[PDF] 2019 Reach and ICAS Practice Questions Mathematics Paper G.pdf | Plain Text

Mathematics PA PE R G Read the instructions on the ANSWER SHEET and fill in your NAME , SCHOOL and OTHER INFORMATION . Use a pencil. Do NOT use a coloured pencil or a pen. Rub out any mistakes completely. You MUST record your answers on the ANSWER SHEET . Mark only ONE answer for each question. Your score will be the number of correct answers. Marks are NOT deducted for incorrect answers. There are 5 MULTIPLE-CHOICE QUESTIONS (1 –5). Use the information provided to choose the BEST answer from the four possible options. On your ANSWER SHEET fill in the oval that matches your answer. You may use a ruler and spare paper. You are NOT allowed to use a calculator . DO NOT OPEN THIS BOOKLET UNTIL INSTRUCTED. Note : Some UNSW Global assessments are only available online. PRACTICE QUESTIONS

1. The plans for a new school hall are on displa y. 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. 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 I n S tage 2 Henr y u se d a to ta l o f fiv e blo ck s. How many blocks does Henry need fo r S tage 5 ? (A) 16 (B) 17 (C) 18 (D) 21 © UNSW Global Pty Limited 2

4. Sandra has these pictures on her website. Picture 1 uses 7.25 KB of memory. Picture 2 uses 3.323 KB of memory. 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 PAPER QUESTION 5 IS FREE RESPONSE. Write your answer in the boxes provided on the ANSWER SHEET and fill in the ovals that match your answer. 3 © UNSW Global Pty Limited * Free response questions are only applicable to some assessments.

4. Sandra has these pictures on her website. Picture 1 uses 7.25 KB of memory. Picture 2 uses 3.323 KB of memory. 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? © UNSW Global Pty Limited 4 THIS PAGE MAY BE USED FOR WORKING.

Print your details clearly in the boxes provided. Make sure you fill in only one oval in each column. Rub out all mistakes completely. Do not use a coloured pencil or pen. HOW TO FILL OUT THIS SHEET: USE A PENCIL A A A A A A A A A A A A A A A A A A A B B B B B B B B B B B B B B B B B B B C C C C C C C C C C C C C C C C C C C a a a a a a a a a a a a a a a a a a a E E E E E E E E E E E E E E E E E E E c c c c c c c c c c c c c c c c c c c d d d d d d d d d d d d d d d d d d d e e e e e e e e e e e e e e e e e e e I I I I I I I I I I I I I I I I I I I J J J J J J J J J J J J J J J J J J J h h h h h h h h h h h h h h h h h h h i i i i i i i i i i i i i i i i i i i M M M M M M M M M M M M M M M M M M M k k k k k k k k k k k k k k k k k k k l l l l l l l l l l l l l l l l l l l P P P P P P P P P P P P P P P P P P P Q n n n n n n n n n n n n n n n n n n R o o o o o o o o o o o o o o o o o o S S S S S S S S S S S S S S S S S S S T T T T T T T T T T T T T T T T T T T r r r r r r r r r r r r r r r r r r r s s s s s s s s s s s s s s s s s s s t t t t t t t t t t t t t t t t t t t u u u u u u u u u u u u u u u u u u u v v v v v v v v v v v v v v v v v v v Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ – – – – – – – – – – – – – – – – – – – / / / / / / / / / / / / / / / / / / / DATE OF BIRTH STUDENT ID CLASS Day Month Year (optional) (optional) 0 M M M M M M M M M M M M M M A h 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 B i 2 2 2 2 2 2 2 2 2 2 2 2 2 2 C M 3 3 3 3 3 3 3 3 3 3 3 3 3 3 a k 4 4 4 4 4 4 4 4 4 4 4 4 4 E l 5 5 5 5 5 5 5 5 5 5 5 5 5 c P 6 6 6 6 6 6 6 6 6 6 6 6 6 d n 7 7 7 7 7 7 7 7 7 7 7 7 7 e o 8 8 8 8 8 8 8 8 8 8 8 8 8 I S 9 9 9 9 9 9 9 9 9 9 9 9 9 J T A A A A A A A A A A A A A A A A A A A A A A A A B B B B B B B B B B B B B B B B B B B B B B B B C C C C C C C C C C C C C C C C C C C C C C C C a a a a a a a a a a a a a a a a a a a a a a a a E E E E E E E E E E E E E E E E E E E E E E E E c c c c c c c c c c c c c c c c c c c c c c c c d d d d d d d d d d d d d d d d d d d d d d d d e e e e e e e e e e e e e e e e e e e e e e e e I I I I I I I I I I I I I I I I I I I I I I I I J J J J J J J J J J J J J J J J J J J J J J J J h h h h h h h h h h h h h h h h h h h h h h h h i i i i i i i i i i i i i i i i i i i i i i i i M M M M M M M M M M M M M M M M M M M M M M M M k k k k k k k k k k k k k k k k k k k k k k k k l l l l l l l l l l l l l l l l l l l l l l l l P P P P P P P P P P P P P P P P P P P P P P P P Q n n n n n n n n n n n n n n n n n n n n n n n R o o o o o o o o o o o o o o o o o o o o o o o S S S S S S S S S S S S S S S S S S S S S S S S T T T T T T T T T T T T T T T T T T T T T T T T r r r r r r r r r r r r r r r r r r r r r r r r s s s s s s s s s s s s s s s s s s s s s s s s t t t t t t t t t t t t t t t t t t t t t t t t u u u u u u u u u u u u u u u u u u u u u u u u v v v v v v v v v v v v v v v v v v v v v v v v Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z Z ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ ’ – – – – – – – – – – – – – – – – – – – – – – – – / / / / / / / / / / / / / / / / / / / / / / / / Are you male or female? Male Female Does anyone in your home usually speak a language other than English? Ye s No School name: Town / suburb: Today’s date: / / Postcode: PA PE R G *202509* EXAMPLE 1: Debbie Bach FIRST NAME LAST NAME ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD EXAMPLE 2: Chan Ai Beng FIRST NAME LAST NAME ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD EXAMPLE 3: Jamal bin Abas FIRST NAME LAST NAME ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD ABCD EEEE EEE EE EEE EE EEE EEEEE EEE EEEEEE EEE EEEE FIRST NAME to aSSear on certificate LAST NAME to aSSear on certificate PAPER M SAMPLE

MULTIPLE CHOICE Questions 1 to 35 Example: 4 + 6 = (A) 2 (B) 9 (C) 10 (D) 24 The answer is 10 , so fill in the oval C , as shown. a C B A 1 A B C a 11 A B C a 21 A B C a 31 A B C a 2 A B C a 12 A B C a 22 A B C a 32 A B C a 3 A B C a 13 A B C a 23 A B C a 33 A B C a 4 A B C a 14 A B C a 24 A B C a 34 A B C a 5 0 M M 1 1 1 2 2 2 3 3 3 4 4 4 5 5 5 6 6 6 7 7 7 8 8 8 9 9 9 PA PE R G TO ANSWER THE QUESTIONS START USE A PENCIL DO NOT USE A COLOURED PENCIL OR PEN M PA PE R A For details on how we handle your personal information, please see our Privacy Policy on our website at unswglobal.unsw.edu.au SAMPLE

ICAS Mathematics Practice Questions Paper G © EAA 5 162Let  x be the side length of the original picture. After the first transformation, the picture is  still a square, but now with a side length of 2 x. After cutting off a rectangle from the right of  the picture, the picture 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 3of 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. After the final transformation, the width is  doubled,  2x× =139 968 8 x3 = 139 968 16x2 3 x2 = 139 968 × 3 16 x= √26 244 x=  2 3 4 3 8 3x, but the height stays the same, 2 x. The area of the picture 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 Hard QUESTION KEY SOLUTION STRANDLEVEL OF DIFFICULTY 1A Option A correctly matches the front, side and  top views. Option B does not match the front view or the  top view. Option C does not match the front view or the  side view. Option D does not match any view. Space and  Geometry Easy 2A The difference 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 increases the  height by 30 mm; therefore we need to divide  300 by 30 which equals 10. It will take 10 full turns of the handle to raise  the clothes line from its lowest to its highest  level. Measurement Easy 3B The number of blocks used in the stages shows  a pattern: 1, 5, 9, 13… The pattern is continued by adding four blocks  to the previous term. So Stage 5 will contain 13 + 4 = 17 blocks. Algebra and  Patterns Medium 4B 3.323 KB as a percentage of 7.25 KB  is calculated as  (3.323 ÷ 7.25) × 100% = 45.83427%. This is 46% when rounded up. Number and  Arithmetic Medium 7 © UNSW Global Pty Limited

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 © UNSW Global Pty Limited 8



© 2019 Copyright. Copyright in this publication is owned by UNSW Global Pty Limited, unless other wise indicated or licensed from a third party. This publication and associated testing materials and products may not be reproduced, published or sold, in whole or part, in any medium, without the permission of UNSW Global Pty Limited or relevant copyright owner. 1 All international schools registered with UNSW Global (which have an 8-digit school code star ting with 46) should sit the papers according to the Australian year levels. 2 Indian Subcontinent Region: India, Sri Lanka, Nepal, Bhutan and Bangladesh. 3 Middle East Region: United Arab Emirates, Qatar, Kuwait, Saudi Arabia, Bahrain, Oman, Turkey, Lebanon, Tunisia, Morocco, Libya, Algeria, Jordan and Pakistan. 4 Pacific Region: Vanuatu, Papua New Guinea and Fiji.5 Southern Africa Region: South Africa, Botswana, Lesotho, Swaziland, Zimbabwe and Namibia. PA PE R G THE FOLLOWING YEAR LEVELS SHOULD SIT THIS PAPER Australia 1 Year 9 Brunei Form 4 Egypt Year 9 Hong Kong Form 3 Indian Subcontinent 2 Class 9 Indonesia Year 10 Malaysia Form 3 Middle East 3 Class 9 New Zealand/ Pacific 4 Year 10 Singapore Secondary 2 Southern Africa 5 Grade 9