58 UNSW Global | Assessments PAPER 2 ANSWER SHEET sn ‘i |ER INFORMATION 2018 MATHEMATICS - = ne ANSWER SHEET DONOT OPEN THIS BOOKLET : ct are UNTILINSTRUCTED, amtOR Trot ne A MULTIPLE-CHOICE QUESTIONS (1) “TIME ALLOWED: 45 MINUTES " paneer you! ANSMER SHEET nova ht eave Vion lok edararel pam it NOT stone in use x elit ICAS1. Which of these has the same value as 26 000? (A) 260 tens (B) 260 hundreds (c) 260 thousands (D) 2600 hundreds 2. Ben started shading some numbers on this chart by following a pattern. 23 | 24 [5] 26 | 27 | 2B) 29 | 30 32 33 JBM) 35. 36 37) 38 | 3a 40 41/42 43/44/45 46/47 48/49 50 What will be the largest number Ben shades if he continues this patter? (A) 46 (BR) 47 (Cc) 49 (BD) 50 3. This map shows the paths in a park. Gate 1 Gate 2 How many different ways are there to walk along the paths from Gate 1 to Gate 2 without heading back towards Gate 1? @ 6 ® 5 © 4 ) 3 4. Lucy placed 13 pots around a pond as. shown. Each pot has a diameter of 30 cm, What is the perimeter of the pond? (A) 660m (8) 480m (C) 450m (0) 390m 5. Ali grew this sunflower plant for a competition. It was just aver 240 cm tall, What was the approximate diameter of Ali's flower as shown by the marker? (A) 24em (®) 25cm (C) 32cm (0) 40cm 2018 Mathematics Paper E © UNSW Global Pty Limited6. James drew a rectangle with 4 lines inside it How many angles in his drawing are larger than a right angle? (a) 3 (B) 4 (c) 6 (2) 7 7. Saira had $500. She spent 25% of this money on clothes and saved the rest. How much money did Saira save? (A) $375 (8) $360 (C) $150 (0) $125 8. Dani is making a design with PQ as the line of symmetry. Pp Q What is the minimum number of squares that Dani still needs to shade? A) 2 ®) 3 c) 4 () 5 9. In this shape, the length of the rectangular section is equal to twice the width 10m —4 4m 4 4m 4 What is the area of the shape? (A) 90m (8) 70m (C) 66m (0) 56m ‘2018 Mathamatice Paper £ © UNSW Global Pty Limited40. Sue took a circular piece of paper and folded it in half three times. Dv» 1st fold 2nd fold ‘3rd fold She then cut along this dotted line and threw away the smaller section. & smaller section ‘Sue unfolded the remaining piece. Which of these is the shape of the remaining piece? (a) 8) (©) (2) 11. This chart shows some information about tides in Sydney for one week in January. Jan | Time |Height| Time | Height (am) (pm) 6:17 | 1.3m | 12:22| 04m 7:44 | 1.4m | 148 | 03m 8.09 | 1.4m | 2:11 | 01m 9:03 | 1.4m | 3:03 | 01m 1 | 9:56 | 1.4m | 3:54 | 01m 12 | 10:49] 14m | 445 |01m 413 | 14:42 | 1.4m | 5:36 | 0.1m This table shows the time adjustments for some other coastal towns. +7 minutes —7 minutes +19 minutes +3 minutes -1 minute Boats cannot be launched one haur before or after low tide. ‘Samira wants to launch her boat at Coffs Harbour on the afternoon of 10 January. Between which times can she NOT launch her boat? (A) 56 pmand 3:56 pm (8) 2:03 pm.and 4:03 pm (©) 2:40 pmand 4:10 pm (0) 2.47 pmand 4:47 pm ‘2018 Mathematics Paper E © UNSW Global Pty Limited12. Jane made a pattern with some dominoes. ‘She arranged them so the dots on the top halves formed one pattem and the dots on the bottom halves formed another pattem. deggie oaaea don ‘Which is the next domino in the pattern? (A) «) (C) (0) 13. It is now possible to make an artificial arm using a 3-D printer. This has reduced the cost of an artificial arm from $40 000 to just $400. What is the new cost as a percentage of the old cost? (A) 0.01% 8) 01% Cc % (D) 10% 14, Mr Goh used this stamp to reward good work (rea & ‘Which of these shows a print made with this stamp? (6) (0) a & 15. Justine had a 120 em piece of rope with markings every 20 cm. She cut along one of the markings to form two pieces. What is the probability that one piece was exactly 40 em longer than the other piece? 4 2 “” =F ® 3 # 2 © =F O F 2028 Mathematics Paper E © UNSW Global Pry Limited16. Pamclimbed 300 steps. Each step is 20 em high. = How high did she climb? (A) (8) (©) (0) 6m 600m 60m 6000 m A=1142.2+3.3+44 B=14-22-33-44 17. What is the difference between A and B? ° (8) 19.8 () 22 22 A) © 18. Leanne picked up leaves in the yard. She filled 20 buckets with leaves. The average mass of the leaves in the first 12 buckets was 0.4 kg. The average mass of the leaves in the next 8 buckets was 0.5 kg. ‘What was the total mass of the leaves in the 20 buckets? (A) 64k9 (8) 7.0kg (C) 88k (0) 9.0kg 19. Krish used cubes to build a solid matching these three views, top view side view front view Which of these could be Krish’s solid? (a) (8) (Cc) (D) 20. Tina is writing a number pattern, 2,8, 14, 20, 26, 32, 38... if she continues the pattern, which of these numbers should Tina write? (a) 138 (8) 144 (cy 152 (0) 160 21. Agroup of 60 students went to the beach. Of the 34 students who brought a hat, 25 were boys. There were 36 boys altogether. How many girls did not bring a hat? (a) 9 @®) 15 (C) 24 (0) 26 ‘2018 Mathematics Paper E © UNSW Global Pty Limited22. Smoke alarms in buildings should not be installed in a corner or ‘dead air space’. The diagram represents the zones within which smoke alarms should be installed. They should be installed between the maximum and minimum distances showr inmm NOT TO SCALE Pete installed two alarms of diameter 80 mm in the positions shown below. 400 NOTTO SCALE Which option is true for the position of these two alarms? Rof |v |v] «| x wail |v | x | v [= a) @) ©) 23, Sarah is playing a game. She must use the map and the instructions to find the treasure. Start ot the shipwreck on Gl. Travel 1 kilometre south. ‘Turn west and travel 750 metres. Next, turn south and ‘travel 500 metres. Finally, turn east and ‘travel 250 metres. ‘The treasure is buried there. Where is the treasure buried? a 5 (8) Ha (C) FS (0) ES 2018 Mathematics Paper € © UNSW Global Fty Limited24. The school sports organiser ordered 15 buses to transport 750 students to the carnival. There were 2 supervising teachers on each bus. Each bus had seats for 53 passengers. How many spare seats were there altogether? (a) 5 (C) 45 (8) 30 (D) 75 25. This is a pallet. thas a mass of 25 kilograms (kg). Fiona places 150 tiles on the pallet. A stack of 4 tiles has a mass of 5 kg. What is the total mass of the pallet and the tiles? (A) (Cc) 775 kg 187.5 kg (8) (D) 212.5 kg 145 kg 126. Jai had 69 picture cards including 45 pairs and 9 triples. A pair is two of the same kind of card. A triple is three of the same kind of card ‘He kept one of each kind of card and gave the rest away. How many cards did he keep? A) 36 @®) 45 © Sst oO 57 27. Chen drew a square on a grid. Then he started to draw a second square with a side length double that of the first square, ‘Two parts of the second square are shown on the grid Which dot will lie on one of the sides of the second square? 2018 Mathematics Paper E ® UNSW Global Fty Limited28. Jackie asked students in Year 7 how many pets they own. 30. Adam is making a pattern of shapes. She graphed her results, A g shape 1 shape 2 é What should be the total number of spots 3 and crosses in shape 6? 3 (A) 34 @) 32 5 (c) 28 (0) 26 z 04 3 Number of pets 31. Kim has 280 of these small green boxes. Nine students each own three pets. Ben 3om 1. How many pets do the students own 186m in total? “a 4 @) 42 © 50 © 75 29. The houses on one side of Acacia Street have consecutive odd numbers. Jim lives in house number 83 and Marni lives in house number 15. Clive lives in the house with the number exactly halfway between 15 and 83 How many houses along from Marni, is ‘Clive’s house? a 7 (8) 25 (Cc) 4 (0) 49 Tihey completely fil this large yellow box. _ y F126 cm NoTTo scale What is the height of the yellow box? 30 om — (A) 27cm (8) (C) 2tem ) 24em 45m +2018 Mathematics Paper E © UNSW Global Pty Limited32. Carly had a rectangular piece of 33. Ron has these 3 shapes. cardboard, 5 em wide, with an area of 60 cm? on which to design a poster for a =z zz. climbing group. » Carly folded the cardboard into thirds. He joins all of the shapes together, without Then she drew three overlapping triangles any overlap, to make anew shape. with a shared base, Which of these could be Ron's new shape? 6) a) What is the total area of the blue © shaded regions? (A) 40cr® —@) 30cm (©) em = (0) Wem? (0) 2018 Mathematics Paper E® UNSW Global Pry Limited34. Mrs Brown measured the heights of all 25 children in her class to the nearest cm. Matthew and Lin made different tables to record these heights. Mathew’s Table Lin's Table 145-154 2 155 - 164 18 165-174 5 ‘How many children in the class have a height greater than 154 cm but less than 166 cm? A) 7 () 18 « 19 (02) 20 35.George is using this flowchart. He inputs two values and follows the rules. What are the output values? a A (A) 4 3 (8) 5 5 (c) 6 7 (0) 7 9 ‘2018 Mathematics Paper E © UNSW Global Pty LimitedCUE eek in namsa sige) i cetacean) (ee eysest s een setee in Imatch your answer, Write your an: 36, Mark and Kate each think of a different 2.digit number between 10 and 60 Kate multiplies her number by 7 and then subtracts 42 Mark divides his number by 8 and then adds 42 ‘They both get the same answer. ‘What is the sum of their original numbers? 37. A square cog and a regular hexagonal cog are both rotating about a common centre, O, H At each click, the hexagon rotates 60" clockwise, and the square rotates 90° anticlockwise. Initially, the vertices H and S and centre O lie in the same straight line as shown. How many clicks does the hexagonal cog make before the vertices H and S first Tetum together to their original position? 38. John made a large cube using 27 identical smaller cubes. There were 54 square faces of the smaller cubes showing on the surface of his large cube. John remaved two of the cubes to make a new solid, How many square faces of the smaller cubes could John see on his new solid? 2018 Mathematics Paper E® UNSW Global Fty Limited39. Ella is using a drawing program on her computer, ‘She wants to draw a spiral to fill a square of side length 10 cm. Ella programs the computer to ‘start in the top left comer move anticlockwise around the edges. of the square maintain a distance of 1 cm from an existing line, as shown. 40cm: 10cm What is the total length of all the lines drawn by the computer, in em? 0. Raj and Jess live on the same long road Jess left her home and rode her bike along the road at a constant speed of 18 km/h, Raj left his home 10 minutes after Jess. He drove his car in the same direction as Jess rode. Raj overtook Jess after driving for 40 minutes at a constant speed of 75 kmih. How many kilometres from Jess does Raj live? 2018 Mathematics Paper E © UNSWW Global Pty Limited