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.
Choose a quadrilateral from the list to complete each statement. [List of quadrilaterals: Kite Parallelogram Rectangle Rhombus Square Trapezium]
The three cards above can be rearranged to make three-digit numbers, for example 916. Arrange the three cards to make [Diagram showing three cards ...
The diagram shows the speed-time graph for 70 seconds of a car's journey. After 20 seconds the car reaches a speed of v m/s. During the 70 seconds ...
A, B and T are points on a circle, centre O. AOD is a straight line and DT is a tangent to the circle at T. TÂO = 32° [Diagram of a circle with cen...
Construct the locus of all points, inside the quadrilateral ABCD, which are equidistant from DA and DC,
Maryam makes two geometrically similar cakes. The heights of the cakes are 6 cm and 9 cm. [Diagram showing two rectangular cakes, one taller than t...
p = 2.4 × 10² q = 6 × 10³ Giving your answers in standard form, find
Eighty cyclists were each asked the distance (in kilometres) they cycled last week. The cumulative frequency diagram represents the results. Use th...
The diagram shows the metal cover for a circular drain. Water drains out through the shaded sections. O is the centre of circles with radii 1 cm, 2...
Evaluate 5⁰ + 5²,
R is directly proportional to the cube of p. When p = 2, R = 24.
The diagram shows triangles A and B. [Graph with x and y axes, showing triangles A and B]
The diagram shows a triangle RST. [Graph with x and y axes, showing triangle RST]
Given matrices A = ((4, 3), (1, 2)) and B = ((-2, -3), (1, 1)), Find 2A – B.
Factorise fully 10x²y + 15xy².
Evaluate 5 + 1 × 0.3.
Evaluate 18 ÷ 0.2.
The diagram shows a parallelogram with lengths as marked. All the lengths are in centimetres. Calculate the perimeter of the parallelogram. [Figure 3]
In the triangle PQR, PQ = 5 cm, QR = 7 cm and PR = 9 cm. Decide whether the triangle is acute angled or obtuse angled. Show calculations to support...
Solve 4 < 3y - 11.
Write down all the integers that satisfy the inequality -4 ≤ 2x < 4.
The angles of a triangle are in the ratio 3 : 4 : 5. Calculate the smallest angle in the triangle.
The ratio of boys to girls in a class is 4 : 5. There are 3 more girls than boys. Calculate the total number of students in the class.
A thin piece of wire is shaped into a figure five as shown. The shape has two straight sections of length 5.25 cm and 4.8 cm. The curved part is th...
By writing each number correct to one significant figure, estimate the value of (28.6 + 47.7) / (0.47 x 21.4).
Write 8/25 as a decimal.
Make a the subject of the formula y = (a-4)/(3-a).
One morning the temperature was 5°C. By the evening the temperature had dropped 9°C. Write down the temperature in the evening.
Maryam lives in Ceetown and has to be in Deetown by 09 30. What time is the latest bus from Ceetown that she can catch? [Table for bus times in Q10...
Aadil catches the 0932 from Aytown to Deetown. How long does his journey take? [Table for bus times in Q10(b)]
The diagram shows a map of a lake. Three points A, B and C are on the edge of the lake. A ship sails due south from A to B. Write down the bearing ...
A cruiser sails from C to D on a bearing of 105°. Work out the bearing of C from D. [Figure 11]
Here are the first four terms of a sequence: 7, 11, 15, 19. Write down an expression, in terms of n, for the nth term of this sequence.
u_n is the nth term of another sequence. Here is the formula connecting the nth and (n + 1)th terms of this sequence: 3u_n - 4 = u_{n+1}. The value...
Solve 2(5ᴾ) = 250.
Simplify 1 ÷ x⁻⁵.
Simplify (3a/4) ÷ (9a²/8).
The table shows the ages of guests at a party. The histogram represents some of this information. Use the histogram to find the value of p. [Figure...
Find an integer r such that r > 5 and 5r – 1 is a square number.
Find the value of s which makes 8s + 2 a prime number.
Write down an irrational number between 7 and 8.
In the diagram AB = AC and AD is parallel to BC. A line from D intersects AC at E and BC at F. ADE = 38° and BẬC = 66°. Find DFC. [Figure 16]
Expand and simplify 4(2t + 3) + 5.
Expand and simplify 6p + 3q - 2(2p – 5q).
Factorise completely 25x³y² - 15x²y.
Two boats, one red and one blue, leave a harbour at the same time. They travel in the same direction. The speed-time graphs for the boats are shown...
Light travels at a speed of 3 × 10⁸ m/s. Calculate the time it takes for light to travel 6km. Give your answer in standard form.
One molecule of water is made up of two atoms of hydrogen and one atom of oxygen. The mass of one atom of hydrogen is 1.67 × 10⁻²⁴ g. The mass of o...
Given that x² - 14x + 40 = (x − a)² + b, find the values of a and b.
Solve the equation 3x² + 7x - 6 = 0 by factorisation.