[PDF] Cambridge Secondary Checkpoint - Mathematics (1112) April 2017 Paper 2.pdf | Plain Text

This document consists of 15 printed pages and 1 blank page. IB17 05_1112_02/7RP © UCLES 2017 [Turn over  Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/02 Paper 2 April 2017 1 hour Candidates answer on the Question Paper. Additional Materials: Calculator Geometrical instruments Tracing paper (optional) READ THESE INSTRUCTIONS FIRST Write your Centre number, candidate number and name on all the work you hand in. Write in dark blue or black pen. You may use an HB pencil for any diagrams, graphs or rough working. Do not use staples, paper clips, glue or correction fluid. DO NOT WRITE IN ANY BARCODES. Answer all questions. Calculator allowed. You should show all your working in the booklet. The number of marks is given in brackets [ ] at the end of each question or part question. The total number of marks for this paper is 50.

2 © UCLES 2017 1112/02/A/M/17 1 Put a ring around the larger fraction in each pair. 4 3 or 107 85 or 20 13 3 2 or 106 [1] 2 (a) Expand the brackets. 4( t – 5) [1] (b) Here is a formula. w = 2 u + 7 Work out the value of w when u = 19 w = [1] 3 Write the missing numbers in the boxes to make the statements correct. (a) 50% of 60 = 5 1 of [1] (b) 4 3 of 60 = % of 50 [1]

3 © UCLES 2017 1112/02/A/M/17 [Turn over 4 Rectangles A and B are identical. Each has a perimeter of 40 cm. They are put together to make a new rectangle. ABNOT TO SCALE The perimeter of the new rectangle is 68 cm. Work out the length and width of rectangle A. length = cm width = cm [2] 5 A country has a total area of 40.8 million hectares. 28.4 million hectares is covered with forest. Work out the percentage of the total area that is covered with forest. Give your answer to one decimal place. %[2]

4 © UCLES 2017 1112/02/A/M/17 6 Safia is at a restaurant. She wants to share the $246 bill equally between 7 people. She uses a calculator to work out how to share the bill. C MC MR 6789 2345 . =01 x + 35.142857 246 7 Safia says, “Everyone needs to pay $35.14” Tick (  ) to show if Safia is correct. Yes No Explain your answer. [1] 7 Chen shares $165 between three friends. The ratio he uses is Blessy : Carlos : Gabriella 1 : 4 : 6 Work out how much Carlos receives. $ [1]

5 © UCLES 2017 1112/02/A/M/17 [Turn over 8 Yuri is investigating the hypothesis: Girls are more likely to play a musical instrument than boys. He collects data from 40 boys and 80 girls. He finds that  altogether 91 of the people asked play a musical instrument,  20 of the girls do not play a musical instrument. (a) Complete the table using this information. Boys Girls Total Play a musical instrument Do not play a musical instrument Total 40 80 120 [2] (b) Complete the sentences. The percentage of girls who play an instrument is %. The percentage of boys who play an instrument is %. Tick (  ) to show if the data supports Yuri’s hypothesis. Yes No [2]

6 © UCLES 2017 1112/02/A/M/17 9 Show that 346 is less than 12.9 [1] 10 The cost of posting a parcel depends on its mass. Mass of parcel Cost Up to 0.25 kg $1.20 0.25 kg up to 0.5 kg $2.15 0.5 kg up to 1 kg $3.25 1 kg up to 2 kg $4.70 2 kg and over $6.35 Mike posts 7 bars of chocolate in a parcel. Each bar has a mass of 0.14 kg. The total mass of the packaging is 95 g. Work out how much it will cost Mike to post his parcel. You must show how you worked out your answer. $ [2]

7 © UCLES 2017 1112/02/A/M/17 [Turn over 11 A biased spinner has 6 sides. 1 2 3 4 56 The table shows the probabilities for some of the outcomes. Outcome 1 2 3 4 5 6 Probability 0.3 0.15 0.28 The remaining three outcomes are equally likely. Work out the probability that the spinner lands on 5 [2] 12 An adult lion is 1.21 metres tall. A baby lion is 55 centimetres tall. Write the ratio of the height of the adult lion to the height of the baby lion. Give your answer in its simplest form. : [2]

8 © UCLES 2017 1112/02/A/M/17 13 (a) Calculate the value of   4 5  x x when x = –3 [1] (b)   4 5  x x = 286 Use trial and improvement to find the positive solution of this equation. Show your trials in the table. You may not need all the rows. One value has been done for you. x   4 5  x x 10 90 x = [2] (c) Expand and simplify  4 5 x x [2]

9 © UCLES 2017 1112/02/A/M/17 [Turn over 14 A car travels 240 km in 3 4 3 hours. Calculate the average speed of the car. km/h [2] 15 Here are the times, in seconds, that 7 adults take to run a race. 40.8 46.3 49.2 38.2 44.0 42.9 45.5 Hassan calculates the mean time. He writes, “The mean time is 43.8428571 seconds.” (a) Write a comment about the accuracy that Hassan uses in recording the answer. [1] (b) Write his answer to a more suitable degree of accuracy. seconds [1]

10 © UCLES 2017 1112/02/A/M/17 16 Anastasia owns a café. She records the number of hot drinks and the number of cold drinks she sells on each of 10 days. Number of hot drinks 78 83 70 75 90 97 60 68 84 74 Number of cold drinks 63 60 72 66 53 64 80 76 65 82 The data for the first 6 days has been plotted on the scatter graph. 70 60 50 40 8090 70 60 50 80 90 Number of hot drinks Number of cold drinks 100 (a) Complete the scatter graph by plotting the data for the remaining 4 days. [2] (b) State the type of correlation shown on the scatter graph. [1]

11 © UCLES 2017 1112/02/A/M/17 [Turn over 17 The n th term of a sequence is 2n 2 + 3 Work out the first three terms of this sequence. ,, [1] 18 The diagram shows a right-angled triangle with base x cm and height (x – 2) cm. x cm (x – 2) cmNOT TO SCALE Write down an expression for the area of the triangle. cm 2 [1] 19 Rajiv buys a book for $2.50 He sells the book for $4.29 Calculate his percentage profit. %[2]

12 © UCLES 2017 1112/02/A/M/17 20 (a) A point lies on the line 3x + 2y = 12 The x-coordinate of the point is 1 Work out the y-coordinate. [2] (b) Work out the coordinates of the point where the line 3x + 2y = 12 crosses the x-axis. ( , ) [1] (c) Draw the graph of 3x + 2y = 12 y x 0 7 6 5 4 3 2 1 –1 –1 1 2 3 4 5 6 7 8 –2 –2 8 [1]

13 © UCLES 2017 1112/02/A/M/17 [Turn over 21 Complete the table to show the sum of the interior angles for different polygons. Number of sides of polygon Sum of the interior angles 5 540° 720° 9 [2] 22 Pierre walks 24 km due north then 7 km due east. Calculate how far he is from his starting position. km [2]

14 © UCLES 2017 1112/02/A/M/17 23 The diagram shows a garden ABCD. NOT TO SCALE AB DC 9 m 6 m2.5 m 3 m The shaded area is covered with grass. The area covered with grass is formed from two semicircles and a rectangle. Calculate the area covered with grass. m 2 [3]

15 © UCLES 2017 1112/02/A/M/17 24 The diagram shows a quadrilateral. A teacher asks her class to show how the quadrilateral tessellates. The work of two students is shown. Mia’s work Lily’s work Lily has shown a tessellation of the quadrilateral. Explain why Mia has not shown a tessellation of the quadrilateral. [1]

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