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.
Express 60 as the product of its prime factors.
The point A has position vector (3/-7) and AB = (-5/12).
A 4-sided spinner numbered 1 to 4 is spun many times. The table shows the results of the spins. [Table: Number (1, 2, 3, 4), Frequency (6, 5, 13, p)]
Factorise. 4b²-c²
The region R is defined by these inequalities. 1≤x≤5 0≤y≤4 y≥3-x Find and label region R. [Figure with x-y grid]
E = {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12} X = {2, 3, 5, 7, 11} Y = {1, 2, 3, 4, 5, 6}
These are the first five terms of a sequence. 4 8 16 32 64
f(x) = 6/(2 - x) Find f(-1).
ACD and BCE are straight lines. AB is parallel to ED. [Figure with two triangles ABC and DEC, where A,C,D are collinear and B,C,E are collinear, an...
Expand and simplify. (x+5)(x-2)
A = (-6 1 / -2 4). Find A².
Evaluate √4900.
Work out -8+7×(-5).
Shade one more small triangle so that the shape has rotational symmetry of order 3. [Figure]
Write down the name of the solid formed from each net. [Figure]
In the diagram, ABCD and EFGH are parallel lines. The lines CF and BG intersect at X. CFG = 53°, BGF = 46° and BXC = 81°. [Figure]
Work out 69÷0.3.
By writing each number correct to 1 significant figure, estimate the value of 8230 × 0.64 18.7
Write 0.06km in metres.
Write 216 as a product of its prime factors.
The diagram shows triangle A and triangle B. [Figure X.X]
The scale drawing shows a garden with two trees P and Q. The scale is 1 centimetre represents 6 metres. [Figure X.X]
The diagram shows a rectangle ABCD. E is a point on the diagonal AC such that DÊC = 90°. Prove that triangle ADC is similar to triangle DEC. Give a...
The mean of five numbers is 17. The numbers are listed in order of size, starting with the smallest. The three smallest numbers are equal. The midd...
The diagram shows the speed-time graph for the start of a cyclist's journey. [Figure X.X]
During one year the value of a bicycle decreased from $200 to $160. Calculate the percentage decrease in the value of the bicycle.
Solve the inequality. 23+2n > 5-6n
Factorise. 3xy-qy+6px– 2pq
The diagram shows a shaded region ABC. The equation of the line AC is y = -½x+5. Write down the three inequalities that define the shaded region. [...
A, B and C lie on a circle, centre O. The line PBQ is a tangent to the circle at B. OCQ is a straight line. BQO = 36° and BAC = x°. Find the value ...
Find. (3 -2; 1 2)⁻¹
The cumulative frequency diagram shows the masses, m grams, of 120 eggs. [Figure X.X]
Solve. 27ᵏ = 9
y is inversely proportional to (x+1)². When x = 1, y = 5. Find y when x = 9.
f(x) = 2x² +7x+4 g(x) = 2x+6
40 students can take part in three activities, Art (A), Dancing (D) and Gardening (G). • 5 do not take part in any of the activities • 12 do Art on...
1 (a) In October, Sara is charged $84.25 for water. A tax of 8% is added to this amount. Calculate the total amount Sara is charged for water in O...
2 (a) The table shows the number of exercise classes attended in one week by each of 80 members of a gym. | Number of classes | 0 | 1 | 2 | 3 ...
3 (a) [Figure geometry diagram with circle, tangent, and angles] Points A, B and C are on the circle, centre O. AOC and OBE are straight lines. DE...
4 (a) [Figure diagram of villages P, Q, R with bearings] The diagram shows the positions of three villages, P, Q and R. R is due west of P and Q i...
5 (a) [Figure showing 10 number cards: 2, 2, 2, 3, 4, 5, 5, 6, 8, 9] Khalid has these 10 number cards. He takes a card at random, notes the number...
6 (a) [Figure diagram of a right-angled triangle with sides 8, 2x, 3x+5] The diagram shows a right-angled triangle, with dimensions given in centi...
7 (a) On the grid below, draw the graph of y = 2ˣ for 0 ≤ x ≤ 4. [Figure grid for plotting graph] (b) [Figure graph of y = 1/(2x²) + 3x for -1 ≤ ...
8 A is the point (−2, 3) and B is the point (4, 5). (a) Find the coordinates of the midpoint of AB. (b) Show that the equation of line AB is 3y ...
9 (a) Solve 3x-8 = 7. x = (b) Solve the inequality 7x < 3(2-x). (c) Solve 3/(x-2) + x/(x+5) = 1. x = (d) Simplify (2x²+3x+4xy +6y) / (2x² +...
10 (a) A cuboid measures 6.2 cm by 4.8 cm by 2.5 cm. Each measurement is given correct to the nearest millimetre. Calculate the upper bound of the...
Jasmine buys a family holiday to India. Here is some information about the cost. Flights | $700 Hotel | $1550 Total cost | $2250 Jasmine change...
The pie chart summarises the ages of people at a science fair. [Figure showing a pie chart with sectors labeled 'Over 30', 'Under 16', '21 to 30', ...
Complete the table for y = x³/2 - 3x - 1. x | -3 | -2 | -1 | 0 | 1 | 2 | 3 y | | 1 | 1.5 | | -3.5 | -3 | 3.5 Line L passes through the poin...
Here are the first three patterns in a sequence made from counters. [Figure showing three patterns of counters: Pattern 1 (8 counters), Pattern 2 (...