[PDF] ICAS Practice Questions Mathematics Paper G.pdf | Plain Text

G PAPER DO NOT OPEN THIS BOOKLET UNTIL INSTRUCTED. STUDENT’S NAME: Read the instructions on the ANSWER SHEET and fill in your NAME, SCHOOL and OTHER IN\bORMATION. Use a 2B or B pencil. Do NOT use a pen. Ru\b out any mistakes completely. You MUST record your answers on the ANSWER SHEET. Mathe M atics Mark only ONE answer for each question. Your score will \be the num\ber of correct answers. Marks are NOT deducted for incorrect answers. MULTIPLE-CHOICE QUESTIONS: Use the information provided to choose the BEST answer from the four possi\ble options. On your ANSWER SHEET fill in the oval that matches your answer. \bREE-RESPONSE QUESTIONS: Write your answer in the \boxes provided on the ANSWER SHEET and fill in the oval that matches your answer. You may use a ruler and spare paper. A CALCULATOR is required. Practice Qu e stions in t e r n a t i o n a l c o m p e t i t i o n s and assessments for sc\bools

ICAS Mathematics Practice Questions Paper G © EAA 2 1. The plans for a new school hall are on display. These plans show a front view, a side view and a top view of the hall. top view side view front view (A) (B) (C) (D) Which of the diagrams shows a correct three-dimensional view of the new hall? top view side view front view (A) (B) (C) (D) 2. A rotary clothes line is 180 cm from the ground at its lowest level and 210 cm when it is at its highest. FP FP When the handle is given one full turn, the height of the clothes line increases by 30 mm. How many full turns of the handle will it take to raise the clothes line from its lowest to its highest level? (A) 10 (B) 30 (C) 100 (D) 300 3. Henry made a pattern with blocks, as shown. Stage Picture 1 2 3 4 In Stage 2 Henry used a total of five blocks. How many blocks does Henry need for Stage 5? (A) 16 (B) 17 (C) 18 (D) 21

3 ICAS Mathematics Practice Questions Paper G © EAA 4. Sand ra h as the se p ic tur es o n h er we bsit e . Picture 1 uses 7.25 Kb of memor y. Picture 2 uses 3.323 Kb of memor y. Approximately how much memory does Picture 2 use as a percentage of the memory used by Picture 1? (A) 54% (B) 46% (C) 43% (D) 39% 5. Lin cut this square picture out of a magazine. She made an enlarged copy that was still square but twice as wide. Lin cut off a rectangle from the right of the picture. The picture was now a rectangle whose width was 2 3 of the height. She then doubled the width of the picture. The area of the rectangle was now 139 968 mm 2. How high, in mm, was the original picture? END OF P APER QUESTION 5 IS FREE RESPONSE. W rite your answer in the boxes provided on the ANSWER SHEET and fill in the ovals that match your answer .

G PAPE R The follo wing year levels should sit THIS Paper: Austr alia Year 9 Br unei For m 4 Hong Kong For m 3 Indonesia Year 10 Mala ysia For m 3 Ne w Zealand Year 10 Y ear 9 Singapor e Secondary 2 South Africa Grade 9 THE UNIVERSITY OF NEW SOUTH WALES Edu ca tio n al A ssessmen t A ust rali a eaa.uns w.edu.au Acknowledgment Copyright in this booklet is owned by Educational Assessment Australia, UNSW Global Pty Limited, unless otherwise indicated. Every effort has been made to trace and acknowledge copyright. Educational Assessment Australia apologises for any accidental infringement and welcomes information to redress the situation. © 2012 Educati onal Asses sment A us trali a. EAA is an education group of UNSW Global Pty training and consulting services and a wholl y o wned enterprise of the Universit y of New South Wales . ABN 62 086 41 8 582

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ICAS Mathematics Practice Questions Paper G © EAA 5 162Let  x be the side length of the original pictur e. A fter the first transformation, the pictur e is  still a squar e, but now with a side length of 2 x. A fter cutting off a r ectangle from the right of  the pictur e, the pictur e is now a rectangle with  height 2 x and width  2x × =139 968 8 x3 = 139 968 16x2 3 x2 = 139 968 × 3 16 x = √26 244 x =  2 3 4 3 8 3  of 2 x which equals  2x × =139 968 8 x3 = 139 968 16x2 3 x2 = 139 968 × 3 16 x = √26 244 x =  2 3 4 3 8 3 x. A fter  the  final  tran sformati on , the  width  i s  d oub led,  2x × =139 968 8 x3 = 139 968 16x2 3 x2 = 139 968 × 3 16 x = √26 244 x =  2 3 4 3 8 3x, bu t the  hei ght  sta ys  the  same , 2 x. The ar ea of the pictur e is now 139 968 mm 2.  Hence, 2 x × =139 968 8 x 3 = 139 968 16 x2 3 x2 = 139 968 × 3 16 x = √26 244 x = 162 2 3 4 3 8 3 Number and  Arithmetic Har d QUESTION KEYSOLUTION STRANDLEVEL OF DIFFICUL TY 1 AOption A cor rectly matches the fr ont, side and  top views. Option B does not match the fr ont view or the  top view . Option C does not match the fr ont view or the  side view . Option D does not match any view .Space and  Geometry Easy 2 AThe differ ence between the clothes line highest  and lowest level is 210 − 180 = 30 cm Convert this to mm is 30 × 10 = 300 mm. One full turn of the handle incr eases the  height by 30 mm; ther efore we need to divide  300 by 30 which equals 10. It will tak e 10 full turns of the handle to raise  the clothes line fr om its lowest to its highest  level. Measur ement Easy 3 BThe number of blocks used in the stages shows  a pattern: 1, 5, 9, 13… The pattern is continued by adding four blocks  to the pr evious term. So Stage 5 will contain 13 + 4 = 17 blocks. Algebra and  Patterns Medium 4 B3.323 Kb as a per centage of 7.25 Kb is  calculated as  (3.323 ÷ 7.25) × 100% = 45.83427%. This is 46% when r ounded up. Number and  Arithmetic Medium

ICAS Mathematics Practice Questions Paper G © EAA Level of difficulty refers to the expected level of difficulty for the question. Easy more than 70% of candidates will choose the cor rect option Medium about 50–70% of candidates will choose the corr ect option Medium/Hard about 30–50% of candidates will choose the corr ect option Hard less than 30% of candidates will choose the corr ect option 4 3 8 3 2x × =139 968 8 x3 = 139 968 16x2 3 x2 = 139 968 × 3 16 x = √26 244 x =  2 3 8 3 2x × =139 968 8 x3 = 139 968 16x2 3 x2 = 139 968 × 3 16 x = √26 244 x =  2 3 4 3