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.
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 =...
In the diagram, B is the point (8, 2). The equation of the line AB is y = 2 and the equation of the line AC is 2x - y = 3. BC produced passes throu...
Simplify (3a⁴)².
A regular polygon has interior angles of 160°.
A series of shapes, made of matchsticks, is shown below. [Figure 20.1] Shape 1 Shape 2 Shape 3 Shape 4
The time taken to fill a tank with water varies inversely as the area of cross-section of the The time taken is 40 minutes when the area is 3 cm².
A = (5 2 \ -1 1) Find the determinant of A.
Ali and Ben each made a journey between two towns, P and Q, that are 60 km apart. These two journeys are shown on the travel graph. [Figure 23.1]
In the diagram, ABCD is a parallelogram. P is the midpoint of BC. DQ: QP = 1 : 2. AB = p and AD = q. [Figure 24.1]
The diagram below shows quadrilateral ABCD. [Figure 25.1]
In the diagram, AB touches the circle, centre O, at T. OB intersects the circle at C. [Figure 26.1]
Evaluate 3 2/5 - 2 5/6.
Evaluate 0.7 + 0.2 × 0.3 .
Alice and Brenda share $300 so that Alice's share : Brenda's share = 3 : 7. How much more does Brenda receive than Alice?
Arrange these lengths in order of size, starting with the smallest. 2300 mm 220 cm 0.021 km 2 1/4 m
Pierre goes on a holiday from France to the UK.
Write the number 0.000034 in standard form.
Estimate, correct to the nearest whole number, the value of sqrt(72.187 / pi). Show clearly the approximate values you use.
The mean mass of Ali, Ben and Carl is 40 kg. The mass of Dan is 48 kg. Find the mean mass of the four boys.