Cambridge & Pearson Edexcel Past Paper Questions

On Monday, 40 adults and 20 children visit a museum. On Tuesday, 30 adults and 35 children visit the museum. The cost of an adult ticket is $2.50 a...

Here are the first four terms of a sequence. 12/16 17/25 22/36 27/49 Find an expression for the nth term of the sequence.

Write x² + 10x + 6 in the form (x+a)² + b.

Express as a single fraction in its simplest form. 3/(x-7) + 2/(x+5)

Triangle A and triangle B are drawn on the grid. [Figure 23.1]

A group of office workers are each asked to record the distance, d kilometres, they travel to work. The results for some of their journeys are show...

The algebraic fraction (2x² - 5x + a) / (x² - 16) can be simplified to give (2x + b) / (x + 4). Find the value of a and the value of b.

In 2019 Nicole's annual income was $22000.

A survey recorded the number of people living in each of 50 houses. The bar chart shows the results. [Figure 2.1]

p = (3q+5)/r² Calculate p when q = 15 and r=-4.

The diagram shows a sketch of quadrilateral ABCD. [Figure 4.1] Construct an accurate drawing of ABCD. AC has been drawn for you.

Shade the subset A'∩B∩C. [Figure 5.1]

f(x) = 2x+3 g(x) = (12-3x)/5

y = 2x+1 y = 2x-1 y=-2x+1 y=-2x-1 The diagrams below show sketches of two of these lines. Write the correct equation below each diagram. [Figure 7.1]

P, Q and R are points on the circumference of a circle, centre O. Angle POQ = 8x°, angle RPO = x° and angle OQR = 24°. Calculate angle PQO. [Figure...

The cumulative frequency diagram shows the marks obtained by 80 students in a Maths test. [Figure 9.1] Use the diagram to find an estimate of the m...

AB = (-3, 5) Calculate |AB|.

The price of an electric drill is $78. In a sale, the price is reduced by 15%. Calculate the sale price.

The table shows the midday temperature and the number of cups of hot chocolate Natcha sells on each of ten days. Midday temperature (°C) 18 9 4 28 ...

Simplify 4a-b+6b-7a.

100 adults in a town were surveyed about the number of emails they each received one day. The table shows the results. Number of emails 1 2 3 4 5 6...

Use set notation to describe the subset shaded in the Venn diagram. [Figure 5.A]

PQR is an isosceles triangle with PR = QR. P is the point (1, 5) and Q is the point (5, 1). Angle PRQ is not a right angle. Find the coordinates fo...

A rectangular field measures 30m by 45 m. Calculate the perimeter.

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

[Volume of a cone = 1/3 πr²h] [Curved surface area of a cone = πrl] A cone has radius 6 cm and slant height l cm. The total surface area of the con...

A, B and C are points on the circumference of a circle, centre O. OBD is a straight line and angle ABD = 130°. Find angle ACB, giving a reason for ...

A bag contains 12 balls. There are x black balls in the bag and the other balls are white. Two balls are taken at random from the bag without repla...

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

Work out. 2/3 + 1/6

Asha asks a group of students about their favourite fruit. The table and pictogram show some of the results. Fruit Apple Banana Orange Melon Freque...

[Figure with a coordinate grid, line L, points A(1, 2) and B(3, 1)] A and B are vertices of a quadrilateral. Line L is the line of symmetry of the ...

The temperature inside Luke's house is 18°C. The temperature outside his house is -3 °C. Find the difference between these temperatures.

The scale drawing shows the positions of two villages, A and B. The scale is 1 cm to 2 km. [Figure with North arrows and points A and B, and a scal...

Kabir invests $250 in a savings account. The account pays simple interest at a rate of 1.5% per year. Calculate the total amount of interest he wil...

The area of the rectangle is 9 cm². The area of the triangle is 85 mm². Calculate the shaded area. Give your answer in cm². [Figure showing a recta...

The diagram shows a pentagon. Find the value of a. [Figure of a pentagon with interior angles 110°, 125°, 65°, 95° and a°]

Shani makes a sequence of patterns using counters. [Figure showing Pattern 1 (5 counters), Pattern 2 (8 counters), Pattern 3 (11 counters)]

A bag contains red balls, blue balls and green balls. The ratio red : blue = 3 : 8. The ratio green : blue = 2 : 5. Work out the fraction of the ba...

[Figure of quadrilateral PQRS]

Write 0.00203561 correct to 3 significant figures.

Evaluate (√9 × √64)².

Write these numbers in order of size, starting with the smallest. 2000 0.002 2×10⁻⁴ 2×10⁻²

y is directly proportional to (x−1)². When x = 5, y = 32. Find the value of y when x = -2.

The graph of y = x³/5 - 3x + 2 is drawn on the grid. [Figure of y = x³/5 - 3x + 2 on a coordinate grid]

Ryan says: Each diagonal of quadrilateral Q divides it into two congruent isosceles triangles. Draw a ring around each of the quadrilaterals in the...

f(x) = 3x-7 Find f⁻¹(x).

ε = {a, b, c, d, e, f, g, h, i, j} P = {a, e, i} Q = {f, g, h, i, j} R = {c, d, e, f, g}

[Figure of a circle with center O, points A, B, C, D on circumference. Angle DOC = 70°, Angle OAD = 25°]

Factorise 4x² + 5x - 6.