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Solving Problems (Year 3)
Six wooden bricks weigh 600g. 2 bricks weigh 200g.

Solving Problems (Year 3)

Problem solving makes maths come alive! In this KS2 Maths quiz, you’ll learn how to use logic, patterns, and numbers to make smart choices in everyday life.

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Fascinating Fact:

Solving maths problems helps you make choices every day, such as working out if you have enough money to buy a snack.

In KS2 Maths, pupils learn to solve problems using addition, subtraction, multiplication, and division. They use reasoning and logical thinking to understand real-life situations, like planning journeys or budgeting pocket money.

  • Reasoning: Using logic and evidence to reach a sensible answer or decision.
  • Estimation: Making a quick, sensible guess to check if an answer is reasonable.
  • Operation: A mathematical action, such as adding, subtracting, multiplying, or dividing.
Why is problem solving important in maths?

Problem solving helps students apply their maths skills to everyday life, encouraging logical thinking, confidence, and creativity in finding solutions.

How do you solve maths problems in KS2?

In KS2, pupils learn to read problems carefully, choose the right operations, work out answers step by step, and check that their results make sense.

Can problem solving help outside of school?

Yes! Problem solving helps in daily life, from shopping and cooking to time management and making decisions about money or travel routes.

1 .
There are three glasses of water containing 350ml, 250ml and 400ml. When pouring the water into a bowl, half of it is spilt. How much water is left?
400ml
450ml
500ml
550ml
To solve this problem you need to add 350ml + 250ml + 400ml = 1,000ml. Half of 1,000ml is 500ml
2 .
There are 25ml of medicine in a bottle. A teaspoon holds 5ml. How many teaspoons of medicine are in the bottle?
2
3
4
5
The way to work this one out is to divide 25 by 5
3 .
I think of a number, double it and add 3. The answer is 45. What was my first number?
21
22
23
25
You can work this one out by doing the problem backwards:
45 - 3 = 42
42 ÷ 2 = 21
4 .
An apple weighs 25g. How much would 4 apples weigh?
50g
75g
100g
125g
25 x 4 = 100 so 4 apples would weigh 100g
5 .
Two pieces of string are 10cm long and three pieces of string are 6cm long. What is the total length?
18cm
20cm
38cm
40cm
10 x 2 = 20 and 6 x 3 = 18
20 + 18 = 38
6 .
A piece of string is 16cm. I cut off 7cm. How long is my string now?
7cm
9cm
10cm
12cm
16 - 7 = 9 so the string is 9cm long
7 .
Richard went jogging at 3:30. He jogged for 30 minutes, walked for 10 minutes then jogged again. He arrived home at 4:20. How long was his second jog?
10 minutes
15 minutes
20 minutes
25 minutes
If you add 30 minutes to 3:30 it will be 4:00; add another 10 minutes and it becomes 4:10, so 4:20 is 10 more minutes
8 .
Six wooden bricks weigh 600g. What do 2 bricks weigh?
100g
200g
250g
300g
To calculate you need to find how much one brick weighs so 600g ÷ 6 = 100g, so 2 bricks weigh 200g
9 .
A cake goes in the oven at 12 o’clock. It bakes for 35 minutes. What time did the cake come out of the oven?
Twenty-five past twelve
Twenty-five to twelve
Twenty-five to one
Twenty-five past one
35 minutes after 12 o'clock is 12:35 or twenty-five to one
10 .
I think of a number and subtract 12. The answer is 15. What was my first number?
3
5
27
29
You can work out the answer by adding 15 and 12 together
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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