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 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.
ABC is a triangle with AC = 8.3 cm and BÂC = 105°. Construct triangle ABC. Line AB has been drawn for you.
Maya leaves the office for a factory visit. The distance-time graph shows her journey from the office to the factory. [Figure 8.1] Maya stays at th...
The Bukhari family and the Garcia family are going on holiday. In the Bukhari family there are 2 adults and 3 children. In the Garcia family there ...
Bags of sweets are packed into boxes.
The diagram shows an open container on a horizontal surface. The container is a prism with trapezium ABCD as its cross-section. AB = 28 cm, DC = 24...
(a) A shop buys some fruit. The table shows the bill for this fruit. Item | Quantity (kg) | Price per kg () | Cost price () Bananas | 50 | 0.51 | 2...
One chocolate bar costs p cents and one packet of sweets costs 75 cents. Tanish pays $9.10 for 5 chocolate bars and 8 packets of sweets. Form an eq...
(a) [Figure 3.1] The diagram shows the equilateral triangle B and part of the regular polygon A which have a common side. The interior angle of pol...
(a) Complete the table of values for y = 2ˣ/5. x | -1 | 0 | 1 | 2 | 3 | 4 y | 0.1 | 0.2 | 0.4 | 0.8 | 1.6 | (b) Draw the graph of y = 2ˣ/5 for -1 ≤...
(a) The table shows the population and area of three countries in 2019. Country | Population | Area (km²) Sri Lanka | 2.18 × 10⁷ | 6.56 × 10⁴ South...
Sophia takes part in the Trio Challenge. She walks, then cycles and then swims. Trio Challenge Walk 6.3 km Cycle 3000 m Swim 1800m
(a) On Monday, the amount of money spent on a website by each customer was recorded. The table shows the results. Amount of money (m) | 0<m≤30 | 30...
(a) [Figure 8.1] The length of the rectangle R is twice its width. Rectangle R has a perimeter of 20.4 cm. (b) [Figure 8.2] A piece of card is a se...
[Figure 9.1] A, B and C are points on horizontal ground. The bearing of B from A is 072°. The bearing of C from A is 205°. AB = 170m and AC = 95 m....
(a) F is the point (6, 1), G is the point (–2, 4) and GH = (-3 8). Calculate |FH|. (b) [Figure 10.1] OA = a, OB = b and AC = kb. X is the point on ...
From this word write down the letters which have
At the start of the day the mass of a bird is 4.628 kg. Later in the day the mass of this bird is 4.693 kg. Calculate the increase in the mass of t...
Work out. 0.3 × 0.02