A21 Translating situations into equations and solving them Quiz: AQA Maths, Unit 2

The 20 questions

1. Five more than twice a number is 17. Which equation represents this?

   • 2(n + 5) = 17
   • 5n + 2 = 17
   • 2n + 5 = 17
   • n/2 + 5 = 17

2. A rectangle is twice as long as it is wide and has perimeter 36 cm. What is its width?

   • 9 cm
   • 18 cm
   • 12 cm
   • 6 cm

3. The angles of a triangle are x, 2x and 3x degrees. What is the smallest angle?

   • 30 degrees
   • 45 degrees
   • 90 degrees
   • 60 degrees

4. Ben and Ali are ages b and b + 4, with a total of 26. How old is Ben?

   • 22 years
   • 15 years
   • 11 years
   • 13 years

5. Three notebooks and two pens cost 7.50 pounds. Each pen costs 1.50 pounds. What does one notebook cost?

   • 4.50 pounds
   • 1.50 pounds
   • 2.50 pounds
   • 1.25 pounds

6. Two consecutive odd numbers have a sum of 56. What are they?

   • 27 and 29
   • 26 and 28
   • 25 and 27
   • 28 and 30

7. Two angles on a straight line are x and 3x - 20 degrees. What is x?

   • 50 degrees
   • 60 degrees
   • 65 degrees
   • 40 degrees

8. A rectangle has sides x cm and (x + 4) cm and area 45 cm squared. What is x?

   • 4
   • 5
   • -9
   • 9

9. Two apples and three bananas cost 9 pounds. One apple and one banana cost 4 pounds. What does one apple cost?

   • 5 pounds
   • 3 pounds
   • 1 pound
   • 4 pounds

10. Twenty minus a number equals four times the number. What is the number?

    • 5
    • 16
    • 4
    • 2

11. The four angles of a quadrilateral are x, x + 10, x + 20 and x + 30 degrees. What is the smallest angle?

    • 90 degrees
    • 85 degrees
    • 65 degrees
    • 75 degrees

12. Tickets cost 8 pounds each plus a 5 pound booking fee. The total is 61 pounds. How many tickets were bought?

    • 8 tickets
    • 6 tickets
    • 7 tickets
    • 9 tickets

13. Which value of x satisfies 3(x - 4) = 2x + 1?

    • 13
    • -13
    • 7
    • 11

14. (H) A rectangle has width w and length w + 2 and area 35. Which equation is it?

    • w + (w + 2) = 35
    • w^2 + 2 = 35
    • 2w + 2 = 35
    • w(w + 2) = 35

15. (H) Which equation represents: a number multiplied by three more than itself is 40?

    • n^2 + 3 = 40 + n
    • n + (n + 3) = 40
    • n(n + 3) = 40
    • 3n = 40 - n^2

16. (H) Plan A costs 12 + 3n pounds and plan B costs 4n pounds. For what n do they cost the same?

    • 3
    • 16
    • 12
    • 4

17. Two ages total 50 years and one is 10 years older than the other. What is the older age?

    • 40
    • 30
    • 20
    • 25

18. (H) The sum of the first n positive whole numbers is 15. Which equation gives n?

    • n + (n + 1) = 15
    • n^2 + 1 = 15
    • n(n + 1) / 2 = 15
    • 2n + 1 = 15

19. (H) Two numbers sum to 30 and differ by 6. What is the larger number?

    • 18
    • 12
    • 6
    • 24

20. (H) A bag has 2 red and 3 blue counters, and a second bag has w counters. What is the total number of counters in both bags?

    • w + 2 + 3 + 2
    • 5 + w
    • 5 x w
    • 2 + 3 + 2w

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