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Exam questions: Unit A 2 Calculate a BD [2] b AB [2] 3 Find the length of the side marked x. 4 Calculate the length of this ladder. 5 D 4.2 m 6 11 cm 9.1 cm X 7.8 cm 8 cm 12 10 A x 1.8 m [3] [3] a Show, by calculation, that angle X is not a right angle. [3] b Is angle X greater than 90° or less than 90° Use your calculations from part a to support your decision. [2] B 5 cm C 21 Planning and collecting Here is an exam question … Amy is going to do a survey to find out if people like the new shopping centre in her town. She writes these two questions. a How old are you b This new shopping centre appears to be a success. Do you agree Re-write each question and explain why you would change it. [4] … and its solution a The question may be thought to be personal – some people may not answer. Change to: What is your age Tick the appropriate box. 10–19 20–29 30–39 40–49 50–59 60+ b This is a leading question. Change to: Do you think the new shopping centre is a success Tick the appropriate box. Yes No Don’t know A leading question is one that encourages you to give a particular answer. Amy’s question encourages you to say ‘Yes’. Now try these exam questions 1 You have been asked to select a small sample of the population of your district in order to find out what leisure facilities should be available locally. Here are three possible methods. a Select at random from the telephone directory. b Ask people leaving the local swimming pool. c Deliver questionnaires to houses near where you live. In each case, explain why these methods do not avoid bias. [3] 2 Henry wants to find out about how people exercise. a In each case say why the question is a bad question and write a better one. A Do you agree that it is good idea to exercise regularly Yes No Don’t know [2] B How many hours each week do you exercise 2–4 6−8 more than 8 [2] 20 Revision Notes © Hodder Education 2011
Now write a question to find out how (where) people mostly do their exercise. [1] 3 Yolande is planning a survey. This is one of the questions she plans to ask. How much do you expect to pay for a meal out A: Less than £5 B: About £10 C: A lot more. a Say what is wrong with the question. [1] b Write a better version of this question. [2] 4 Simon wants to find out what cat food cat owners buy and why. Write down three questions he could ask. [3] 22 Sequences 2 Here is an exam question … a These are the first four terms of a sequence: 19, 15, 11, 7 i Find the seventh term. [1] ii Explain how you worked out your answer. [1] b Here is another sequence. 3, 7, 11, 15, ... i Write down the 10th term for the sequence. [1] ii Write down an expression for the nth term. [1] iii Show that 137 cannot be a term in this sequence. [1] … and its solution a i −5 ii −4 each time. b i 39 ii 4n − 1 7 − 4 − 4 − 4 = −5 3 + 9 × 4 = 39 The difference between terms is 4, giving 4n. If n = 1, 4n = 4, so you need to subtract 1. Or, the first term is 3, add 4 (n − 1) times = 3 + 4n − 4 = 4n − 1. iii If 137 is in this sequence then 4n − 1 = 137 4n = 138 n = 138 ÷ 4 n = 34.5 34.5 is not a whole number. Therefore 137 cannot be in the sequence. Now try these exam questions 1 a Write down the term-to-term rule of the following sequences. i 7, 13, 19, 25, 31 [1] ii 32, 25, 18, 11, 4 [1] b Write down the first five terms of the following sequences. i n + 7 [2] ii 5n − 3 [2] 2 The first four terms of a sequence are 3, 8, 13, 18 a Find the 20th term. [1] b Find the nth term. [2] 3 The first five terms of a sequence are 1, 3, 6, 10, 15 a Find the eighth term. [1] b Is the number 55 one of the terms of this sequence Explain how you worked out your answer. [2] 4 a Write down the first five terms of the sequence whose rule is 4n − 1. [2] b Find the i 25th ii 50th term of the sequence. [2] 5 a Write down the term-to-term rule for this sequence of numbers. 25, 19, 13, 7, 1 [1] b Write down the fifteenth term for this sequence of numbers. 1, 7, 13, 19, 25 [1] c Write down the nth term for this sequence of numbers. 5, 11, 17, 24, 29 [2] 23 Constructions 2 Here is an exam question … This is the plan of a garden drawn on a scale of 1 cm to 2 m. Tree A pond is to be dug in the garden. The pond must be at least 4 m from the tree. It must be at least 3 m from the house. Shade the region where the pond can be dug. Show all your construction lines. [3] H o u s e © Hodder Education 2011 Unit A 21
Page 1 and 2: Contents Exam questions A Mathemati
Page 3 and 4: 1 Integers Here is an exam question
Page 5 and 6: 2 The table shows the number of pas
Page 7 and 8: 6 Equations 1 Here is an exam quest
Page 9 and 10: Now try these exam questions 1 The
Page 11 and 12: 50 60 70 80 Temp °C … and its so
Page 13 and 14: 4 P is 8 km from O on a bearing of
Page 15 and 16: Now try these exam questions 1 Harr
Page 17 and 18: 1 2 4 6 6 6 7 Finally add a key. 6
Page 19 and 20: 4 The longer side of a rectangle is
Page 21: 4 ‘Doggy Planet’ sell pet goods
Page 25 and 26: 1 Working with numbers Here is an e
Page 27 and 28: More exam practice 1 Ordinary marma
Page 29 and 30: … and its solution a 3 7 of 35 kg
Page 31 and 32: ... and its solution a i b 1 5 1 5
Page 33 and 34: 3 100 pints is approximately 55 lit
Page 35 and 36: 2 y 7 6 5 4 3 2 1 A b Copy the diag
Page 37 and 38: 2 The diagram shows shapes A and B.
Page 39 and 40: 16 Scatter diagrams and time series
Page 41 and 42: a Complete the scatter diagram. (Th
Page 43 and 44: Graphical solution of simultaneous
Page 45 and 46: 1 Two-dimensional representation of
Page 47 and 48: More exam practice 1 The diagram sh
Page 49 and 50: 3 Will carried out a survey on peop
Page 51 and 52: ... and its solution a Upper bound
Page 53 and 54: a Use these data to find the probab
Page 55 and 56: 8 Using a calculator Here is an exa
Page 57 and 58: Now try these exam questions 1 The
Page 59 and 60: 11 Graphs Distance-time and other r
Page 61 and 62: a How far does Tom live from school

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