1.1 Knowledge and use of numbers and the number system including fractions, decimals, percentages, ratio, proportion and order of operations Quiz: AQA Further Maths, Unit 1

The 20 questions

1. Which decimal is equal to the fraction 3/4?

   • 0.43
   • 1.33
   • 0.75
   • 0.34

2. What is 35% of 80?

   • 32
   • 28
   • 24
   • 35

3. Work out 3 + 4 × 2^2 − 6 ÷ 2.

   • 19
   • 13
   • 10
   • 16

4. Write the ratio 24 : 36 in its simplest form.

   • 3 : 2
   • 3 : 4
   • 2 : 3
   • 4 : 9

5. Express 0.125 as a fraction in its simplest form.

   • 1/80
   • 1/8
   • 1/25
   • 1/7

6. Five pens cost £3.75. What is the cost of eight of the same pens?

   • £6.50
   • £6.00
   • £4.80
   • £5.40

7. A price of £60 is increased by 15%. What is the new price?

   • £75
   • £45
   • £66
   • £69

8. Which set contains numbers that can be written as p/q, where p and q are integers and q is not zero?

   • Prime numbers
   • Irrational numbers
   • Rational numbers
   • Surds

9. £180 is shared in the ratio 2 : 3 : 4. How much is the smallest share?

   • £60
   • £80
   • £40
   • £20

10. Work out 2/3 of 45.

    • 27
    • 15
    • 30
    • 40

11. Work out 1/4 + 2/3 − 1/6.

    • 7/12
    • 1/2
    • 5/6
    • 3/4

12. Work out 0.6 × 0.4.

    • 2.4
    • 0.24
    • 0.20
    • 0.024

13. A price of £240 is reduced by 25%. What is the new price?

    • £165
    • £215
    • £60
    • £180

14. After a 20% increase, a price is £96. What was the original price?

    • £77
    • £76.80
    • £80
    • £115.20

15. Evaluate 18 ÷ (3 + 3) × 2.

    • 6
    • 9
    • 1.5
    • 36

16. The ratio of boys to girls in a class is 3 : 5. There are 40 students. How many are boys?

    • 16
    • 25
    • 15
    • 24

17. Work out 2 3/5 ÷ 1 1/2, giving your answer as a mixed number.

    • 3 9/10
    • 2 1/15
    • 1 11/15
    • 1 3/5

18. £2000 is invested at 5% compound interest per year. What is its value after 2 years?

    • £2200
    • £2205
    • £2100
    • £2210

19. The ratio of A to B is 2 : 5. A is 18. What is B?

    • 36
    • 90
    • 45
    • 27

20. Express the recurring decimal 0.121212... as a fraction in its simplest form.

    • 1/8
    • 2/17
    • 3/25
    • 4/33

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