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.
Correct to 6 decimal places, √10 = 3.162 278, 3 1/6 = 3.166 667. Find the difference between 3 1/6 and √10. Give your answer correct to 2 significa...
p = 4 × 10⁵ q = 7 × 10⁶ Expressing each answer in standard form, find
A car manufacturer states that a particular car • uses 5 litres of fuel in travelling 100km, • produces 110 grams of CO₂ for each kilometre travelled.
The times taken by each member of a group of people to run one kilometre were recorded. The results are shown in the table. Time (t minutes) 2<t≤3,...
Find the integers n that satisfy 20 < 4n-3 < 30.
y is inversely proportional to the square of x. Given that y = 3 when x = 2, find y when x = 5.
P = (3 4 -5) Q = ( -1 1 ; 1 0 ; 0 -1 ) Evaluate PQ.
Express 1/x + 2 - 3/(x+1) as a single fraction in its simplest form.
Given that 6^x = 9, write down the value of
In the diagram, triangle ABC is similar to triangle XYZ. AB = 3cm, BC = 8cm, YZ = 12cm and ZX = 15cm. [Figure 13]
A pie chart is used to illustrate the numbers of adults, girls and boys in a group of people. The angles for the adults and girls are 80° and 120° ...
A is the point (1, 7) B is the point (6, 7) The line AB is mapped onto the line PQ by the translation ( 0 ; -5 ). [Figure 15]
Express as a single matrix ( 1 -3 ; 1 0 ) - ( 1 -2 ; 2 -5 ).
Factorise completely 3 - 12a².
ε = { x : x is an integer, 40 ≤ x ≤ 50 } P = { x : x is a prime number } Q = { x : x is a multiple of 6 }
In the diagram, A, B, C and D lie on the circle, centre O. AD is a diameter. The tangent to the circle at B meets the line DA produced at T. AOB = ...
Four oil-rigs are positioned at the vertices of a rectangle ABCD . The bearing of B from A is 040°. [Figure 20]
[Figure 21] On the grid, shade the region, R, given by these inequalities. 1 ≤ x ≤ 5 ; 2 ≤ y ≤ 4
The diagram shows the lines AB and BC. [Figure 22]
Kim and Lee run a 2000 metre cross-country course that starts at P and ends at Q. Lee starts 1 minute after Kim. Their distance-time graphs are sho...
The diagram shows triangles A and B. [Figure 24]
A bag contains 5 balls, of which 3 are red and 2 are blue. One ball is taken, at random, from the bag and is not replaced. If this ball is red, ano...
A pattern of numbers is given below. Row 1: 1/(1×2) = 1/1 - 1/2 Row 2: 1/(2×3) = 1/2 - 1/3 Row 3: 1/(3×4) = 1/3 - 1/4 Row 4: 1/(4×5) = 1/4 - 1/5
Evaluate (1.3 + 2.9) / 0.2.
Evaluate 2 1/4 × 1/5.
Write these numbers in order of size, starting with the smallest: 13/20, 0.7, 7/12, 0.64, 5/8.
The diagram shows a trapezium with lengths in centimetres. The area of the trapezium is 120cm². Find the value of b. [Figure showing trapezium with...
A bag contains red counters, blue counters and yellow counters. There are 60 counters in the bag. The probability that a counter taken at random fr...
Fariza travels from London to Astana. The time in Astana is 5 hours ahead of the time in London, so when it is 1000 in London the local time in Ast...
By writing each number correct to one significant figure, estimate the value of 29.3² / (2.04 × 0.874).
y is inversely proportional to the square of x. Given that y = 24 when x = 2, find y when x = 8.
The Venn diagram shows the sets A, B and C. List the elements of A U B. [Figure 8]
The Venn diagram shows the sets A, B and C. List the elements of B' ∩ C. [Figure 8]
Write 0.00000521 in standard form.
Giving your answer in standard form, evaluate (6 × 10^7) × (5 × 10^-3).
These two triangles are congruent. The lengths are in centimetres, correct to the nearest 0.1 cm. Find p. [Figure showing two congruent triangles]
The diagram shows the line y = 2x + 1. The point P has coordinates (a, b) where a and b are both positive integers. The values of a and b satisfy t...
Omar has a pack of number cards. He picks these five cards: -2, -4, -2, 4, 1. Write down the mode of the five numbers.
Omar takes another card from the pack. If the mean of the six numbers is -1, what number did he pick?
Omar takes another card from the pack. If the difference between the highest and lowest of the six numbers is 12, what are the two possible numbers...
Express 60 as a product of its prime factors.
Find the smallest possible integer m such that 60m is a square number.
The lowest number that is a multiple of both 60 and the integer n is 180. Find the smallest possible value of n.
In triangle ABC, AB = 5 cm and AC = 6 cm. Measure angle BAC in your triangle.
Given the formula c = √(8a - 3b), find c when a = 3 and b = -4.
Rearrange the formula c = √(8a - 3b) to make b the subject.
Evaluate 2⁰ + 2³.
Evaluate (1/9)^(1/2).
Simplify (4x²)^-2.
The matrix [4 0; 0 1] represents the transformation T. Describe fully the transformation T.