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.
(a) ABC is a triangle with AC = 5cm and BC = 10cm. Using a ruler and compasses only, construct triangle ABC. AB has been drawn for you. [Figure: li...
The table shows information about a class of 28 students and the distances they live from their school. [Table with columns Boys, Girls and rows D...
Simplify 6r+7s-r+3s.
A square and a regular pentagon are joined along one edge as shown in the diagram. [Figure: Diagram of a square and a regular pentagon joined, with...
Ahmed invests $4000 at a rate of 1.5% per year simple interest. Calculate the value of the investment after 2 years.
(a) The diagram shows the distance-time graph of a cyclist for the first two stages of a race, AB and BC. [Figure: distance-time graph with points ...
(a) The diagram shows the fuel gauge of a car. This car has 40 litres of fuel in the tank. [Figure: Fuel gauge with empty and full marks, needle po...
Tom's pet eats 3/5 of a tin of food each day. Tom needs food for his pet for 12 days. Calculate the number of tins of food Tom needs to buy.
Solve. 4(2x-3)+5(x+5) = 20
The pie chart shows the proportion of junior members and senior members at a gym. There are 120 more senior members than junior members. [Figure: P...
Solve the simultaneous equations. Show all your working. 2x + 3y = 7, x - 6y = 6
By writing each number correct to one significant figure, estimate the value of 2.87 × √396.5 ─────── 1.92²
A, B, C and D are points on the circumference of a circle centre O. Angle BCD = 58° and angle DBC = 72°. [Figure: Circle with points A, B, C, D on ...
The table shows the time that each of 60 children spends in a play area. [Table with Time (t mins) and Frequency: 0<t≤10 (4), 10<t≤40 (7), 40<t≤60...
In this table, p is directly proportional to q². [Table with p and q rows: p values 12, a, 48; q values 2, 7, b] Calculate the value of a and the v...
f(x) = 2x-5 Find f(11).
The matrix N satisfies the equation 3N = N + 5(4 0) (6 -2) Find N.
Prism A and prism B are mathematically similar. In the diagram, the cross-sections of the prisms are shaded. The volume of prism A is 5000 cm³. The...
a = (5b+2x)/(x-3) Rearrange the formula to make x the subject.
AB is a line segment joining A (-2, 5) and B (1, 3).
ABCD is a quadrilateral. H, K, L and M are the midpoints of AB, BC, CD and AD respectively. AB = 2a, BC = 2b and AD = 2d. [Figure: Quadrilateral AB...
Shade one more small square so the diagram has one line of symmetry. [Figure 2(a)]
Olga writes a list of five numbers. The median of the numbers is 12. The mode of the numbers is 11. The range of the numbers is 10. The sum of the ...
Convert 4 kilograms to grams.
In this question all dimensions are given in centimetres.
Jack uses number cards to make a 2-digit number. Complete the missing card to give a 2-digit number that is not a prime number. [Figure 6(a)]
Work out (2/7) ÷ (1/3).
A train leaves station A at 07 43. The train arrives at station B at 10 27. Work out the time the train takes to travel from station A to station B.
There are red pens, blue pens and black pens in a box. There are x red pens. The number of blue pens is 5 more than the number of red pens. The num...
The scale drawing shows part of a field, ABCD. The scale is 1 cm to 50m. [Figure 10]
By writing each number correct to 1 significant figure, estimate the value of (5.32+3.97) / √878
a = 5b+7 Find the value of a when b = -2.
Kamal records the number of phone calls he receives at work each day for 20 days. The results are shown in the table. Number of phone calls: 0 to 5...
Write 42000000 in standard form.
Triangle ABC is mathematically similar to triangle CBD. AB = 5cm, AC = 7cm and BC = 8cm. [Figure 15] Calculate BD.
The region R is defined by these inequalities. y ≥ 2x x+y ≤ 4 x ≥ 0 Find and label region R. [Figure 16]
A, B, C and D are points on a circle, centre O. Angle BAD = 120° and angle OBC = 20°. [Figure 17]
Evaluate 125⁻²/³.
The mass of a bag of almonds is 125 g, correct to the nearest gram. Write down the lower bound of the mass of the bag of almonds.
f(x) = (2-4x) / 5 Find f⁻¹(x).
The table shows the heights of 180 sunflowers. Height (h cm): 100 < h ≤ 120 | 120 < h < 140 | 140 < h < 150 | 150 < h < 160 Frequency: 28 | 60 | 68...
The diagram shows the graph of y = 1/x + x/2. [Figure 22]
A = [[3, -1], [2, 0]] Find A⁻¹.
Solve x/(x-1) - 5/(x-3) = 1.
OCB is a triangle. A is a point on OC such that OA : AC = 1 : 3. X is the midpoint of BC. OA = a and OB = b. Find the position vector of X. Give yo...
The total money received from ticket sales for one match is $1 183000. Find the number of tickets sold for this match.
The temperature at midday was recorded at ten different heights on a mountain. The results are shown in the table. Height (m) | 300 | 825 | 600 | 4...
Triangle PQR is isosceles with PQ = QR. The exterior angle of the triangle at R is 142°. Calculate angle PQR. Angle PQR =
Two of the factors of 50 are square numbers. One of these square numbers is 1. Find the other square number that is a factor of 50.
Two companies move boxes. Company A charges $0.50 for each box plus a fixed fee of $125. Company B charges only a fixed fee of $350. Find the numbe...