Which of the following is equal to 33%? 1 3 | “A os Eo | (Cc) 03 (D) 0.33 This is part of a decorative wall ACTS | AUIS | ACTS | peat en Which of these shapes will NOT tessellate to make the decorative wall? as ee (A) (B) we _ Fi E> (Cc) (D) 4. Mary had 600 grams of jelly beans in a box She filled 3 identical jars with these jelly beans. There were 360 grams of jelly beans left in the box. How many grams of jelly beans were in each jar? (A) 80 (8) (C) 160 (0) 120 200 Vinh is making bunches of flowers using roses and lilies. She has 36 roses and 60 lilies. All of the flowers must be used to oma identical bunches. What is the largest number of bunches she can make? (A) 6 (8) 12 (c) 18 (0) 36 2O1SICAS Matern Pape EAA 2Which of the following events is the most likely to happen? tossing an A when you | throw a coin (the coin is labelled A on one side and B on the other) (A) rolling a 6 when you (B) throw the dice once (the dice is numbered from 1 to 6) (€)| AY 27109 on yellow when Rion? you spin this spinner —_ | picking a black ball from this bag without looking (D) What is the area of this shape? Not TO SCALE (A) 48cm? =» (B) 96 cm? (C) 120cm? = (D)_—:156 cm? Tim visited a theme park. Entry to the par costs $25. The rides are free but each game costs an extra $5. Which graph shows the total cost, c, of entry plus 17 games played? c 50 . 40 : (A) 30} + 10 35 30 potent arte (B) 20 15 10 Lo in 5 10 15 20 25 50 40+ (Cc) 27 20 : 10 . c 100 80 . | (D) 60 . 40 20 t+ _+—_n 7, 2s | |8. _ Lien drew a regular hexagon using the axes as lines of symmetry. He shaded this triangle. Lien reflected this triangle in the y-axis and shaded the image. He then reflected these two triangles in the x-axis and shaded the image. What fraction of the hexagon was shaded after these two reflections? A) (8) zi 6 ala nla (c) (Dd) als 3 10. 9. The Liang family plan to go to the zoo. The total cost of tickets for 4 adults and 2 children is $55. The total cost of tickets for 2 adults and 2 children is $35. What will the total cost of tickets be for the Liang family who have 2 adults and 3 children? (A) $65 (B) $45 (C) $42.50 (0) $38.50 "1 Mimi's Cleaning Service is asked to clean the external walls of a large building. The external walls of this building are completely covered in glass. LF 85m A 07m 3 20m NOT TO SCALE What is the total area of the glass to be cleaned? (A) 6 800m? (B) 8 500m? (C) _9700m? | (D) 51.000 m2 Dedi has a rectangular pool in his backyard. The surface area of the pool is 30 m®. The width is 5 m as shown. sm NOT TO SCALE | There are 4 lights, equally spaced along each of the longer sides of the pool, including a light at each corner. What is the shortest distance between two lights? (A) 1m (C) 1.5m 1.25m 2m (8) (dD)12. The perimeter of the figure below is n% of the sum of the perimeters of each of the four shapes. 13. What is the value of n? (A) 60 (B) 67 () 75 (0) 80 Senin is making bows out of ribbons that come in four colours. He picks 30 ribbons at random. The table lists the probability of a Particular colour ribbon being chosen. How many orange ribbons should Senin expect to pick? (A) 12 8) 9 (Cc) 6 (0) 3 14. 15, Sheets of paper come in different sizes, The A-series has the sizes: AO, A1,... A10 Each size is twice the area of the next size For example, the area of an AO sheet of paper is twice the area of an A1 sheet of paper. How many sheets of A8 paper are needed to equal the area of one A1 sheet? (A) 8 (8) 16 (C) 128 (0) 256 Two discs are connected by a red ribbon as shown 21om— J< red ribbon, NOTTO SCALE What is the length of the ribbon, to the nearest cm? (A) 232 (8) (C) 166 (0) 208 142PP 16. Alan has this cardboard box. K-— 106m ——¥ + 5em 4 He wants to cut along some of the edges so the box opens to form a net. What is the shortest distance Alan could cut to form a net? (A) 180m (8) 32cm (C) 33cm (0) 36cm 17. Acircle with radius 14 om has a 90° sector cut out. The rest of the circle is then curved to form a cone and the straight edges are taped together without overlapping What is the circumference of the base of the cone, to the nearest centimetre? (A) 66 (8) 88 (C) 154 (0) 462 18, 19, Amaze in a park has the following shape. Krish wants to walk the entire maze without retracing any part of it. For example, if he walks from P to T, he cannot walk along this part of the maze again From how many of the points labelled P, Q,R, S, and Tcan Krish begin his walk? (A) 1 (B) 2 (Cc) 3 (D) 4 Ardi joined some objects with cotton thread to make a mobile. The objects balance. 66 we What is the sum of the masses of the unmarked objects? (A) 469 (8) 48g (C) 50g (0) 96g20. Raj, Sue and Anna bought some items. The table shows the number of items and the amounts paid. Cans of | Packets | amount drink | notes | Paid Raj 2 4 | $11.60 | Sue 4 6 | $20.40 ‘Anna 1 1 | | How much did Anna pay for 1 can of drink and 1 packet of noodles? (A) $17.60 (B) $8.80 (C) $4.40 (D) $2.20 2. Jack wants to draw a sector graph to show the proportion of clarinets, flutes, trumpets, saxophones and oboes in the school band. He knows that © one-third of the instruments are clarinets there are three times as many | saxophones as trumpets «there are twice as many oboes as saxophones there are equal numbers of oboes and flutes. What should the size of the sector angle for saxophones be on Jack's graph? (A) (B) (Cc) (D) 15° 45° 30° 48° 21. Yumi walked 2 km to the bus stop to catch ‘the bus to school. The bus arrived straight away and averaged 60 km/h for the 5 km trip. Yumis Home C2 Km 5 km —— Yumi's total travelling time was 25 minutes. ‘At what average speed did Yumi walk to the bus stop? (A) (c) 10 km/h 4km/h 6 km/h 2kmv/h (8) (0) 23. 10 m pipe runs along the base of one side of a 4 m high shed. A goat is tied to a 5 m rope that can slide along the pipe goat ¢ | seal 3m | ——— 10m ——_4 top view Which of the following represents the area of land where the goat can graze? (A) (8)A 1 1 A) 4950 ®) too 1 49 ) 30 oo 1 - 27. — Indra has a square piece of cardboard. | He cuts out an identical square from each comer. 25. If mand nare two different positive integers, then (m * 1)" is (A) _ odd if only m or nis even. (B) _ odd if mis odd and 7 is even. (C) _ even if both m and n are odd. (D) _ even if both m and n are even. 26. The diagram shows three concentric circles centred at the origin. The circles have radii of 1, 2 and 3 units. What is the total area of the shaded regions, in square units? (A) ™ (8) nia x (bd) ala als 3 nin L ___} Ve (30-28) (20-20) £ = 400K = 20R% 4° Indra will then fold the remaining cardboard to make an open box. an mae 32? ann O What value of x will make the box with the largest volume? (AL 10 (8) 8 i) 5 (0) 4 28. Aplane flew 20 km on a bearing of 040° from point L to point M. { N + uM L From M the plane flew 70 km due east to point P. From Pit then flew 20 km on a bearing of 220° to reach point Q. What was the size of the 2LQP? (B) (D) 140° 50° 130° 40° = ) 2015 {CAS Mantes Paper HERA29. Three cards are placed in this order in 31. Farmer Joe's field is in the shape of front of Jane who has been blindfolded a rhombus. Farmer Joe takes 212 minutes to walk at a constant speed around the perimeter of the field : He takes 56 minutes to walk across the field from D to Bat the same speed. Each card has a picture of a bird on one side and a picture of a dog on the other c side. | Firstly, Jane turns two of the three cards over. Secondly, she turns two of the three cards over again, What is the probability that she now has NOTTO SCALE 2 three dogs showing on her cards Walking at the same speed, how long = = > | does it take him to walk from A to C, to the | nearest minute? £ i £ (A) 45 (8) 60 > (C) 75 2 1 (D) 90 (A) = B) A ® 3 on 1 32. Fadi has a cube of wood with a volume 6 3 of 27 000 om®. He drilled a horizontal cylindrical hole all the way through the cube as shown. 30. Cai spilt some ink on her working. : | | 7X — Ya + Y) = (Ax — By? = | What must the hidden expression be for | the equation to balance? or oe | (B) 16)? 9x2 | What is the volume of the hole Fadi drilled, | (C) (ax +4y)? to the nearest cm? (D) (3x-4yy (A) 942 (8) 2356 (C) 7200 (0) 9425 9 2018 ICAS Mathematics Paper H© EAA33. These shapes form a pattern. 35. Vijay bought a mobile phone during a sale. He received a 22% discount, and paid $351 | |The store made a 25% profit on the cost price after selling this phone to Vijay. mI How much profit would the store have 4 shaded 20 shaded 44 shaded made if it had sold the mobile phone to Vijay without the discount? How many squares will be shaded in the 10th shape in this pattern? (A) $186.75 (8) $169.20 (A) 212 (B) 356 (C) $147.42 (C) 395 (0) 436 (D) $107.06 pe 34. AC = BC= DE= DF: AB || CD; AC || DF. | NOTTO ScaLE What is the value of x? (A) 24 (8) 39 (c) 51 | (0) 78 ‘orsicAs manent Papa HO cA 10aSn QUESTIONS 36 TO 40 ARE FREE RESPONSE. ON eure mak cones kay Prey RR LS match your answer. 38. This block is built from 1 cm cubes: Each cube is coloured either grey or white. The colours of the individual cubes alternate as shown. | 36. This pattern shows the first three stages in the development of a fractal ryt Stage1 Stage 2 Stage 3 | How many grey faces are INSIDE this How many lines will there be in Stage 6? block? 37. Peta noticed this poorly presented graph | 39. On planet Fog, there is an operation called in the newspaper. The vertical axis Fogration. The symbol for Fogration is did not begin at zero but each division represented the same whole number Ix and y are any two numbers, they are | fograted as follows: of goals, Wyee Netball is defined as x? — 2y | 3 What is the value of (5 m 7) m (3 m6)? 8 8 — : 2 8 )40. 31=3x2%4 > = - + als4x3x2%1 1 2 3 4 5 weeks 5lshx4x3x2*1 1 = 2x The Wyee netball team scored | 901= 2 « Nwhere Mis odd 30% more goals in week 3 than in What is the value of x? week 1 e — noless than 20 goals each week no more than 50 goals each week How many goals did Wyee score in week 4? " 204 1A Mathriaton Papa