1. ROUND 1

2. QUESTION 1
Simplify
8 𝑥 4 𝑦 3 ÷ 4𝑥 2 𝑦 2

3. QUESTION 2
Simplify
2 𝑥 3 𝑦 4

4. QUESTION 3
Evaluate
2 5

5. QUESTION 4
Evaluate
3 −3

6. QUESTION 5
Evaluate 81
𝟏 𝟐

7. QUESTION 6
Evaluate 27
− 𝟏 𝟑

8. QUESTION 7
Evaluate
27 64
𝟐 𝟑

9. QUESTION 8
Evaluate
25 16
- 𝟑 𝟐

10. ROUND 2

11. QUESTION 1
Simplify
180

12. QUESTION 2
Simplify
18 × 6

13. QUESTION 3
Simplify

14. QUESTION 4
Simplify
2 3 ×3 3

15. QUESTION 5
Simplify
2 ( )

16. QUESTION 6
Simplify
3 2 (3−3 2 )

17. QUESTION 7
Simplify
( 2 −1)( 2 +1)

18. QUESTION 8
Simplify
(2 3 −1)( )

19. ROUND 3

20. Write down the formula to calculate the area of a
QUESTION 1
Write down the formula to calculate the area of a
semi circle radius r?

21. QUESTION 2
If the gradient of OP is -2 what is the gradient of the tangent to the circle at point P

22. What is the sum of the opposite angles in a cyclic quadrilateral?
QUESTION 3
What is the sum of the opposite angles in a cyclic quadrilateral?

23. Write down the formula to calculate the length of the arc?
QUESTION 4
Write down the formula to calculate the length of the arc? θ° r

24. What is the reciprocal of 1 𝑥 ?
QUESTION 5
What is the reciprocal of 1 𝑥 ?

25. What is the sum of the interior angles of a polygon with n sides?
QUESTION 6
What is the sum of the interior angles of a polygon with n sides?

26. Write down the formula to solve the equation ax2+bx+c = 0.
QUESTION 7
Write down the formula to solve the equation ax2+bx+c = 0.

27. Write down the formulae to calculate the area of the sector
QUESTION 8
Write down the formulae to calculate the area of the sector θ° r

28. ROUND 4

29. Which trig ratio would you use to calculate x?
QUESTION 1
Which trig ratio would you use to calculate x?

30. Which trig ratio would you use to calculate x?
QUESTION 2
Which trig ratio would you use to calculate x?

31. Which trig ratio would you use to calculate x?
QUESTION 3
Which trig ratio would you use to calculate x?

32. Write down the formula you would use to calculate x.
QUESTION 4
Write down the formula you would use to calculate x. x b θ° a

33. Write down the formula you would use to calculate x.
QUESTION 5
Write down the formula you would use to calculate x. a b θ° x

34. Write down the formula to calculate the area of the triangle.
QUESTION 6
Write down the formula to calculate the area of the triangle. a c θ° b

35. Write down the formula you would use to calculate x.
QUESTION 7
Write down the formula you would use to calculate x. a c x° b

36. Write down the formula you would use to calculate x.
QUESTION 8
Write down the formula you would use to calculate x. b x a

37. ROUND 5

38. What is the formula for calculating the area?
QUESTION 1
What is the formula for calculating the area?

39. What is the formula for calculating the area?
QUESTION 2
What is the formula for calculating the area?

40. QUESTION 3
Models A and B are mathematically similar. If the height of A is half the height of B express as a ratio the surface area of A to the surface area of B

41. QUESTION 4
Models C and D are mathematically similar. If the volume of C is one-eighth the volume of D express as a ratio the surface area of C to the surface area of D

42. How many cm2 are there in 1 m2 ?
QUESTION 5
How many cm2 are there in 1 m2 ?

43. How many mm3 are there in 1 cm3?
QUESTION 6
How many mm3 are there in 1 cm3?

44. QUESTION 7
A block with a volume of x m3 has a mass of y kg. Express the density as g/cm3

45. QUESTION 8
A particle travels x m in y seconds. Express the speed in kilometres per hour.

46. ROUND 6

47. QUESTION 1
Work out
−1 3 4

48. QUESTION 2
Work out
÷1 3 4

49. Express 3 40 as a percentage
QUESTION 3
Express as a percentage

50. Express 0. 1 5 as a fraction in its lowest form
QUESTION 4
Express as a fraction in its lowest form

51. If 80% of a value is 72. What is the value?
QUESTION 5
If 80% of a value is 72. What is the value?

52. QUESTION 6
5 8 of the counters in a box are red and the rest are blue. Express the number of red to blue counters as a ratio.

53. QUESTION 7
£x is invested in an account paying a% interest per annum. Write down a formula to calculate the value after n years.

54. QUESTION 8
Profits are shared between A and B in the ratio 2 : 5. If A gets £x less than B express in terms of x the total profit shared.

55. ROUND 7

56. Express 34.5×10-4 as standard form
QUESTION 1
Express 34.5×10-4 as standard form

57. QUESTION 2
Solve x2 + 5x – 14 < 0

58. QUESTION 3
Expand and simplify
(x-1)(x+2)(x-3)

59. Make x the subject of the formula
QUESTION 4
Make x the subject of the formula
𝑦= 𝑥+𝑎 𝑏+𝑥

60. QUESTION 5
Simplify
𝑥 −2 𝑥+4 ÷ 𝑥−2 𝑥 2 −16

61. QUESTION 6
f(x) = x2 + 2 and g(x) = x – 2
Find fg(x)

62. QUESTION 7
Simplify
𝑥+2 3 − 4𝑥−1 𝑥

63. What is the radius of the circle x2 + y2 = ¼ ?
QUESTION 8
What is the radius of the circle
x2 + y2 = ¼ ?

64. ROUND 8

65. QUESTION 1
Find the coordinates of the midpoint of the line joining (-4, 3) to (6, -9)

66. QUESTION 2
What is the value of
(cos 30°)2 – sin 30° ?

67. QUESTION 3
Find the nth term of
3, 4, 7, 12

68. QUESTION 4
A force of 10 N is applied to an area of 0.4 m2 .Calculate the pressure

69. Find the coordinates of the vertex of the graph y = x2 – 10x - 5
QUESTION 5
Find the coordinates of the vertex of the graph
y = x2 – 10x - 5

70. QUESTION 6
x is given as 2000 m correct to 2 significant figures. Express the error interval for x as an inequality

71. If the bearing of A from B is 124° what is the bearing of B from A?
QUESTION 7
If the bearing of A from B is 124° what is the bearing of B from A?

72. QUESTION 8
Factorise
12x2 + 7x - 10