Questions and Worked Solutions for Edexcel GCSE Mathematics 1MA1 1H 2018 Mock Exam (Non-Calculator)
Edexcel GCSE 1MA1 1H 2018 Mock Exam (Non-Calculator) Solutions
Write 136 as a product of its prime factors
A biased spinner can land on red, on blue, on green or on yellow.
John is going to spin the spinner.
The table shows each of the probabilities that the spinner will land on red, on blue or on green
(a) Complete the table.
Hayley is going to spin the spinner 60 times.
(b) Work out an estimate for the number of times the spinner will land on red.
An empty tank is a cylinder of height 5 metres.
Water is poured into the tank at a constant rate.
It takes 4 minutes to fill the tank completely with water.
Malcolm draws this graph to show the depth of water in the tank as water is poured into the tank
Write down two things wrong with this graph
Describe fully the single transformation that maps triangle A onto triangle B
This accurate diagram shows three points A, B and C.
Region R contains all the points that are less than 4 cm from each of the points A and C and nearer to point B than to point A
Show, by shading, the region R.
Each student at a college is going to be given a notebook.
The colour of each notebook will be red or blue or green or orange.
Bill takes a sample of 50 of the students at the college.
He asks each of these students what colour of notebook they want.
The table gives Bill’s results.
There are 3000 students at the college.
(a) Work out how many red notebooks Bill should buy
(b) Write down one assumption that you made in answering part (a).
Explain how your answer would be affected if this assumption were not true.
The plan and side elevation of a solid prism are shown on the grid.
On the grid, draw the front elevation of the prism from the direction of the arrow.
Cars are made in a factory for 24 hours every day.
In the factory a car is made every 209 seconds.
(a) Work out an estimate for the number of cars made in the factory in one year.
You must show how you get your answer.
(b) Is your answer to part (a) an underestimate or an overestimate?
Give a reason for your answer.
Here is a stem and leaf diagram for the heights, in mm, of 25 seedlings.
Work out the interquartile range.
Adam buys a computer.
20% VAT is added to the price of the computer.
Adam has to pay a total of £900
Work out the price of the computer before VAT is added.
(a) Solve 3x2 = 108
(b) Factorise x2 − 2x − 35
u = 3t/4 + 2
(c) Make t the subject of the formula.
(a) Write down the value of 250
(b) Find the value of 49-1/2
(c) Find the value of 642/3
Ben fills a glass with orange juice and lemonade in the ratio 1 : 4 by volume.
He mixes the liquid that is in the glass.
Ben drinks 1/4 of this liquid.
He then fills the glass using orange juice.
Work out the ratio of orange juice to lemonade, by volume, that is now in the glass.
Give your ratio in its simplest form.
Ayshab walked x miles at 4 mph.
She then walked 2x miles at 3 mph.
(a) Find Ayshab’s average speed for the whole journey.
Give your answer as a mixed number.
The second part of the journey took 25 minutes longer than the first part of the journey.
(b) Find the value of x
f(n) = (2n + 1)2 − (2n − 1)2 − 10 where n is an integer.
Prove that f(n) is never a multiple of 8
y is inversely proportional to the square of x.
y = 1 when x = 10
Find the value of y when x = 5
A, B and C are points on a circle, centre O.
CT is the tangent to the circle at C.
Prove that angle BAC = angle BCT
The graph gives the speed, in km/h, of a ship t hours after leaving a port.
(a) Find an estimate of the gradient of the graph when t = 1.3
You must show how you get your answer
(b) Interpret your answer to part (a) in the context of the question.
You must give units with your interpretation.
Here are two solid prisms, prism A and prism B.
The cross section of prism A is a sector, with angle 45°, of a circle of radius 10cm.
The prism has a depth of 10cm and a mass of 40π grams.
The cross section of prism B is a sector, with angle 60°, of a circle of radius 10cm.
The prism has a depth of 5cm and a mass of 50π grams.
Express the difference in the densities of the two prisms as a percentage of the density of prism A
Show that can be written in the form a + b√2 where a and b are integers.
The diagram shows the circle with equation x2 + y2 = 100
The unit of length on both axes is one centimetre.
The circle intersects the positive y-axis at the point A.
The point C on the circle has coordinates (6, −8)
The straight lines AB and CB are tangents to the circle.
Find the area of quadrilateral ABCO.
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