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 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.
A is the point (-2, 3) and B is the point (4,7).
OABC is a parallelogram. OA = 2a and OC = 3c. M is the midpoint of BC. T is the point on OB such that OT : TB = 2 : 1.
Work out. 3.25-1.73
The diagram shows a circle with centre O. A straight line touches the circle. Complete each label with the correct mathematical name. A radius has ...
Write these numbers in order of size, starting with the smallest. 0.65 5/8 62% 11/20 0.595
At midday the temperature is 8°C. At midnight the temperature is 12°C lower. Shazia records the temperature, in °C, at 6 am every day for one week....
Maya invests $480 at a rate of 2% per year simple interest. Calculate the total amount of interest she receives at the end of 5 years.
The scale drawing shows the positions of two villages, A and B. The scale is 1 cm to 2 km. [Figure X.X]
Ben walks for exercise. The scatter diagram shows the distance for 10 walks and the time each walk takes. [Figure X.X]
Work out 1 3/4 + 5/6. Give your answer as a mixed number in its simplest form.
The diagram shows a triangular prism. The cross-section is a right-angled isosceles triangle. [Figure X.X]
Solve the simultaneous equations. Show your working. x + 2y = 7, 3x + 4y = 11
By writing each number correct to 1 significant figure, estimate the value of 18.2³ / 0.395
Shape A and shape B are drawn on the grid. [Figure X.X]
These are the first four terms of a sequence. 1 3 9 27. Find the next term of the sequence.
Write 325 as a product of its prime factors.
Three lines and a shaded region are shown on a 1 cm square grid. [Figure X.X]
The diagram shows the speed-time graph for part of a car's journey. [Figure X.X]
f(x) = 2-3x, g(x) = x-4 Find f⁻¹(x).
Juan sells gift bags containing soaps and candles. Matrix C shows the contents of a large gift bag and a small gift bag. soaps candles C = ( (6 4) ...
One morning 50 people visit a library. • 35 of them borrow a book. • 12 of them use a computer. • 8 of them do not borrow a book and do not use a c...
Expand and simplify. (4x-y)(2x+5y)
Solve. 5x / (x-3) = x+4
y is directly proportional to w². x is inversely proportional to w. When w = 10, y = 5 and x = 0.4. Find y in terms of x. Give your answer in its s...
There are 10 cards in a set. Each card shows either a square or a triangle. Every shape on each card is either green or red. The table shows the nu...
A is the point (3, 11) and B is the point (-5, -5). The equation of line L is 2y+x = 5. Show that line L is the perpendicular bisector of AB.
A cuboid has dimensions x cm, (5-x) cm and 15 cm. [Figure 1.1]
Filomena starts work at 10.45 am on Monday. She finishes work 2 hours 50 minutes later. Find the time she finishes work on Monday.
PQ is parallel to RS. ABCD is a straight line. BE = CE and ABE = 110°. Calculate ECQ, giving a reason for each step of your working. [Figure 3.1]
The cumulative frequency diagram shows the amount of fuel, f litres, bought by 100 customers at a service station one day. [Figure 4.1]
= {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} P = {x : x is a multiple of 3} Q = {x: x is an odd number} R = {x:x is a factor of 24}
Simplify 3u - 6w - 5u+9w.