Cambridge & Pearson Edexcel Past Paper Questions

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.

The transformation T maps triangle A onto triangle B. The area of triangle B is x cm². Find, in terms of x, the area of triangle A.

Factorise completely p²q - pq.

Factorise 5x² + x - 4.

Hence solve 5x² + x - 4 = 0.

Luis works in an office. For normal time he is paid $8 per hour. For overtime he is paid the same rate as normal time plus an extra 50%. One month ...

Sara invests $240 in an account that pays 3% per year simple interest. She leaves the money in the account for 5 years. Work out how much money Sar...

The times taken for 200 people to complete a 5km race were recorded. The results are summarised in the cumulative frequency diagram. Use the diagra...

It was found that the recording of the times was inaccurate. The correct times were all one minute more than recorded. Write down the median and in...

Express as a single matrix: 3[1 3; -2 5] - [4 0; -1 2].

Given matrix A = [3 -2; p -1]. The determinant of A is 2. Find p.

Given matrix A = [3 -2; p -1] and the determinant of A is 2. Find A^-1.

Section A [52 marks] Answer all questions in this section. (a) A furniture salesman earned $36200 last year.

Q is the point (−1, 2), R is the point (3, 10) and S is the point (–4, 2).

[Figure ABCD] In trapezium ABCD, AB is parallel to DC. DB and AC are straight lines. Explain why the area of triangle ACB = the area of triangle ADB.

[Figure of cone/hemisphere] [The volume of a cone = (1/3)πr²h] [The volume of a sphere = (4/3)πr³] A solid is formed by joining a cone of radius 4....

[Figure ABCDEF] In the framework ABCDEF, BCD is a straight line, and CA is parallel to DF. ABD, BÔIDE and DÊF are right angles. AB = 4m, DE = 11 m ...

Expand the brackets and simplify (x - 1)(x²+x + 1).

Section B [48 marks] Answer four questions in this section. Each question in this section carries 12 marks. (a) (i) Evaluate (8 sin 54°) / (sin 18°).