GCSE Exam Style Questions
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1. Algebraic proof (H, 3 marks)
2. Area of a circle within a semicircle (FH, 5 marks)
3. Best value problem (FH, 3 marks)
4. Calculating missing values using the mean (FH, 3 marks)
5. Changing ratios (FH, 4 marks)
6. Combinations of boys and girls (H, 3 marks)
7. Combined average speed (FH, 4 marks)
8. Combining ratios (FH, 2 marks)
9. Comparing bonuses using percentages (FH, 5 marks)
10. Comparing speeds over the same distance (FH, 5 marks)
11. Comparing times (F, 4 marks)
12. Composite functions (H, 5 marks)
13. Conditional probability (FH, 4 marks)
14. Converting speeds (F, 2 marks)
15. Cosine rule and area of triangles (H, 5 marks)
16. Counters in a bag (F, 3 marks)
17. Counting combinations of cards (H, 2 marks)
18. Creating largest/smallest and odd/even numbers. (F, 2 marks)
19. Cutting lengths of wire (F, 3 marks)
20. Delivery costs (F, 3 marks)
21. Direct and inverse proportion (H, 4 marks)
22. Donating shares in a ratio (FH, 3 marks)
23. Equation of a tangent to a circle at a point (H, 4 marks)
24. Equations of perpendicular lines (H, 4 marks)
25. Equations of perpendiculars with ratio. (H, 5 marks)
26. Error intervals (FH, 2 marks)
27. Estimated frequency (FH, 2 marks)
28. Estimated profit or loss (FH, 5 marks)
29. Estimating populations (H, 4 marks)
30. Estimating with speed, distance and time (FH, 3 marks)
31. Even and odd multiples (F, 1 marks)
32. Exchange rates (FH, 3 marks)
33. Expanding cubics (H, 3 marks)
34. Expressing perimeters of regular polygons (F, 2 marks)
35. Factor sum problem (F, 2 marks)
36. Factorising difference of two squares (H, 2 marks)
37. Fibonacci and algebra (H, 6 marks)
38. Finding polygon sides with interior and exterior angles (FH, 3 marks)
39. Finding the original numbers given the HCF and LCM (H, 2 marks)
40. Forming an expression with the area of a square (FH, 3 marks)
41. Forming and solving simple linear equations (F, 2 marks)
42. Forming equations with an isosceles triangle (FH, 4 marks)
43. Forming equations with ratio (FH, 4 marks)
44. Functional multiplication and division (FH, 4 marks)
45. Functional shopping arithmetic (F, 3 marks)
46. Growth problems using iterative processes (H, 3 marks)
47. Inverse functions (H, 4 marks)
48. Inverse functions and missing constants (H, 5 marks)
49. Linear inequalities (H, 3 marks)
50. Linear sequences and nth term (FH, 4 marks)
51. Metric units and proportion (F, 3 marks)
52. Midpoints and ratio (FH, 3 marks)
53. Missing lengths in similar triangles (FH, 4 marks)
54. Missing lengths on a stick (F, 2 marks)
55. Mixing densities (H, 4 marks)
56. Monthly cost of a holiday loan (F, 4 marks)
57. Multiple ratios and percentages (FH, 3 marks)
58. Multiple ratios on a line (H, 3 marks)
59. Multiplying decimals (FH, 3 marks)
60. nth term of a quadratic (H, 3 marks)
61. Odd and even algebra (F, 3 marks)
62. Ordering fractions, decimals and percentages (F, 2 marks)
63. Ordering from a menu (F, 3 marks)
64. Percentage of an amount (F, 2 marks)
65. Percentage profit (FH, 3 marks)
66. Percentages, finding the original (FH, 2 marks)
67. Percentages, profit and problem solving (H, 3 marks)
68. Perimeters of rectangles and squares (F, 4 marks)
69. Pressure, force and area (FH, 3 marks)
70. Probability and expected frequency (FH, 3 marks)
71. Probability and percentages (H, 4 marks)
72. Product of prime factors (FH, 2 marks)
73. Proportion and wages (H, 3 marks)
74. Proportional division (F, 2 marks)
75. Proportional fruit problem (F, 3 marks)
76. Proportional relationships (H, 3 marks)
77. Pythagoras and cosine rule in a tetrahedron (H, 6 marks)
78. Pythagoras and perimeter in context (FH, 5 marks)
79. Pythagoras Theorem (FH, 3 marks)
80. Quadratic graphs and turning points. (H, 4 marks)
81. Quadratic inequalities (H, 4 marks)
82. Railcard discounts (F, 4 marks)
83. Ratio recipes. (FH, 4 marks)
84. Ratio, fractions and percentages in context (FH, 5 marks)
85. Reading fuel gauges (F, 2 marks)
86. Rearranging to show if two lines are parallel (FH, 2 marks)
87. Repeated percentage change in reverse (H, 3 marks)
88. Repeated percentage decrease (FH, 3 marks)
89. Reverse percentages (FH, 2 marks)
90. Reverse probability involving ratio (H, 4 marks)
91. Saving up a percentage of weekly wage (F, 4 marks)
92. Scale factors in multiple dimensions (H, 3 marks)
93. Sharing in a ratio with fractions and percentages (FH, 4 marks)
94. Sharing in a ratio with percentages (FH, 4 marks)
95. Side length of a equilateral triangle given the area (H, 3 marks)
96. Speed, distance, time (FH, 3 marks)
97. Square inscribed in a circle (H, 4 marks)
98. Square patterns on an axes. (FH, 5 marks)
99. Substituting and solving with functions (H, 4 marks)
100. Substitution into real life formulae (FH, 3 marks)
101. Sum, products and difference (F, 3 marks)
102. Surface area and volume of a cube (FH, 3 marks)
103. Think of a number (F, 3 marks)
104. Transforming trigonometric equations (H, 3 marks)
105. Using exact trigonometric values (FH, 3 marks)
106. Using Pythagoras to check for right angles. (FH, 3 marks)
107. Using the mean to find missing values (FH, 4 marks)
108. Vectors in parallelograms (FH, 3 marks)
109. Worded probability scale (F, 2 marks)
110. Writing multiple ratios as a single ratio (FH, 3 marks)
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