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.
The transformation T maps triangle A onto triangle B. The area of triangle B is x cm². Find, in terms of x, the area of triangle A.
Factorise completely p²q - pq.
Factorise 5x² + x - 4.
Hence solve 5x² + x - 4 = 0.
Luis works in an office. For normal time he is paid $8 per hour. For overtime he is paid the same rate as normal time plus an extra 50%. One month ...
Sara invests $240 in an account that pays 3% per year simple interest. She leaves the money in the account for 5 years. Work out how much money Sar...
The times taken for 200 people to complete a 5km race were recorded. The results are summarised in the cumulative frequency diagram. Use the diagra...
It was found that the recording of the times was inaccurate. The correct times were all one minute more than recorded. Write down the median and in...
Express as a single matrix: 3[1 3; -2 5] - [4 0; -1 2].
Given matrix A = [3 -2; p -1]. The determinant of A is 2. Find p.
Given matrix A = [3 -2; p -1] and the determinant of A is 2. Find A^-1.
Section A [52 marks] Answer all questions in this section. (a) A furniture salesman earned $36200 last year.
Q is the point (−1, 2), R is the point (3, 10) and S is the point (–4, 2).
[Figure ABCD] In trapezium ABCD, AB is parallel to DC. DB and AC are straight lines. Explain why the area of triangle ACB = the area of triangle ADB.
[Figure of cone/hemisphere] [The volume of a cone = (1/3)πr²h] [The volume of a sphere = (4/3)πr³] A solid is formed by joining a cone of radius 4....
[Figure ABCDEF] In the framework ABCDEF, BCD is a straight line, and CA is parallel to DF. ABD, BÔIDE and DÊF are right angles. AB = 4m, DE = 11 m ...
Expand the brackets and simplify (x - 1)(x²+x + 1).
Section B [48 marks] Answer four questions in this section. Each question in this section carries 12 marks. (a) (i) Evaluate (8 sin 54°) / (sin 18°).
The diagram shows a sector AOB of a circle with centre O and radius 9.3 cm. The angle of the sector is 260°.
f(x) = x³ (a) Complete the following table.
One day a farmer collected 300 eggs from his chickens. The table below shows the distribution of the masses of the eggs. Mass (m grams) | 42 < m ≤ ...
(a) ABCDE is a pentagon. AFB, AHE and BGC are straight lines. F is the midpoint of AB. H is the midpoint of AE. G divides BC in the ratio 1: 2. AH ...
Section A [52 marks] Answer all questions in this section.
The diagram is a speed-time graph of a train's journey between two stations. [Figure 2.1]
(a) In a survey, 50 students were asked how long they spent exercising during one particular week. The results are summarised in the table. Time (t...
(a) A, B, C, D and E are five points on the circumference of a circle. EB is parallel to DC, EÂC = 72° and AÊB = 25° . X is the intersection of AC ...
In the diagram, AB = 8 cm, AC = 11 cm and DC = 6.5 cm. BÂD = 26° and DÂC = 30°. [Figure 5.1]
Yuvraj and Sachin travel to England. Yuvraj exchanges 20500 rupees and receives £250. Sachin exchanges 26650 rupees into pounds (£) at the same exc...
Two ports, A and B, are 15 km apart and B is due south of A. A boat sails from A on a bearing of 141°. [Figure 8.1]
(a) Factorise completely 4x³-10xy,
(a) [Figure 10.1] Describe fully the single transformation that maps triangle A onto triangle B.
(a) Some people were asked which continent they visited on their last holiday. The results are shown in the table below. Continent | Number of peop...
Evaluate 12-6÷3+4.
Evaluate 0.3 × 1.5.
Evaluate 2/3 - 5/8.
Evaluate 1/3 ÷ 7/9, giving your answer as a fraction in its lowest terms.
An aircraft leaves at 2235 on a flight that takes 3 hours and 50 minutes. Find the time when the aircraft arrives.
The aircraft flies a distance of 3200km, correct to the nearest 100km. Write down the lower bound for the distance.
A bottle full of liquid has a total mass of 1.27kg. When the bottle is half-full of liquid the total mass is 900 grams. Calculate the mass of the b...
Stella walks to a park. For 4 minutes she walks at a rate of 80 steps per minute. For 1 minute she walks at a rate of 120 steps per minute. Find th...
Write the number 0.034 × 10-3 in standard form.
Arrange the following numbers in order, starting with the smallest. 0.034 × 10-3 33.7 × 10-6 0.42 × 10-5
By writing each number correct to 1 significant figure, estimate the value of 29.2 × 8.17 / 0.396
Complete the diagram to make a quadrilateral ABCD which has AC as its line of symmetry. [Figure 8.1]
Complete the diagram to make a quadrilateral PQRS which has rotational symmetry of order 2. [Figure 8.2]
The shaded region in the diagram is defined by three inequalities. One of these is y >= 1/2 x + 2. Write down the other two inequalities. [Figure 9.1]
Factorise completely 3xy - 20 + 5x – 12y.
f(x) = 2x - 9. Find f(-3/4).
f(x) = 2x - 9. Find f-1(3).
A map is drawn to a scale of 2cm to 5km. Two towers are 9km apart. Calculate the distance between them on the map.