Edexcel Jan 2021 IGCSE 4MA1/1H

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

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1. Pieter owns a currency conversion shop.
   Last Monday, Pieter changed a total of 20160 rand into a number of different currencies. He changed 3/10 of the 20 160 rand into euros.
   He changed the rest of the rands into dollars, rupees and francs in the ratios 9:5:2
   Pieter changed more rands into dollars than he changed into francs.
   Work out how many more.
2. The table gives information about the speeds, in kilometres per hour, of 80 motorbikes as each pass under a bridge. 3 The diagram shows a container for water in the shape of a prism.
   The rectangular base of the prism, shown shaded in the diagram, is horizontal.
   The container is completely full of water.
   Tuah is going to use a pump to empty the water from the container so that the volume of water in the container decreases at a constant rate.
   The pump starts to empty water from the container at 1030 and at 12 00 the water level in the container has dropped by 20 cm.
   Find the time at which all the water has been pumped out of the container
3. E = {20, 21, 22, 23, 24, 25, 26, 27, 28, 29}
   A = {odd numbers}
   B = {multiples of 3}
   List the members of the set

5. (a) Factorise fully 15y⁴ + 20uy³
6. (a) Write 2 840 000 000 in standard form.
7. Chen invests 40 000 yuan in a fixed-term bond for 3 years.
   The fixed-term bond pays compound interest at a rate of 3.5% each year.
   (a) Work out the value of Chen’s investment at the end of 3 years.
   Give your answer to the nearest yuan.
8. The region, shown shaded in the diagram, is a path.
9. (a) Simplify (2x³y⁵)⁴
10. Here is isosceles triangle ABC.
    D is the midpoint of AC and DB = 16cm.
    Angle DAB = 65°
    Work out the perimeter of triangle ABC.
    Give your answer correct to one decimal place.
11. The cumulative frequency graph gives information about the weights, in grams, of 90 bags of sweets.
    (a) Find an estimate for the median of the weights of these bags of sweets.
    Roberto sells the bags of sweets to raise money for charity.
    Bags with a weight greater than d grams are labelled large bags and sold for 3.75 euros each bag.
    The total amount of money he receives by selling all the large bags is 93.75 euros.
    (b) Find the value of d.
12. (a) Express 4/(x-2) - 3/(x+1) as a single fraction.
    Give your answer in its simplest form.
13. Point A has coordinates (5, 8)
    Point B has coordinates (9, –4)
    (a) Work out the gradient of AB.
14. Ding is going to play one game of snooker against each of two of his friends, Marco and Judd.
    The probability tree diagram gives information about the probabilities that Ding will win or lose each of these two games.
15. a = (v-u)/t
16. The diagram shows the positions of three ships, A, B and C.
17. A solid, S, is made from a hemisphere and a cylinder.
    The centre of the circular face of the hemisphere and the centre of the top face of the cylinder are at the same point.
18. Given that
19. Solve the simultaneous equations
20. A and B are two similar solids
21. A curve has equation y = f(x)
    The coordinates of the minimum point on this curve are (–9, 15)
    (a) Write down the coordinates of the minimum point on the curve with equation
22. The function f is such that f(x) = x² – 8x + 5 where x ≤ 4
23. OAB is a triangle
24. An arithmetic series has first term a and common difference d.
    The sum of the first 2n terms of the series is four times the sum of the first n terms of the series.
    Find an expression for a in terms of d.
    Show your working clearly.

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