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Year 6 Maths Challenge – Summer 1

  • Picture of Mrs Elkin Mrs Elkin
  • May 2, 2025

Bronze:

🔢 Fractions, Decimals and Percentages – Year 6 Questions

1. Convert the following fractions to decimals:
a) ½
b) ¾
c) ⅕

2. Write these decimals as fractions in their simplest form:
a) 0.2
b) 0.75
c) 0.125

3. What is 25% of 160?

4. A shop has a 10% off sale. A jacket costs £60. How much will it cost after the discount?

5. Convert the following percentages to decimals:
a) 40%
b) 85%
c) 3%

6. Which is greater: 0.6 or ⅗? Show your reasoning.

7. Fill in the missing number:
0.25 = ___%

8. Write these in order from smallest to largest:
½, 0.6, 45%, ⅓

9. Jack ate ⅜ of a cake. Lucy ate 0.25 of the same cake. Who ate more?

10. A bottle contains 1 litre of juice. Sam drinks 0.4 litres, and Jess drinks ⅖ of the bottle. Who drank more juice? Explain your answer.

11. What fraction of 1kg is 250g? Give your answer in its simplest form.

12. A class of 30 pupils took a test. 60% passed. How many pupils passed the test?

13. Which two of the following are equivalent?
a) ⅖
b) 0.4
c) 40%
d) ¼

14. A recipe needs ⅔ of a cup of sugar. You only have a ¼ cup measure. How many ¼ cups will you need to use to get as close as possible to ⅔?

15. A pair of shoes costs £80. In a sale, they are reduced by 15%. What is the sale price of the shoes?

Silver:

Question 1:

How long does the whole journey from Riverside Station to Oakfield Centre take?


Question 2:

How many minutes does the coach stop at Maple Grove?


Question 3:

Lena arrives at Maple Grove at 08:30. How long does she have to wait until the coach departs?


Question 4:

The return coach from Oakfield leaves at 10:15 and takes the same time as the outbound journey. What time does it arrive back at Riverside Station?

Gold:

🔷 Reasoning Problem – 2D Shapes (Year 6)

Problem:

Amira says:

“All quadrilaterals with two pairs of equal sides must be rectangles.”

Do you agree with Amira? Explain your reasoning.

✍️ Prompt for Pupils:

  • Is Amira correct?
  • Can you think of any shapes that have two pairs of equal sides but are not rectangles?
  • Use diagrams or names of shapes to support your answer.

Previous
Next

2 responses

  1. Harrison S. says:
    23/05/2025 at 8:48 am

    1 50 minuetes
    2 17 minutes
    3 5 minutes
    4 11:05

    Log in to Reply
  2. Harrison S. says:
    20/05/2025 at 6:50 pm

    Bronze A is 0.5
    B is 0.75
    C is 0.1

    2
    0.2 is 1/5 in its simplest form
    0.75 is 1/4 in its simplest form
    125 is 1/25 in its simplest form

    3
    32

    4
    6

    5
    0.4
    0.85
    0.3

    6
    0.6 is greater

    7
    25 %

    8
    0.6 1/3 45% 1/2

    9
    Jack

    10
    Sam

    11
    1/5

    12
    20

    13
    A,c

    14
    3

    15
    40

    Log in to Reply

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