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Exam questions: Unit B More exam practice 1 2 B 60° A a 40° b D 60° 60° C a Find the size of angle a. b What type of triangle is ABC c Find the size of angle b. [3] 34° ... and its solution a 6x − 8 − 5x − 15 = x − 23 Take care with the signs. −5 × +3 = −15 b 3a(a + 2b) 3a is common to both terms. c i H = 17 − 6 = 11 ii H = 17 − −2 = 19 d 8a 6 Mulitply the numbers and add the indices. x y Find the size of x and y. Give reasons for your answers. [4] 3 Here is a sketch of a regular pentagon, centre O. B x A O a Work out x. b What type of triangle is OAB c Draw a circle of radius 5 cm and construct a regular pentagon with its vertices on the circle. [5] 4 The interior angle of a regular polygon is 168°. Find the number of sides of the polygon. [3] 8 Powers and indices Here is an exam question … a Expand the brackets and write this expression as simply as possible. 2(3x − 4) − 5 (x + 3) [4] b Factorise this expression completely. 3a 2 + 6ab [2] c For the formula H = 17 − 0.5a, work out the value of H when a takes each of these values. i a = 12 ii a = −4 [4] d Simplify 2a 4 × 4a 2 . [2] Now try these exam questions 1 Which of these are correct i p 3 = p × 3 ii p 3 = p + p + p iii p 3 = p × p × p iv p 3 = p 2 + p [1] 2 Simplify these. a x 4 y 3 × x 3 y 2 [2] b 3x 2 y 3 × 2xy 2 [2] 3 a Explain how you know that 28 is about 5.3. [1] b Estimate the value of 95 [1] 4 a Work out. i 17 3 ii 1225 [1 + 1] b Simplify. i 8 7 ÷ 8 4 ii 3 7 3 5 × 6 [1 + 1] 3 5 a Put a circle round the term which is equal to r × r × r × r × r 5r r + 5 r 5 r5 [1] 3 b Work out 729 [1] 9 Decimals and fractions Here is an exam question ... a Write the following decimals as fractions. i 0.2 ii 0.375 [3] b Find the sum of your fractions in part a. Give your answer as a fraction. [3] 28 Revision Notes © Hodder Education 2011
... and its solution a i b 1 5 1 5 ii 375 1000 3 8 3 8 + = 0.2 + 0.375 = 0.575 Converting this to a fraction = 575 1000 = 23 40 Divide numerator and denominator by 125, that is by 5 and by 5 and by 5. Divide numerator and denominator by 25. Now try these exam questions 1 Write each of the following fractions as a decimal. a 2 5 b 2 9 [3] 2 a Work out 2 5 + 1 3 [2] b Convert 2 5 and 1 3 to decimals and add them. [2] c What do the answers to parts a and b show [1] 3 Using 0.1 . = 1 9 , 0.0. 1 . = 1 99 , 0.0. 01 . = 1 999 write these decimals as fractions in their simplest terms. a 0.5 . [1] b 0.5 . 6 . [1] c 0.6 . 12 . [2] 4 Convert these decimals into fractions. Write your answers in their lowest terms. a 0.55 [2] b 0.036 [2] c 0.2246 [2] 5 a Write these numbers in order, smallest first. 3.3 0.303 0.33 3.03 [2] b Write down a decimal which is between 0.207 and 0.27. [1] 10 Real-life graphs … and its solution a Weight (T tonnes) b i 150 tonnes ii About 33 m 3 c About 167 m 3 600 500 400 300 200 100 (i) (ii) 0 10 20 30 40 50 60 70 80 90 100 Volume (V m 3 ) If the volume of coal is zero, weight will be zero. Draw a straight line from (0, 0) to (100, 600). Now try these exam questions 1 The table below shows the distance in kilometres a car travels in given times (in hours). Time (h) 0 1 2 3 4 Distance (km) 0 70 140 210 280 a i Draw a pair of axes. Put time on the horizontal axis using a scale of 2 cm to 1 hour. Put distance on the vertical axis using a scale of 2 cm to 50 km. [1] ii Plot the points (0, 0) and (4, 280) and join them with a straight line. [1] b Find the distance travelled after i 1.5 h. [1] ii 3.5 h. [1] c Find the time taken to travel i 100 km. [1] ii 250 km. [1] 2 This conversion graph is for pounds (£) and Australian dollars (AU$), for amounts up to £100. 250 Here is an exam question … The weight (T tonnes) of coal and its volume (V cubic metres) are related. 100 m 3 of coal weighs 600 tonnes. a Draw a conversion graph for volume (V) and weight (T ). [3] b Use your graph to find i the weight of 25 m 3 of coal. [1] ii the volume of 200 tonnes of coal. [1] c Use this information to estimate the volume of 1000 tonnes of coal. [1] Australian dollars (AU$) 200 150 100 50 0 10 20 30 40 50 60 70 80 90 100 Pounds (£) © Hodder Education 2011 Unit B 29
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 and 22: 4 ‘Doggy Planet’ sell pet goods
Page 23 and 24: Now write a question to find out ho
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 its solution a 3 7 of 35 kg
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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