[PDF] Cambridge Secondary Checkpoint - Math (1112) April 2016 Paper 1.pdf | Plain Text

This document consists of 20 printed pages. IB16 05_1112_01/5RP © UCLES 2016 [Turn over   Cambridge International Examinations Cambridge Secondary 1 Checkpoint MATHEMATICS 1112/01 Paper 1 April 2016 1 hour Candidates answer on the Question Paper. Additional Materials: 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. NO 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 2016 1112/01/A/M/16 1 Fatima has a phone. (a) The time on the phone is 17:23 Write this time using the 12-hour clock. [1] (b) Fatima starts a phone call at 18:32 The phone call finishes at 19:16 Work out the length of the phone call. minutes [1] 2 Work out (a) 11.28 – 2.843 [1] (b) 16.8 × 7 [1]

3 © UCLES 2016 1112/01/A/M/16 [Turn over 3 Draw a line to match each fraction to its equivalent percentage. The first one has been done for you. 1 5 3 20 7 50 4 25 14% 15% 16% 20% [1] 4 (a) Put a ring around the number that is divisible by 4 182 218 281 812 [1] (b) Tick () to show whether each of these statements is true or false. True False 15 2 = 225 144 = 72 42 = 64 [1]

4 © UCLES 2016 1112/01/A/M/16 5 Natasha is making a pattern using matchsticks. The first three patterns are shown. Pattern 1 Pattern 2 Pattern 3 Complete the table. Pattern number 1 2 3 4 8 Number of matchsticks 5 8 11 [2] 6 Here are four number cards. 7 5 3 9 The four cards are arranged to make a 4-digit whole number. Explain why this number must be divisible by 3 [1]

5 © UCLES 2016 1112/01/A/M/16 [Turn over 7 (a) Work out 8 × 3 1 Give your answer as a mixed number. [1] (b) Work out 6 ÷ 3 2 Give your answer in its simplest form. [1]

6 © UCLES 2016 1112/01/A/M/16 8 The diagram shows triangle ABC. y x CBCB A1 2 3 4 5 6 –6 –5 –4 –3 –2 –14 3 2 1 –1 –2 –3 –40 (a) Write down the coordinates of B. ( , ) [1] (b) Triangle ABC is reflected in the x-axis. Write down the coordinates of the image of point A. ( , ) [1]

7 © UCLES 2016 1112/01/A/M/16 [Turn over 9 Suki is exploring how the amount of sun affects the growth of three bean plants. Each day she records the height of the plants. 1 0 2 2 4 6 8 10 12 14 Height in cm 16 18 20 22 24 26 28 30 34 5 6 7 Day full sun some sun shade Key:8 9 10 11 12 13 14 some sun shade full sun (a) On which day did the plant growing in the shade have a height of 8 cm? Day [1] (b) Calculate the difference in the heights of the plants growing in full sun and in some sun on day 14 of the experiment. cm [1] (c) Write down a conclusion that Suki can make about how the amount of sun affects the height of these bean plants. [1]

8 © UCLES 2016 1112/01/A/M/16 10 Find the sum of the first four negative integers. [1] 11 The diagram shows a floor plan. 11 m 3 m6 m NOT TO SCALE 10 m Calculate the area. m 2 [2]

9 © UCLES 2016 1112/01/A/M/16 [Turn over 12 Here is a mapping.  2 4 4 16 Input Outpu t Look at the following functions. Tick () the two functions that could represent the mapping. x  6x – 8 x  2x x  4x – 6 x  x 2 [1]

10 © UCLES 2016 1112/01/A/M/16 13 There are two cycle routes. Blue route 7¼ km Red route 10 km (a) David is cycling the red route. He has cycled 8 3 2 km. How much further does he have to cycle? km [1] (b) Sanjit is cycling the blue route. He takes a break exactly halfway. How many kilometres has he cycled at this point? km [1]

11 © UCLES 2016 1112/01/A/M/16 [Turn over 14 The diagram shows a triangular tile. NOT TO SCALE 7 cm 7 cm Draw a sketch to show how you would put four of these tiles together to make a square. [1] 15 The diagram shows a 50 ml bottle. Calculate how many litres of liquid are needed to fill 80 of these bottles. litres [1]

12 © UCLES 2016 1112/01/A/M/16 16 Write the number 874.591 (a) correct to 2 decimal places, [1] (b) correct to 2 significant figures. [1] 17 A box contains a large number of coloured balls. Each ball is coloured red or green or blue or yellow. Anoush takes a ball at random from the box and records its colour. She then puts the ball back into the box. She does this 200 times. The table shows some of her results. Red Green Blue Yellow Total Frequency 64 48 200 Relative frequency 0.32 0.16 1 Complete the table. [2]

13 © UCLES 2016 1112/01/A/M/16 [Turn over 18 The diagram shows the median family income and the median age of people in 20 countries. 50 45 40 35 30 000 25 000 20 000 15 000 Median family income (US dollars)10 000 5000 0 Median age (years) 30 25 20 Does this diagram show a correlation between median age and median family income? Yes No Give a reason for your answer. [1] 19 Put one set of brackets in each calculation to make the answer correct. (a) 4 + 9 × 6 – 4 = 22 [1] (b) 24 ÷ 12 – 8 + 2 = 4 [1]

14 © UCLES 2016 1112/01/A/M/16 20 The diagram shows a square with a perimeter of 20 cm. NOT TO SCALE Eight of these squares fit together to make a rectangle. NOT TO SCALE Work out the area of the rectangle. cm 2 [2] 21 Lemons cost $5.40 per kilogram. Leyla buys 0.35 kg of lemons. Calculate how much Leyla’s lemons will cost. $ [2]

15 © UCLES 2016 1112/01/A/M/16 [Turn over 22 The diagram shows a right-angled triangle. Squares are drawn on each of the three sides. Square PSquare R Square QNOT TO SCALE Area of Square P = 17 cm 2. Area of Square R = 50 cm 2. Work out the area of Square Q. cm 2 [1]

16 © UCLES 2016 1112/01/A/M/16 23 Write one of these symbols in each gap to make a true statement. < > = The first one has been done for you. 24 ÷ 2 < 24 56 × 1.02 56 16 × 0.2 16 35 ÷ 0.55 35 4 . 04 . 0 40  40 [2] 24 Tick () the graph of y = 2x – 1 5 – 2 2 4 6 10x y 5 – 2 2 4 6 10x y 5 – 2 2 4 6 10x y 5 – 2 2 4 6 10x y 00 0 0 [1]

17 © UCLES 2016 1112/01/A/M/16 [Turn over 25 (a) Ami is 160 cm tall. The ratio of Ami’s height to Nadia’s height is 8 : 7 Work out how many centimetres taller Ami is than Nadia. cm [2] (b) Ami has a mass of 72 kg. Raphael has a mass of 108 kg. Write Ami’s mass as a fraction of Raphael’s mass. Give your answer in its simplest form. [1]

18 © UCLES 2016 1112/01/A/M/16 26 In the diagram AB is parallel to CD. Triangle ACE is an isosceles triangle. 46° 110 A E D CB x y °NOT TO SCALE ° ° Work out the values of x and y. x = y = [2]

19 © UCLES 2016 1112/01/A/M/16 [Turn over 27 (a) Here are four numbers. 0.02 0.2 2 20 Write these numbers in the boxes to make a correct calculation. Each number should be used only once. × + = 40 [1] (b) Work out One-half of two-thirds of three-quarters of four-fifths of 200 [1]

20 Permission to reproduce items where third-party owned material protected by copyright is included has been sought and cleared where possible. Every reasonable effort has been made by the publisher (UCLES) to trace copyright holders, but if any items requiring clearance have unwittingly been included, the publisher will be pleased to make amends at the earliest possible opportunity. To avoid the issue of disclosure of answer-related information to candidates, all copyright acknowledgements are reproduced online in the Cambridge International Examinations Copyright Acknowledgements Booklet. This is produced for each series of examinations and is freely available to download at www.cie.org.uk after the live examination series. Cambridge International Examinations is part of the Cambridge Assessment Group. Cambridge Assessment is the brand name of University of Cambridge Local Examinations Syndicate (UCLES), which is itself a department of the University of Cambridge.   © UCLES 2016 1112/01/A/M/16 28 The scale drawing shows the route for a cycling race, which starts and finishes at a point P. The scale is 1 cm = 2 km. North 64° P R Q North North Scale: 1 cm = 2 km The line PQ on the drawing is 6.1 cm. Complete the table to show the distance and the bearing for each stage of the route. Distance Bearing Stage 1: From P to Q Stage 2: From Q to R Stage 3: From R to P............... ............... ...............12.2 km km km...............064 ............... ............... [3]