Cambridge & Pearson Edexcel Past Paper Questions

T = (2 7 / 1 5) Find T⁻¹.

c = (3b² - 2a) / 5 Rearrange the formula to make b the subject.

A line segment, AB, joins A (3, 2) to B (−1, 10).

Jim plays for his local football team. The probability that Jim plays in the next match is 0.7. If Jim plays in the match, the probability of his t...

The diagram shows triangle ABC. D is a point on AC such that angle BDC = angle ABC. [Figure of triangle ABC with point D on AC]

On the Venn diagram, shade the region represented by B'∩A. [Figure of Venn diagram with sets A and B]

Shapes A and B are drawn on the grid. [Figure of a grid with shape A and shape B drawn]

Solve the simultaneous equations. Show your working. 2x + 3y = 4 3x + 2y = 11

Solve the equation (2x+1)(x+4) = 22.

Evaluate 4/7 ÷ 5/8.

Use a straight edge and compasses only in this question. Construct the locus of points inside quadrilateral ABCD that are equidistant from AB and B...

The height of water, in cm, in a river is recorded every week for 10 weeks. The heights of the water, compared with its normal level, are listed be...

By writing each number correct to one significant figure, estimate the value of 71.8 - 32.4 0.198²

Lamps are made in a factory. A random sample of 50 of the lamps is tested and 4 of them are found to be faulty. A total of 4000 lamps is made in on...

Daniel earns $760 each month. He pays 15% of his earnings in tax. Calculate the amount of money Daniel has each month after paying tax.

Find the fraction that lies exactly halfway between 3/5 and 3/4.

A drink is made by mixing fruit juice and water in the ratio 3 : 5. The drink is made using 2 litres of water. Calculate the amount of fruit juice ...

A car starts a journey from rest. It moves with constant acceleration for 20 seconds until it reaches a speed of 15 m/s. It then moves at a constan...

Use set notation to describe the shaded region in the Venn diagram. [Figure Venn diagram]

Solve the simultaneous equations. Show your working. 9x + 4y = -5 6x - 2y = 6

Write these numbers in order of size, starting with the smallest. 2.1 × 10⁻³ 4.2 × 10⁻⁴ 1.7 × 10⁻⁵ 3.5 × 10⁻⁴

Expand and simplify (x - 3)².

Write x² - 7x + 5 in the form (x - a)² - b.

Write 168 as a product of its prime factors.

[Figure grid with Triangle A and Triangle B] Triangle A and triangle B are drawn on the grid.

Nima has these six cards. Each card has a shape on it. [Figure showing 4 circles and 2 triangles] She takes two cards at random without replacement.

r = (4p + 2) / (3 - p) Find r when p = -2.

y is inversely proportional to the square of x. When x = 4, y = 10.

Simplify. (9x⁷y / x⁵y⁹)½

A cuboid has a square base. The length of the base of the cuboid is y cm. The height of the cuboid is twice the length of its base. The total surfa...

Here are the first three patterns in a sequence made using dots and lines. [Figure of Pattern 1, Pattern 2, Pattern 3]

The diagram shows two circles, both with centre O. The radius of the small circle is 3 cm and the radius of the large circle is 6 cm. The minor sec...

[Figure of circle with points A, B, C, O, P, Q] A, B and C are points on the circle centre O and AB = BC. P is the midpoint of chord AB and Q is th...

P = (4 0 / -2 3) Q = (1 -2 / 0 -1) Evaluate PQ.

In 2017, Lauren had a monthly income of $1800.

Ten boys ran in a 100m race and a 200m race. The table below shows their times in seconds. Time for 100 m race | 12.3 | 14.1 | 15.1 | 16.7 | 13.0 |...

B P 58° A R S A C 47° E D PBQ and RACS are parallel lines. BAE and BCD are straight lines. AB = AC, QBC = 58° and AÊD = 47°.

Express as a fraction in its simplest form.

ABCD is a parallelogram. AD = 6cm, AB = 8 cm and BD = 11 cm.

Solve the inequality 10 < 3(x+1) ≤ 24.

f(x) = 5x-7 g(x) = x+4 / 3

The table summarises the distances, dm, that 80 women threw the javelin. Distance (dm) | Frequency 20 < d ≤ 25 | 6 25 < d ≤ 30 | 16 30 < d ≤ 35 | 2...

In the diagram, PQ = 4p, QR = 3q and PT=p+2q. QỦ = 2/3 QR and PT = 2/3 PS.

The diagram shows a triangular prism. All lengths are in centimetres.

The diagram shows the positions of two ports, A and B, and a lighthouse L. The bearing of B from L is 062°. AB = 13 km, BL = 14km and AL = 8km.

ELECTRONIC CALCULATORS MUST NOT BE USED IN THIS PAPER

HANGER From the word above, write down

The numbers in this sequence increase by the same amount each time. 1.4 2.3 3.2 Fill in the missing numbers.

Write 11/25 as a percentage.

The diagram shows an isosceles triangle ABC and an equilateral triangle BDE. D is the intersection of AB and CE . Angle BAC = 28°. Calculate x.