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"Greater than" and "Less than"

This grade 1 math worksheet is on comparing numbers up to 30. Students are given pairs of numbers and indicate whether the first number is "greater than", "less than" or "equal to" the second number.

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More numbers worksheets

Explore all of our learning numbers worksheets (recognizing and printing numbers), counting worksheets (counting objects, skip counting, counting backwards) and comparing numbers worksheets ("more than", "less than", ordering numbers).

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Year 1 Maths Compare Numbers Lesson - Autumn Block 4 - by Classroom Secrets

Subject: Mathematics

Age range: 5-7

Resource type: Lesson (complete)

Last updated

7 June 2023

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This Year 1 Compare Numbers lesson covers the prior learning of comparing numbers within 10, before moving onto the main skill of comparing numbers to 20.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

This pack includes:

Main Activity Worksheet Discussion Problems Homework Extension PowerPoint Lesson Slides Reasoning and Problem Solving Varied Fluency Practical Activities Prior Learning Supporting Activities

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Comparing Numbers Worksheet up to 10

Welcome to our Comparing Numbers Worksheet collection up to 10.

Here you will find a selection of sheets which will help your child learn to compare numbers and amounts up to 10.

The sheets explore Most and Least as well as Greater Than and Less Than.

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Common Core

Compare Numbers

• Identigy whether the number or objects in one group is greater than, less than or equal to the number of objects in another group.
• Compare two numbers between 1 and 10.

Comparing Numbers Worksheets

At a kindergarten age, children are learning to count and starting to order the world around them.

They are beginning to be able to put things into categories and compare one thing to another.

The following worksheets involve comparing numbers and amounts of things.

The numbers of objects are no more than 10.

Using these sheets will help your child to:

• understand the concept of most and least;
• understand the concept of greater than, less than or equal to;
• compare numbers and amounts up to 10;
• practice counting up to 10 objects;

Prior Learning

Your child needs to be able to count objects to 10 before they can compare two different amounts.

Which is Most? Worksheets

The comparing numbers worksheets in this section involve circling or shading the number which is most.

• Which has Most? Sheet 1
• PDF version
• Which has Most? Sheet 2
• Which has Most? Sheet 3

Which is Least? Worksheets

The sheets in this section involve circling or shading the number which is the least.

• Which has Least? Sheet 1
• Which has Least? Sheet 2
• Which has Least? Sheet 3

Greater Less and Equal Worksheets - More Challenging

In the comparing numbers worksheets, children have to make their choice from two numbers or amounts whether the first amount is greater than, less than or equal to the second amount.

These sheets are more advanced than the other ones on this page.

The first 5 worksheets are all about comparing amounts.

The last 3 worksheets are all about comparing numbers up to 10.

• Greater, Less and Equal Sheet 1
• Greater, Less and Equal Sheet 2
• Greater, Less and Equal Sheet 3
• Greater, Less and Equal Sheet 4
• Greater, Less and Equal Sheet 5
• Greater, Less and Equal Sheet 6
• Greater, Less and Equal Sheet 7
• Greater, Less and Equal Sheet 8

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

More Kindergarten Comparing Worksheets

Here is our selection of kindergarten comparing worksheets.

These worksheets will help your child to compare and start to order different things.

• understand the concept of most, least, biggest, smallest;
• count up to 10 objects;
• compare numbers up to 10.
• Comparing Size and Numbers up to 6

More Advanced Comparing Numbers

We also have more advanced comparing numbers worksheets.

The sheets involve comparing and ordering sequences of numbers from 10 up to 1 million.

We also have comparing negative numbers worksheets and also decimals worksheets with 1 or 2 decimal places.

• Comparing Numbers Hub page

Kindergarten Sequencing Worksheets

Here you will find our selection of kindergarten sequencing worksheets.

These sheets will help your child learn to count on and back in ones, and put numbers up to 25 in the correct place in their sequence.

Useing these sheets will help you child to:

• recognise number, letter and picture patterns;
• count on and back in ones to 25;
• sequence numbers to 25.

All the sheets in this section will support your child with their counting and sequencing skills.

• Patterns and Sequences
• Kindergarten Counting Worksheets - Sequences to 15
• Kindergarten Counting Worksheets -Sequencing to 25
• Kindergarten Counting Games

Here you will find a range of free printable Kindergarten Math games.

All children like to play Math games, and you will find a range of Kindergarten Math Games here for your child to play and enjoy.

The following games involve practicing different Kindergarten Math skills which you and your child can enjoy together.

All the free Math sheets in this section are informed by the Elementary Math Benchmarks for Kindergarten.

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• Early Years
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Understanding that comparing numbers involves knowing which numbers are worth more or less than each other

Comparing numbers involves knowing which numbers are worth more or less than each other. This depends both on understanding cardinal values of numbers and also knowing that the later counting numbers are worth more (because the next number is always one more). This understanding underpins the mental number line which children will develop later, which represents the relative value of numbers, i.e. how much bigger or smaller they are than each other.

Typical progression of key ideas in this concept

More than/less than.

Children need progressive experiences where they can compare collections and begin to talk about which group has more things. Initially, the groups need to be very obviously different, with one group having a widely different number of things. Collections should also offer challenges, such as including more small things and fewer large things, to draw attention to the numerosity of the comparison, i.e. the number of things, not the size of them.

Activities and opportunities:

• collections for children to sort and compare, which include objects which are identical, and which include objects of different kinds or sizes
• collections with a large number of things, and collections with a small number of things.

Identifying groups with the same number of things

Children need the opportunity to see that groups could consist of equal numbers of things. Children can check that groups are equal, by matching objects on a one-to-one basis.

• ensuring that when providing groups to compare, there are some that have an equal amount
• asking children to convert two unequal groups into two that have the same number, e.g. ‘There are 6 apples in one bag and 2 in another bag; can we make the bags equal for the two hungry horses?’

Comparing numbers and reasoning

Children need opportunities to apply their understanding by comparing actual numbers and explaining which is more. For example, a child is shown two boxes and told one has 5 sweets in and the other has 3 sweets in. Which box would they pick to keep and why? Look for the reasoning in the response they give, i.e. ‘I would pick the 5 box because 5 is more than 3 and I want more.’ If shown two numerals, children can say which is larger by counting or matching one-to-one.

Children can compare numbers that are far apart, near to and next to each other. For example, 8 is a lot bigger than 2 but 3 is only a little bit bigger than 2.

• explain unfair sharing - 'This one has more because it has 5 and that one only has 3'
• compare numbers that are far apart, near to, and next to each other.

Knowing the ‘one more than/one less than’ relationship between counting numbers

Children need opportunities to see and begin to generalise the ‘one more than/one less than’ relationship between sequential numbers. They can apply this understanding by recognising when the quantity does not match the number, i.e. if a pack is labelled as 5 but contains only 4, the children can identify that this is not right. Support children in recognising that if they add one, they will get the next number, or if one is taken away, they will have the previous number. For example: ‘There are 4 frogs on the log, 1 frog jumps off. How many will be left? How do you know?'

Activities and opportunities

• labelling groups with the correct numeral. Do children spot the error if a group is mislabelled? For example, 'The label on the pot says 4 and we have 5 – what do we need to do?’ A child may say, ‘We need to take one out because we have one too many.’
• ensuring children focus on the numerosity of the group by having items in the collection of different kinds and sizes
• making predictions about what the outcome will be in stories, rhymes and songs if one is added to, or if one is taken away.

Common errors in this area may include

• children not comparing the numerosity of the group and considering more in terms of size
• children giving a response that does not match the context when estimating a number; e.g. when adding, giving as an answer a number that is smaller than the numbers given. Example: ‘There are 7 cars in a garage and then 2 more go in.’ The child guesses there are 4 cars in total inside.

What to look for

Can a child:

• state which group of objects has more? Can they do this with a large or small visual difference?
• compare two numbers and say which is the larger?
• predict how many there will be if you add or take away one?

Download the Progression Chart for this concept

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Compare Number Sentences Lesson

This Year 1 Compare Number Sentences lesson covers the prior learning of comparing statements within 10, before moving onto the main skill of comparing number sentences within 20.

The lesson starts with a prior learning worksheet to check pupils’ understanding. The interactive lesson slides recap the prior learning before moving on to the main skill. Children can then practise further by completing the activities and can extend their learning by completing an engaging extension task.

National Curriculum Objectives Mathematics Year 1: (1C2b)  Read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs Mathematics Year 1: (1C1)  Represent and use number bonds and related subtraction facts within 20 Mathematics Year 1: (1C2a)  Add and subtract one-digit and two-digit numbers to 20, including zero Mathematics Year 1: (1C4)  Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7=_________ 9

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Lesson Slides

These lesson slides guides pupils through the prior learning of place value of 1s, 10s and 100s, before moving onto the main skill of compare number sentences. There are a number of questions to check pupils' understanding throughout.

Modelling PowerPoint

This powerpoint can be used to model the questions that the children will complete on the Varied Fluency and Reasoning & Problem Solving worksheets as part of this lesson.

These are the same as the lesson slides on Classroom Secrets. You can assign this as an activity for pupils to access individually in school or remotely from home.

Video Tutorial

In this Compare Number Sentences Video Tutorial, Katie shows how to use the greater than, less than and equal to symbols to compare number sentences.

1 Prior Learning

Interactive Activity

This Year 1 Compare Statements 2 Game checks pupils' understanding of using inequality symbols to compare calculations.

2 Practical Activities

Supporting Activity

This Compare Number Sentences supporting activities sheet contains suggestions for additional tasks you might wish to use to support pupils' understanding of the concepts taught in the lesson.

Practical Activities

These practical activities include tasks covering a range of provision areas for pupils to practise the main skill of compare number sentences.

2 Varied Fluency

Mixed Practice

This worksheet includes varied fluency questions for pupils to practise the main skill of compare number sentences.

This differentiated worksheet includes varied fluency questions for pupils to practise the main skill of this lesson.

This Year 1 Addition and Subtraction game aims to support pupils' understanding of using language and symbols to compare calculations within 20.

2 Reasoning & Problem Solving

This compare number sentences extension task includes a challenge activity which can be used to further pupils' understanding of the concepts taught in the compare number sentences lesson.

This differentiated worksheet includes reasoning and problem solving questions to support the teaching of this step.

Discussion Problem

This worksheet includes two discussion problems which can be used in pairs or small groups to further pupils' understanding of the concepts taught in this lesson.

This Year 1 Compare Number Sentences Maths Challenge checks pupils’ understanding of comparing number sentences to 20.

This differentiated worksheet includes varied fluency and reasoning and problem solving questions to support the teaching of this step.

2 Additional Activities

Consolidation of Step 7-8 Year 1 Addition and Subtraction Learning Video Clip

It’s the day of the joust and Kev, our trainee knight, is busy helping to ensure everything runs smoothly.

Consolidation Pack

This Addition and Subtraction Consolidation Year 1 resource will help your pupils consolidate their understanding of Spring Block 1: Addition and Subtraction.

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This Spring week 4 Maths pack contains varied fluency, reasoning and problem solving worksheets

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• March Madness Bracketology: A statistician’s guide for beating 1-in-147 quintillion odds of the perfect bracket

Fowler College of Business lecturer Chris O’Byrne, a college sports fanatic and former options trader on Wall Street, breaks down some of the math behind bracketology, and offers some tips for winning your bracket pool.

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College basketball fans watch their favorite teams all season with the hope that come March, their squad will earn a berth in the NCAA Tournament.

Fans without a qualifying team, and plenty of others who don’t even follow the sport, might still become consumed by March Madness because of bragging rights at stake. Every year the tournament brings friends, families and colleagues together to compete in bracket pools, or challenges to see who can pick the most winners in a slate of 67 games.

Most know that picking a perfect bracket is next to impossible. Companies have long offered millions in sweepstakes cash to anyone who can accomplish the feat, but few know the simple math equation that explains why it’s so difficult.

San Diego State University NewsCenter asked Fowler College of Business lecturer Chris O’Byrne , a college sports fanatic and former options trader on Wall Street, to walk through that equation. O’Byrne offered a few tips that might help you beat the odds, and took a look at a few factors that could help or hurt the Aztecs’ chances of playing in the title game in back-to-back seasons.

Why is it so hard to pick a perfect bracket? The chances of picking a perfect bracket is: 1 in 2 to the 67th power, or 1 in 147,573,952,589,676,412,928, or about 147 quintillion. This assumes that each participant has a 50/50 chance of winning. Since the tournament is seeded, this changes the odds a little bit in the bracket filler’s favor, but the fact remains that is how many different or unique brackets can be created from 68 teams.

How improbable was it to see 16th-ranked Fairleigh Dickinson beat no. 1 Purdue last March?

It was very improbable. In the first 139 match ups between the 1 and 16 seeds, the 1 seed won. So the 16 seed was 0-139. Granted, there have been some very close, nail-biting, almost upsets, but in the end, the 1 seed always prevailed. From a strictly probabilistic standpoint - 0.714% (1 out of 140) - and that may be too high – but strictly using a relative frequency probability model – less than 1%. I do believe there are fatter tails for the 16 seed to knock off the 1 seed than indicated above due to competition and parity between teams closing.

How can success or failure in the final leg of the season impact the Aztecs’ chances of competing for the National Championship for the second year in a row?

A successful final leg of the season, including in the Mountain West conference tournament, can provide the Aztecs with momentum and confidence heading into the NCAA Tournament and helps their case for a better seed in the NCAA Tournament. Higher seeds generally have more favorable matchups in the early rounds, increasing the Aztecs’ chances of advancing deeper into the tournament.

An impressive run up to Selection Sunday could lead to increased national recognition and attention from basketball analysts. This can boost the team’s confidence and potentially influence tournament selection committees, leading to more favorable matchups and considerations.

Conversely, failure down the stretch or even key injuries, can hurt the Aztecs’ confidence and momentum and translate to poor play in the NCAA Tournament. Losses in critical games could result in a lower seed, leading to tough early-round matchup and possibly an early exit from the tournament.

Do you have any tips for winning office bracket pools? Do you recommend picking the lowest seed to win each matchup? Why or why not?

Winning an office bracket pool often requires a balance of safe picks (higher seeds) and calculated risks (lower seeds and upsets). Don’t solely pick the favorites to win each matchup. While upsets are a big part of March Madness, they are still relatively rare, especially in the early rounds. A good strategy is to mix in some lower-seeded teams for upsets, but also pick higher-seeded teams that are strong contenders.

Higher seeds are higher for a reason. They often have better overall records, stronger schedules, and more talent. It’s generally a good idea to pick higher seeds to advance in the early rounds, but also be strategic about where you pick your upsets. One common first-round upset to consider is the 12th seed defeating the 5th seed. This happens more frequently than other upsets and can be a good place to take a risk. It’s often better to take calculated risks as the tournament progresses and the stakes get higher. While upsets are exciting, being too risky too early can lead to a busted bracket quickly.

Teams that performed well in their conference tournaments often carry that momentum into March Madness. Look at how teams performed in their conference tournaments as an indicator of their current form.

What are some of the other key factors?

It could also help to analyze teams beyond their seeding. Consider factors like team styles (fast-paced vs. slow-paced), strengths and weaknesses (strong defense or poor three-point shooting), and recent performances. Some matchups favor certain teams even if they are seeded lower.

Unfortunately, injuries can significantly impact a team’s performance, especially in the tournament. Keep an eye on injury reports leading up to the games and adjust your picks accordingly.

Ultimately, March Madness is unpredictable, and even the most well-researched bracket can be busted by unexpected outcomes. Trust your instincts but also use data, statistics, and analysis to inform your picks.

Lastly, have fun. Remember, part of the enjoyment of March Madness is the unpredictability. Even if your bracket doesn’t win, the excitement of the games and the camaraderie of participating in an office pool can make it a fun experience.

• Men’s Hoops: Aztecs face UAB in NCAA first round

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March Madness expert picks: Our bracket predictions for 2024 NCAA men's tournament

Editor's note: Follow all of the men's March Madness action, scores and highlights here with USA TODAY Sports' live coverage.

The experts have dissected the men's NCAA Tournament bracket , providing sleepers, Final Four matchups and upset predictions. Your chances of filling out a perfect bracket are miniscule , but maybe you need a few tips to win your office pool. We've got you covered with a look at how to pick an upset and a look historically at how the seeds have performed in the NCAA Tournament.

Still need help? Here's a closer look at each region: East , West , South , Midwest

Three of our five USA TODAY experts have UConn as their picks to win the national title on April 8. Here are our expert picks:

WOMEN'S PICKS: Our bracket predictions for 2024 NCAA women's tournament

FOLLOW THE MADNESS: NCAA basketball bracket, scores, schedules, teams and more.

Jordan Mendoza

Full bracket

• Final Four : UConn, Arizona, Houston, Creighton
• Final : UConn vs. Houston
• National champion : UConn

Paul Myerberg

• Final Four: Iowa State, North Carolina, Houston, Creighton
• Final: Iowa State vs. Houston
• National champion: Houston

Erick Smith

• Final Four: Iowa State, Baylor, Houston, Purdue
• Final : Iowa State vs. Purdue
• National champion: Iowa State

Eddie Timanus

• Final Four : UConn, North Carolina, Houston, Purdue
• Final: UConn vs. Purdue
• National champion: UConn
• Final Four: UConn, Saint Mary's, Houston, Creighton
• Final: UConn vs. Houston