Cambridge & Pearson Edexcel Past Paper Questions
Browse 35,704 questions from Cambridge O-Level & A-Level and Pearson Edexcel IGCSE & IAL exams. Click any question to practice.
Factorise. 9p²-q²
Adam and Ben buy tickets for the cinema and the theatre.
sinx° = sin 50° and 90 < x < 180. Find the value of x.
Simplify x²-4x / x²-x-12
OAC is a triangle and B is a point on AC such that AB : BC = 3 : 2. OA = a and OB = b. [Figure of OAC triangle with vectors a and b] NOT TO SCALE
Abid works in an office for 5 days each week. Each day he works from 08 15 until 1240 and then from 1330 until 1700.
The table shows the ages and heights of 10 boys. Age (years) | 10 | 16 | 11 | 18 | 10 | 11 | 13 | 17 | 13 | 16 Height (cm) | 138 | 168 | 135 | 174 ...
[Figure 3.1] (Grid for plotting graph)
f(x) = x² - 7 g(x) = (4-3x)/2
[Figure 5.1] George has two bags each containing black balls and white balls.
The position vector of point A is (4, 7) and the position vector of point B is (9, 2).
[Figure 7.1] (Grid with Shape A and Shape B)
Lara and Marco each cycle 50km on a cycle trail. Lara cycles at an average speed of x km/h. Marco cycles at an average speed of (x-3) km/h.
Kate thinks of a number, n. She subtracts 8 from the number and multiplies the result by 3. The answer is 11 less than the number she thought of.
[Figure 10.1] The diagram shows the positions of three towns, P, Q and R. Q is on a bearing of 052° from P. PQ = 11.5 km, QR = 14.6 km and PR = 17....
[Figure 11.1] The diagram shows a regular pentagon ABCDE with centre O. AB = 6 cm and OA = d cm.
Hala travels from London to Marseille by train. She must change trains in Paris. The journey from London to Paris takes 2 hours 28 minutes. The jou...
Marco grows two types of tomato plants, type A and type B. He counts the number of tomatoes growing on each tomato plant. The results for type A pl...
A cuboid has height h cm and a square base of edge x cm. The volume of the cuboid is 60 cm³. [Figure with cuboid labeled h and x]
(a) E = {x: x is an integer 10 ≤ x ≤ 40} P = {x : x is a multiple of 6} Q = {x: x is a square number}
A bag contains x five-cent coins and y ten-cent coins.
[Figure with Triangle A and D on a grid]
[Figure of irregular quadrilateral ABCD with sides 95, 107, 165, 160 and angle at A 90 degrees] ABCD is the floor plan of an exhibition hall with d...
Simplify. 6v + 3w - 5w - v
[Volume of a sphere = 4/3 πr³] [Surface area of a sphere = 4πr²] The diagram shows a wooden bowl. It is made in the shape of a large hemisphere wit...
(a) [Figure with points A, B, C, D on a circle. AC is diameter. Angles ACD and CAB are 40 degrees] A, B, C and D are points on a circle. AC is a di...
Work out 6 + 4 ÷ 2.
Write these numbers in order of size, starting with the smallest. 1/5 3/25 13% 0.1
Work out the temperature that is 20 degrees higher than -12 °C.
Kasia buys 12 apples. Each apple costs 65 cents. Work out how much Kasia pays. Give your answer in dollars.
Yasmin asks 20 people how many pets they own. The results are shown in the bar chart. [Figure Bar Chart]
The diagram shows a straight line crossing two parallel lines. [Figure Parallel Lines with Angles]
By writing each number correct to 1 significant figure, estimate the value of 53.7 / (2.61 + 7.48).
Convert 78 mm to cm.
The scatter diagram shows the ages of ten people and the time they each take to complete a task. [Figure Scatter Diagram]
Four exterior angles of a pentagon are 150°, 100°, 45° and 35°. Calculate the size of the remaining exterior angle.
Evaluate 4² + √27.
The scale drawing shows the positions of two boats A and B. The scale is 1:20000. [Figure Scale Drawing]
Work out 1 3/5 ÷ 1 1/3.
Write 36 as a product of its prime factors.
B, C and D are points on the circle, centre O. AB and AC are tangents to the circle. Angle BAC = 38°. Work out [Figure Circle Geometry]
The region R is defined by these inequalities. 1 ≤ x ≤ 3 2 ≤ y ≤ 3 y ≥ x/2 + 1 Find and label region R. [Figure Graph Grid]
y is directly proportional to the square root of x. When x = 16, y = 2. Find y when x = 25.
In a sports club of 40 members: • 22 members run (R) • 24 cycle (C) • 14 sail (S) • 3 cycle and sail but do not run • 9 run and cycle but do not sa...
The diagram shows the speed-time graph for part of a car journey. [Figure Speed-Time Graph]
A = (-2 1 ; 4 3) B = (3 2 ; -1 1)
Factorise 6a - 9.
f(x) = x/4 + 3 g(x) = 2(x - 1)
In the diagram, OABC is a parallelogram. OA = a and OC = c. X is the midpoint of AC. Y is the point on AB where AY : YB = 2 : 1. Express, as simply...
Solve 3x/(x+1) - 2/(x-1) = 3.