P2 GCSE Maths best-guess paper 2018

Transcription

1 P2 GCSE Maths best-guess paper 2018 Name: Class: Date: Time: 90 minutes Marks: 80 marks This is a predicted paper based on topics that have already come up in P1 Comments: This is a best guess paper and not an actual prediction of what will come up.

2 Q1. Circle the inequality shown by the diagram. 7 < x < 6 7 x < 6 7 < x 6 7 x 6 (Total 1 mark) Q2. On a circle, which of these is the longest? Circle your answer. chord circumference diameter radius (Total 1 mark) Q3. What is 18 as a percentage of 72? Circle your answer. 18% 20% 25% 40% (Total 1 mark) Q4. How many degrees does the hour hand on a clock turn in 9 hours? Circle your answer (Total 1 mark) Q5.

3 I am thinking of a number. It has two digits. It is 3 more than a number that is both a square and a cube number. Is the number I am thinking of a prime number? Tick a box. Prime Not prime You must show working to support your answer. (Total 2 marks) Q6. Gill stacks 20 bricks in one minute. She assumes she can continue at the same rate. She says, I will stack 8400 bricks in 7 hours. Tick one box to show whether she is likely to be accurate. No, she is likely to stack fewer bricks Yes, she is likely to be accurate No, she is likely to stack more bricks Give working and a reason to support your answer. (Total 2 marks)

4 Q7. Here is a centimetre grid. A (3, 5), B (0, -3) and C (-5, 2) are three points. What type of triangle is ABC? You must show your working, which may be on the diagram. (Total 2 marks) Q8.

5 (a) Circle the number that is an integer power of (b) Work out as a power of 5 Circle your answer (Total 2 marks) Q9. Expand and simplify 2(w + 3) + 4(w 1) (Total 2 marks) Q10. Here are three events for an ordinary fair dice. A Roll an odd number B Roll a number greater than 6 C Roll an even number less than 3 Draw and label arrows to show the probabilities of events B and C on the probability scale. (Total 2 marks) Q11. Here is information about five basketball teams.

6 (a) Which team had the most home wins? (b) Which two teams had the same number of away wins? Answer and (c) How many more home wins than away wins were there altogether? (3) (Total 5 marks)

7 Q12. Jack drives 95 miles. He drives at an average speed of 38 mph He starts his journey at 7 am What time does he arrive? Q13. (a) Here is a number machine. Work out the output when the input is 9. (b) Here is the same number machine. Work out the input when the output is 9. (c) Here is a different number machine. Complete possible operations for this number machine.

8 Q14. Textbooks are stored on two shelves. Each shelf is 0.72 metres long. Each textbook is 30 millimetres wide. Not drawn accurately Can 50 textbooks be stored on these shelves? You must show your working.

9 Q15. Han is trying to work out the size of angle x. (a) He assumes that ABC is a straight line. What answer should he get? Answer degrees (2) (b) In fact, angle ABC is 178, as shown. What effect does this have on the size of angle x?

10 Q16. You will need a ruler and a pair of compasses to answer this question. The diagram shows a plan of a garden. The hedge DE is 20 metres long. Drawn to scale A tree is to be planted so that it is 20 metres from D and the same distance from the wall as from the fence. Construct the position of the tree on the plan.

11 Q17. The diagram shows a sequence of patterns. (a) Work out the number of circles in Pattern 6 (b) Complete the rule below. (c) Which Pattern number has 51 circles? Pattern Q18.

12 Not drawn accurately Work out the length AC. Give your answer to 1 decimal place. Answer cm (Total 4 marks) Q19. (a) Simplify fully 3a + 4b + a 2b Answer (2) (b) Solve 4x 7 = 11 x = (2) (Total 4 marks) Q20.

13 800 is invested for 3 years at 2% simple interest per year. Work out the total interest. Answer... Q21. (a) Work out the highest common factor (HCF) of 15 and 20 (b) Work out the lowest common multiple (LCM) of 6 and 8 (2) Q22.

14 50 people took a test. Before the test, they predicted whether they would pass or fail. 30 people predicted they would pass. 36 people did pass. Of these 36 people, three times as many predicted pass as predicted fail. Complete the frequency tree. Q23. (a) Expand and simplify (x + 5)(x + 9)

15 (2) (b) Factorise fully 5x 2 10xy (2) (Total 4 marks) Q24. In the Venn diagram ξ = Whole numbers from 1 to 12 inclusive M = Multiples of 3 F = Factors of 24 (a) Put the numbers from 1 to 12 in the Venn diagram. (3) (b) Complete the table to show how many numbers are in each part of the Venn diagram. Multiples of 3 Not multiples of 3 Totals

16 Factors of 24 Not factors of 24 Totals 12 (3) (Total 6 marks) Q25. The diagram shows a circle inside a square. Not drawn accurately Work out the area of the circle. Answer cm 2 Q26. Write 140 as a product of prime numbers in index form.

17 Q27. Here are four triangles. (a) Which two triangles are congruent? Circle your answers. A B C D (b) Circle the reason for your answer to part (a). Circle your answers. SSS ASA SAS RHS (Total 2 marks) Q28.

18 Paul won a race with a time of 71.3 seconds. This time, t, is to the nearest tenth of a second. Complete the error interval due to rounding. Answer... t <... (Total 2 marks) Q29. This shape is made from identical quarter circles. Not drawn accurately Work out the perimeter of the shape. Answer cm (Total 4 marks)

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