Cambridge & Pearson Edexcel Past Paper Questions
Browse 35,704 questions from Cambridge O-Level & A-Level and Pearson Edexcel IGCSE & IAL exams. Click any question to practice.
Points B, D, E and F lie on a circle. AC is a tangent to the circle at B. Angle BEF = 50° and EF = BF.
The diagram shows a cuboid. The length of the cuboid is x cm. The height of the cuboid is 3 times its length. The width of the cuboid is 4 cm less ...
The diagram shows triangle ABC and triangle ABD. AB = 12cm, BD = 7 cm and AD = 6cm. Angle DAC = 32° and angle BCA = 48°.
Solve. 3x/(x-1) + 4/(x+2) = 3
The width of a rectangle is 5.4 cm, correct to the nearest 0.1 cm.
The diagram shows a pyramid ABCV. The base of the pyramid is an equilateral triangle, ABC, with sides of length 34 cm. The height VO is perpendicul...
A box contains 13 pencils. There are 4 red pencils, 7 green pencils and 2 yellow pencils in the box. Two pencils are chosen at random from the box ...
Evaluate 35 – 27.3 .
Evaluate 1/3 + 3/7 .
Express 60% as a fraction, giving your answer in its lowest terms.
Evaluate 4⁰ + 4¹ .
In the diagram in the answer space, two small squares are shaded. Shade one more small square, so that the figure will then have one line of symmetry.
The length of a side of an equilateral triangle is given as 41 mm, correct to the nearest millimetre.
y varies inversely as the square of x. Given that y = 4 when x = 3, find the value of y when x = 2.
By writing each number correct to one significant figure, estimate the value of 0.387 × 7.03² / 8.11
Solve the inequality 18 – 3x < x .
The temperatures, in °C, at midnight on 12 consecutive days were -1, 0, -4, 1, 2, -2, -1, -3, 1, 2, 3, 2.
The diagram shows three parallel lines.
Remove the brackets and simplify 4(7x – 3) – 3(5x – 4) .
Factorise completely 16a² – 6a .
The speed of light is given as 3 × 10⁵ km/s. Writing each answer in standard form, calculate
The diagram shows a sector of a circle, centre O. The radius of the circle is 9 cm and the sector angle is 100°. Taking the value of π to be 3.14, ...
The lines 3y + x = 3 and y = x + 3 are shown in the diagram below.
A = (4 -3 0 \ 0 6 -2) B = (5 -4 -1 \ 0 6 2) C = (2 1)
Solve the simultaneous equations x + 2y = 8, y = 1/3 x + 9.
Two bags contain beads. The first bag contains 2 black and 3 white beads. The second bag contains 2 black, 1 white and 2 red beads. A bead is taken...
M is the midpoint of the line joining P and Q.
In the diagram, ABC is a straight line. BD = 4 cm, ∠BCD = 90° and ∠CBD = b°. Use as much information given in the table as is necessary to answer t...
The grouped frequency table below shows the times taken for 70 students to solve a prob. (Table: Time (t minutes) | 0 < t ≤ 3 | 3 < t ≤ 4 | 4 < t ≤...
Look at this pattern. 2² – 0² = 4×1 3² – 1² = 4×2 4² – 2² = 4×3 5² – 3² = 4×4
The diagram below shows triangle A and triangle B.
The diagram is the speed-time graph of the last 25 seconds of a car's journey. From t = 0 to t = 20 the car moves with a constant speed of 4 m/s. F...
The diagram shows triangle ABC. D is the point on AB such that ∠BCD = ∠BAC.
The diagram below shows triangle ABC.
Evaluate 3 + 5(3 – 1.4) .
Evaluate 3 2/3 - 2 4/5 .
Write the following numbers in order of size, starting with the smallest. 0.67, 7/9, 2/3, 66%
Add 55 minutes to 2.4 hours, giving your answer in hours and minutes.
Given that f(x) = (2x + 3) / (5x) , find f⁻¹(x).
By making suitable approximations, estimate the value of 304.3 × √15.98 / 0.1975
Find the values of x and y, where 2(x 7) = 3(3 -2) - (-4 y).
A large tank contained 2.3 × 10⁶ litres of oil. During a 4 week period, 1.2 × 10⁵ litres were used.
It is given that 13 < 7 - 2x < 18 has the solution a < x < b. Find the values of a and b.
Factorise completely 2xy – 3x – 10y + 15 .
parallelogram rhombus rectangle square Which of these quadrilaterals have
The diagram shows a thermometer, with a circular dial, that records temperatures in °C. [Figure 12.1]
A map has a scale of 2 cm to 5 km.
The table shows the results when a 6-sided die was thrown 50 times. Score 1 2 3 4 5 6 Frequency 7 7 6 9 11 10
E = { x :x is an integer and x > 5 } P = { x :x is a prime number } F = { x :x is a multiple of 4 } S = { x : x is a multiple of 6 } The Venn diagr...
The diagram shows a solid prism of length 20 cm. The cross-section, ABCD, is a trapezium. AB = 2 cm, BC = 5 cm, CD = 6cm, DA = 3 cm and angle ADC =...