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.
A bag contains these 9 letter tiles. I S O S C E L E S
The diagram shows the major sector of a circle with centre O and radius 3 cm. Calculate the area of this sector. Give your answer in the form kπ, w...
Solve (2-5x)/(3x+10) = 3.
OABC and OPQR are parallelograms. A is a point on OP and C is a point on OR. OA = a and OC = c. OA : OP = 1 : 4 and OC : CR = 2 : 3. [Figure showin...
(a) In 2020, the running cost for Frederick's car was $5200. 28% of the running cost was spent on insurance. 3/25 of the running cost was spent on ...
Here are the first four patterns in a sequence made using grey tiles and white tiles. [Figure showing Pattern 1, Pattern 2, Pattern 3, Pattern 4]
(a) The graph shows the cost, in dollars, of buying a length of fabric t metres long. [Figure showing a graph of Cost ($) vs Length of fabric (metr...
(a) A cuboid has dimensions x cm by x cm by 10 cm. The volume of the cuboid is 62.5 cm³. Find the value of x. (b) [Figure showing a sector AOB] A p...
(a) Complete the table of values for y = x³ - 4x + 3. (b) Draw the graph of y = x³ - 4x + 3 for -3 ≤ x ≤ 3. [Figure showing a graph grid]
The diagram shows a field, ABCD, drawn to a scale of 1 cm to 50 m. [Figure showing irregular quadrilateral ABCD]
(a) Yasir travels to work either by car, bus, train or bike. The probabilities of using these means of transport on any work day are shown in the t...
(a) Apples cost $x per kilogram and oranges cost $y per kilogram. The total cost of 5 kg of apples and 10kg of oranges is $40. (b) Solve -8 < 4(x-...
The diagram shows the positions of three towns, A, B and C. B is on a bearing of 072° from A. C is on a bearing of 150° from A. AB = 300 km and AC ...
The diagram shows triangles A, B and C. [Figure showing triangles A, B, C on a coordinate grid]
P is the point (3, -3) and Q is the point (1, 5).
In 2021, the cost of posting a letter was 84 cents. A company posts 1950 letters. Find the cost, in dollars, to post these letters.
A = 3p+q. Find q when A = 23 and p = 5.
A 5-sided spinner is numbered 1, 2, 3, 4 and 5. The table shows the results from spinning the spinner 200 times. Number | Frequency ---|--- 1 | 51 ...
[Figure with a pentagon showing lengths 12, 15, 9, 4 and right angles] The diagram shows a pentagon. All the lengths are in centimetres.
A group of students each complete a puzzle. The table shows the time, t seconds, each student took to complete the puzzle. Time (t seconds) | 80<t≤...
The line y = x+2 is drawn on the grid. [Figure with coordinate grid and line y=x+2 drawn]
[Figure with a speed-time graph] The diagram shows the speed-time graph for a cyclist's journey.
The matrix A satisfies the following equation. (2 3; 5 2) - 3A = (5 3; -4 -1) Find A.
[Figure showing a vertical pole PQ, a rope PR=20m, RQ=11m, RQP=90°] PQ is a vertical pole. A rope is attached from the top of the pole, P, to a poi...
D is the point (4, 6) and E is the point (e, e).
Work out. 1234.4 ÷ 8
Write down the fraction of this 3×3 square that is shaded.
The diagram shows four straight lines meeting at a point. Work out the value of x.
Benjamin's age is t years. Maryam is 5 years younger than Benjamin. Write an expression for Maryam's age in terms of t.
Insert one set of brackets to make the calculation correct. 3 + 5 × 2 – 7 = 9
Complete the pattern so that AB is the only line of symmetry.
Here are five temperatures in °C. -18 -21 -2 17 -10
A rope is cut into three pieces with lengths in the ratio 3 : 5 : 4. The length of the shortest piece of rope is 180 cm.
The diagram shows triangles A and B. Describe fully the single transformation that maps triangle A onto triangle B.
Work out 1 1/3 × 8/9. Give your answer as a mixed number in its simplest form.
Solve the inequality x-5 > 3x+7.
Ali keeps a record of the computer games he plays. Out of the first 6 games, Ali wins 4. Out of the first 20 games, Ali wins 13. Use these results ...
The bearing of Mingfield from Lenton is 156°. Calculate the bearing of Lenton from Mingfield.
Expand and simplify. 5(3x-2) - 3 (2x - 3)
These are the first four terms of a sequence. 1 7 13 19 Find an expression, in terms of n, for the nth term of this sequence.
OMN is a sector of a circle, centre O. ON = 20 cm and the area of the sector is 30π cm². Find the value of x.
The mass of the planet Saturn is 5.7 × 10^26 kg. The mass of the planet Venus is 4.9×10^24 kg. Calculate the difference in mass between Saturn and ...
y = √(x+2)/3. Rearrange the formula to make x the subject.
A and B are points on the circumference of a circle, centre O. TA and TB are tangents to the circle. Show that triangles OBT and OAT are congruent....
f(x) = 10+7x. Find f⁻¹(x).
The diagram shows two rectangles. Rectangle ABCD is mathematically similar to rectangle PQRS. AB = 12 cm, BC = 9 cm and PQ = 8 cm. Find the shaded ...
Factorise. 7y+2xy - 6x – 21
The attendance at a cricket match is 36000 correct to the nearest thousand.
100 batteries are tested to see how long they last. The table shows the results. Number of hours (t) 10<t≤15 15 < t <21 21 < t <30 30 < t < 50 Freq...
(ax^b)³ = 27x^4. Find the value of a and the value of b.