35 year 6 maths questions
Practise 35 year 6 maths questions that will help your child stay on track!
Author Amber Watkins
Published February 2024
- Key takeaways
- Year 6 maths word problems help students apply mathematical concepts to real-world scenarios.
- In year 6 maths, it’s important to master fractions, decimals, and order of operations.
- Hard problems can be simplified by drawing a picture or using a method that makes them easier to solve.
Table of contents
- Word problems
- Numbers & place value
Multiplication
If this maths page has 5 sections of maths questions with an average of 7 questions in each section, can you guess how many problems there will be in all? That’s right, there will be a total of 35 year 6 maths questions for us to practise. Without realising it, you just solved one of our first year 6 word problems . Excellent work! Together we will review year 6 maths problems with decimals, fractions, order of operations, and rounding. We will even consider hard maths problems, like multiplying using square models and number lines. Don’t worry about getting the answers right the first time, each section includes answers if you need a sneak peek. So grab a pad and pencil and let’s begin.
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Year 6 maths word problems
Let’s begin by covering maths word problems.
Mia’s water bottle can hold 300 millilitres of water. She drinks two and a half water bottles each day. How many total millilitres of water does Mia drink each day?
The playground is made up of four rectangular lots that are each 10 metres by 7 metres. What is the total area of the playground?
Josh lives 2.5 kilometres away from the park. Josh rides his bike to the park and back home four days a week. How many kilometres does Josh ride his bike each week?
Since we are solving word problems, a word should always be in our answer.
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Numbers & place value
In this section, we will cover maths questions that use place values, word form to standard form, standard form to word form, and expanded form.
Place value
Which digit in the number 245 is in the hundreds place?
Which digit in the number 4,602 is in the tens place?
Which digit in the number 752 is in the ones place?
Word form to standard form
Standard form to expanded form.
4,000 + 300 + 2 = 4,302
600 + 50 + 4 = 654
20,000 + 2,000 + 300 + 60 + 5 = 22,365
In this section, we will cover year six maths questions that include comparing decimals and rounding decimals to the nearest tenth, hundredth, and thousandths place. Let’s get started.
8.9 and 8.900 are the same.
Remember if the number to the right is 5 or larger, you can borrow and become one digit larger. If the number to the right is between 0 and 4, you can’t borrow and the number remains the same.
In this section, we will review maths questionss for year six that cover the topics of adding and subtracting two and three-digit numbers using transformation, division using area models, and the order of operations.
Adding and subtracting whole numbers by transformation
A large portion of year 6 maths problems can be made easier to solve by transformation or changing numbers to make the problem simpler. Let’s practise adding and subtracting two and three-digit numbers by transformation.
How to add numbers using transformation?
When adding or subtracting numbers, look for ways to round to make the problem simpler. Don’t forget what you do to one number, you have to do the opposite to the other. This makes sure the problem stays balanced. Let’s see how this is done. What is 48 + 52? 48 + 2 = 50
52 – 2 = 50
50 + 50 = 100.
It may be difficult to add 48 + 52 in your head, so we round 48 to 50 by adding 2. Since we added 2 to the first number, we have to make sure to subtract 2 from the second number. So now the problem is 50 plus 50, which is much easier to calculate!
32 – 2 = 30 68 + 2 = 70 30 + 70 = 100 The answer is 100.
208 – 8 = 200 432 + 8 = 440 200 + 440 = 640 The answer is 640.
321- 1 = 320 199 + 1 = 200 320- 200 = 120 The answer is 120
Division using area models
Don’t know what an area model is? See our area model guide to help with these problems.
Using an area model find the quotient of 365 ፥ 5 =
Using an area model find the quotient of 504 ፥ 6 =
Using the area model below, find the quotient of 872 ፥ 2 =
Order of operations
Many people remember the Order of Operations with the acronym PEMDAS- “Please Excuse My Dear Aunt Sally”, with each letter representing an operation: Parentheses, Exponents, Multiply or Divide, Add or Subtract. Solve the following equations using the order of operations.
Remember that the steps Multiply or Divide can be done in any order. Also, the steps Add or Subtract can be done in any order, do the operation that comes first.
Some of the hardest maths questions involve multiplying: multiplying using square models, multiplying fractions and whole numbers using expanded form, and multiplying fractions using number lines. Let’s practise a few of each!
Multiplying using square models
Multiplying using square models is a method to help students “see” multiplication problems in a simpler way.
Multiply 42 x 35 using the square model below.
Multiply 55 x 76 using the square model below.
Multiply 98 x 42 using the square model below.
Multiplying fractions and whole numbers using expanded form
Multiply ½ x 5 using expanded form.
Multiply ⅔ x 6 using expanded form.
Multiply ⅙ x 7 using expanded form.
Multiplying fractions using a number line
For more maths practice for year 6 , our app for maths help provides year 6 maths help in a way that makes maths fun, rewards effort over being correct, and scaffolds learning. Plus, you’ll get access to a dashboard that displays your child’s participation and progression on maths topics they struggle with. Check it out today !
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Word problem answer sheet
Mia drinks 750 millilitres of water each day.
Explanation: 300 x 2 = 600. 300 / 2 = 150. 600 + 150 = 750.
280 square metres.
Explanation: The area of one lot is 10 x 7 = 70 metres. Take that area and times it by four, so 70 x 4 = 280 metres.
Josh rides 20 kilometres on his bike each week.
Explanation: Each day Josh rides 5 total kilometres: 2.5 kilometres to the park and 2.5 kilometres back home. If we multiply that number by 4 days a week, it equals 20 kilometres in all.
Writing numbers answer sheet
2 is in the hundreds place.
0 is in the tens place.
2 is in the ones place.
Division using area models answer sheet
Multiplying using square models answer sheet
Multiplying fractions and whole numbers using expanded form answer sheet
Multiplying fractions using a number line answer sheet
Explanation – First divide the number line into 6 equal parts and draw up a line up to 4/6. Then find the ½ way mark of that line you drew up to 4/6. You will now see the line is divided into three parts. So the answer would be ⅓.
Lesson credits
Amber Watkins
Amber is an education specialist with a degree in Early Childhood Education. She has over 12 years of experience teaching and tutoring students in maths. "Knowing that my work in maths education makes such an impact leaves me with an indescribable feeling of pride and joy!"
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Welcome to our Year 6 Maths Worksheets area.
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Come and take a look at our rounding decimal pages, or maybe some of our adding and subtracting fractions worksheets. Perhaps you are looking for some worksheets about finding angles in a triangle, or need some ratio problem worksheets to help your child learn about ratio?
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Year 6 Maths Learning
Here are some of the key learning objectives for the end of Year 6:
- know and use Place value up to 10 million
- Counting on and back in steps of powers of 10 from any number up to 10 million
- Round numbers to any given degree of accuracy.
- Count forwards and backwards through zero with positive and negative numbers.
- Read Roman numerals to 1000 and recognise years written in Roman numerals
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- identify multiples and factors including common factors
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- Use their knowledge of the order of operations to carry out calculations involving the four operations.
- Identify common factors, common multiples and prime numbers.
- solve problems involving addition, subtraction, multiplication and division
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- multiply simple fractions together and simplify the answer
- divide proper fractions by whole numbers
- recall and use equivalence between simple fractions, decimals and percentages.
- Multiply and divide whole numbers and decimals up to 3dp by 10, 100 or 1000
- read, write, order and compare numbers up to 3dp
- round decimals with up to 3dp to the nearest whole
- solve problems with numbers up to 3dp
- work out percentages of different amounts
- solve problems using percentages
- use simple formulae
- express missing number problems using algebra
- find pairs of numbers that satisfy equations with two variables
- solve problems involving simple ratios
- solve problems involving similar shapes where the scale factor is known
- use, read, write and convert between standard units of measure
- measure, compare and calculate using different measures
- know that shapes with the same area can have different perimeters
- find the area of parallelograms and right triangles
- find the volume of cubes and cuboids
- convert between miles and km
- name and understand the parts of circles - radius, diameter and circumference
- draw 2D shapes accurately using dimensions and angles
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Year 6 is generally equivalent to 5th Grade in the US.
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Quicklinks to Year 6 ...
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Place Value & Number Sense Zone
Year 6 number worksheets.
Here you will find a range of Free Printable Year 6 Number Worksheets.
Using these Year 6 maths worksheets will help your child to:
- use place value with numbers up to 10 million;
- use place value with up to 3 decimal places;
- understand how to use exponents (powers) of a number;
- understand and use parentheses (brackets);
- understand and use multiples and factors;
- extend their knowledge of prime and composite (non-prime) numbers up to 100;
- know and be able to use the PEMDAS (or PEDMAS) rule.
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Ordering Large Numbers and Decimals to 3dp
The sheets in this section involve ordering lists of decimals to 3 decimal places and also large numbers up to 100 million.
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- Ordering Large Numbers up to 100 million
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Rounding Decimals
- Rounding to the nearest tenth
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Year 6 Decimal Counting Worksheets
Using these sheets will support you child to:
- count on and back by multiples of 0.1;
- fill in the missing numbers in sequences;
- count on and back into negative numbers.
- Counting By Decimals
Year 6 Mental Maths Zone
Each worksheet tests the children on a range of math topics from number facts and mental arithmetic to geometry, fraction and measures questions.
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- Year 6 Mental Maths Tests
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Year 6 Addition Worksheets
- add decimals including tenths and hundredths mentally;
- add a columns of multi-digit numbers, including decimals.
- Decimal Addition Fact Worksheets
- 5th Grade Addition Worksheets BIG Numbers
- Decimal Column Addition Worksheets
- Money Worksheets (randomly generated)
Year 6 Subtraction Worksheets
Using these sheets will help your child to:
- subtract decimals including tenths and hundredths mentally;
- subtract multi-digit numbers, including decimals using column subtraction.
- Subtracting Decimals Worksheets (mental)
- Subtraction Worksheets up to Billions (columns)
- Column Subtraction with Decimals
Year 6 Multiplication Worksheets
- extend their knowlege of multiplication to decimals;
- use their multiplication tables to answer related facts, including decimals;
- multiply a range of decimals with up to 2 decimal places (2dp) by a whole number;
- multiply different money amounts by a whole number.
- Multiplying Decimals by 10 and 100
- Multiplication Fact Sheet Decimals
- Decimal Multiplication Worksheets to 1dp
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- Multiply and Divide by 10 100 (decimals)
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Division Worksheets 5th Grade
Using these Year 6 maths worksheets will help your child learn to:
- divide any whole number up to 10000 by a two digit number;
- express any division with a remainder in the form of a mixed number (a number with a fraction part).
- Long Division Worksheets (whole numbers)
- Long Division of Decimal Numbers
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Year 6 Maths Problems
- apply their addition, subtraction, multiplication and division skills;
- apply their knowledge of rounding and place value;
- solve a range of problems including "real life" problems and ratio problems.
These sheets involve solving one or two more challenging longer problems.
- Year 6 Math Problems (5th Grade)
These sheets involve solving many 'real-life' problems involving data.
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These sheets involve solving a range of ratio problems.
Year 6 Fraction Worksheets
Year 6 percentage worksheets, year 6 ratio worksheets.
- compare and order fractions;
- add and subtract fractions and mixed numbers;
- understand how to multiply fractions by a whole number;
- understand how to multiply two fractions together, including mixed fractions;
- understand the relationship between fractions and division;
- know how to divide fractions and mixed fractions;
- convert decimals to fractions.
- Comparing Fractions Worksheet page
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Take a look at our percentage worksheets for finding the percentage of a number or money amount.
We have a range of percentage sheets from quite a basic level to much harder.
- Percentage of Numbers Worksheets
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- Percentage Word Problems
These Year 6 Ratio worksheets are a great way to introduce this concept.
We have a range of part to part ratio worksheets and slightly harder problem solving worksheets.
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Year 6 Geometry Worksheets
- know how to find missing angles in a range of situations;
- learn the number of degrees in a right angle, straight line, around a point and in a triangle;
- know how to calculate the area of a triangle;
- know how to calculate the area of a range of quadrilaterals.
- learn the formulas to calculate the area of triangles and some quadrilaterals;
- write and plot coordinates in all 4 quadrants.
- (5th Grade) Geometry - Angles
- Area of Quadrilaterals
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- learn how to estimate a measurement of length, weight or liquid;
- convert temperatures in Celsius and Fahrenheit.
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Using these sheets will help you to:
- find the mean of up to 5 numbers;
- find a missing data point when the mean is given.
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Year 6 Maths Puzzles
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Math Salamanders Year 6 Maths Games Ebook
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Year 6 Maths Problems
Subject: Mathematics
Age range: 7-11
Resource type: Worksheet/Activity
Last updated
22 February 2018
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Year 6 Maths Scheme of Work (based on White Rose Maths)
A scheme of learning with planning and worksheets included for Year 6 Maths. Included are 90 lessons that cover: Place Value Rounding Negative Numbers Roman Numerals Indices Inverse operations Written addition and subtraction Mental addition and subtraction Written multiplication and division Order of operations Finding fractions of amounts Comparing fractions Converting between improper and mixed number fractions Add and subtract fractions Multiply fractions together Multiply fractions by whole numbers Divide fractions by whole numbers Percentages Fraction, decimal and percentages Ratio Algebra including missing information, expressing problems, satisfying equations, satisfying two variables and sequences Multiplying and dividing by 10, 100 and 1000 Multiplying decimal numbers Finding percentages of amounts x 2 Fraction, decimal and percentage equivalents Converting measurements Miles and kms Time Shape with same area but different perimeter and vice versa Volume Area Area of triangles Addition and subtraction (Same as 1st planning scheme as it is revision) Multiplication (Same as 1st planning scheme as it is revision) Division (Same as 1st planning scheme as it is revision) Worksheets are differentiated three ways with a mastery aim running throughout. Having used a similar format in my own lessons, these sheets often provide enough challenge for two days lessons, with children taking on the easier work then moving on to harder challenges within the other sheets. These have all been made with mastery in mind and so follow this pattern. Worksheet One - Works on practise and fluency (LA) Worksheet Two - Practise, fluency and reasoning (MA) Worksheet Three - Practise, fluency, reasoning and problem solving (HA) Worksheet Four - Same as worksheet three as a spare for anybody who finishes problem solving Answers are included for each sheet.
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WEEK 09 CALCULATING MISSING ANGLES IN QUADRILATERALS AND TRIANGLES acute obtuse reflex right 2d shape | ||||||||
WEEK 09 CALCULATING MISSING ANGLES IN QUADRILATERALS AND TRIANGLES acute obtuse reflex right 2d shape | ||||||||
WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS take away addition subtraction | WEEK 10 | ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS | ||||||
WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS take away addition subtraction | ||||||||
WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS take away addition subtraction | ||||||||
WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS take away addition subtraction | ||||||||
WEEK 10 ADDING AND SUBTRACTING FRACTIONS AND MIXED NUMBERS take away addition subtraction | ||||||||
WEEK 11 READ & WRITE VALUES UP TO 10000000 place value million number | WEEK 11 | READ AND WRITE VALUES UP TO 10,000,000 | ||||||
WEEK 11 READ & WRITE VALUES UP TO 10000000 place value million number | ||||||||
WEEK 11 READ & WRITE VALUES UP TO 10000000 place value million number | ||||||||
WEEK 11 READ & WRITE VALUES UP TO 10000000 place value million number | ||||||||
WEEK 11 READ & WRITE VALUES UP TO 10000000 place value million number | ||||||||
WEEK 12 CONVERTING BETWEEN DIFFERENT METRIC UNITS OF MEASUREMENT length mass capacity mm cm metre km kilo gram cl ml milli | WEEK 12 | CONVERTING BETWEEN DIFFERENT METRIC UNITS OF MEASUREMENT | ||||||
WEEK 12 CONVERTING BETWEEN DIFFERENT METRIC UNITS OF MEASUREMENT length mass capacity mm cm metre km kilo gram cl ml milli | ||||||||
WEEK 12 CONVERTING BETWEEN DIFFERENT METRIC UNITS OF MEASUREMENT length mass capacity mm cm metre km kilo gram cl ml milli | ||||||||
WEEK 12 CONVERTING BETWEEN DIFFERENT METRIC UNITS OF MEASUREMENT length mass capacity mm cm metre km kilo gram cl ml milli | ||||||||
WEEK 13 INTERPRETING A PIE CHART graph proportion read | WEEK 13 | INTERPRETING A PIE CHART | ||||||
WEEK 13 INTERPRETING A PIE CHART graph proportion read | ||||||||
WEEK 13 INTERPRETING A PIE CHART graph proportion read | ||||||||
WEEK 13 INTERPRETING A PIE CHART graph proportion read | ||||||||
WEEK 14 USE A FORMULA TO CALCULATE THE AREA & VOLUME OF SHAPES 2d 3d width height depth length dimension | WEEK 14 | USE A FORMULA TO CALCULATE THE AREA AND VOLUME OF SHAPES | ||||||
WEEK 14 USE A FORMULA TO CALCULATE THE AREA & VOLUME OF SHAPES 2d 3d width height depth length dimension | ||||||||
WEEK 14 USE A FORMULA TO CALCULATE THE AREA & VOLUME OF SHAPES 2d 3d width height depth length dimension | ||||||||
WEEK 14 USE A FORMULA TO CALCULATE THE AREA & VOLUME OF SHAPES 2d 3d width height depth length dimension | ||||||||
WEEK 14 USE A FORMULA TO CALCULATE THE AREA & VOLUME OF SHAPES 2d 3d width height depth length dimension | ||||||||
WEEK 15 SEEING FRACTIONS AS DIVISION divide denominator numerator share | WEEK 15 | SEEING FRACTIONS AS DIVISION | ||||||
WEEK 15 SEEING FRACTIONS AS DIVISION divide denominator numerator share | ||||||||
WEEK 15 SEEING FRACTIONS AS DIVISION divide denominator numerator share | ||||||||
WEEK 16 FIND VALUES FOR TWO UNKNOWN NUMBERS algebra x y variable missing | WEEK 16 | FIND VALUES FOR TWO UNKNOWN NUMBERS | ||||||
WEEK 16 FIND VALUES FOR TWO UNKNOWN NUMBERS algebra x y variable missing | ||||||||
WEEK 16 FIND VALUES FOR TWO UNKNOWN NUMBERS algebra x y variable missing | ||||||||
WEEK 17 READ & WRITE ROMAN NUMERALS | WEEK 17 | READ AND WRITE ROMAN NUMERALS | ||||||
WEEK 17 READ & WRITE ROMAN NUMERALS | ||||||||
WEEK 17 READ & WRITE ROMAN NUMERALS | ||||||||
WEEK 17 READ & WRITE ROMAN NUMERALS | ||||||||
WEEK 18 READING LINE GRAPHS chart interpret time | WEEK 18 | READING LINE GRAPHS | ||||||
WEEK 18 READING LINE GRAPHS chart interpret time | ||||||||
WEEK 18 READING LINE GRAPHS chart interpret time | ||||||||
WEEK 19 CALCULATING THE HIGHEST COMMON FACTOR, LOWEST COMMON MULTIPLE & IDENTIFYING PRIME NUMBERS | WEEK 19 | CALCULATING THE HIGHEST COMMON FACTOR, LOWEST COMMON MULTIPLE & IDENTIFYING PRIME NUMBERS | ||||||
WEEK 19 CALCULATING THE HIGHEST COMMON FACTOR, LOWEST COMMON MULTIPLE & IDENTIFYING PRIME NUMBERS | ||||||||
WEEK 19 CALCULATING THE HIGHEST COMMON FACTOR, LOWEST COMMON MULTIPLE & IDENTIFYING PRIME NUMBERS | ||||||||
WEEK 20 MISSING ANGLES AT A POINT ON A STRAIGHT LINE & OPPOSITE ANGLES 180 360 degree | WEEK 20 | MISSING ANGLES AT A POINT, ON A STRAIGHT LINE AND OPPOSITE ANGLES | ||||||
WEEK 20 MISSING ANGLES AT A POINT ON A STRAIGHT LINE & OPPOSITE ANGLES 180 360 degree | ||||||||
WEEK 20 MISSING ANGLES AT A POINT ON A STRAIGHT LINE & OPPOSITE ANGLES 180 360 degree | ||||||||
WEEK 21 USING THE SHORT DIVISION METHOD TO CALCULATE DECIMAL REMAINDERS divide bus stop share | WEEK 21 | USING THE SHORT DIVISION METHOD TO CALCULATE DECIMAL REMAINDERS | ||||||
WEEK 21 USING THE SHORT DIVISION METHOD TO CALCULATE DECIMAL REMAINDERS divide bus stop share | ||||||||
WEEK 21 USING THE SHORT DIVISION METHOD TO CALCULATE DECIMAL REMAINDERS divide bus stop share | ||||||||
WEEK 22 CALCULATING THROUGH ZERO positive negative value 0 | WEEK 22 | CALCULATING THROUGH ZERO | ||||||
WEEK 22 CALCULATING THROUGH ZERO positive negative value 0 | ||||||||
WEEK 22 CALCULATING THROUGH ZERO positive negative value 0 | ||||||||
WEEK 23 CONVERTING BETWEEN KM AND MILES equal same kilometre length metric | WEEK 23 | CONVERTING BETWEEN KM AND MILES | ||||||
WEEK 23 CONVERTING BETWEEN KM AND MILES equal same kilometre length metric | ||||||||
WEEK 23 CONVERTING BETWEEN KM AND MILES equal same kilometre length metric | ||||||||
WEEK 24 DIVIDING FRACTIONS BY A WHOLE NUMBER division share | WEEK 24 | DIVIDING FRACTIONS BY A WHOLE NUMBER | ||||||
WEEK 24 DIVIDING FRACTIONS BY A WHOLE NUMBER division share | ||||||||
WEEK 24 DIVIDING FRACTIONS BY A WHOLE NUMBER division share | ||||||||
WEEK 25 RECOGNISE DESCRIBE & DRAW THE NETS OF 3D SHAPES cube cuboid prism cylinder tetrahedron pyramid | WEEK 25 | RECOGNISE, DESCRIBE AND DRAW THE NETS OF 3D SHAPES | ||||||
WEEK 25 RECOGNISE DESCRIBE & DRAW THE NETS OF 3D SHAPES cube cuboid prism cylinder tetrahedron pyramid | ||||||||
WEEK 25 RECOGNISE DESCRIBE & DRAW THE NETS OF 3D SHAPES cube cuboid prism cylinder tetrahedron pyramid | ||||||||
WEEK 26 SOLVE REAL-LIFE PROBLEMS USING ALL 4 OPERATIONS solving everyday subtract take away divide division share multiply multiplication addition adding | WEEK 26 | SOLVE REAL-LIFE PROBLEMS USING ALL 4 OPERATIONS | ||||||
WEEK 26 SOLVE REAL-LIFE PROBLEMS USING ALL 4 OPERATIONS solving everyday subtract take away divide division share multiply multiplication addition adding | ||||||||
WEEK 26 SOLVE REAL-LIFE PROBLEMS USING ALL 4 OPERATIONS solving everyday subtract take away divide division share multiply multiplication addition adding | ||||||||
WEEK 27 CALCULATING EQUIVALENT FRACTIONS AND SIMPLEST FORM lowest term equal same | WEEK 27 | CALCULATING EQUIVALENT FRACTIONS AND SIMPLEST FORM | ||||||
WEEK 27 CALCULATING EQUIVALENT FRACTIONS AND SIMPLEST FORM lowest term equal same | ||||||||
WEEK 27 CALCULATING EQUIVALENT FRACTIONS AND SIMPLEST FORM lowest term equal same | ||||||||
WEEK 27 CALCULATING EQUIVALENT FRACTIONS AND SIMPLEST FORM lowest term equal same | ||||||||
WEEK 28 AREA & PERIMETER OF 2D SHAPES length triangle rectangle square parallelogram | WEEK 28 | AREA AND PERIMETER OF 2D SHAPES | ||||||
WEEK 28 AREA & PERIMETER OF 2D SHAPES length triangle rectangle square parallelogram | ||||||||
WEEK 28 AREA & PERIMETER OF 2D SHAPES length triangle rectangle square parallelogram | ||||||||
WEEK 28 AREA & PERIMETER OF 2D SHAPES length triangle rectangle square parallelogram | ||||||||
WEEK 29 DIVIDING A QUANTITY BY A RATIO proportion share division | WEEK 29 | DIVIDING A QUANTITY BY A RATIO | ||||||
WEEK 29 DIVIDING A QUANTITY BY A RATIO proportion share division | ||||||||
WEEK 29 DIVIDING A QUANTITY BY A RATIO proportion share division | ||||||||
WEEK 30 DRAWING GRAPHS FROM A TABLE OF DATA chart pie line bar pictogram | WEEK 30 | DRAWING GRAPHS FROM A TABLE OF DATA | ||||||
WEEK 30 DRAWING GRAPHS FROM A TABLE OF DATA chart pie line bar pictogram | ||||||||
WEEK 30 DRAWING GRAPHS FROM A TABLE OF DATA chart pie line bar pictogram | ||||||||
WEEK 31 CALCULATE A PERCENTAGE OF A QUANTITY % divide | WEEK 31 | CALCULATE A PERCENTAGE OF A QUANTITY | ||||||
WEEK 31 CALCULATE A PERCENTAGE OF A QUANTITY % divide | ||||||||
WEEK 31 CALCULATE A PERCENTAGE OF A QUANTITY % divide | ||||||||
WEEK 32 WRITE AND DESCRIBE NUMBER SEQUENCES pattern term | WEEK 32 | WRITE AND DESCRIBE NUMBER SEQUENCES | ||||||
WEEK 32 WRITE AND DESCRIBE NUMBER SEQUENCES pattern term | ||||||||
WEEK 32 WRITE AND DESCRIBE NUMBER SEQUENCES pattern term | ||||||||
WEEK 33 IDENTIFYING THE DIFFERENT PARTS OF A CIRCLE CIRCUMFERENCE DIAMETER RADIUS | WEEK 33 | IDENTIFYING THE DIFFERENT PARTS OF A CIRCLE | ||||||
WEEK 33 IDENTIFYING THE DIFFERENT PARTS OF A CIRCLE CIRCUMFERENCE DIAMETER RADIUS | ||||||||
WEEK 33 IDENTIFYING THE DIFFERENT PARTS OF A CIRCLE CIRCUMFERENCE DIAMETER RADIUS | ||||||||
WEEK 34 MULTIPLYING 2 FRACTIONS GIVING THE ANSWER IN ITS SIMPLEST FORM lowest multiplication times table term | WEEK 34 | MULTIPLYING 2 FRACTIONS GIVING THE ANSWER IN ITS SIMPLEST FORM | ||||||
WEEK 34 MULTIPLYING 2 FRACTIONS GIVING THE ANSWER IN ITS SIMPLEST FORM lowest multiplication times table term | ||||||||
WEEK 34 MULTIPLYING 2 FRACTIONS GIVING THE ANSWER IN ITS SIMPLEST FORM lowest multiplication times table term | ||||||||
WEEK 35 CALCULATE THE MEAN AVERAGE OF A SET OF NUMBERS | WEEK 35 | CALCULATE THE MEAN AVERAGE OF A SET OF NUMBERS | ||||||
WEEK 35 CALCULATE THE MEAN AVERAGE OF A SET OF NUMBERS | ||||||||
WEEK 35 CALCULATE THE MEAN AVERAGE OF A SET OF NUMBERS | ||||||||
WEEK 35 CALCULATE THE MEAN AVERAGE OF A SET OF NUMBERS | ||||||||
WEEK 36 USE POSITIVE AND NEGATIVE VALUES number | WEEK 36 | USE POSITIVE AND NEGATIVE VALUES | ||||||
WEEK 36 USE POSITIVE AND NEGATIVE VALUES number | ||||||||
WEEK 36 USE POSITIVE AND NEGATIVE VALUES number | ||||||||
WEEK 37 MULTIPLYING A WHOLE NUMBER AND A DECIMAL VALUE multiplication unit | WEEK 37 | MULTIPLYING A WHOLE NUMBER AND A DECIMAL VALUE | ||||||
WEEK 37 MULTIPLYING A WHOLE NUMBER AND A DECIMAL VALUE multiplication unit | ||||||||
WEEK 37 MULTIPLYING A WHOLE NUMBER AND A DECIMAL VALUE multiplication unit | ||||||||
WEEK 38 CALCULATE EQUIVALENT FRACTIONS, DECIMALS AND PERCENTAGES equal % convert | WEEK 38 | CALCULATE EQUIVALENT FRACTIONS, DECIMALS AND PERCENTAGES | ||||||
WEEK 38 CALCULATE EQUIVALENT FRACTIONS, DECIMALS AND PERCENTAGES equal % convert | ||||||||
WEEK 38 CALCULATE EQUIVALENT FRACTIONS, DECIMALS AND PERCENTAGES equal % convert | ||||||||
WEEK 39 USING THE ORDER OF OPERATIONS bidmas bodmas add subtract take away divide division share multiply multiplication | WEEK 39 | USING THE ORDER OF OPERATIONS | ||||||
WEEK 39 USING THE ORDER OF OPERATIONS bidmas bodmas add subtract take away divide division share multiply multiplication | ||||||||
WEEK 39 USING THE ORDER OF OPERATIONS bidmas bodmas add subtract take away divide division share multiply multiplication | ||||||||
WEEK 40 IDENTIFY THE VALUE OF DIGITS IN DECIMAL NUMBERS place value | WEEK 40 | IDENTIFY THE VALUE OF DIGITS IN DECIMAL NUMBERS | ||||||
WEEK 40 IDENTIFY THE VALUE OF DIGITS IN DECIMAL NUMBERS place value | ||||||||
WEEK 40 IDENTIFY THE VALUE OF DIGITS IN DECIMAL NUMBERS place value | ||||||||
WEEK 41 DRAWING PIE CHARTS graph proportion | WEEK 41 | DRAWING PIE CHARTS | ||||||
WEEK 41 DRAWING PIE CHARTS graph proportion | ||||||||
WEEK 41 DRAWING PIE CHARTS graph proportion | ||||||||
WEEK 42 SUBSTITUTING A VALUE INTO A FORMULA algebra replace equation expression | WEEK 42 | SUBSTITUTING A VALUE INTO A FORMULA | ||||||
WEEK 42 SUBSTITUTING A VALUE INTO A FORMULA algebra replace equation expression | ||||||||
WEEK 42 SUBSTITUTING A VALUE INTO A FORMULA algebra replace equation expression | ||||||||
WEEK 43 TRANSLATING 2D SHAPES moving move polygon transformation | WEEK 43 | TRANSLATING 2D SHAPES | ||||||
WEEK 43 TRANSLATING 2D SHAPES moving move polygon transformation | ||||||||
WEEK 43 TRANSLATING 2D SHAPES moving move polygon transformation | ||||||||
WEEK 44 SOLVING PROBLEMS WITH UNITS OF MEASUREMENT solve mm cm metre km kilo milli centi gram kg ml cl litre | WEEK 44 | SOLVING PROBLEMS WITH UNITS OF MEASUREMENT | ||||||
WEEK 44 SOLVING PROBLEMS WITH UNITS OF MEASUREMENT solve mm cm metre km kilo milli centi gram kg ml cl litre | ||||||||
WEEK 44 SOLVING PROBLEMS WITH UNITS OF MEASUREMENT solve mm cm metre km kilo milli centi gram kg ml cl litre | ||||||||
WEEK 45 ESTIMATING TO CHECK ANSWERS guess approx estimate | WEEK 45 | ESTIMATING TO CHECK ANSWERS | ||||||
WEEK 45 ESTIMATING TO CHECK ANSWERS guess approx estimate | ||||||||
WEEK 45 ESTIMATING TO CHECK ANSWERS guess approx estimate | ||||||||
WEEK 46 COMPARING & ORDERING FRACTIONS greater less ascend descend | WEEK 46 | COMPARING AND ORDERING FRACTIONS | ||||||
WEEK 46 COMPARING & ORDERING FRACTIONS greater less ascend descend | ||||||||
WEEK 46 COMPARING & ORDERING FRACTIONS greater less ascend descend | ||||||||
WEEK 46 COMPARING & ORDERING FRACTIONS greater less ascend descend | ||||||||
WEEK 47 CALCULATING THE AREA OF TRIANGLES AND PARALLELOGRAMS space 2d shape | WEEK 47 | CALCULATING THE AREA OF TRIANGLES AND PARALLELOGRAMS | ||||||
WEEK 47 CALCULATING THE AREA OF TRIANGLES AND PARALLELOGRAMS space 2d shape | ||||||||
WEEK 47 CALCULATING THE AREA OF TRIANGLES AND PARALLELOGRAMS space 2d shape | ||||||||
WEEK 47 CALCULATING THE AREA OF TRIANGLES AND PARALLELOGRAMS space 2d shape | ||||||||
WEEK 48 TO CLASSIFY AND SORT 2D AND 3D SHAPES venn carrol properties vertex vertices sides | WEEK 48 | TO CLASSIFY AND SORT 2D AND 3D SHAPES | ||||||
WEEK 48 TO CLASSIFY AND SORT 2D AND 3D SHAPES venn carrol properties vertex vertices sides | ||||||||
WEEK 48 TO CLASSIFY AND SORT 2D AND 3D SHAPES venn carrol properties vertex vertices sides | ||||||||
WEEK 49 TO COMPARE AND ORDER NUMBERS UP TO 10000000 million ten greater less equal value ascend descend place value | WEEK 49 | TO COMPARE AND ORDER NUMBERS UP TO 10,000,000 | ||||||
WEEK 49 TO COMPARE AND ORDER NUMBERS UP TO 10000000 million ten greater less equal value ascend descend place value | ||||||||
WEEK 49 TO COMPARE AND ORDER NUMBERS UP TO 10000000 million ten greater less equal value ascend descend place value | ||||||||
WEEK 50 MENTALLY CALCULATE WITH ALL 4 OPERATIONS add addition adding subtract take away multiply multiplication times tables divide division share | WEEK 50 | MENTALLY CALCULATE WITH ALL 4 OPERATIONS | ||||||
WEEK 50 MENTALLY CALCULATE WITH ALL 4 OPERATIONS add addition adding subtract take away multiply multiplication times tables divide division share | ||||||||
WEEK 50 MENTALLY CALCULATE WITH ALL 4 OPERATIONS add addition adding subtract take away multiply multiplication times tables divide division share | ||||||||
WEEK 51 SOLVE PROBLEMS WITH RATIO & PROPORTION fraction part divide share | WEEK 51 | SOLVE PROBLEMS WITH RATIO AND PROPORTION | ||||||
WEEK 51 SOLVE PROBLEMS WITH RATIO & PROPORTION fraction part divide share | ||||||||
WEEK 51 SOLVE PROBLEMS WITH RATIO & PROPORTION fraction part divide share | ||||||||
WEEK 52 DRAW A LINE GRAPH FROM A TABLE OF DATA chart time | WEEK 52 | DRAW A LINE GRAPH FROM A TABLE OF DATA | ||||||
WEEK 52 DRAW A LINE GRAPH FROM A TABLE OF DATA chart time | ||||||||
WEEK 52 DRAW A LINE GRAPH FROM A TABLE OF DATA chart time |
Welcome to the Year 6 Mini-Maths homepage. Daily maths questions for Year 6 are available for every week of the year, providing free help for teachers, pupils and parents. 1000s of free tasks and activities are available to support children in their learning both in the classroom and at home. Use the search and filter box below to easily find the outcomes you require.
It is recommended that a topic is selected per week and daily maths tasks accessed using the links provided below. Use each day’s answers to help identify and guide the required support in preparation for the following day’s task. Watch your understanding, application and confidence grow throughout the week. New resources are always being added, so keep checking for updates.
More about Year 6 Maths Questions …
The Year 6 curriculum completes the Key Stage 2 maths programme of learning bringing understanding and confidence together from Year 3 through to the end of Year 6. This journey culminates in the KS2 SATs assessments where learners are able to demonstrate their progress and development in the subject.
Year 6 NUMBER …
The four operations reach a natural conclusion in Year 6 – addition, subtraction, multiplication and division involve more complex examples before introducing decimals values . Learners are looking to extend their understanding of units, tens, hundreds, thousands, etc, with the Place value of digits in decimal places, supporting the wider curriculum such as calculating decimal remainders using short division.
Year 6 SHAPE …
Learners have been developing a sound understanding of 2D shape and 3D shape allowing them to sort and classify by their properties. Being able to identify and use these properties also improves an awareness of a shape’s area and perimeter or volume .
Year 6 DATA …
Year 5 offers further coverage of tables, charts and graphs, where learners are expected to both read and interpret information in all types of graphs and charts including pie charts . Drawing graphs and charts from given data is also introduced in Year 6 maths.
All learning objectives are supported by a Home Learning pack and iQ mastery questions challenge learners’ understanding, application and confidence. The Home Learning packs provide first class opportunities for effective intervention and an ever growing library of help videos for Year 6 maths is available on the MyMiniMaths YouTube channel in support of quality learning.
Year 6 SATs …
MyMiniMaths also offers specialised support for Year 6 SATs with a programme of practice KS2 SATs papers for the arithmetic paper . Easy identification of key skills in need of further support to maximise attainment is available through the Arithmetic Target Questions .
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Daily Maths Word Problems - Year 6 (Worksheets)
Updated: 17 Apr 2024
A set of 20 problem-solving questions suited to year 6 students.
Non-Editable: PDF
Pages: 6 Pages
- Curriculum Curriculum: AUS V8, VIC, AUS V9
- Printable PDF (pdf) Sign up to Plus
This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics.
It provides students with the opportunity to work through 20 maths word problems, identifying the important information and how they can work it out using a variety of methods.
An answer sheet has been included.
Use this resource in conjunction with the Daily Maths Problems PowerPoint : [resource:607261]
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10 Comments
Write a review to help other teachers and parents like yourself. If you'd like to request a change to this resource, or report an error, select the corresponding tab above.
Pls tell me the answer of Millie held a two-hour cookie sale to raise money for her school. Cookies were priced at $3 each. Millie raised $48 in the first hour. At the end of the sale, Millie had raised $105. How many cookies did Millie sell in the second hour?
Hi Simba, You can find the answers on the last page of this resource. If you need assistance with anything else, please don't hesitate to get in touch!
Hello, would it be possible to have the questions related to Australia's system of measurement please e.g. miles to kilometres and Fahrenheit to Celsius Thank you!
Hi Lauren, I think the issue has been fixed now. You can download this resource again. If there is anything else I can assist you with, please don't hesitate to contact me.
Resource updates
Question 8 needed adjustments on the quantities to make the problem work. This has been updated
Fixed the answer on Question 20.
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Year 6 Maths SATs Past Papers and Solutions
On this page you will find all the past papers and solutions for the maths SATs papers that students in the UK sit in Year 6 (age 10 and 11). I hope they are useful to anyone revising for or teaching this exam.
Even if you are not a primary school teacher/student, these are incredibly useful for those in secondary education. They give a great insight into the level of work students have covered at primary school, and are a great source for extra questions
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Problem-solving maths investigations for year 6.
Hamilton provide an extensive suite of problem-solving maths investigations for Year 6 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor – high ceiling' activities for all.
Explore all our in-depth problem solving investigations for Year 6 .
Use problem-solving investigations within every unit to encourage children to develop and exercise their ability to reason mathematically and think creatively.
Investigations provide challenges that offer opportunities for the development of the key mathematical skills while deepening conceptual understanding. They are designed to be accessible in different ways to all children. An added bonus is the substantial amount of extra calculation practice they often incorporate! The problems are designed to help children identify patterns, to explore lines of thinking and to reason and communicate about properties of numbers, shapes and measures.
Hamilton provide a mix of our own specially commissioned investigations, that include guidance for teachers together with a child-friendly sheet to guide your pupils through the investigation, as well as links to investigations on other highly regarded websites.
I am very grateful for Hamilton Trust resources, particularly the maths investigations. Julia, teacher in Wiltshire
You can find Hamilton's investigations for Year 6:
- Individually, they are incorporated into every unit in our Year 6 flexible maths blocks .
- Collectively, they appear on our resources page where you can explore all our in-depth problem solving investigations for Year 6 .
Do read our extensive range of advice for more information about the investigations and for tips on how to use them effectively.
Hamilton’s problem-solving investigations are 'low floor, high ceiling' activities that give all children opportunities to develop mastery and mathematical meta-skills. Explore a set for a whole year group.
Hamilton’s Problem-solving Investigations provide school-wide solutions to the challenges of building investigative skills from Early Years to Year 6.
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20 Word Problems For Year 6: Develop Their Problem Solving Skills Across Single and Mixed KS2 Topics
Emma Johnson
Word problems for Year 6 are an important part of the curriculum. For children to achieve success in the Year 6 SATs, in particular the more challenging reasoning element of the SATs assessments, it is essential they have the confidence to tackle a wide range of word problems.
Key to this success is regular exposure to the style and type of questions, covering the topics children could be presented with. Our collection of year 6 maths worksheets are is a great place to start.
To help child practice their problem solving skills, we have put together a collection of 20 word problems , organised by topic. This collection encompasses the types of questions children may encounter in the two reasoning papers.
All Kinds of Word Problems Four Operations
Download this free pack of word problems. With questions covering all four operations, your students will have a great opportunity to practice their problem solving skills across KS2 topics.
Place value
Addition, subtraction, multiplication and division, fractions , ratio and proportion, why are word problems important in year 6 maths, how to teach problem solving in year 6, word problems in sats, addition word problems for year 6 , subtraction word problems for year 6, multiplication word problems for year 6, division word problems for year 6, fractions, decimals and percentage word problems for year 6, ratio word problems for year 6, mixed four operation word problems for year 6, more word problems resources, year 6 maths word problems in the national curriculum.
The National Curriculum states that children need to be able to solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into simpler steps and persevering in seeking solutions.
By Year 6, children can expect to be tackling a range of one-step, two-step and multi-step word problems. To achieve at least the expected standard in Year 6, pupils need to demonstrate the ability to solve word problems across a range of topics.
Solving problems including ordering, rounding and negative numbers.
Solving multiplication, division and addition and subtraction word problems including one and two-step word problems and multi-step word problems in context, deciding which operations and methods to use and why.
Solving problems involving comparing, ordering and sequencing fractions; using the four operations and problems which require answers to be rounded to specified degrees of accuracy.
Solving problems involving the relative sizes of two quantities; the calculation of percentages; involving similar shapes where the scale factor is known and can be found; and unequal sharing and grouping, using knowledge of fractions and multiples.
Solving problems including time word problems and involving the calculation and conversion of units of measure, using decimal notation up to three decimal places, where appropriate.
Interpret and construct pie and line graphs and use these to solve problems.
Word problems are an essential element of the Year 6 curriculum, because they require children to apply the knowledge they have learnt to ‘real life’ situations, for example, in money word problems . They shouldn’t just be taught as stand alone topics, but should be incorporated in lessons throughout the year, to ensure children have as much exposure as possible.
Solving word problems helps children learn the skills needed to apply their knowledge of maths beyond the classroom and into the real world.
When teaching problem solving in Year 6, children need to firstly look carefully at the key information and think about what they already know. Secondly, what is the word problem actually asking? Which calculation(s) would be required and would it help to draw/represent the problem pictorially?
Here is an example:
Ahmed is buying clothes. He buys a t-shirt for £12.99 and a pair of jeans which cost £12.26 more than the T-shirt. He pays with a £50 note. What change does Ahmed get?
How to solve:
What do you already know?
- More than means I will need to add the price of the T-shirt and jeans together.
- Decimals numbers means I need to remember to line up the decimal points in my calculations.
- Calculating change means I will need to subtract the total for the jeans and T-shirt from the original amount.
How can this be drawn/represented pictorially?
We can draw a bar model to represent this problem:
- To calculate the cost of the jeans, we need to add £12.99 and £12.26 = £25.25
- Ahmed pays using a £50 note.
- To calculate the change Ahmed will get, we need to subtract £25.25 from £50.
- £50 – £25.25 = £24.75
Problem solving is an important part of the preparation for the Key Stage 2 SATs, as this is the area children tend to find the most challenging. With two reasoning papers to complete, children will be expected to answer a wide range of word and number problem style questions. The best preparation for this is through regular exposure to these types of questions.
Addition word problems at Year 6 include larger 6 or 7 digit numbers, decimal numbers and problems involving finding the inverse. These can be one, two and multi-step problems
Addition question 1
A shopping centre had 124,713 visitors in January, 102,539 in February and 118,768 in March. How many shoppers visited the shopping centre from January to March?
Answer (1 mark): 346,020
Addition question 2
A shop has an offer on all T-shirts.
Buy one T-shirt, get one for half price.
If Tom buys 2 T-shirts, how much does he pay altogether?
Answer (2 marks): £7.35
Addition question 3
The table below shows the number of visitors to the planetarium and the transport museum each day. Which day had the most visitors?
Answer (2 marks): Saturday
Subtraction word problems in Year 6 include larger 6 or 7 digit numbers, decimal numbers and problems involving finding the inverse. These can be one, two and multi-step problems
Subtraction question 1
In the Autumn term, the total number of English and maths worksheets printed by a school was 63,502. 39,756 were maths worksheets. How many worksheets were printed out for English?
Answer (1 mark): 23,746
Subtraction question 2
6 cars were weighed before being loaded onto the car transporter.
They weight of the cars was:
What is the difference in weight between the heaviest and lightest car?
Answer (1 mark): 1043kg
Subtraction question 3
Two decimal numbers add together to make 37.53.
One number is 23.86.
What is the other number?
Answer (1 mark): 13.67
Multiplication word problems can include multiplying whole and decimal numbers by 1 and 2-digit numbers. A secure knowledge of times tables is helpful for children solving these questions confidently.
Multiplication question 1
A box of chocolate contains 2 trays of chocolates.
There are 18 chocolates on each tray.
How many chocolates are there in 35 boxes of chocolates?
Answer (2 marks): 1260
Multiplication question 2
Zara buys 4 large boxes of cupcakes and 3 small boxes of cupcakes.
Each large box contains 28 cupcakes. Each small box contains 16 cupcakes.
How many cupcakes does Zara buy altogether?
Answer (2 marks): 160
Multiplication question 3
A cyclist cycled a route of 123.6 miles once a week for a year. How far did he cycle over the whole year?
Answer (2 marks): 6427.2
Division word problems in Year 6 can include division with whole numbers and decimal numbers, dividing by 1 and 2-digit numbers.
Division question 1
A 940ml bottle of blackcurrant makes 20 drinks.
How many millilitres of blackcurrant are in each drink?
Answer (2 marks): 47
Division question 2
Mr Jones is organising mini buses for a Year 6 school trip. Each minibus seats 12 people
120 Year 6 pupils are going on a school trip.
There needs to be one adult for every 10 pupils
How many coaches will Mr Jones need to book?
Answer (2 marks): 12 mini buses
125 pupils will need 13 adults = 138 in total
Division question 3
A factory is packaging eggs in boxes of 12.
The factory has 878 eggs to box-up.
How many boxes will they have, to send to the supermarket?
Answer (2 marks): 73 boxes
Decimals, percentage word problems and fraction word problems can be stand alone, or they can involve converting between. For example, in questions using measures.
Fractions, decimals and percentages question 1
By the end of the Autumn term, Chloe had used ⅔ of her maths book. If the book had 96 pages, how many pages had she used?
Answer (1 mark): 64 pages
⅓ of 96 = 32
⅔ of 96 = 64
Fractions, decimals and percentages question 2
Abdullah received £600 for his birthday. He spent 45% of him money on a VR headset. How much did the headset cost him?
Answer (1 mark): £270
Fractions, decimals and percentages question 3
Mrs Jones went to the local supermarket to buy some vegetables.
She bought:
- 1 3/10kg of potatoes
- 840.5g of apples
- 4/5kg of peaches
- 520.6g of grapes
What was the total weight of the shopping Mrs Jones bought?
Answer (1 mark):
- 1.3kg potatoes
- 0.8405kg apples
- 0.8kg peaches
- 0.520kg grapes
Ratio word problems are often linked with measures. Children should be encouraged to draw bar models to solve problems involving ratio, as these question really benefit from a visual representation.
Ratio question 1
Sam and Zeyn were making drinks for the school fair. To make the jugs of squash, they were mixing 300ml of orange squash with 1500ml of water.
If they have 900ml of orange squash
- How much water will they need altogether?
- What will be the total volume of the squash?
Answer (2 marks):
- 4500ml of water
- 5400ml of squash
Ratio question 2
A piece of ribbon is 72cm long. It is cut into pieces in the ratio of 2:3:4.
How long is each piece of ribbon?
Answer (1 mark): 16cm:24cm:32cm
Mixed operation word problems require two or more operations to solve. Alongside the four operations, they can also include other topics, including fractions and percentages These can be two-step or multi-step questions and are worth 2 or 3 marks in SATs papers.
Third Space Learning’s online one-to-one tutoring programmes include questions that combine skills students have learnt and test their understanding across a range of topics. Personalised to the needs of each individual student, our online tutoring programme works to identify gaps in learning, fill those gaps and reinforce students’ maths knowledge.
Mixed four operations question 1
One bank-holiday weekend, a total of 346,728 people visited a theme park.
134,235 visited on Saturday
121,689 visited on Sunday.
How many visited on bank holiday Monday?
Answer (2 marks): 90,804
Mixed four operations question 2
A pair of jeans in a shop cost £28.
In the sale, they were reduced in price by 25%.
What was the reduced price?
Answer (2 marks): £21
Mixed four operations question 3
Sophie thinks of a number.
She multiplies her number by 6.
Then she adds 10
Finally she divides by 4.
Her answer is 13.
What was her original number?
Answer (1 mark): 7
Third Space Learning also offers a wide array of maths and word problems resources for other year groups such as word problems for Year 5 , word problems for Year 4 and word problems for Year 3
DO YOU HAVE STUDENTS WHO NEED MORE SUPPORT IN MATHS?
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Year 6 End of Year Maths Assessment
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When children complete a Year 6 end-of-year maths test, their scores are standardised nationally against other children taking the same end of Year 6 test. By using live data for standardising, you can be confident the attainment levels your children receive are highly reliable.
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The Year 6 end-of-year maths tests on Maths.co.uk are suitable for schools using any of the most popular maths schemes of work, including White Rose 3.0, Maths No Problem, the NFER Prioritisation Scheme and others.
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There are three tests for children to complete at the end of Year 6 – one arithmetic test and two reasoning tests. The tests are completed online and take around 30 minutes each.
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When children finish a Year 6 end-of-year maths assessment, the questions are instantly marked and a raw score is calculated – a big time saver for teachers! Children also receive a standardised score and an attainment level too.
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Clear reporting allows teachers to quickly see the % of children who are on track at the end of the academic year – Expected Standard or Higher Standard. Reporting for headteachers provides whole school insights and compares the school's data to the national average. Trust insights are also available for MATs.
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These activities are part of our Primary collections , which are problems grouped by topic.
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That's right, there will be a total of 35 year 6 maths questions for us to practise. Without realising it, you just solved one of our first year 6 word problems. Excellent work! Together we will review year 6 maths problems with decimals, fractions, order of operations, and rounding. We will even consider hard maths problems, like multiplying ...
35 SATs maths questions for KS2 year 6 SATs. For the KS2 SATs tests, there are 7 types of maths reasoning question that are likely to come up: ... For advice on how to teach children to solve problems like this, check out these maths problem solving strategies. SATs Maths Question Type 1: Single step worded problems ...
Year 6 Number Worksheets. Here you will find a range of Free Printable Year 6 Number Worksheets. Using these Year 6 maths worksheets will help your child to: use place value with numbers up to 10 million; use place value with up to 3 decimal places; understand how to use exponents (powers) of a number; understand and use parentheses (brackets);
pdf, 343.95 KB. Different activity sheets that give children questions that look at their fluency, reasoning or problem solving skills for that area of Maths with the answers included. Example questions from the sample reasoning papers and 2016 reasoning papers are also being included for mini practise. More topics will continue to be included.
Year 6 Fluency, Reasoning and Problem Solving Skills Practice Year 6 Maths Worksheets for improving mental maths, arithmetic and fluency: Fluent in Five. We recommend every primary school child starts their day with Fluent in Five. It's 5-10 minutes of daily arithmetic questions; in Year 6 children have to answer up to 7 quick mental ...
These maths problems year 6 Cards are a fun activity and require children to use a variety of different calculations to solve each one. Maths problems also help develop children's reasoning skills, as they have to think logically and identify the important information within a problem in order to solve it.
These maths problems year 6 Cards are a fun activity and require children to use a variety of different calculations to solve each one. Maths problems also help develop children's reasoning skills, as they have to think logically and identify the important information within a problem in order to solve it.
68 Hanbury Street, London E1 5JL [email protected] 0203 771 0095 Contact us Press enquiries. Use these 100 SATs style questions to help your pupils feel confident when answering reasoning and problem solving questions.
Year 6 Algebra Maths Knowledge Organiser. 5.0 (18 reviews) Year 6 Diving into Mastery: Step 6 Compare and Order Any Integers Teaching Pack. 4.5 (6 reviews) Year 6 Diving into Mastery: Step 8 Negative Numbers Teaching Pack. 4.7 (10 reviews) Year 6 Diving Into Mastery: Step 2 Numbers to 10 000 000 Teaching Pack.
Full Week. ANS. Welcome to the Year 6 Mini-Maths homepage. Daily maths questions for Year 6 are available for every week of the year, providing free help for teachers, pupils and parents. 1000s of free tasks and activities are available to support children in their learning both in the classroom and at home. Use the search and filter box below ...
These open-ended Year 6 maths investigations are a really fun and creative way to get children learning and engaging with different problems from a mathematical perspective. These activities will not only expand children's maths knowledge, but they will also help them improve their problem-solving skills and logical thinking.
Year: 6. Download. Preview File. Available on the Plus Plan. A set of 20 problem-solving questions suited to year 6 students. This set of problem-solving questions has been designed to support teachers when teaching students about problem-solving in mathematics. It provides students with the opportunity to work through 20 maths word problems ...
These maths problems year 6 Cards are a fun activity and require children to use a variety of different calculations to solve each one. Maths problems also help develop children's reasoning skills, as they have to think logically and identify the important information within a problem in order to solve it.
Test Your Class with These Maths Word Problems for Year 6. Challenge your key stage 2 children to choose the correct operations and solve these real-life puzzles with these problem-solving year 6 maths worksheets. Complete with eight tricky multistep word problems, this teacher-made worksheet is a quick and easy way of reinforcing your teaching ...
On this page you will find all the past papers and solutions for the maths SATs papers that students in the UK sit in Year 6 (age 10 and 11). I hope they are useful to anyone revising for or teaching this exam. Even if you are not a primary school teacher/student, these are incredibly useful for those in secondary education.
Find a possible solution for the following equation: 3x + 2y = 253x+2y = 25. Answer: x = 6, y = 3x = 6, y = 3 (other possible solutions can be given) Question 17: pairs of numbers for two unknown values. Find a possible solution for this equation: 6a + 10 = 4b6a+10 = 4b.
Twinkl Australia 5 - 6 Australian Curriculum Resources Mathematics Number Place Value Problem Solving. Use this set of 5 challenge cards to reinforce your teaching on year 6 calculation maths mastery and test your students' knowledge. Great as an opening or finishing activity.
Use this set of 5 challenge cards to reinforce your teaching on year 6 calculation maths mastery and test your students' knowledge. ... Full Collection KS3 Location Studies KS3 Geography in the News KS3 Cover Work GCSE Exam Questions and Revision GCSE ... year 6 problem solving year 6 maths word problems year 6 word problems maths year 6 maths ...
By Nick Barwick - 7 Aug 2018. Hamilton provide an extensive suite of problem-solving maths investigations for Year 6 to facilitate mathematical confidence, investigative inquiry and the development of maths meta skills in 'low floor - high ceiling' activities for all. Explore all our in-depth problem solving investigations for Year 6.
Key to this success is regular exposure to the style and type of questions, covering the topics children could be presented with. Our collection of year 6 maths worksheets are is a great place to start. To help child practice their problem solving skills, we have put together a collection of 20 word problems, organised by topic.
Aligned with White Rose. The Year 6 end-of-year maths tests on Maths.co.uk are suitable for schools using any of the most popular maths schemes of work, including White Rose 3.0, Maths No Problem, the NFER Prioritisation Scheme and others.
The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice.
The year 6 SATs mathematical reasoning papers test children's ability to be able to use and apply the maths they have learnt. This includes problem-solving: children often need to work out a way of solving a problem or to explain their method. The reasoning papers cover a wide range of maths, including shape and statistics.