Pre Public Examination March 2017 GCSE Mathematics (AQA style) Foundation Tier Paper 2F. Question Mark. out of

Transcription

1 Question Mark out of Pre Public Examination March 2017 GCSE Mathematics (AQA style) Foundation Tier Paper 2F Name Class TIME ALLOWED 1 hour 30 minutes INSTRUCTIONS TO CANDIDATES Answer all the questions. Read each question carefully. Make sure you know what you have to do before starting your answer. You are permitted to use a calculator in this paper. You may use the π button on your calculator or you may take the value of π to be Do all rough work in this book. INFORMATION FOR CANDIDATES The number of marks is given in brackets at the end of each question or part question on the Question Paper. You are reminded of the need for clear presentation in your answers. The total number of marks for this paper is Total 80 The PiXL Club Limited 2017 This resource is strictly for the use of member schools for as long as they remain members of The PiXL Club. It may not be copied, sold nor transferred to a third party or used by the school after membership ceases. Until such time it may be freely used within the member school. All opinions and contributions are those of the authors. The contents of this resource are not connected with nor endorsed by any other company, organisation or institution.

2 There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED The PiXL Club Limited page 2

3 Answer all questions in the spaces provided 1 Which of these decimals is the same as 3 4? Circle your answer x Estimate the size of the angle marked x. Circle your answer Which of the following is a correct way to write quarter to seven in the evening? Circle your answer. 19:15 6:45am 18:45 7:15pm The PiXL Club Limited page 3

4 4 Members of Class B5 were asked which football team they supported. They all chose one from City, Rovers, Town or United. Football clubs supported by members of Class B5 15 Frequency City Rovers Town United Club Here are four statements about the bar chart. Tick the boxes next to the two statements that are true. The most popular team was Rovers. 8 members of Class B5 support Town. Twice as many members of Class B5 support Town as support United. The total number of members of Class B5 is 30. The PiXL Club Limited page 4

5 5 Find the remainder when is divided by 28. Answer 6 What is the angle between the hour hand and the minute hand of a clock when it is reading 2:30? Not drawn accurately Answer The PiXL Club Limited page 5

6 7 Recipe Makes 8 scones 180g self raising flour pinch of salt 40g butter 20g caster sugar 120ml milk 1 free-range egg, beaten, to glaze 7 (a) Marion wants to make 20 scones. How much self raising flour will she need? Answer g 7 (b) Marion has 1 kg of self raising flour, 90g of butter and 50g of caster sugar. 2 She has plenty of salt, milk and eggs. Is she able to make 20 scones? Tick a box. Marion has enough to make 20 scones. Marion doesn t have enough to make 20 scones. You must show how you know. The PiXL Club Limited page 6

7 8 (a) Shade in two more squares so that the shaded shape has exactly one line of symmetry. 8 (b) Shade in two more squares so that the shaded shape has rotational symmetry of order 2, but no lines of symmetry. The PiXL Club Limited page 7

8 9 A magazine editor is creating a page for a magazine. The page is 21cm wide and 30cm tall. It is to include a photograph that is 9cm wide and 14cm tall, and a column of text that is 7cm wide. 9cm 7cm 14cm Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Vivamus eget mauris. Donec ultricies, ante et tristique viverra, leo ante consectetuer ipsum, vel rutrum tortor est at turpis. Praesent commodo odio elementum felis. Aliquam erat volutpat. Sed porttitor laoreet ligula. Vestibulum ante ipsum primis in faucibus orci luctus et ultrices posuere cubilia Curae; Pellentesque sit amet turpis. In et pede. Proin ante. In porta diam eu turpis. Donec iaculis dui id orci cursus porta. Nullam dignissim sapien et justo. Vestibulum iaculis. Integer arcu nunc, aliquet sit amet, convallis ac, cursus ut, orci. Pellentesque gravida. Nulla ut neque id metus fermentum volutpat. Integer tempus dolor eu eros accumsan rutrum. Integer eu ipsum. Vestibulum eros quam, commodo condimentum, volutpat sed, egestas ac, leo. Duis vehicula tortor et orci. Mauris orci enim, porttitor quis, varius ac, venenatis ac, orci. Vivamus at ipsum. Nunc consequat lacus ac mi. Cras ultrices elit sed ligula. Etiam purus ante, viverra quis, congue in, ultrices in, est. Phasellus fermentum rhoncus odio. In hac habitasse platea dictumst. In imperdiet. Mauris eget tellus at velit viverra bibendum. Quisque in magna vitae nunc commodo ultricies. Aliquam faucibus neque sed justo. Sed tempus, tellus fermentum sodales sodales, lorem quam adipiscing leo, non sagittis sapien arcu eget nisl. Nulla facilisi. Nunc non diam. Sed eu leo. Fusce id nibh. Donec ultricies auctor erat. Pellentesque habitant morbi tristique senectus et netus et malesuada fames ac turpis egestas. Etiam tempus. Vestibulum neque eros, facilisis sit amet, dictum ac, lacinia eu, 30cm 21cm 9 (a) What percentage of the area of the page is taken up by the photograph? [3 marks] Answer % The PiXL Club Limited page 8

9 9 (b) The printer can use a maximum of 30% of the area of the page for the column of text. Find the maximum height of the column of text. Answer cm 9 (c) You are told that the width of the page is correct to the nearest whole centimetre. Tick the boxes next to the two statements that are true. The width could be 207 mm. The width could be 21.7 cm. The error interval for the width is 20 cm width < 22 cm. The error interval for the width is 20.5 cm width < 21.5 cm. The PiXL Club Limited page 9

10 10 (a) The number line shows the solution set of an inequality. What is the inequality? Circle your answer. 1 < x < 4 1 < x 4 1 x < 4 1 x 4 10 (b) Write down a number which satisfies the inequality and which is also less than zero. Answer The PiXL Club Limited page 10

11 11 (a) A polygon has n sides. What, in degrees, is the total of its interior angles? Circle your answer. 180n 180n n n 11 (b) F E A H x D B G C The diagram shows a regular hexagon ACDEFG and a square AGCH. Find the size of angle BAG, marked x on the diagram. [4 marks] Answer The PiXL Club Limited page 11

12 people are asked whether they are left handed or right handed. 24 of them are left handed. Left handed 150 Female Right handed Male 80 Left handed 11 Right handed 12 (a) Complete the frequency tree. [4 marks] 12 (b) What is the ratio of left handed to right handed people? Give your answer in its simplest form. Answer : The PiXL Club Limited page 12

13 13 Standard one 330ml can 65 pence Multibuy six 330ml cans 3.75 Go Large one 490ml can 95 pence Fruit juice is sold in cans. Which combination of price and quantity gives the best value for money? Tick a box [3 marks] Standard Multibuy Go Large You must show your working out. The PiXL Club Limited page 13

14 14 The pie charts represent the numbers of animals at a rescue centre in February and June. February June others others rabbits dogs rabbits dogs cats cats 14 (a) There were 450 animals at the rescue centre in February. How many of them were dogs? Answer The PiXL Club Limited page 14

15 14 (b) Amber says in February, there were twice as many dogs as rabbits at the rescue centre. Amber is right. Explain how you know. 14 (c) Ivy says there were more dogs at the rescue centre in February than in June. Ivy could be wrong. Explain how you know. The PiXL Club Limited page 15

16 15 Here is a number machine. input x 3 4 output y 15 (a) Work out the output when the input is 14 Answer 15 (b) Work out the input when the output is 14. Answer 15 (c) Write down y as an expression in terms of x. Answer The PiXL Club Limited page 16

17 16 A box contains red, yellow, green and blue counters. 60 of the counters are red. There are twice as many green counters as blue counters. The table shows the probabilities that a counter of each colour is taken from the box. Two of the probabilities are missing. Colour Red Yellow Green Blue Probability How many green counters are there in the box? [4 marks] Answer 17 The first term of a geometric sequence is 1. Its third term is 9. Which of these could be its fourth term? Circle your answer The PiXL Club Limited page 17

18 18 (a) Paul is stranded and calls the rescue services for assistance. He does not know where he is, but the rescuers can narrow down their search using his mobile phone signal. They know that he is closer to Rhydtalog than Minera. They know that he is less than 3km from Minera. Show, on the map, which is drawn to scale, the area within which the rescuers should search for Paul. Leave on the diagram any construction lines that you use. [3 marks] Rhydtalog Minera North Scale: 2cm represent 1km The PiXL Club Limited page 18

19 18 (b) The bearing of Llanfynydd from Rhydtalog is 117. Llanfynydd is due north of Minera. Show, accurately, the position of Llanfynydd on the map. 18 (c) The scale of the map is stated to be that 2cm represent 1km. Express this as a ratio, in the form 1 : n. Answer 1 : The PiXL Club Limited page 19

20 19 A gold bar is cast in the shape of a prism, the cross section of which is a trapezium. The dimensions of the prism are shown in the diagram. 7cm 4cm 22cm 8cm The density of gold is 19 grams per cm 3. One gram of gold costs Find the value of the gold used to make this gold bar. Give your answer to the nearest thousand pounds. [5 marks] Answer The PiXL Club Limited page 20

21 20 Make x the subject of the formula y = mx + c. Answer The PiXL Club Limited page 21

22 21 (a) The diagram shows a quadrilateral, Q. y Q x -2-3 Enlarge shape Q. Use a scale factor of 2 and centre of enlargement ( 3, 1 ). Label your image R. The PiXL Club Limited page 22

23 21 (b) The diagram shows two shapes, S and T. y T x -2-3 S Describe fully the single transformation that transforms shape S to shape T. The PiXL Club Limited page 23

24 22 (a) Expand ( x 4 )( 2x + 1 ), simplifying your answer. Answer 22 (b) Solve the equation x 2 + 3x 28 = 0. [3 marks] Answer The PiXL Club Limited page 24

25 23 Bree walks to her friend s house. The journey is shown on this distance-time graph. 3 Distance (kilometres) :00 09:20 09:40 10:00 Time 10:20 23 (a) Find the speed at which Bree walked to her friend s house. Give your answer in kilometres per hour. Answer km/h 23 (b) Bree stays at her friend s house for half an hour. She then walks home at the same speed as when she walked to her friend s house. Show this on the distance-time graph. The PiXL Club Limited page 25

26 24 A cylindrical piece of wood is carved to make a cylindrical bowl 1 centimetre thick. wooden cylinder cylindrical bowl 1cm 6cm 6cm 1cm 12cm 12cm 24 (a) Find the volume of wood in the wooden cylinder. Answer cm 3 24 (b) What is the volume of wood used to make the cylindrical bowl? Answer cm 3 The PiXL Club Limited page 26

27 There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED The PiXL Club Limited page 27

28 There are no questions printed on this page DO NOT WRITE ON THIS PAGE ANSWER IN THE SPACES PROVIDED The PiXL Club Limited page 28