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Edexcel GCSE Mathematics November 2019 - Paper 3H

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More Questions and Worked Solutions for Edexcel GCSE Exams

1. (a) Expand and simplify (x + 5)(x – 9)
(b) Factorise fully 9x2 + 6x
2. (a) Use your calculator to work out
Write down all the figures on your calculator display.
(b) Write your answer to part (a) correct to 4 significant figures
3. The scatter graph shows information about the marks a group of students got in a Science test and in a Maths test.
Jamie got a mark of 34 in the Science test.
Using the scatter graph, find an estimate for Jamie’s mark in the Maths test.
4. The table gives information about the times taken, in seconds, by 18 students to run a race.
Work out an estimate for the mean time.
Give your answer correct to 3 significant figures.
5. Write 37 cm3 in mm3.
6. Nimer was driving to a hotel.
He looked at his Sat Nav at 13 30
Nimer arrived at the hotel at 14 48
Work out the average speed of the car from 13 30 to 14 48
You must show all your working.
7. (a) Write 32 460 000 in standard form.
(b) Write 4.96 x 10-3 as an ordinary number.
Asma was asked to compare the following two numbers.
A = 6.212 x 108 and B = 4.73 x 109
She says,
“6.212 is bigger than 4.73 so A is bigger than B.”
(c) Is Asma correct?
You must give a reason for your answer.
8. The diagram shows a regular pentagon and a parallelogram.
Work out the size of the angle marked x.
You must show all your working.
9. Enlarge triangle A by scale factor 2.5 with centre (0, 1)
10. (a) Solve (9+x)/7 = 11 - x
(b) Simplify
11. The probability tree diagram shows the probabilities that Bismah will be late for work on two days next week. Calculate the probability that Bismah will be late on exactly one of the two days.
12. The stem and leaf diagram shows information about the heights, in cm, of 23 sunflowers.
On the grid, draw a box plot for this information.
13. Liquid A and liquid B are mixed together in the ratio 2 : 13 by volume to make liquid C.
Liquid A has density 1.21 g/cm3
Liquid B has density 1.02 g/cm3
A cylindrical container is filled completely with liquid C.
The cylinder has radius 3 cm and height 25 cm.
Work out the mass of the liquid in the container.
Give your answer correct to 3 significant figures.
You must show all your working.
14. A group of people went to a restaurant.
Each person chose one starter and one main course.
the number of people who chose soup : the number of people who chose prawns = 2 : 3
Of those who chose soup,
the number of people who chose lasagne : the number of people who chose curry = 5 : 3
Of those who chose prawns,
the number of people who chose lasagne : the number of people who chose curry = 1 : 5
What fraction of the people chose curry?
You must show how you get your answer.
15. Prove algebraically that the sum of the squares of any two consecutive even numbers is always a multiple of 4
16. y is inversely proportional to the square of x.
y = 8 when x = 2.5
Find the negative value of x when y = 8/9
17. Here is the graph of y = x2 – 3
Use the graph to find estimates for the solutions to the equation x2 – 2x – 2 = 0
You must show how you get your solutions.
18. The diagram shows triangle ABC.
AB = 3.4 cm, AC = 6.2 cm, BC = 6.1 cm
D is the point on BC such that
size of angle DAC = 2/5 x size of angle BCA
Calculate the length DC.
Give your answer correct to 3 significant figures.
You must show all your working.
19. The graph shows information about part of a cyclist’s journey.
Work out an estimate of the speed, in m/s, of the cyclist at time 6 seconds.
20. Here are the first five terms of a sequence.
-1, 0, 3, 8, 15
Find an expression, in terms of n, for the nth term of this sequence.
21. When a biased coin is thrown 4 times, the probability of getting 4 heads is 16/81
Work out the probability of getting 4 tails when the coin is thrown 4 times.
22. Show that simplifies to ax where a is an integer.
23. The diagram shows a sector OACB of a circle with centre O.
The point C is the midpoint of the arc AB.
The diagram also shows a hollow cone with vertex O.
The cone is formed by joining OA and OB.
The cone has volume 56.8 cm3 and height 3.6 cm.
Calculate the size of angle AOB of sector OACB.
Give your answer correct to 3 significant figures.
You must show all your working.
24. OXYZ is a parallelogram.
P is the point on OX such that OP : PX = 1 : 2
R is the point on OY such that OR : RY = 1 : 3
Work out, in its simplest form, the ratio ZP : ZR
You must show all your working.



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