Edexcel Jan 2021 IGCSE 4MA1/2FR

Edexcel Jan 2021 IGCSE, 4MA1/2FR questions (pdf)

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1. Here are five discs. Each disc has a number on it. These five discs are arranged to make the number 41283 (a) Show how all five discs can be arranged to make the smallest number. (b) Show how all five discs can be arranged to make the largest even number. (c) Which of the five numbers on the discs are factors of 21? (d) Which of the five numbers on the discs are prime numbers?
2. The pictogram shows information about the number of emails Sophie received on each of four days. (a) On which of Monday, Tuesday, Wednesday or Thursday did Sophie receive the least number of emails? (b) Find the ratio of the number of emails Sophie received on Monday to the number of emails Sophie received on Tuesday. Give your ratio in its simplest form.
3. (a) Complete the following estimates by writing a suitable metric unit on each of the dotted lines. (i) The distance from Paris to Berlin is about 1000 …. (ii) A bucket holds about 5 …. of water. (iii) The area of the screen of a mobile phone is about 90 ….
4. Here are three 3D shapes, A, B and C. (a) Write down the mathematical name for each of these 3D shapes. (b) (i) How many faces does shape C have? (ii) How many vertices does shape C have? Here is a solid prism made from bricks. The bricks are identical triangular prisms.

5. The table shows the temperature recorded in Amsterdam at 6 am on each of five days. (a) What is the range of the temperatures in the table? (b) What is the median of the temperatures in the table? (c) What percentage of the temperatures in the table are lower than 0°C? On Saturday of the same week, the temperature recorded in Amsterdam at 6am was 8 °C higher than the temperature recorded at 6am on Friday. (d) What was the temperature recorded in Amsterdam at 6 am on Saturday?
6. Mikhal has 1200 grams of cake mixture. He is going to make 3 cakes, cake A, cake B and cake C. 4/15 of the weight of the cake mixture will be used to make cake A. The rest of the cake mixture will be used to make cake B and cake C. The weight of the cake mixture used to make cake B and the weight of the cake mixture used to make cake C will be in the ratio 3: 8 Work out the weight of the cake mixture used to make each of cake A, cake B and cake C
7. Here are five times, in a single day, using the 24-hour clock (a) Write down the letter of the time nearest to 6pm
8. In Berlin, a watch costs 120 euros. In Dubai, the same model of watch costs 600 dirhams. The currency exchange rates are Calculate the difference between the cost of the watch in Berlin and the cost of the same model of watch in Dubai. Give your answer in pounds (£) correct to 2 decimal places
9. The scale diagram shows the positions of a post office (A) and a police station (B) in a town (a) Measure the bearing of B from A. The town hall is at a position C. The bearing of A from C is 045° (b) Calculate the bearing of C from A.
10. Here is a list of ingredients needed to make 24 currant buns. Gina wants to make 60 currant buns. (a) Work out the weight of butter Gina needs Hans wants to make 30 currant buns. (b) Find the percentage increase in the weight of butter needed to make 30 currant buns rather than 24 currant buns.
11. w = 5y² – y³ (a) Work out the value of w when y = –2
12. The diagram shows a rectangle ABCD and a semicircle with diameter AB where AB = 12cm. The point E lies on DC and also on the semicircle. Work out the area of the shaded region. Give your answer correct to 3 significant figures.
13. Solve 5(2x – 3) = 20 Show clear algebraic working
14. E = {21, 22, 23, 24, 25, 26, 27, 28, 29, 30} A = {22, 24, 26, 28, 30} B = {21, 24, 27, 30} (a) List the members of the set (i) A ∩ B
15. (a) Simplify (3k²)⁴
16. Here is a shape P drawn on a grid of squares.
17. On Wednesday, the price of 1 litre of petrol was £1.26 The price of petrol on Wednesday was 5% more than the price of petrol on the previous Monday. Calculate the price of 30 litres of petrol on the previous Monday.
18. The shaded region R, shown in the diagram below, is bounded by the straight line with equation y = 3x – 2 and by two other straight lines. Write down the three inequalities that define region R.
19. The table gives the length of the coastline, in kilometres, of each of five oceans
20. Solve x² – 21x + 20 = 0 Show your working clearly
21. A mathematics teacher at a school asked a group of students how far, in kilometres, each student had travelled to get to school that day. The table gives information about their answers.

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