Cambridge & Pearson Edexcel Past Paper Questions

Write down the inequality represented on the number line. [Figure: number line with open circle at 3 and arrow pointing right]

Point A and point B are plotted on the grid. [Figure: Cartesian grid with points A(-2,1) and B(4,3) plotted]

Sara has a bag containing 60 red counters, 72 blue counters and 36 green counters. Find the ratio of red counters : blue counters : green counters ...

Work out. 1 2/5 ÷ 3/10 Give your answer as a mixed number in its simplest form.

Shape A and shape B are drawn on the grid. [Figure: Cartesian grid with Shape A (triangle at (1,2), (1,3), (2,3)) and Shape B (triangle at (-4,-1),...

Luca has these two fair spinners. [Figure: Spinner A with numbers 2, 4, 6, 8. Spinner B with numbers 1, 1, 3, 5]

Thomas works in a shop. He is paid $12 for each hour he works. He is also paid a bonus of 5% of the value of the items he sells. One day, Thomas wo...

A, B, C and D are points on a circle, centre O. EF is a tangent to the circle at A. Angle BAF = 65° and angle AOD = 80°. Find angle BCD. Give a geo...

Complete the table for y = x³ - 4x² + 12. [Table with x values -2 to 4, and y values -12, 7, 12, 9, 4, 3 filled in, missing y for x=0, x=1, x=2, x=...

Expand and simplify. (3+√2)(1+4√2)

Triangle ABC is similar to triangle PQR. [Figure: Triangle ABC with AB=6cm, AC=7cm. Triangle PQR with PQ=9cm. Angle at B and Q marked same, angle a...

The diagram shows a solid cylinder and a solid hemisphere. [Figure: Cylinder with height 6cm. Hemisphere. NOT TO SCALE] The radius of the cylinder ...

Evaluate 16^(-3/4).

f(x) = ax + 3 g(x) = (x+b)² a and b are positive integers.

OPQR is a parallelogram. OP = a and OR = 2b. M is the midpoint of QR. N is a point on PQ and PN : NQ = 1 : 3. [Figure: Parallelogram OPQR. Vectors ...

Ade and Maha make cards. One day they each work for 4 hours making cards. Ade takes x minutes to make one card.

The diagram shows a square-based pyramid. X is the centre of the square base. Vertex E is vertically above X and EX = 7 cm. The perpendicular heigh...

From the list, write down 52 √169 27 √8 12/23 49

Insert one set of brackets to make the calculation correct. 4.2 - 3 x 5 + 1.2 = 7.2

In this question, all lengths are in centimetres. The diagram shows the net of a cuboid. [Figure showing a net of a cuboid with dimensions 3, 5.2, ...

The table shows the examination marks for mathematics and physics for each of 9 students. [Table with Mathematics mark and Physics mark] [Scatter d...

The diagram shows an isosceles triangle. [Figure of an isosceles triangle with a top angle of 56°, base angles marked with x and an exterior angle ...

Work out. (12 - √6) / 0.3² Give your answer correct to 2 decimal places.

Work out the size of the interior angle of a regular decagon.

John invests $240 in an account that pays simple interest at a rate of 2.35% per year. Calculate the total amount of interest he receives at the en...

The exchange rate between euros (€) and pounds (£) is €1 = £0.88 . The exchange rate between dollars ($) and pounds (£) is $1 = £x. Ling changes €5...

Here are the first four patterns in a sequence using dots. [Figure showing 4 patterns of dots] Pattern 1 Pattern 2 Pattern 3 Pattern 4

A is the point (-4, 3) and B is the point (2, -7).

Write 0.0142 in standard form.

Solve the simultaneous equations. You must show all your working. 2a + 5b = 1.5 3a - 10b = 42.5

The population of a country increases exponentially at a rate of 3.6% per year. On 1st January 2024 the population of the country is 5.4 million. C...

x = 2² × 3ⁿ⁺¹ × 7 y = 2ⁿ × 3² × 7⁴ n is a positive integer greater than 2. Find the highest common factor (HCF) of x and y. Write your answer as th...

A is the point (3, -2) and B is the point (5, 4).

The table shows the times taken by 80 people to complete a race. [Table with Time (t minutes) and Frequency]

Write as a single fraction in its simplest form.

A car travels 320 km, correct to the nearest 10 kilometres. This journey takes 5.2 hours, correct to the nearest 0.1 hour. Calculate the lower boun...

The diagram shows a triangular field, ABC. AB = 65 m, AC = 75 m and angle CAB = 125°. [Figure of triangle ABC]

Rearrange the formula to make a the subject. w = (2a+5) / (3a-1)

Sketch the graph of y = 2-3x. [Empty axes]

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

Expand and simplify. (x-1)(x+3)(3x-4)

The diagram shows a cuboid. EH = 12 cm, HG = 10 cm and GC = 7 cm. [Figure of a cuboid named ABCDEFGH]

Work out 75.66-40.23 / 2.19. Give your answer correct to 2 decimal places.

These are the scores for 12 students in a quiz. 16 27 20 15 25 21 10 24 35 16 32 22

Idris has 5 kg of rice. He cooks rice for 12 people. He uses 75 g of rice for each person. Work out how much rice Idris has left over. Give your an...

In triangle ABC, AB = 8.5 cm, AC = 6cm and BC = 7 cm.

Sofia invests $400 in a savings account. The account pays simple interest at a rate of 2.8% per year.

The scale of a map is 1: 5000. The length of a path on the map is 8.3 cm. Work out the actual length of the path. Give your answer in metres.

Factorise. 20x² - 5xy

Expand and simplify. 4(3x+2)+5(x+1)