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 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.
On the map, a town covers an area of 4cm². Calculate its actual area.
Express the scale of the map in the form 1: n.
Solve the simultaneous equations. 3x = 4y. 1 + 5x = 6y.
[The volume of a sphere is 4/3 πr³] [The volume of a cone is 1/3 πr²h]. A cone is removed from a solid wooden hemisphere of radius 3 cm. The cone h...
y is directly proportional to the square of x. Given that y = 8 when x = 4, find y when x = 3.
p is inversely proportional to q. It is known that p = 15 for a particular value of q. Write down the value of p when this value of q is doubled.
In the diagram, AB, BC, CD and DE are four sides of a regular polygon. Each interior angle of the polygon is 160°. ABPQR, DCP and EDQ are straight ...
A sequence of diagrams is made using counters. Complete the table. [Figure 17.1]
Find an expression, in terms of n, for the number of counters in Diagram n. [Figure 17.1]
In this sequence, Diagram p has 200 counters. Find the value of p. [Figure 17.1]
Henri did a survey of the lengths of the leaves on a plant. The results are summarised in the table. When asked to draw a histogram to illustrate t...
On the grid below, draw a correct histogram for Henri's results. [Figure 18.2]
In the diagram, the two circles intersect at P and Q. The line AB is a tangent to the circles at A and B. AD and BC are diameters. BD intersects th...
The number of goals scored in each of 50 football matches was recorded. The results are given in the table. For these results, find the mode. [Figu...
Express 500 as the product of its prime factors.
Evaluate (2.05 + 1.4) × 0.2 .
Complete this description. A rectangle has rotational symmetry of order ______ and ______ lines of symmetry.
It is given that 100 dollars ($) is equivalent to 56 pounds (£).