Edexcel GCSE Maths Paper 3: Calculator Higher June 2019 question paper 1MA1/3H

E {1, 2, 3, 4, 5, 6, 7, 8, 9} A {1, 5, 6, 8, 9} B {2, 6, 9}

Complete the Venn diagram to represent this information.

A number is chosen at random from the universal set E.

Find the probability that the number is in the set A B

Katy invests £200 000 in a savings account for 4 years. The account pays compound interest at a rate of 1.5 % per annum. Calculate the total amount of interest Katy will get at the end of 4 years.

The table shows information about the heights of 80 plants.

Height (h cm)	Frequency
10 h 20	7
20 h 30	13
30 h 40	14
40 h 50	12
50 h 60	16
60 h 70	18

Find the class interval that contains the median.

On the grid, draw a frequency polygon for the information in the table.

Sean has drawn a time series graph to show the numbers, in thousands, of visitors to a fun park.

Write down two things that are wrong or could be misleading with this graph.

The diagram shows a hexagon. The hexagon has one line of symmetry.

117°

Angle ABC 117° Angle BCD 2 angle CDE Work out the size of angle AFE. You must show all your working.

Give your answer correct to 3 significant figures.

ABC is a right-angled triangle.

Here is Sarah’s method to find the length of BC.

= 100 BC = 10

What mistake has Sarah made in her method?

He draws triangle XYZ.

Explain why Roy’s diagram is not correct.

A company has to make a large number of boxes. The company has 6 machines. All the machines work at the same rate. When all the machines are working, they can make all the boxes in 9 days. The table gives the number of machines working each day.

Work out the total number of days taken to make all the boxes.

Marie invests £8000 in an account for one year. At the end of the year, interest is added to her account. Marie pays tax on this interest at a rate of 20% She pays £28.80 tax. Work out the percentage interest rate for the account.

In May 2019, the distance between Earth and Mars was 3.9 10₇ km. In May 2019, a signal was sent from Earth to Mars. Assuming that the signal sent from Earth to Mars travelled at a speed of 3 10₅ km per second,

how long did the signal take to get to Mars?

The speed of the signal sent from Earth to Mars in May 2019 was actually less than 3 10₅ km per second.

How will this affect your answer to part (a)?

Patrick has to work out the exact value of 64 Patrick says,

Explain what is wrong with what Patrick says.

The density of ethanol is 1.09 g/cm³ The density of propylene is 0.97 g/cm³ 60 litres of ethanol are mixed with 128 litres of propylene to make 188 litres of antifreeze. Work out the density of the antifreeze. Give your answer correct to 2 decimal places.

The diagram shows a rectangle, ABDE, and two congruent triangles, AFE and BCD.

area of rectangle ABDE area of triangle AFE + area of triangle BCD AB: AE 1: 3 Work out the length of AE.

The graph of the curve C with equation y f(x) is transformed to give the graph of the curve S with equation y f(x) 3 The point on C with coordinates (7, 2) is mapped to the point Q on S. Find the coordinates of Q.

Here are the first six terms of a quadratic sequence.

Find an expression, in terms of n, for the n th term of this sequence.

Here are four graphs.

The graphs represent four different types of function f. Match each description of the function in the table to the letter of its graph.

Show that (2x + 1)(x 3)(3x + 7) can be written in the form ax³ + bx² + cx d where a, b, c and d are integers.

u 26.2 correct to 3 significant figures a 4.3 correct to 2 significant figures

Calculate the upper bound for the value of D. Give your answer correct to 6 significant figures. You must show all your working.

The lower bound for the value of D is 78.6003 correct to 6 significant figures.

By considering bounds, write down the value of D to a suitable degree of accuracy. You must give a reason for your answer.

Solve algebraically the simultaneous equations

The histogram gives information about the distribution of the weights of some onions grown by a farmer.

Onions less than 60 grams in weight are used for pickling. Onions greater than 120 grams in weight are sold at the market. The rest of the onions are sent to a food processing factory.

A pie chart is drawn using the information opposite to show what the farmer does with the onions he grows.

The angle of the sector for the onions sent to the food processing factory is x °. Work out the value of x.

The diagram shows a circle, centre O.

AB is the tangent to the circle at the point A. Angle OBA 30° Point B has coordinates (16, 0) Point P has coordinates (3 p, p) Find the value of p. Give your answer correct to 1 decimal place. You must show all your working.

The diagram shows the positions of three towns, Acton (A), Barston (B) and Chorlton (C).

Chorlton is 9 km from Barston on a bearing of 150° Find the bearing of Chorlton from Acton. Give your answer correct to 1 decimal place. You must show all your working.