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Mark has to take 15ml of medicine twice per day for 7 days. He needs 210ml of medicine.

Solving Problems (Year 5)

Problem solving in maths helps you think like a detective! Use reasoning, logic, and number skills to work out real-world challenges step by step in this KS2 quiz.

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Fascinating Fact:

Scientists use maths to predict results, measure accurately, and compare data from experiments.

In KS2 Maths, solving problems means using reasoning, estimation, and calculation skills to find answers. Pupils learn to interpret information, test different approaches, and check that their solutions make sense — just like real scientists or engineers!

Key Terms

Estimate: A sensible guess made before working out an exact answer.
Reasoning: Explaining how and why a mathematical answer makes sense.
Data: Information collected from observations, surveys, or experiments that can be measured or compared.

Frequently Asked Questions (Click to see answers)

What is problem solving in KS2 maths?

Problem solving means using different maths skills to answer tricky or real-life questions. It often involves reasoning, estimating, and checking your answers carefully.

Why is problem solving important in maths?

It helps you apply maths to everyday life — from shopping and cooking to science and sport — and builds confidence when tackling unfamiliar challenges.

How can I get better at solving maths problems?

Practise regularly, read questions carefully, draw diagrams, break problems into smaller steps, and always check your answers make sense.

Try These Related Quizzes

1 .

The jug of lemonade contained 2 litres. Gran drank 265ml. How much lemonade was left?

1.735 litres

17.35 litres

173.5 litres

1,735 litres

There are 1,000ml in a litre so to find the answer take 265 away from 2,000, which is 1,735ml or 1.735 litres

2 .

A box of chocolates has 24 toffees, 49 soft centres and 18 nuts. If I eat 52 chocolates how many are left in the box?

24 + 49 + 18 = 91 so I have 91 sweets altogether. 91 - 52 = 39 so if I eat 52 sweets I will have 39 left

3 .

Mark has to take 15ml of medicine twice per day for 7 days. How much medicine does he need?

30ml

140ml

105ml

210ml

15ml twice a day is 15 x 2 = 30ml. 30ml over 7 days is 30 x 7 = 210ml

4 .

A joint of beef requires 30 minutes per 500g cooking time plus 30 minutes. For how long does a 3.5kg joint of beef require cooking?

1 hour

135 minutes

2 hours

4 hours

If the beef needs 30 minutes per 500g (+30 minutes) then it need 1 hour per kg (+ 30 minutes)

5 .

Each jacket potato takes 6 minutes to cook in a microwave oven. How many minutes would it take for 9 jacket potatoes to cook?

45 minutes

54 minutes

66 minutes

72 minutes

If you don't know the 9 times table one way to work out 6 x 9 is to multiply 6 by 10 (60) and take away 6 (54)

6 .

A box holds 12 eggs. I have 136 eggs. How many boxes do I need to hold all the eggs?

136 ÷ 12 = 11 remainder 4 therefore 12 boxes will be required to hold all the eggs even though one box will only contain 4 eggs

7 .

6 planks of wood are all 150cm long. We require a continuous run of planks for 8.75m. How much needs chopping off the last plank?

12cm

25cm

50cm

250cm

6 x 150 = 900cm. We only need 8.75m or 875cm so we will need to cut off 25cm

8 .

I have four ribbons measuring 34mm, 55mm, 87mm and 123mm. What is their total length in cm?

0.299cm

1.99cm

2.9cm

29.9cm

34 + 55 + 87 + 123 = 299. There are 10mm in a cm so to convert mm into cm you divide their number by 10

9 .

A bag of apples weighs 720g and a bag of pears weigh 645g. How much do the two bags weigh altogether in kg?

1.365kg

13.65kg

136.5kg

1,365kg

720 + 645 = 1,365. There are 1,000g in a kg so the answer is 1.365kg. Did you get the decimal point in the right place?

10 .

I have 12 oranges, all of an equal weight, with a total weight of 900g. I eat 5 oranges. What is the total weight of the remaining oranges?

500g

515g

525g

535g

First find the weight of one orange by dividing 900g by 12 which is 75g, so 7 oranges will be 75g x 7 = 525g

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

Author: Amanda Swift (Primary School Teacher & Educational Content Developer)

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