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.
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]
Write 0.45 as a fraction in its lowest terms.
Complete the description of the symmetry for each shape. [Figure 2.1] lines of symmetry Rotational symmetry of order [Figure 2.2] lines of symmetry...
A group of 60 students were each asked their favourite fruit. The results are shown in the table. Fruit | Frequency ---|--- Apple | 20 Banana | 25 ...
Write 64785491 correct to the nearest million.
Omar and Jamil share $540 in the ratio 7 : 2. Work out Omar's share.
The base of a cuboid is a square with side length 4 cm. The volume of the cuboid is 48 cm³. On the grid, complete the accurate drawing of the net o...
A bag contains coloured counters. A counter is taken from the bag at random. The table shows the probabilities of taking a counter of each colour. ...
Work out 3 2/5 - 1 3/4. Give your answer as a fraction.
The sketch shows the positions of three villages, A, B and C. A is due east of B. [Figure 9.1]
Write 270 as the product of its prime factors.
Solve the simultaneous equations. Show your working. 5x+2y = 7 2x-3y = 18
Lara goes for a cycle ride. The distance-time graph shows her journey. [Figure 12.1] Calculate Lara's average speed, in kilometres per hour, for th...
Write 0.000053 in standard form.
The length of a path is measured as 62 m, correct to the nearest metre. Write down the upper bound for the length of the path.
Use a ruler and compasses only in this question. [Figure 15.1]
(yᵏ)⁻² = y⁵ Find the value of k.
In a sale, the price of a coat is reduced by 25%. The sale price is $120. Calculate the price of the coat before the sale.
y is inversely proportional to the cube of x. When x = 1/2, y = 24.