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Exam questions: Unit A 2 Algebra 1 Here is an exam question … Simplify these. a k + k + k + k [1] b 8n − 5n [1] c 4 × f × g [1] … and its solution a 4k b 3n c 4fg Now try these exam questions 1 a Write as simply as possible p + p + p + p [1] b Write down, in terms of x, the perimeter of this rectangle as simply as possible. 3 Data collection Here is an exam question ... The staff of a shoe shop counted how many pairs of shoes they had left in stock after a sale. Draw a bar chart to show the following information. Shoe size Number of pairs 3–5 3 6–8 4 9–11 8 12 and over 5 ... and its solution [3] 2x 3x 2 Simplify these. a 5m + 3m − 4m [1] b 6k − 3k + 2k [1] c 4d + 3d − 5d + 2d [1] 3 a Sam has 4 dogs, x cats and y rabbits. Write an expression for the total number of pets he has. [1] b Lee has x CDs. Chloe has 7 more than Lee. Write an expression for the number of CDs they have in total. [1] 4 Simplify these. a 3 × a × 5 × a [2] b 7x + 3y − 2x + 5y [2] 5 A rectangle is 3x units wide and 2y units high. Write down expressions for the perimeter and the area of the rectangle. Give each answer in its simplest form. 3x [1] Frequency 9 8 7 6 5 4 3 2 1 0 0 3 to 5 6 to 8 9 to 11 12 and over Shoe size Now try these exam questions 1 Pali did a survey about school meals. He included the following questions amongst others. State one thing that is wrong with each question. a Don’t you think they should serve fish on Fridays b Would you like to see more salads and more burgers 2y 2y 3x [4] 2 Revision Notes © Hodder Education 2011
2 The table shows the number of passengers travelling on bus number 38B into town during one day. Number of passengers on bus Number of buses (frequency) Less than 10 5 10−19 24 20−29 19 30−39 12 40–49 7 50–59 3 Draw a bar chart to illustrate this information. [3] 3 Amelia surveyed some students in her school to find out each student’s favourite pet. Here are her results. Dog Cat Other Total Boys 24 17 Girls 27 62 Total 38 45 a Copy and complete the table. [3] b How many students did she ask [1] c How many girls chose ‘cat’ [1] 4 These data show the number of text messages received by each of 80 people in a single week. 27 56 32 8 31 90 24 48 52 31 18 34 56 73 52 55 19 18 3 67 56 13 28 35 69 27 38 59 21 53 36 34 71 57 32 43 65 48 33 29 16 36 47 78 41 60 74 36 22 41 25 29 13 27 55 43 32 4 37 63 47 81 92 78 41 57 34 28 19 62 64 24 14 7 34 35 49 36 29 84 a Using groups of 1 to 20, 21 to 40, 41 to 60, 61 to 80, and so on, produce a frequency table to show the data. [2] b Draw a bar chart to illustrate the results. [2] 5 Anil and Ben carried out a survey to find the number of absences per week in their school year group over a period of 40 weeks. The results are shown below. 15 20 31 27 39 52 31 16 17 8 22 31 17 21 16 34 26 27 11 6 4 45 57 31 24 23 22 15 14 43 41 32 27 24 35 18 29 31 23 44 To analyse their results they each decided to group their data and make a frequency table. Frequency a Anil chose these groups: 0−10, 10−20, 20−30, 30−40, 40−50, 50−60. Explain why these groups are unsuitable. [1] b Ben chose these groups: 0−9, 10−19, 20−29, 30−39, 40−49, 50−59. Complete the following frequency table using Ben’s groups of number of absences. Absences Tally marks Frequency 0−9 10−19 20−29 30−39 40−49 50−59 [2] c On the grid below draw a bar chart to show the distribution of number of absences. 13 12 11 10 9 8 7 6 5 4 3 2 1 0 4 Decimals Here is an exam question ... In one day, Dave uses 13.8 units of electricity. The price of electricity is 17.5p per unit. Calculate the cost of the electricity Dave uses that day. [2] ... and its solution Cost = 13.8 × 17.5p = 241.5p = £2.42 to nearest penny Number of absences [3] © Hodder Education 2011 Unit A 3
Page 1 and 2: Contents Exam questions A Mathemati
Page 3: 1 Integers Here is an exam question
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 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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