Edexcel GCSE Mathematics November 2021 - Paper 1MA1/1H

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Edexcel GCSE Mathematics November 2021 Past Paper 1MA1/1H (PDF)

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1. (a) Work out 3.67 × 4.2
   (b) Work out 59.84 ÷ 1.6
2. E = {even numbers less than 19}
   A = {6, 12, 18}
   B = {2, 6, 14, 18}
   Complete the Venn diagram for this information.
3. Work out 4 1/5 - 2 2/3
   Give your answer as a mixed number.
4. At the end of 2017
   the value of Tamara’s house was £220 000
   the value of Rahim’s house was £160 000
   At the end of 2019
   the value of Tamara’s house had decreased by 20%
   the value of Rahim’s house had increased by 30%
   At the end of 2019, whose house had the greater value?
   You must show how you get your answer.
   
5. Rosie, Matilda and Ibrahim collect stickers.
   Rosie:Matilda:Ibrahim = 4:7:15
   Ibrahim has 24 more stickers than Matilda.
   Ibrahim has more stickers than Rosie.
   How many more?

6. The diagram shows a prism.
   The cross section of the prism is a right‑angled triangle.
   The base of the triangle has length 5cm
   The prism has length 25cm
   The prism has volume 750cm³
   Work out the height of the prism.
7. The diagram shows a cube with edges of length x cm and a sphere of radius 3cm.
   The surface area of the cube is equal to the surface area of the sphere.
   Show that x = √(kπ) where k is an integer.
8. Solve x² = 5x + 24
9. (a) Write down the value of 7⁰
   (b) Find the value of 3×3⁶×3^-6
   (c) Find the value of 2⁴
   (d) Find the value of 27^1/3
   
10. The diagram shows a shape made from 6 identical squares.
    The total area of the shape is 5406cm²
    (a) Find an estimate for the length of one side of each square.
    Give your answer correct to the nearest whole number.
    (b) Is your answer to part (a) an underestimate or an overestimate?
    You must give a reason for your answer.
11. The diagram shows two rectangles, A and B.
12. The cumulative frequency table gives information about the heights, in cm, of 40 plants.
13. Ted is trying to change 0.43 to a fraction.
14. Here is a shape with all its measurements in centimetres.
15. Show that
16. There are only 3 red counters and 5 yellow counters in a bag.
    Jude takes at random 3 counters from the bag.
    Work out the probability that he takes exactly one red counter.
17. On the grid show, by shading, the region that satisfies all of these inequalities.
18. Here is trapezium ABCD.
19. Show that
20. The diagram shows the graph of x² + y² = 30.25
21. The functions f and g are such that
22. Find the coordinates of the turning point on the curve with equation y = 9 + 18x – 3x²

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