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.