Edexcel June 2021 IGCSE 4MA1/1H

Edexcel June 2021 IGCSE, 4MA1/1H questions (pdf)

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1. A plane flew from Madrid to Dubai.
   The distance the plane flew was 5658km.
   The flight time was 8 hours 12 minutes.
   Work out the average speed of the plane
2. Here are the first 4 terms of an arithmetic sequence.
   85 79 73 67
   Find an expression, in terms of n, for the nth term of the sequence.
3. The diagram shows the shape ABCDE.
   The area of the shape is 91.8cm²
   Work out the value of x.
4. On a farm there are chickens, ducks and pigs.
   The ratio of the number of chickens to the number of ducks is 7:2
   The ratio of the number of ducks to the number of pigs is 5:9
   There are 36 pigs on the farm.
   Work out the number of chickens on the farm.

5. (a) Expand and simplify 3x(2x + 3) – x(3x + 5)
   (b) Make t the subject of the formula p = at – d
6. Grace has a biased 5-sided spinner.
   Grace is going to spin the arrow on the spinner once.
   The table below gives the probabilities that the spinner will land on red or on blue or on green
7. −4 ≤ 2y < 6
   y is an integer.
   (a) Write down all the possible values of y
8. The table shows the populations of five countries.
   (a) Work out the difference between the population of China and the population of Germany.
   Give your answer in standard form.
9. (a) Factorise fully 25a⁴c⁷d + 45a⁹c³h
   (b) Solve (2x + 5)² = (2x + 3)(2x – 1)
10. Jethro has sat 5 tests.
    Each test was marked out of 100 and Jethro’s mean mark for the 5 tests is 74
    Jethro has to sit one more test that is also to be marked out of 100
    Jethro wants his mean mark for all 6 tests to be at least 77
    Work out the least mark that Jethro needs to get for the last test.
11. √2 × 16 = 2^x
    (a) Find the value of x.
    Show your working clearly
12. The diagram shows a sector of a circle with radius 7 cm.
    Work out the length of the arc of the sector.
    Give your answer correct to one decimal place.
13. Expand and simplify 4x(3x + 1)(2x – 3)
    Show your working clearly.
14. Here is the number of goals that Henri’s team scored one summer in each water polo match.
    5 8 9 11 13 13 14 15 16 17 20
    Find the interquartile range of the numbers of goals.
    Show your working clearly.
15. P, Q and R are points on a circle, centre O.
    TRV is the tangent to the circle at R.
16. Use algebra to show that the recurring decimal
17. Using algebra, prove that, given any 3 consecutive even numbers, the difference between the square of the largest number and the square of the smallest number is always 8 times the middle number.
18. The table and histogram give information about the distance travelled, in order to get to work, by each person working in a large store.
19. The Venn diagram shows a universal set, E and sets A, B and C.
20. P = (t - w)/y
    t = 9.7 correct to 1 decimal place
    w = 5.9 correct to 1 decimal place
    y = 3 correct to 1 significant figure
    Calculate the upper bound for the value of P.
    Show your working clearly.
21. Given that
22. The diagram shows a triangular prism ABCDEF with a horizontal base ABEF.
23. The sum of the first N terms of an arithmetic series, S, is 292
    The 2nd term of S is 8.5
    The 5th term of S is 13
    Find the value of N.
    Show clear algebraic working.
24. The functions f and g are defined as
25. The diagram shows two circles such that the region R, shown shaded in the diagram, is the region common to both circles.

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