Questions and Worked Solutions for Edexcel GCSE Mathematics 1MA1 3H 2018 Mock Exam (Non-Calculator)
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Edexcel GCSE 1MA1 3H 2018 Mock Exam (Non-Calculator) Solutions
Edexcel GCSE Mathematics 1MA1 3H 2018 Mock Exam (PDF)
Write down the inequality shown in the diagram.
The nth term of a sequence is n^{2} + 5
(a) (i) Find the first two terms of this sequence.
(ii) Is 126 a term of this sequence?
You must show how you get your answer.
Here are the first five terms of an arithmetic sequence.
26 19 12 5 –2
(b) Find an expression, in terms of n, for the nth term of this sequence.
The table gives information about the times that 100 people took to travel to work.
(a) Find the class interval that contains the median.
(b) Draw a frequency polygon for the information in the table.
In London, 1 pint of milk costs 58p.
In Paris, 1 litre of milk costs 1.05 euros.
1 litre = 1.76 pints
£1 = 1.17 euros
In which city is the milk better value for money, London or Paris?
You must show your working.
Simon can see two lights, light A and light B.
Light A flashes every 15 seconds.
Light B flashes every 18 seconds.
At 10 pm, both lights flash at the same time.
How many more times will both lights flash at the same time in the next 4 minutes?
The diagram shows a concrete block on horizontal ground.
The block is a cuboid, 12cm by 12cm by 65 cm.
The block exerts a force of 220newtons on the ground.
Calculate the pressure that the block exerts on the ground.
Give your answer in newtons/cm^{2}
The diagram shows triangle ABC.
The perimeter of the triangle is 64 cm.
AB : BC : CA = 6 : 5 : 5
Work out the area of the triangle.
(a) Complete the table of values for y = x^{3} – 3x + 1
(b) On the grid below, draw the graph of y = x^{3} – 3x + 1 for values of x from –2 to 2
Find the value of
Give your answer correct to 1 decimal place.
The cumulative frequency graph gives information about the number of minutes each of
60 people was in a shop.
(a) Find an estimate for the number of people who were in the shop for more than 40 minutes.
Stan has to use the graph to find an estimate for the lower quartile of the times.
Stan writes,
60 people were in the shop.
25% of 60 = 15
So the lower quartile of the times is 15 minutes.
(b) What mistake has Stan made?
Here are two rectangles.
The length of rectangle B is 25% greater than the length of rectangle A.
The width of rectangle B is 3/5 × the width of rectangle A.
Find the fraction area of rectangle B/ area of rectangle A
Give your answer in its simplest form.
In a class there are 11 boys and 19 girls.
The mean weight of all 30 children is 32.85 kg.
The mean weight of the 11 boys is 31.9 kg.
Work out the mean weight of the 19 girls.
When Lee goes to work, he either travels by car or by bus.
The probability that on any day Lee goes to work he travels by car is 0.2
When Lee travels to work by car, the probability that he is late is 0.35
When Lee travels to work by bus, the probability that he is late is 0.15
(a) Complete the probability tree diagram for this information.
(b) Work out the probability that on any day Lee goes to work he is late.
The value of r is decreased by 20%
The value of G and the value of m are not changed.
Calculate the percentage increase in the value of g.
Here is trapezium ABCD.
AB and DC are parallel.
Work out the area of triangle BCD.
Give your answer correct to 3 significant figures.
Shape A and shape B are two similar solid shapes.
The ratio of the volume of shape A to the volume of shape B is 1 : 10
Aisha says that the height of shape B is 10 times the height of shape A.
(a) Is Aisha correct?
Give a reason for your answer.
The surface area of shape B is 72cm^{2}
(b) Work out the surface area of shape A.
Give your answer correct to 3 significant figures.
Kelly grows potatoes.
She has 2500 kg of potatoes, correct to the nearest 10 kg.
Kelly is going to put the potatoes into sacks.
Each sack will contain 12.5kg of potatoes.
Kelly assumes that 12.5 kg is measured correct to the nearest 0.1 kg.
(a) Does Kelly definitely have enough potatoes to fill 200 sacks?
You must show how you get your answer.
Kelly’s assumption is wrong.
12.5kg is measured correct to the nearest 0.5kg.
(b) Explain how this could affect your decision in part (a).
Write as a single fraction in its simplest form.
The diagram shows a solid made by joining a solid hemisphere to a solid circular cone.
The centre of the plane face of the cone coincides with the centre of the plane face of the
hemisphere.
The radius of the hemisphere is 3cm.
The radius of the base of the cone is 3cm.
The volume of the solid is 30 πcm^{3}
Work out the total surface area of the solid.
Give your answer as a multiple of π.
Solve algebraically the simultaneous equations
y = 2x^{2} – 3x – 10
2x – y = –2
The shaded shape is rotated 180° about the point (2, 2)
(a) How many of the vertices of the shaded shape are invariant?
Rectangle ABCD is transformed by a combination of two transformations so that
all points on AB are invariant
and there are no other invariant points.
The first transformation is
a reflection in the line with equation y = k, where k is an integer and k ≠ 1
(b) Describe fully the second transformation.
Here is a sketch of the graph of a trigonometric function for 0 ≤ x ≤ 360
(a) Write down a possible equation of the graph.
Here is a sketch of the graph of y = cos(x – p)° + r for 0 ≤ x ≤ 360
(b) Find the value of p and the value of r.
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