Cambridge & Pearson Edexcel Past Paper Questions

The diagram shows triangle A and octagon B.

A, B, C and D are points on the circumference of a circle, centre O. The diameter AC intersects BD at E. BDC = 2x°.

One day, two brothers, Zac and Tom, leave their home at different times. They meet at the library before going to the swimming pool. The travel gra...

In 2013, Mary worked for Company A. Her salary for the year was $18750. The rate of exchange between pounds (£) and Indian rupees (R) is £1 = R87.2...

[Figure 2.1] A, B, C and D are points on the circumference of the circle and AC is a diameter. AFBE and DCE are straight lines. DF is perpendicular...

[Figure 3.1] In a game, when it is Mary's turn, she spins each of these fair spinners once. Mary's score for the turn is worked out using the formu...

[Figure 4.1] The diagram shows a solid triangular prism. The dimensions are in metres. [Figure 4.2] The diagrams show the cross-sections of a ramp...

[Figure 5.1] The diagram shows the perimeter of a 400 m running track. It consists of a rectangle measuring 100m by d metres and two semicircles of...

ABCD is a field in the shape of a trapezium. ABC = 56°, BÂD = 104° and the distance between the parallel sides of the field is 90m.

[Figure 7.1] In the triangle ABC, D divides AB in the ratio 3 : 2, and E divides AC in the ratio 3 : 2. AD = a and AE = b. [Figure 7.2] Triangle A...

T = 2π√(h/g) Find T when h = 125 and g = 981.

[Figure 9.1] In triangle ABC, AB = 4m, BC = 6m and ABC = 67°. [Figure 9.2] In triangle PQR, PQ = 5m and QR = 7m. Area of triangle PQR = Area of tr...

[Table 10.1] The table below is for y = x² - 4x − 1. x | -2 | -1 | 0 | 1 | 2 | 3 | 4 | 5 | 6 y | | 4 | -1| -4| -5| -4| -1| 4 |

[Table 11.1] 100 students were each asked how long they spent talking on their mobile phone dur The results are summarised in the table. Time (t mi...

Work out 12 + 6 ÷ 3 + 1 × 5.

ABCD is a quadrilateral with BC parallel to AD. CD is perpendicular to BC. BC = 5 cm and AD = 12 cm. The area of triangle BCD is 20cm². [Figure wit...

A number written as the product of its prime factors is 2² × 5² × 7.

The exchange rate between pounds (£) and dollars ($) is £1 = $1.60 .

The diagram shows a square PQRS and a right-angled triangle PST. The area of the square is 50cm². ST = √34 cm. Calculate PT. [Figure showing a squa...

Write 30682 correct to three significant figures.

Paul takes examinations in Maths and Physics. The probability that he passes Maths is 0.7 . The probability that he passes Physics is 0.6 . The res...

cos y° = -0.54 where 90 < y < 180 One solution of the equation cos x° = 0.54 is x = 57, correct to the nearest whole number. Find y correct to the ...

Given that p is directly proportional to q, find the value of r. [Table: p | 27 | 33; q | 9 | r]

Here is a list of numbers. -8 -5 -3 -2 0 2 4 9

An empty box has a mass of 0.8kg correct to the nearest 0.1 kg.

A group of five numbers has a mean of 3.8 and a median of 3. The numbers 3 and 6 are added to the group.

Each member of a group of 50 people was asked how many films they watched in a month. The results are shown in the table below. [Table: Numbers of ...

Evaluate 9^(-1/2).

4 = √(cx + 1) / (dx - 1) Find x in terms of c and d.

The mass of a dust particle is approximately 0.0000753 g. Write this mass in standard form.

f(x) = 5 + x². Find t given that f(3 - t) = 9.

A sequence of patterns is made using dots and lines. [Figure showing Pattern 1, Pattern 2, Pattern 3 made of dots and lines, and a table: Pattern n...

The land region shown has wheat storage depots at A, B and C. [Figure showing an irregular land region with points A, B, C and a North arrow.]

The diagram shows the first 15 seconds of a car's journey. The car starts from rest. The acceleration of the car from t = 0 to t = 5 is 4m/s². The ...

The table shows the masses of different fruits sold at a market stall on one day. [Table: Fruit | Apples | Pears | Oranges | Bananas | Total; Mass ...

Expand and simplify 10 - 3(3x - 2).

A group of 15 adults and 12 children are going on a coach to a concert. The tickets for the coach cost $a for each adult and $c for each child. The...

P, Q, R, S and T are points on the circumference of a circle. PQ = QR. ∠PQR = 118° and ∠QRS = 99°. Find PTS. Show all your working. [Figure of a cy...

ABCD is a parallelogram. BEF and CDF are straight lines. AB = 4 cm, DF = 2 cm and AE = 5 cm. [Figure: Parallelogram ABCD, with point E on AD, F suc...

Evaluate 0.09 ÷ 10.

Evaluate 8.94 × 0.201.

Solve a problem for which the answer is 12.

Calculate the value of 3/5 or -0.6.

Evaluate 0.0505.

Write down a matrix with elements -2, -1, -1, 5.

Draw a diagram representing a specific configuration, where one hexagon is shaded and one is marked 'X'.

List the elements d, a, b, e, c in the correct order.

Find the value of 55.

Express a number as 4.5 × 10^-6.

Find the value of 1.