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.
In the diagram, A and B are the centres of two circles that touch at P. The line ACT touches the small circle at T and intersects the large circle ...
A = (2 0 / 3 1) B = (1 2 / -1 3)
P and Q are points on the circumference of a circle, centre O, radius R cm. The minor arc PQ = 20 cm and PÔQ = 48°. Show that R = 23.9, correct to ...
ABCD is a level playing field. AB = 65 m, BC = 70m and CA = 110m. CDA = 70°, DÂC = 58° and C is due South of B. [Figure showing a quadrilateral ABC...
ACB and OCD are straight lines. AC : CB = 1:2. OA = 3a and OB = 6b. [Figure showing a quadrilateral with vectors OA=3a, OB=6b, and points C, D, wit...
Six hundred candidates took a mathematics examination which consisted of two papers. Each paper was marked out of 100. The diagram shows, on the sa...
Evaluate 1 3/8 - 2/3.
Evaluate 9² – 9⁰.
Find the simple interest on $200 for 3 years at 4% per year.
By writing each number correct to 1 significant figure, calculate an estimate for the value of 987.65 / 0.0193
The diagram shows part of a figure that has AB as its line of symmetry. Complete the figure. [Figure 5.a]
As part of her training, Samantha runs for 2 hours. For the first 1½ hours she runs at an average speed of 10km/h. She runs 7 km in the remaining ½...
f(x) = 3x + 7 Find f(3.2).
y varies directly as the square of x. Given that y = 1/5 when x = 1/2, find y when x = 10.
Solve the inequality 12 – 2x < x.
One week the temperatures, in degrees Celsius, at midnight were recorded. The results are given below. -1 -3 2 5 -2 1 -2 Use these results to find
Write the number 0.00012 in standard form.
Solve the simultaneous equations. 2y = x + 12; 3y = 11 - 2x
In a survey, some people were asked which of three types of tea, labelled X, Y and Z, they preferred. The diagram shows part of a pie chart that il...
The table shows the square roots, given correct to 4 significant figures, of some numbers from 31.0 to 32.9. 0 0.1 0.2 0.3 0.4 0.5 0....
Simplify 8 – 3(2t + 1).
The coordinates of P and Q are (0, 7) and (10, −1).
The lengths of 90 leaves of a plant were measured. The results are given in the table. Length (t cm) 0<t≤1 1<t≤2 2<t≤3 3<t≤4 4<t≤5 5<t≤6 Frequency ...
The diagram represents a vertical, circular fairground wheel which turns about its centre O. The wheel has 30 seats, equally spaced around the circ...
Factorise 25a² – 5a.
The diagram shows the lines AB and BC. The point D is on the opposite side of AC to B. AD = 5 cm and CD = 6.5 cm. [Figure 20]
The diagram shows the triangle ABC formed by the lines y = 6, x = 23 and y = x/3. [Figure 21]
The diagram is the speed-time graph of a train which travels between two stations. [Figure 22]
In the Venn diagram, shade the region which represents the subset A' ∩ B ∩ C.
In the diagram, ABC and AFE are straight lines. AB = 6a and BF = 2b. [Figure 24]
Mary makes pendants, of the same design, from small beads. The sequence of diagrams shows the pendants she makes. [Figures 25]
A = [[0, -2], [1, 3]], B = [[3, 2], [-1, 0]]
Evaluate 6/7 - 3/5
The masses, in kilograms, of 20 parcels sent by a dispatch centre are given in the table. 4.2 5.3 5.1 7.8 8.2 7.5 3.2 5.7 4.1 5.9 8.4 5.6 8.0 3.2 4...
y is inversely proportional to x. Given that y = 1/6 when x = 30, find y when x = 10.
f(x) = x/4 Find f(1/2).
The timetable for buses from A to E, calling at B, C and D, is given below. A 0812 0842 and every 30 minutes until 1712 B 0833 0903 and every 30 mi...
The diagram shows a scale from 3.8 to 3.9, divided into five equal parts. What is the value at the mark labelled P?
In the diagram, ABC is parallel to DEFG. BC = BE, ACE= 35° and BFG = 102°.
Thirty students were asked on how many days they ate pasta last week. The results are given in the table. Number of days 0 1 2 3 4 5 Frequency 9 6 ...
The area of a rectangle is given as 8 cm², correct to the nearest cm².
By making suitable approximations, calculate an estimate for 40.32 × √35.7 / 2980 Show clearly the approximations you use and give your answer corr...
The mean age of Ali, Ben and Chris is 14 years 3 months. Dai's age is 15 years and 3 months. Calculate the mean age of the four people.
a^x = 5 Find a^(2x).
The distribution of the lengths of time spent on the internet on a Monday by each member of a group of students is given in the table. Time (t minu...
Find the two solutions of x/3 - 1 < 3x/4 which are negative integers.
The diagram shows a figure made from five identical triangles. The figure has rotational symmetry.
Write the number 360 million in standard form.
Find 110% of 70.
An open rectangular tray has inside measurements length 11 cm width 6 cm height 5 cm.