Year 5 maths questions

This comprehensive review of maths questions for year 5 is just the boost your child needs to succeed in maths this year.

Author
Amber Watkins

Published
February 2024

Year 5 maths questions

This comprehensive review of maths questions for year 5 is just the boost your child needs to succeed in maths this year.

Author
Amber Watkins

Published
February 2024

Year 5 maths questions

This comprehensive review of maths questions for year 5 is just the boost your child needs to succeed in maths this year.

Author
Amber Watkins

Published
February 2024

Key takeaways

In year 5 maths, it is important to master multi-digit multiplication, fractions, and decimals.
A variety of maths questions for year 5 students can be solved using a number line.
To supplement your child’s year 5 maths skills, consider using our maths app.

Table of contents

26 maths word problems for year 5

Year 5 maths has a strong focus on multiplication, division, and fractions. As we cover a variety of year 5 maths questions together, pay attention to the methods we use, including breaking down fractions and using number lines to solve real-world word problems.

Multiplication

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1. Sam bought 12 packages of water bottles for his football team’s practice. Each package has a dozen water bottles. How many total water bottles did Sam purchase?

Answer: Sam bought 144 bottles of water. There are 12 bottles in a dozen. 12 x 12 = 144.

2. Mr. Rodger bought 100 packs of juice boxes for the school dance. The juice boxes come in packs of 16. How many juice boxes did Mr. Rodger buy in all?

Answer: Mr. Rodger bought 1,600 juice boxes. 100 x 16 = 1,600.

3. The teacher bought 6 boxes of red binders and 10 boxes of green binders. Each box has 5 binders. How many binders in all did they buy?

Answer: They bought 80 total binders. 6 x 5 = 30. 10 x 5 =50. 50 + 30 = 80.

4. Crystal saved 35 ten pence coins in her piggy bank. How much money (in pence) has she saved in all?

Answer: Crystal has saved a total of 350 pence. 35 x 10 =350.

5. Jason gets 30 new Pokemon cards each month. How many new Pokemon cards will he have after two years?

Answer: Jason will have 720 new Pokemon cards after two years. There are 12 months in every year, so in two years there are 24 months (12 x 2 = 24). 24 x 30 =720.

Division

1. A boxcar has 360 boxes on it. Two hours later the boxcar has 720 boxes on it. If the number of boxes increases at the same rate, how many boxes are added each hour?

Answer: Jack should plant 14 seeds in each row. 98 / 7 = 14.

2. Kim’s dog Polly needs to drink 480 millilitres of water each day. If his water bowl can hold a maximum of 60 millilitres, how many times a day should Kim fill Polly’s dog bowl with water?

Answer: Kim should fill Polly’s dog bowl 8 times a day. 480 / 60 = 8

3. A sunflower grows 20 centimetres every week until it is fully grown. If we find a sunflower that is 2 metres tall, how many weeks has it been growing?

Answer: The sunflower has been growing for 10 weeks. There are 100 centimetres in a metre, so there are 200 centimetres in two metres (100 x 2 =200). 200 centimetres divided by 20 is equal to 10.

4. Cait wants to save £500 to attend summer swimming classes. Her parents pay her £10 every time she walks her dog. How many times will Cait have to walk her dog to earn enough money to pay for swimming classes?

Answer: Cait will have to walk her dog 50 times to save £500. 500 / 10 = 50

5. Jack wants to grow vegetables in her mom’s garden. His mom gives him 7 rows to plant 98 seeds. If Jack wants to space them out evenly, how many seeds should he plant in each row?

Answer: Jason will have 720 new baseball cards after two years. There are 12 months in every year, so in two years there are 24 months (12 x 2 = 24). 24 x 30 =720.

Fractions

1. The guests ate 6⁄8 of Carol’s apple pie. Show two ways the pie could have been eaten. Hint: Break down the fraction 6⁄8 into smaller fractions.

Answer: ⅛ + ⅛ + ⅛ + ⅛ + ⅛ + ⅛ + ⅛ + ⅛ = 6⁄8, so 8 people could have eaten ⅛ of a pie each or ⅜ + ⅜ = 6⁄8, so 2 people could have eaten ⅜ of the pie each.

2. Casey painted 5⁄9 of the fence today. Show two ways the parts of the fence could have been painted. Hint: Break down the fraction 5⁄9 into smaller fractions.

Answer: 1⁄9 + 1⁄9 + 1⁄9 + 1⁄9 + 1⁄9 = 5⁄9

3. Jessie ran ½ of a mile. Victor ran 3⁄6 of a mile. Use two number lines to determine whether they ran the same distance.

Answer: Yes, they ran the same distance.

4. Sophia finished one out of four problems she has for homework. Jason completed three out of the twelve problems he has for homework. Use two number lines to determine whether they have completed the same amount of homework so far.

Answer: Yes they completed the same portion of their homework.

Rounding

1. Use a number line to round 865 to the nearest hundreds place.

Answer: 900

2. Use a number line to round 6,403 to the nearest thousands place.

Answer: 6,000

3. Use a number line to round 362 to the nearest tens place.

Answer: 360

4. Use a number line to round 467 to the nearest hundreds place.

Answer: 500

5. Use a number line to round 2,300 to the nearest thousands place.

Answer: 2,000

Decimals

1. The grass in Jake’s yard grows on average .1 millimetres each day. How much will Jake’s grass grow after one week? Use a number line to solve.

Answer: Jake’s grass will grow .7 millimetres in one week. .1 x 7 = .7

2. Jason collects 5 pence coins he finds on the road. After finding 12 five pence coins how much money does he have? Use the number line below to solve.

Answer: Jason has a total of 60 pence (.60). 0.05 x 12 is .60.

3. Reese purchased three movie tickets for £4.50 each and two bags of popcorn for £3.00 each. How much money does she spend in all at the movie theater?

Answer: Reese spent a total of £19.50 at the movie theater.

£4.50 x 3 = £13.50. £3.00 x 2 = £6.00. £13.50 + £6.00 = £19.50

4. Steve went grocery shopping on Saturday with a spending limit of £50. He purchased fruits and vegetables for £11. He purchased meat for £12.50 and a variety of snacks for £20. How much money does he have left over in his budget?

Answer: Steve has £6.50 left over in his budget.
£11.00 + £12.50 + £20.00 = £43.50. £50.00 – £43.50 = £6.50

5. Ethan wants to save his paychecks for a month to put his first deposit into his savings account. He is not able to put in a deposit of less than £200. If he puts in his first four paychecks of £52.12, £69.40, £42.80, and £35.75 will he have enough for a £200 deposit?

Answer: Yes, he will have enough money for a £200 deposit. £52.12, £69.40, £42.80, and £35.75 added together equal £200.07.

Our maths help app provides maths help for year 5 students in a way that keeps children engaged, rewards their effort, and scaffolds their learning. Plus, the app gives parents access to a dashboard that shows their child’s progress on maths topics they struggle with. Take learning into your own hands, and check out our maths app today!

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Year 5 maths questions

Year 5 maths questions

Year 5 maths questions