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.
On the Venn diagram, shade the region represented by (A∩B)'. [Figure showing a Venn diagram with sets A and B within universal set E]
Simplify. 7x²y⁵ / x³y²
Zaya invests $4500 in a savings account. The account pays simple interest at a rate of 3.2% per year. Calculate the value of the investment at the ...
Factorise. 7hx + 6fy - 21fx - 2hy
A bag contains 9 red counters and 3 green counters. Lee takes two counters from the bag at random without replacement. [Figure showing an incomplet...
PQRS is a cyclic quadrilateral. APB is a tangent to the circle at P. Angle SPB = 37° and angle PSQ = 85°. [Figure showing a circle with cyclic quad...
These are the first four patterns in a sequence made from black beads and from white beads. [Figure showing Pattern 1, Pattern 2, Pattern 3, Patter...
The population of Kenya is 5.71 × 10⁷ people. The area of Kenya is 6 × 10⁵ km². The population density is the number of people per km². Calculate t...
f(x) = (10-x)/3. Find f(-8).
300 students take part in a competition. The table shows information about their scores. Score (s) | 0 < s ≤ 30 | 30 < s ≤ 40 | 40 < s ≤ 60 | 60 < ...
Complete the table of values for y = x³ - 5x + 4. x | -3 | -2 | -1 | 0 | 1 | 2 | 3 y | ? | 6 | 8 | 4 | 0 | 2 | 16
ABCD and EFGD are rectangles. [Figure showing two rectangles, EFGD enclosing ABCD, with dimensions labelled as x, 2x-3, x+3, x-2]
The diagram shows a solid formed by joining a cone to a hemisphere. The diameter of the cone is 14 cm and the diameter of the hemisphere is 14cm. T...
The diagram shows a triangular field ABC. AB = 150m, BC = 187m and angle ABC = 112°. [Figure showing triangular field ABC]
Zara cycles a distance of 500 metres, correct to the nearest 5 metres. This takes 24.7 seconds, correct to the nearest 0.1 seconds. Calculate the l...
Express as a single fraction in its simplest form. 5/(2x+1) - 2/(4x-3)
Write 4.2358 correct to 2 decimal places.
A rectangle has dimensions 2.4 cm by 5.6 cm. The rectangle is enlarged by a scale factor of 3.25 . Work out the dimensions of the enlarged rectangle.
Ang and Bou share $104 in the ratio 7:6. Calculate the amount they each receive.
Shade one small square so the diagram has rotational symmetry of order 2.
Write 6300 cm in metres.
Simplify. 5a+3b+2a-7b
Write down all the integer values of x that satisfy the inequality. -3 ≤ x < 1
A bag contains 4 black tiles and 6 white tiles. A tile is chosen at random from the bag and is then replaced. A second tile is then chosen at random.
Ameerah invests $480 in a savings account. The account pays simple interest at a rate of 3.6% per year. Calculate the value of the investment at th...
f(x) = 3x-5 g(x) = 2-6x Find f(2) .
ε = {2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} A = {x:x is a prime number} B = {x:x is a factor of 36}
These are the first four terms of a sequence. 16 13 10 7
Write 1.23 × 10⁻⁴ as an ordinary number.
Factorise. 5x² + 15xy
Find the three inequalities that define the unshaded region, R.
The table gives information about the ages of the 80 members of a gym. Age (a years) | 16 < a ≤ 18 | 18 < a ≤ 24 | 24 < a ≤ 40 | 40 < a ≤ 100 Frequ...
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.