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.
Use a straight edge and compasses only in this question.
Write 108 as the product of its prime factors.
In 2017, the population of Egypt was 97500000. Write this population in standard form.
The shaded region is defined by three inequalities. Find these three inequalities.
Q ⊂ P P ∩ R = Ø Complete the Venn diagram to show sets Q and R.
Here are the first four terms of a number sequence. T₁ = 1² + 3 = 4 T₂ = 2² + 8 = 12 T₃ = 3² + 13 = 22 T₄ = 4² + 18 = 34
The diagram is the speed-time graph for part of a car's journey.
Vectors p and q are shown on the grid. On the grid, draw the vector
A plan of a house is drawn to a scale of 1 : 50. On the plan, the floor area of the kitchen is 30 cm². Calculate the floor area of the real kitchen...
Simplify (2x²)-³/x⁵.
f(x) = 4(3-x) g(x) = 5(3x-2)/x
Express as a single fraction in its simplest form.
P is the point (h, 7). P lies on the line 3y + 2x = 5.
A = (2 0 / -3 -1) Evaluate 2A - (-5 4 / 0 3)
Stefan had an annual income of $21500 in 2018. His annual income increased to $22790 in 2019. Calculate the percentage increase.
The length of a rectangle is 6cm more than its width, wcm. The perimeter of the rectangle is 37 cm. Form an equation in w and solve it to find the ...
A light, L, is fixed on a building 8 m above the base, B, of the building.
The table summarises the time, m hours, that each student in a year group spent listening to music in one day. Some of the results are shown on the...
Solve these simultaneous equations. Show your working. 2x-4y = 11, 3x+3y = -6
[Figure 6.1, Cards showing '5', '2', '4', '6', '3'] Two of these cards are chosen at random. They are placed next to each other to give a two-digit...
The table shows some values for y = 4^x . [Table] x: 0, 0.5, 1, 1.5, 2, 2.5, 3. y: [blank], [blank], 4, 8, 16, 32, 64.
A birthday cake is in the shape of a cylinder. There are two layers of cake and one layer of icing. Each layer of cake has radius 10 cm and height ...
[Figure 9.1] EMF and GLNH are parallel lines. LM = LN and GÎM = 126°. Find FMN. Give a reason for each step of your working.
[Volume of pyramid = 1/3 × base area × height] ABCDE is a rectangular-based pyramid. AC and BD intersect at F. EF is perpendicular to FC. AD = 10cm...
[Figure 11.1, Graph with triangles A, B, C] Describe fully the single transformation that maps triangle A onto triangle B.
Work out. 74.6×10-3.89 × 100
15 125 √8 11 √25 14 60 From the numbers above, write down
Work out 3/7 + 2/5.
A record is kept of the water level in a harbour. One morning, the level is 5m. That afternoon, the level is -2m. Find the difference between the l...
The diagram shows quadrilateral ABCD with AD extended to E. Angle BCD = 135°, angle BAD = 83° and angle CDE = 122°. Find the value of x. [Figure 5]
Write 308 as a product of its prime factors.
The diagram shows trapezium ABCD. AB = 7 cm and DC = 10cm. The area of ABCD is 85 cm². The perpendicular height of the trapezium is hcm. Find the v...
Simplify 6x+15-2x+8.
Insert the correct symbol =, > or < to make each statement correct.
By writing each number correct to one significant figure, estimate the value of 362.4-187.2 52.3
In a survey, 3 out of every 100 women were taller than 1.9m. One of these 100 women is picked at random. Calculate the probability that she is not ...
Bernard bought a game in the USA for $15. Alice bought the same game in Zambia and paid the equivalent price in Zambian kwacha (ZK). Exchange Rate ...
Two numbers x and y are such that • x:y = 5: 11 and • x+y = 112. Find x and y.
This is the term-to-term rule for a sequence. Multiply by 2 and add 3 The first three terms in this sequence are 1, 5 and 13. Write down the next t...
Two villages, Foxby and Glanton, are joined by a footpath and a road. [Figure 15]
Triangles A, B and C are drawn on the grid. [Figure 16]
The diagram shows an isosceles triangle ABC where AB = AC. D is a point on AC such that angle ADB = 90°. E is a point on AB such that angle AEC = 9...
Solve the simultaneous equations. Show your working. x+6y = 0 3x-2y = 10
y is proportional to (x−1)². Given that y = 18 when x = 4, find y when x = 6.
The line 2y = x is drawn on the grid. [Figure 20]
Factorise. 3cx+2bx- 6cy – 4by
A car has a mass of 2400kg, correct to the nearest hundred kilograms. A caravan has a mass of 1460kg, correct to the nearest ten kilograms. Calcula...
a = b²+c / d Find a when b = 4× 10², c = 6×10³ and d = 2×10². Write your answer in standard form.
M = (5 1 / 2 3) N = (4 -2 / 3 0) Find M-N.
The diagram shows a circle centre C (0, 1). P (3, 5) is a point on the circumference of the circle. Find the equation of the tangent at P. [Figure 25]