# Edexcel GCSE 1MA1 2H 2018 Mock Exam

Questions and Worked Solutions for Edexcel GCSE Mathematics 1MA1 2H 2018 Mock Exam (Non-Calculator)

Edexcel GCSE 1MA1 2H 2018 Mock Exam (Non-Calculator) Solutions

Edexcel GCSE Mathematics 1MA1 2H 2018 Mock Exam (PDF)

1. Divide 7560 in the ratio 4 : 5

2. Here is a Venn diagram.
(a) List the members of
(i) X
(ii) X ∩ Y
(iii) X ∪ Z
A number is chosen at random from E.
(b) Find the probability that this number is in Y ∪ Z.

3. ABC is a right-angled triangle.
Calculate the length of BC.
Give your answer correct to 1 decimal place.

4. (a) Write 1.04×105 as an ordinary number.
(b) Write 0.06 in standard form.
4.62 × 108 tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
(c) Work out the average cost per tin of beans.

1. Becky buys a new car for £25000
The value of this car will depreciate by 20% at the end of the first year and then by 12% at the end of every year after the first year.
Work out the value of the car at the end of 3 years.

2. The diagram shows a shape made from a trapezium ABCD and a semicircle with diameter DC.
DC = 8 cm
The shape has area 64cm2
The height of the trapezium is 5cm.
Work out the length of AB.
Give your answer correct to 1 decimal place.

3. On Monday 4 bricklayers took 3 hours to lay a total of 4200 bricks.
On Tuesday there are only 2 bricklayers.
Work out how many hours it will take the 2 bricklayers to lay a total of 3150 bricks.

4. Simon invested an amount of money in a savings account at 0.5% per annum compound interest.
At the end of 3 years, the amount of money in the savings account was £12180.90
Work out how much money Simon invested in the savings account.
You must show your working.

5. PR and PS are two sides of a square.
PS and PT are two sides of a regular pentagon.
PR and PT are two sides of a regular polygon with n sides.
Work out the value of n.
You must show your working.

6. Solve the simultaneous equations
2x + 3y = 6
7x – 2y = 1

7. The incomplete table and the incomplete box plot give information about the number of lorries using a bridge each day last January.
(a) (i) Use the information in the table to complete the box plot.
(ii) Use the information in the box plot to complete the table.
The box plot below gives information about the number of lorries using the bridge each day last February.
(b) Compare the distribution of the number of lorries using the bridge last January and the distribution of the number of lorries using the bridge last February.

8. ABCDEFGH is a cuboid.
Angle EDH = 64°
Angle ACD = 28°
EH = 15 cm
Work out the size of angle AHD.
Give your answer correct to 1 decimal place.

9. (6–2)w = 68
(a) Find the value of w.
(ar)2/(at)3 can be written in the form au
(b) Find an expression for u in terms of r and t.
Given that n2/3 = 8 and n > 0
(c) work out the value of n.
Give your answer in the form a√b where a and b are integers.

10. There are some flowers in a shop.
Each flower is either red or yellow.
Each flower is either a tulip or a rose.
For these flowers
number of tulips:number of roses = 6 :5
number of red tulips:number of yellow tulips = 3: 4
Work out the proportion of the flowers that are red tulips.

1. Alison has some shapes.
She has 14 red cubes and 10 red spheres.
She has 12 black cubes and 8 black spheres.
Alison is going to select 2 of these shapes.
Of these 2 shapes
only 1 can be red
only 1 can be black
only 1 can be a cube
and only 1 can be a sphere.
In how many ways can Alison select the 2 shapes?

2. The graph of y = x2 is reflected in the line with equation y = x to give the curve C.
(a) Sketch the graph of y = x2 and the curve C.
Clearly label the graphs.
(b) Here are seven graphs.
Complete the table below with the letter of the graph that could represent each given equation.

3. The number of moose in Alaska at the start of year n is Pn
The number of moose in Alaska at the start of the following year is given by Pn+1 = 1.04 (Pn − G) where G is a constant.
At the beginning of 2015, there were 200000 moose in Alaska.
At the beginning of 2016, there were 200720 moose in Alaska.
Work out how many moose there were in Alaska at the beginning of 2017

4. Solve the inequality 2x2 + x – 3 < 0
Represent the solution set on the number line.

5. OAB is a triangle.
OA = a
OB = b
P is the point on AB such that AP:PB = 3:2
Find OP in terms of a and b.
Give your answer in its simplest form.

6. f(x) = (1 - x)/(1 + x)
(a) Show that ff(x) = x
(b) Hence, write down f–1(x)

7. There are only red counters, yellow counters and blue counters in a bag.
Kevin takes at random a counter from the bag.
He puts the counter back in the bag.
Lethna takes at random a counter from the bag.
She puts the counter back in the bag.
The probability that both counters are red or that both counters are yellow is 13/36
The probability that the first counter is red and the second counter is not red is 1/4
Seb takes at random a counter from the bag.
Work out the probability that Seb takes a yellow counter.
You must show all your working.

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