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.
Here is a list of numbers. 1/3 √4 2^0 √5 10/8 2^-1 Write down the number in the list that is irrational.
Evaluate. 5×10^7-8×10^6 Give your answer in standard form.
120 = 2³ × 3 × 5 126 = 2 × 3² × 7 The lowest common multiple (LCM) of 120 and 126 is 2520. Write 2520 as a product of its prime factors.
Each interior angle of a regular polygon is 160°. Find the number of sides of the polygon.
[Figure showing shapes A and B on a coordinate grid]
The diagram shows a shaded triangle, ABC, drawn on a 1 cm square grid. The equation of the line AC is y = -3/2x + 1.
Lin records the masses, in grams, of 60 onions. The cumulative frequency diagram shows her results. [Figure with a cumulative frequency diagram]
The diagram shows two mathematically similar mugs. [Figure showing two mugs, one small with width 'w cm' and one large with width '8 cm', NOT TO SC...
Simplify. (16a^20)^1/4
The inverse of a matrix A is given by 1/20 (m 7 \ -1 k). m and k are positive integers and m < k. The determinant of matrix A is 20. Find A.
f(x) = (3x-1)/2 g(x) = 5^x
A theatre offers a singing lesson (S), a dancing lesson (D) and an acting lesson (A). A group of 40 people are asked which lessons they take part i...
P is the point (-1, 4) and Q is the point (-3, -2).
The table shows the times each of 110 students take to travel to school one day. [Table with Time (t minutes): 0<t≤5, 5<t≤10, 10<t≤20, 20<t≤40; Fre...
In the diagram, OA = a, OB = 2b and AB : BC = 1 : 3 . OBD is a straight line. [Figure showing a triangle OAC with B on OC and D on OB extended, vec...
Basma owns a toy shop. The sign shows the opening hours for the shop. Saturday to Wednesday 1030 to 1800 Thursday and Friday 1000 to 1930 Work out ...
In a traffic survey, information about the vehicles passing a checkpoint is recorded.
y = 4+2x - x²/2 Complete the table for y = 4+2x-x²/2 x | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 y | | 1.5 | 4 | 5.5 | 6 | 5.5 | 4 | 1.5 |
E = {x: x is an integer 1 ≤ x ≤ 15} A = {x: x is a multiple of 3} B = {x: x is a factor of 30}
Solve. y/4 = 8
[Volume of sphere = 4/3 πr³] The diagram shows a sphere inside a cube. The sphere touches all 6 faces of the cube. The volume of the cube is 343 cm...
ABCD is a parallelogram with sides AB, BC, CD and DA. A is the point (-3, 7) and B is the point (2, 5). AD = (-1 -6)
ABCD is a field. AB = 320 m, BC = 250m, CD = 132m and AD = 365 m. Angle BCD = 90°. [Figure showing a quadrilateral ABCD with a North line at A]
ABD is a triangle. C is a point on BD and E is a point on AD. AB is parallel to EC and CD = DE. Find the value of x and the value of y. [Figure sho...
Bag A contains red balls and green balls. The total number of balls in the bag is x. The number of green balls in the bag is 6 more than the number...
Mia has 25 shapes. She uses their properties to sort them into groups. The table shows the number of shapes in each group. Line symmetry | Triangle...
These are the contents of a bag of mixed fruit. Pineapple 96 g Mango 84 g Papaya 60 g Calculate the mass of mango as a percentage of the total mass...
The table shows the age and value of 10 cars of the same model. Age (years) 3 3 4 4 5 5 5 6 8 8 Value () 5500 6200 4200 4000 4000 3700 4500 3000 15...
[Figure showing a cuboid tank with length 1.2, width 0.6, and height h. Labelled 'NOT TO SCALE'.] The diagram shows a tank. The tank is a cuboid wi...
Anya buys 4 shirts and 3 hats. She pays $100 and receives $21.50 in change. Each shirt costs the same amount. Each hat costs $13.50. Work out the c...
Mandeep has these 9 number cards. 1 1 2 2 2 5 6 7 8
Complete the table for y = x/4 (2x²-x-10).
Solve. 4x+7 = 16
[Figure showing triangles ADB and AEC as straight lines. BC is parallel to DE. A diagram with two similar triangles ABC and ADE. BC = 9.8 cm, BD = ...
[Figure showing a circle, centre O, with points A, B, C, D on the circumference. AOD and OCE are straight lines. DE is a tangent to the circle at D...
The cost of apples is x cents per kilogram. Mina spends $9 on apples.
Write down the reciprocal of 7/2.
Some children record the number of hours they each spend watching television one day. These are the results. 1 2 2 2 6 7 7 8 10
A shirt costs $24. In a sale the cost is reduced by 15%. Work out the cost of the shirt in the sale.
The diagram shows five straight lines. [Figure 4.1] The diagram shows three horizontal parallel lines and two sloping parallel lines.
The table shows how some people travel to work. Type of travel | Number of people | Pie chart angle ---|---|--- Cycle | 20 | 120° Walk | 12 | 72° C...
Sam buys some chocolate. He eats 2/7 of the chocolate. The mass of the remaining chocolate is 350 g. Work out the mass of the chocolate Sam buys.
Car hire $40 per day plus $0.30 per kilometre Amy hires a car for 10 days. She pays a total of $670. Work out the number of kilometres Amy travels ...
The diagram shows triangle A and triangle B. [Figure 8.1]
By writing each number correct to 1 significant figure, work out an estimate for the value of √102.5 × 8.7 / 27
A circle has diameter 12 cm. Find the area of the circle. Give your answer in terms of π.
A bag contains 10 plums. The mean mass of 6 of the plums is 50 g. The mean mass of the remaining 4 plums is 40 g. Calculate the mean mass of all 10...
The diagram shows an empty container. [Figure 12.1] The container is a cuboid of width 10 cm, length 8 cm and height 9 cm. Water drips into the con...
Work out 2 2/3 + 3 3/4. Give your answer as a mixed number in its simplest form.
Lia cycles 800m in 105 seconds. The diagram shows the speed-time graph for this journey. [Figure 14.1]