Edexcel GCSE Mathematics November 2017 - Paper 2H

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1.Solve 5x -6 = 3(x - 1) 2. Emily buys a pack of 12 bottles of water.
The pack costs 5.64.
Emily sells all 12 bottles of 50p each.
Work out Emily’s percentage profit.
Give your answer correct to 1 decimal place. 3. Hasmeet walks once round a circle with diameter 80 metres.
There are 8 points equally spaced on the circumference of the circle.
(a) Find the distance Hasmeet walNs between one point and the next point.
Four of the points are moved, as shown in the diagram below.
Hasmeet walks once round the circle again.
(b) Has the mean distance that Hasmeet walks between one point and the next point changed?
You must give a reason for your answer. 4. There are only blue cubes, yellow cubes and green cubes in a bag.
There are twice as many blue cubes as yellow cubes and four times as many green cubes as blue cubes.
Hannah takes at random a cube from the bag.
Work out the probability that Hannah takes a yellow cube.

1. (a) Rotate trapezium T 180° about the origin.
Label the new trapezium A.
(1) (b) Translate trapezium T by the vector
Label the new trapezium B.
2. p3 × px = p9
(a) Find the value of x.
(72)y = 710
(b) Find the value of y.
100a × 1000b can be written in the form 10w
(c) Show that w = 2a + 3b
3. ABCD is a trapezium.
Work out the size of angle CDA. Give your answer correct to 1 decimal place.
4. Yesterday it took 5 cleaners 4 1/2 hours to clean all the rooms in a hotel.
There are only 3 cleaners to clean all the rooms in the hotel today.
Each cleaner is paid 8.20 for each hour or part of an hour they work.
How much will each cleaner be paid today?
5. Here is part of a distance-time graph for a car’s journey.
(a) Between which two times does the car travel at its greatest speed?
(b) Work out this greatest speed.
6. The pie charts give information about the ages, in years, of people living in two towns, Adley and Bridford.
The ratio of the number of people living in Adley to the number of people living in Bridford is given by the ratio of the areas of the pie charts.
What proportion of the total number of people living in these two towns live in Adley and are aged 0 – 19?
7. RS and ST are 2 sides of a regular 12-sided polygon.
RT is a diagonal of the polygon.
Work out the size of angle STR.
8. At the beginning of 2009, Mr Veale bought a company.
The value of the company was £50 000
Each year the value of the company increased by 2%.
(a) Calculate the value of the company at the beginning of 2017
At the beginning of 2009 the value of a different company was £250 000 In 6 years the value of this company increased to £325 000
This is equivalent to an increase of x% each year.
(b) Find the value of x.
9. On the grid, shade the region that satisfies all these inequalities.
y > 1
x + y < 5
y > 2x
Label the region R.

1. Tracey is going to choose a main course and a dessert in a cafe.
She can choose from 8 main courses and 7 desserts.
Tracey says that to work out the number of different ways of choosing a main course and a dessert you add 8 and 7
(a) Is Tracey correct?
12 teams play in a competition.
Each team plays each other team exactly once.
(b) Work out the total number of games played.
2. Solve (x – 2)2 = 3
Give your solutions correct to 3 significant figures.
3. The table gives information about the heights of 150 students.
(a) On the grid, draw a histogram for this information.
(b) Work out an estimate for the fraction of the students who have a height between 150 cm and 170 cm.
4. At time t = 0 hours a tank is full of water.
Water leaks from the tank.
At the end of every hour there is 2% less water in the tank than at the start of the hour.
The volume of water, in litres, in the tank at time t hours is Vt
Given that
V0 = 2000
Vt + 1 = kVt
write down the value of k.
5. A triangle has vertices P, Q and R.
The coordinates of P are (−3, −6)
The coordinates of Q are (1, 4)
The coordinates of R are (5, −2)
M is the midpoint of PQ.
N is the midpoint of QR.
Prove that MN is parallel to PR.
You must show each stage of your worNing.
6. OAC is a sector of a circle, centre O, radius 10 m.
BA is the tangent to the circle at point A.
BC is the tangent to the circle at point C.
Angle AOC = 120°
Calculate the area of the shaded region.
7. There are 12 counters in a bag.
There is an equal number of red counters, blue counters and yellow counters in the bag.
There are no other counters in the bag.
3 counters are taken at random from the bag.
(a) Work out the probability of taking 3 red counters.
The 3 counters are put back into the bag.
Some more counters are now put into the bag. There is still an equal number of red counters, blue counters and yellow counters in the bag.
There are no counters of any other colour in the bag.
3 counters are taken at random from the bag.
(b) Is it now less likely or equally likely or more likely that the 3 counters will be red?
8. The functions f and g are such that
f(x) = 5x + 3
g(x) = ax + b where a and b are constants.
g(3) = 20 and f−1(33) = g(1)
Find the value of a and the value of b
9. S is a geometric sequence.
(a) Given that (√x - 1) , 1 and (√x + 1) are the first three terms of S, find the value of x.
You must show all your working.
(b) Show that the 5th term of S is 7 + 5√2

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