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 completely 12ab² – 8a²b,
Sara sets out on a journey at 1050. She travels 65 km at an average speed of 20 km/h. At what time does she complete her journey?
In the diagram below, the equation of the line AB is 2y = 9 – 3x. [Figure: Coordinate plane with line AB and shaded region R]
Show that the interior angle of a regular decagon is 144°.
Jamil recorded the number of text messages sent by the students in his class on one day. The results are shown in the bar chart. [Figure: Bar chart...
By writing each number correct to one significant figure, estimate the value of (7.84 × 326) / 0.18.
The two triangles below are similar. The lengths are in centimetres. [Figure: Two similar triangles, one with sides 5, 4, b; the other with sides 1...
Solve 3x ≥ 2 – 5x,
In the diagram, ACD and ECD are triangles with CD = DE. AD and EC intersect at F. B is the point on AC such that BF is parallel to CD. BÂF = 26°, B...
The first four terms, u₁, u₂, u₃ and u₄, in a sequence of numbers are given by u₁ = 1 × 2 + 3² = 11 u₂ = 2 × 3 + 4² = 22 u₃ = 3 × 4 + 5² = 37 u₄ = ...
Vicky's fingernail grows one nanometre in one second. One nanometre is 1 × 10⁻⁹ metres. Vicky calculates how much her fingernail grows in one hour....
It is given that h(x) = 2x – 5 and g(x) = 3 / (x – 2). Find
Kelvin chooses a pair of trousers and a shirt to wear for college. He chooses grey trousers or black trousers. He chooses a red shirt or a yellow s...
The diagram shows a window made up of a large semicircle and a rectangle. The large semicircle has 4 identical sections, A, B, C, D, and a small se...
Construct, using ruler and compasses only, triangle ABC with sides AB = 9cm, BC = 8cm and AC = 6cm. The line AB has been drawn for you. [Figure: Li...
The variables x and y are connected by the equation y = x³ – 6x.
On the diagram below, shade two more squares to make a pattern that has rotational symmetry of order 2.
Evaluate 8 – 5 x 4 + 3.
The diagram shows the fuel gauge in Abid's car. [Figure - image of fuel gauge with arrow at 1/2 mark] The tank contains 50 litres when it is full...
An empty lorry has a mass of 4.3 tonnes, correct to the nearest tenth of a tonne.
Given that π = 3.141592654, find the difference between ²²⁄₇ and π, correct to two significant figures. Show your working.
Jane puts some red balloons and some blue balloons into a bag. The ratio of red balloons to blue balloons is 3: 4. There are 84 balloons in the bag...
These two triangles are congruent. The lengths are in centimetres. [Figure - two triangles with labelled sides and angles]
Buses following route A leave the bus station every five minutes. Buses following route B leave the bus station every six minutes. Buses following ...
Solve the simultaneous equations. 3x + 5y = 0 2x – 3y = 19
Evaluate ²⁄₅ – ²⁄₇,
From the numbers listed above, write down [Table of numbers: 0.2, 2, √2, 1/3, 0.83, 8, 81]
Gill swims lengths of the swimming pool. The pool is 25 m long and she swims a total of 1.6km.
Sachin and Zaheer play a game of tennis and a game of badminton. The results of the games are independent and the games cannot be drawn. The probab...
Write 8³ in the form 2ᵏ.
The profits of a company were $5 million in 2009 and $8 million in 2010. Find the percentage increase in profits from 2009 to 2010.
A swarm of locusts contains 40 billion locusts. A billion is a thousand million.
Solve 5x – 2 = 1,
A sequence of diagrams is made using black and white counters. [Figure - Diagrams 1, 2, 3, 4 with counters] The number of black and white counter...
Here are the equations of four straight lines. Line 1: y = 2x + 4 Line 2: y = 2 – x Line 3: y = 2x – 1 Line 4: 2y – 8 = 3x
A group of 100 students was asked how many minutes each spent talking on their mobile phone during one day. The histogram summarises this informati...
¹⁄b = ¹⁄c + ¹⁄d Evaluate b when c = 3 and d = 8.
The diagram shows the speed-time graph of a car travelling between two road junctions. [Figure - speed-time graph]
In the diagram, ABCD is a parallelogram. X is a point on BC. AXY and DCY are straight lines. AB = 8 cm, AX = 7 cm, AD = 9cm and CY = 4 cm. [Figure...
f(x) = 6x² – x + 3 Find f(2),
In this shape all the lengths are in centimetres. [Diagram showing a composite shape with dimensions 20, 5, 25, 12, 10, 5] Work out
Evaluate 0.3 × 0.2,
A bag containing fruit has mass 3.813 kilograms. When the bag is empty its mass is 257 grams. Find, in kilograms, the mass of the fruit.
Complete the statement in the answer space using one of these symbols. [Diagram showing a box containing the symbols: <=, <, =, >, >=]
PQ is a chord of the circle, centre O. X is the midpoint of PQ. OX = 6 cm and the radius of the circle is 10 cm. Calculate PQ. [Diagram showing a c...
A bag contains red, yellow and green sweets. 2/5 of the sweets are red and 1/4 of the sweets are yellow. What fraction of the sweets are green?
On a map the length of a lake is 4.5 centimetres. The actual length of the lake is 2.7 kilometres. Write the scale of the map as a ratio in the for...
One approximate solution of the equation sinx° = 0.53 is x = 32. Use this value of x to find the solution of the equation that lies between 90° and...
Ahmed pays a total of $81 for wood, paint and a hammer.
b = m (a−c) Evaluate b when m = 5, a = 8 and c = -3.