year 4 problem solving questions

30 Year 4 maths questions

In Year 4, students are introduced to important maths concepts that become the building blocks for future mathematical learning. Let’s practise those concepts with this list of Year 4 maths questions.

headshot of author, Katie Wickliff

Author Katie Wickliff

year 4 problem solving questions

Published February 2024

year 4 problem solving questions

30 year 4 math questions

In year 4, students are introduced to important maths concepts that become the building blocks for future mathematical learning. Let’s practise those concepts with this list of year 4 maths questions.

Katie Wickliff headshot

30 year 4 maths questions

  • Key takeaways
  • In Year 4 maths, students develop a deeper understanding of multiplication and division, fractions, and measurements.
  • Year 4 word problems require more advanced comprehension skills.
  • Place Value: Understanding place value helps us read and write numbers correctly and compare their values.
  • Look for opportunities for your child to practise their maths at home–worksheets, maths games , or a maths practice app will help strengthen new mathematical knowledge. While consistency is key, maths practice for Year 4 should be engaging and fun.

Table of contents

  • Subtraction
  • Multiplication
  • Multi-step word problems

Answer sheet

In addition to reviewing and strengthening the skills learned in previous years, year 4 maths students learn multiplication and division, explore fractions, calculate measurements, and more. 

Also, word problems at this level are often multi-step, requiring students to understand what operations to perform and how to perform them correctly. 

This list of year 4 maths questions is intended to reinforce concepts students have already been taught. The list is divided into sections: addition, subtraction, multiplication, division, fractions, measurement, and multi-step problems. 

These sections allow students to specifically focus their practice, but feel free to skip around and choose the maths practice problems that best suit your child’s needs. 

Get 2 FREE weeks of Doodle!

Use code 2WKS_AUTUMN  to kick-start school with unlimited questions and games

Unlock unlimited maths questions

Put your learning into practice with fun exercises + games that are proven to boost ability!

30 maths questions for Year 4

Section 1: addition.

year 4 problem solving questions

At the school carnival, Hattie won 25 tickets at ring toss and 40 tickets at balloon darts. How many tickets did she win altogether?

year 4 problem solving questions

There are 15 baby chicks at the barn. 12 more chicks are born. How many baby chicks are at the barn now?

year 4 problem solving questions

How can you represent the number line with an equation?

year 4 problem solving questions

Using the number line, solve 7+ _ = 22

year 4 problem solving questions

Amir practises basketball three days a week. On Tuesday, he practises basketball for 60 minutes. On Wednesday, he practises for 37 minutes. On Thursday, he practises for 15 minutes. Which expression shows how to find the total number of minutes Amir practised? Circle the correct answer

year 4 problem solving questions

Use code 2WKS_AUTUMN to get 2 FREE weeks of Doodle!

year 4 problem solving questions

Section 2: Subtraction

Using the number line, solve 17-6=

year 4 problem solving questions

There are 224 Lions fans and 212 Tigers fans at the football game. How many more Lions fans than Tigers fans are at the game?

An animal shelter has 27 kittens available for adoption. On Friday, 8 kittens are adopted. How many kittens are left at the shelter?

Gemma has 130 beads for bracelets. She gives 75 beads to Piper and 6 beads to Claire. Which expression shows how to find the total number of beads Gemma has left? Circle the correct answer.

Using the number line, solve 30- _ = 14

year 4 problem solving questions

Section 3: Multiplication

year 4 problem solving questions

Using the picture below, write a multiplication equation to find the number of shapes

year 4 problem solving questions

Francis and Jane are playing a card game. Francis has 7 cards. Jane has 3 times as many cards as Francis. How many cards does Jane have?

year 4 problem solving questions

Using the number line to show hops, complete the multiplication sentence

year 4 problem solving questions

Solve the equation

year 4 problem solving questions

Mariela has 8 pages of maths homework. There are 4 questions on each page. How many total problems does Mariela have for maths homework?

Section 4: Division

Connor has 80 crayons that he will put into crayon boxes. Each crayon box can hold 8 crayons. How many crayon boxes does he need?

Using the number line to show hops, complete the division sentence

year 4 problem solving questions

Natalie divided 12 marbles into equal groups of 3. Draw a representation to show equal grouping.

Craig’s mom brought 12 cookies to the soccer game. She shared them equally among Craig and 3 teammates. Which expression will solve the problem correctly? Circle the answer.

Section 5: Fractions

Using the number line, work out what A, B and C represent.

year 4 problem solving questions

Plot ¼ on this number line:

year 4 problem solving questions

A cheese pizza has 8 slices. Marco ate 2 of the slices. His dad at the rest.  What fraction of the pizza did Marco eat? What fraction of the pizza did his dad eat?

There are 15 flowers in a garden. 10 flowers are yellow and the rest are red. What is the fraction of red flowers in the garden?

Using the number line, find the value of K and L. Which is bigger?

year 4 problem solving questions

Section 6: Multi-step word problems

Sarah has two £10 notes. Her sister has one £5 note. They combine their money to buy a game that costs £22 pounds. How much change will they receive?

Dad baked 36 cookies for the bake sale. Jonas baked 24 cookies for the bake sale. His brother ate 5 cookies before the bake sale started. How many cookies do they have left to sell?

The school bus seats 75 students in all. On Friday, the school bus was full. At the first stop, 7 students got off. At the second stop, 15 students got off. How many children were left on the bus?

George has 25 water balloons. He wants to divide the water balloons equally between himself and 2 friends. How many water balloons will each get? Will there be any water balloons left over?

On Monday, Julia walked 5 kilometres. On Tuesday, she walked 3 kilometres. On Wednesday, she walked 7 kilometres. A marathon is 42 kilometres. How many more kilometres would Julia have to walk to have walked a full marathon?

Addition answers

25+40= 65. Hattie won 65 tickets

15+12= 27. 27 baby chicks are at the barn

7+ 15= 22. This should be represented by 15 “hops” on the number line

Subtraction answers

17-6=11. This should be represented by 11 “hops” on the number line

224-212= 12. There are 12 more Lions fans than Tiger fans

27-8= 19. There are 19 kittens left at the shelter.

Multiplication answers

2×3=6; 3×2=6

7×3=21. Jane has 21 cards.

year 4 problem solving questions

8×4= 32

Division answers

year 4 problem solving questions

40÷8= 5. It will take Max 5 days to pay Bennett.

Drawing should show 3 groups of 4 marbles each.

Fractions answers

The ¼ should be plotted on the point between 0 and ½

Marco ate 2/8 (or ¼) of the pizza. His dad ate 6/8 (or ¾) of the pizza

5/15 (or ⅓)

K= ⅜, L= 6/8 (or ¾). L is larger.

Multi-step word answer answers

£10+£10= £20. 

£20+£5=£25.

£25-£22= £3

 Sarah and her sister will receive £3 in change

They have 55 cookies left to sell

53 students are left on the bus

George and his friends each get 6 water balloons, with one left over.

5 + 3 + 7 = 15

42 – 15 = 27

Julia must walked 27 more kilometres.

Parents, sign up for a DoodleMaths subscription and see your child become a maths wizard!

Lesson credits

year 4 problem solving questions

Katie Wickliff

Katie holds a master’s degree in Education from the University of Colorado and a bachelor’s degree in both Journalism and English from The University of Iowa. She has over 15 years of education experience as a K-12 classroom teacher and Orton-Gillingham certified tutor. Most importantly, Katie is the mother of two elementary students, ages 8 and 11. She is passionate about math education and firmly believes that the right tools and support will help every student reach their full potential.

What we offer

Quick links

All rights reserved. 

Available at Amazon appstore

Book a chat with our team

year 4 problem solving questions

I’m new to Doodle

year 4 problem solving questions

My school is already using Doodle

year 4 problem solving questions

Are you a parent, teacher or student?

Parent Icon

Get started for free!

Parent Icon

Maths information pack

We ask for your contact info so we can send our info pack directly to your inbox for your convenience, exam prep information pack, case studies information pack, information pack, we ask for your contact info so that our education consultants can get in touch with you and let you know a bit more about doodle., student login, which programme would you like to use.

DoodleMaths-AppIcon

DoodleMaths

DoodleTables

DoodleEnglish

DoodleSpell

If you’d like to use Doodle’s browser version, please visit this page on a desktop.

To log in to Doodle on this device, you can do so through our apps. You can find out how to download them here: