Cambridge & Pearson Edexcel Past Paper Questions

The mass of 4 cards and 3 envelopes is 85 g. The mass of 2 cards and 5 envelopes is 67 g.

Asma has this fair 8-sided spinner. [Figure showing an 8-sided spinner with sectors labeled 1, 2, 1, 2, 6, 1, 2, 1] Leon has 7 red counters, 6 gre...

P is the point (-5, 2), Q is the point (3, 7) and QR = (-4 / 6). OACB is a quadrilateral and N is a point on AB. OA = a and OB = b. OA = 2BC and B...

[Volume of cone = (1/3)πr²h] [Curved surface area of a cone = πrl] The diagram shows a paper cup in the shape of a cone. The diameter of the top of...

The diagram shows an open box in the shape of a cuboid. The height of the box is x cm. The width of the box is 5 cm more than its height. The lengt...

ABCD is a field on horizontal ground. The bearing of B from A is 070°. The bearing of D from A is 125°. C is due south of B and due east of D. AD =...

1 (a) The temperature was -2°C. The temperature decreases by 8°C. Find the temperature after this change. (b) On another day, the temperature incre...

2 Find 45% of $1.20.

3 Write these fractions in order of size, starting with the smallest. 11/12, 4/5, 27/30, 13/15

4 [Figure shows positions of two ships A and B, with North lines indicated for both. Scale: 1 cm to 30 m] The diagram shows the position of two shi...

5 (a) Write 306.248 (i) correct to 2 decimal places, (ii) correct to 2 significant figures. (b) By writing each number correct to 1 significant fig...

6 (a) Write 4×4×4×4×4 as a power of 4. (b) Simplify (√5)² (c) Simplify (2x³)⁴.

7 (a) Work out 7/8 - 3/4. (b) Work out 1 3/5 ÷ 4/7. Give your answer as a mixed number in its lowest terms.

8 Factorise 3a² + 12a.

9 (a) In the Venn diagram, shade the region represented by A ∩ B. [Figure showing two intersecting circles A and B within a universal set E] (b) Th...

10 (a) Write the number 320000000 in standard form. (b) Evaluate (2×10⁻³)/(4×10⁹). Give your answer in standard form.

11 (a) Write 120 as a product of its prime factors. (b) 315 = 3² × 5 × 7. Use this information to find the smallest integer value of n, such that 3...

12 Expand and simplify. (a) 3(2x+1)-2(4x+3) (b) (x+5)(x-3)

13 (a) The nth term of a sequence is 3n²-1. Find the first three terms of the sequence. (b) These are the first five terms of a different sequence....

14 B, C and D are points on the circumference of a circle, centre O. AB is a tangent to the circle at B. BD is a diameter and OCA is a straight lin...

15 Triangle ABC is mathematically similar to triangle DEC. AB = 12 cm, BC = 27 cm, CD = 7 cm and DE = 3 cm. [Figure showing triangles ABC and DEC, ...

16 [Figure shows a coordinate grid with a line L passing through (0,1) and (2,5). A shaded region is also shown.] (a) Find the gradient of the line...

17 The diagram shows the speed-time graph of Sam's journey from home to work. [Figure shows a speed-time graph. Speed (m/s) on y-axis (max 20), Tim...

18 b is directly proportional to the square of a. When a = 3, b = 18. Find b when a = 5.

19 ABD is an equilateral triangle. C lies on DB and AC is perpendicular to DB. Show that triangle ADC is congruent to triangle ABC. Give a reason f...

20 A farmer records the mass of each of his sheep. Some of the results are summarised in the table and illustrated in the histogram. [Table with Ma...

21 A = (3 1; -4 2) A+2B = (1 5; 10 12) (a) Find B. (b) Find A⁻¹.

22 (a) x²-6x-7 = (x+a)²+b. Find the value of a and the value of b. (b) Hence solve the equation x²-6x-7 = 0. Show your working.

23 [Volume of a cone = 1/3 πr²h, curved surface area of a cone = πrl] [Surface area of a sphere = 4πr²] A solid cone has radius y cm. The slant hei...

Work out 80÷0.02.

Put one pair of brackets into this calculation to make it correct. 4 + 4 ÷ 4 – 4 = 4

Write 7.54×10⁻⁴ as an ordinary number.

Sam has six square tiles labelled A, B, C, D, E and F. [Figure A, B, C, D, E, F of tiles] When Sam places tiles E and F side by side the resulting ...

The perimeter of a regular hexagon is equal to the perimeter of a regular octagon. Each edge of the octagon is 9 cm long. Find the length of one ed...

Work out 11/15 − 2/3

In the diagram, AD, AB and BC are three sides of a regular pentagon and DC is a diagonal of the pentagon. AB is parallel to DC. [Figure with pentag...

ABC is an isosceles triangle with AB = BC. The ratio ABC : BAC = 2 : 5. [Figure of triangle ABC] NOT TO SCALE Find ABC.

By writing each number correct to 1 significant figure, estimate the value of 47.5+36.1 64.9÷17.7

Write 420 as the product of its prime factors.

Azra has a spinner. The sections are coloured red, blue, yellow or green. The relative frequency of the spinner landing on red, blue or yellow is s...

Represent the inequality -4 < x < 2 on the number line below. [Number line from -5 to 6]

Sophie cycles 2600 metres in 12 minutes. Work out Sophie's average speed in kilometres per hour.

The scale drawing shows a plot of land, PQRS. The scale is 1 cm to 20 m. [Figure of plot PQRS with North arrow] Scale: 1 cm to 20 m

The diagram shows the points A (0, 6), B(p, 0) and C(p, 6). The equation of the line AB is 3y+4x = 18. [Figure of triangle ABC on coordinate axes] ...

P is the point (–2, 1) and Q is the point (6, 13). M is the midpoint of the line PQ.

Simplify. (x²)³

x is directly proportional to the square of (y+1). When y = 2, x = 45. Find x when y = 4.

Solve. (3x-1)/6 + (x+2)/4 = 5/3

The table shows some information about the times each of 100 children spent reading in one day. [Table with Time (t mins), Frequency, Frequency den...

f(x) = 1 + 3x/2 g(x) = 2/(1-x)