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Maths Quiz - Solving Problems (Year 4) (Questions)

Problem solving in maths means using logic to work things out. In this KS2 quiz, practise solving number puzzles, spotting patterns, and using reasoning to find answers.

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Fascinating Fact:

Sports coaches use problem solving to plan team formations, track statistics, and decide tactics for a win.

In KS2 Maths, problem solving encourages pupils to think logically, test ideas, and work systematically. It helps them connect mathematical skills to everyday life, such as sharing equally, measuring, or managing money.

Key Terms

Logic: Thinking carefully to make sense of numbers, steps, or clues in a problem.
Pattern: A sequence that follows a clear rule, such as shapes or numbers that repeat.
Strategy: A method or plan used to solve a maths problem efficiently.

Frequently Asked Questions (Click to see answers)

What is problem solving in KS2 maths?

Problem solving in KS2 maths is when you use reasoning and maths skills to work out answers to tricky questions, often involving real-life situations.

How do I improve my problem solving skills in maths?

Read questions carefully, look for patterns, draw diagrams, estimate answers, and check your work to make sure it makes sense.

Why is problem solving important in maths?

It helps you use maths in real life, think critically, and build confidence when solving unfamiliar challenges or puzzles.

Try These Related Quizzes

1.

Laura was playing a game. Her scores were 17, 25 and 32. What was her total score for all 3 games?

[ ]	54
[ ]	64
[ ]	74
[ ]	84

2.

Mum weighed 55kg. She lost 500g when she was ill. What does she weigh now?

[ ]	50kg
[ ]	50.5kg
[ ]	52.5kg
[ ]	54.5kg

3.

A baby needs to take 5ml of medicine 3 times a day. How much medicine does the baby need each day?

[ ]	10ml
[ ]	15ml
[ ]	20ml
[ ]	25ml

4.

It takes Dad 45 minutes to paint 3 fence panels. How long does it take to paint one fence panel?

[ ]	10 minutes
[ ]	15 minutes
[ ]	17 minutes
[ ]	20 minutes

5.

Amy drives 13 miles to her grandmother's and then 8 miles to the shops. How many miles has Amy driven?

[ ]	21
[ ]	22
[ ]	23
[ ]	24

6.

Two shelves measure 75cm and 83cm. What is their total length in metres?

[ ]	0.158m
[ ]	1.58m
[ ]	15.8m
[ ]	158m

7.

To bake a cake, 250g of flour is required. If a bag of flour is 1kg how much would be left after baking 3 cakes?

[ ]	250g
[ ]	500g
[ ]	600g
[ ]	750g

8.

A large glass holds 300ml and a small glass holds 250ml. A jug has 1 litre of juice. First I fill 1 large glass. How many small glasses can be filled with what is left in the jug?

[ ]	1
[ ]	2
[ ]	3
[ ]	4

9.

Ahmed got up at 7:00. It took him 35 minutes to get ready and 20 minutes to walk to school. What time did he arrive in school?

[ ]	7:30
[ ]	7:45
[ ]	7:55
[ ]	8:05

10.

There are 35 red balloons, 22 blue balloons and 7 white balloons. 27 balloons pop. How many balloons are left?

[ ]	25
[ ]	32
[ ]	35
[ ]	37

You can find more about this topic by visiting BBC Bitesize - Problem solving

Maths Quiz - Solving Problems (Year 4) (Answers)

1.

Laura was playing a game. Her scores were 17, 25 and 32. What was her total score for all 3 games?

[ ]	54
[ ]	64
[x]	74
[ ]	84

One way to do this is to add the units first (7 + 5 + 2 = 14) and then add the result to the tens (14 + 10 + 20 + 30 = 74)

2.

Mum weighed 55kg. She lost 500g when she was ill. What does she weigh now?

[ ]	50kg
[ ]	50.5kg
[ ]	52.5kg
[x]	54.5kg

Remember there are 1,000g in 1kg so 500g is equivalent to half a kg or 0.5kg

3.

A baby needs to take 5ml of medicine 3 times a day. How much medicine does the baby need each day?

[ ]	10ml
[x]	15ml
[ ]	20ml
[ ]	25ml

5 x 3 = 15 so three lots of 5ml are 15ml

4.

It takes Dad 45 minutes to paint 3 fence panels. How long does it take to paint one fence panel?

[ ]	10 minutes
[x]	15 minutes
[ ]	17 minutes
[ ]	20 minutes

To work this one out you have to divide 45 by 3

5.

Amy drives 13 miles to her grandmother's and then 8 miles to the shops. How many miles has Amy driven?

[x]	21
[ ]	22
[ ]	23
[ ]	24

13 + 8 = 21

6.

Two shelves measure 75cm and 83cm. What is their total length in metres?

[ ]	0.158m
[x]	1.58m
[ ]	15.8m
[ ]	158m

When converting cm to metres remember that there are 100cm in 1 metre

7.

To bake a cake, 250g of flour is required. If a bag of flour is 1kg how much would be left after baking 3 cakes?

[x]	250g
[ ]	500g
[ ]	600g
[ ]	750g

3 x 250 = 750
There are 1,000g in a kg so 1,000 - 750 = 250

8.

A large glass holds 300ml and a small glass holds 250ml. A jug has 1 litre of juice. First I fill 1 large glass. How many small glasses can be filled with what is left in the jug?

[ ]	1
[x]	2
[ ]	3
[ ]	4

First you need to subtract 300ml from 1 litre. As there are 1,000ml in a litre, the answer is 700ml. Divide this by 250ml and the answer is 2 full glasses with 200ml left over

9.

Ahmed got up at 7:00. It took him 35 minutes to get ready and 20 minutes to walk to school. What time did he arrive in school?

[ ]	7:30
[ ]	7:45
[x]	7:55
[ ]	8:05

7:55 can also be written as five to eight

10.

There are 35 red balloons, 22 blue balloons and 7 white balloons. 27 balloons pop. How many balloons are left?

[ ]	25
[ ]	32
[ ]	35
[x]	37

You only need to add the units to work this one out. 3 + 2 + 7 = 14 and 14 - 7 = 7. As only one of the answers ends in a 7 we know it must be right