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

E 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. You are NOT allowed to use a calculator. Practice Q uestions int e r n a t i o n a l c o m p e t i t i o n s and as sessments for sc \bools

ICAS Mathematics Practice Questions Paper E © EAA 2 1. Below is a temperature scale ranging from 0 °C to 100 °C. Which point on the scale would be closest to the temperature of an ice-cream? (A) 0 °C freezing point of water human body temperature boiling point of water 37 °C 100 °C (B) (C)(D) 2. 5 × 50 = ? (A) 2500 (B) 1000 (C) 250 (D) 100 3. Which one of the following numbers is four hundr ed thousand, six hundr ed and two ? (A) 400 062 (B) 400 602 (C) 406 002 (D) 406 602 4. Blake made up the following code. 1 2 34 5 67 8 9 0 (B) (A) (D) (C) T o read his coded numbers you start at the top left corner and read each line from left to right. Which of the following codes correctly shows the number 957 286 304? 1 2 34 5 67 8 9 0 (B) (A) (D) (C) 5. A cube has a volume of 343 cm 3. What is the sum of the lengths of the edges of the cube, in cm ? END OF P APER QUESTION 5 IS FREE RESPONSE. W rite your answer in the boxes provided on the ANSWER SHEET and in the ovals that match your answer .

 ICAS Mathematics Practice Questions Paper E © EAA This page may be used for working.

E PAPE R The follo wing year levels should sit THIS Paper: Austr alia Year 7 Br unei For m 1 Hong Kong For m 1 Indonesia Year 8 Mala ysia For m 1 Ne w Zealand Year 8 Year 7 Singapor e Primar y 6 South Africa Grade 7 THE UNIVERSITY OF NEW SOUTH WALES Edu ca tio n al A ssessmen t A ust rali a eaa.uns w.edu.au © 2012 Educational Assessment Austr alia. EAA is an education group of UN SW 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 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.

A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / A B C D E F G H I J K L M N O P Q R S T V W X Y Z ’– / FIRST NAME to appear on certificate LAST NAME to appear on certificate Are you male or female? Male Female Does anyone in your home usually speak a language other than English? Yes No School name: Town / suburb: Today’s date: Postcode: CLASS DATE OF BIRTH Day Month Year 0 1 2 3 0 1 0 1 2 3 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 4 (optional) U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U U A B C D E F G H I J K L M N O P Q R S T HOW TO FILL OUT THIS SHEET: • Rub out all mistakes completely. • Print your details clearly in the boxes provided. • Make sure you fill in only one oval in each column. 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 ABCD M I n 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 Schools *045907* Pa Per E MInterainolaM tCmt\SrnptlCeMItpsdnl MIntertaiola erCm

D C B A D C B A D C B A D C B A 1 2 3 4 START Your pri vac y is assured as EAA fully complies with appropriate Austr alian pri vac y legislation. Visit www .eaa.unsw.edu.au for more details. 0 1 2 3 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 4 0 1 2 3 5 6 7 8 9 4 5 In te rn at i on al C om pe tit io n s and A ss e ssm ents fo r S ch o ols M P A PER E TO ANSWER THE QUESTIONS MUL TIPLE CHOICE FREE RESPONSE Example: 6 + 4 = Example: 6 + 6 = (A) 2 ● The answer is 12, so WRITE your (B) 9 answer in the boxes. (C) 10 ● Write only ONE digit in each box, (D) 24 as shown, and in the correct oval, as shown. The answer is 10, so in the oval , as shown. C D C B A 0123 56789 4 0123 56789 4 0123 56789 4 1 2

ICAS Mathematics Practice Questions Paper E © EAA Level of difficulty refers to the e xpected 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 cor rect option Medium/Har d about 30–50% of candidates will choose the cor rect option Har d less than 30% of candidates will choose the cor rect option 5 84If a cube has a volume of 343 cm 3 then its edge length is 7 cm. Ther e are 12 edges on a cube, so the total length of the edges is 7 × 12 = 84 cm Measur ement Hard QUESTION KEYSOLUTION STRANDLEVEL OF DIFFICUL TY 1 AThe temperatur e of an ice-cream is very close to the fr eezing point of water (0 °C). Noticing the given scale, the closest point to 0 °C is option A. Measur ement Easy 2 CMultiplying 5 by 50 gives 250. Number and Arithmetic Easy 3 BThis number should have 6 digits. If we write it using e xpanded notation, we should have 400 000 + 600 + 2. In other wor ds, it is 400 602. Number and Arithmetic Easy 4 CR eading the code fr om left to right from the upper left corner and using the k ey provided, option C is the only code that shows cor rectly all digits of the given number .Number and Arithmetic Easy

ICAS Mathematics Practice Questions Paper E © EAA Level of difficulty refers to the expected level of difficulty for the question. Easy mor e than 70% of candidates will choose the correct option Medium about 50–70% of candidates will choose the cor rect option Medium/Hard about 30–50% of candidates will choose the cor rect option Hard less than 30% of candidates will choose the cor rect option 8 BThe ratio of the number of teeth on the cogs can be expressed as a ratio of their circumference which in turn can be expressed as a ratio of their radii. X:Y:Z = 8 : 4 : 12 = 1 : ½ : 3/2 Cog X has twice the number of teeth as cog Y, so when cog X makes a complete revolution, cog Y must make 2 revolutions. Cog X has 2/3 of the number of teeth of cog Z, so when cog X makes a complete revolution, cog Z makes 2/3 revolutions. When cog X makes 15 revolutions, cog Y makes 30 revolutions and cog Z makes 10 revolutions. Algebra and Pattern Medium/Hard 9 A The difference between ¾ and ½ is ¼. Therefore, if we turn the sign ¾ turn clockwise, , then ½ turn anticlockwise, , then the result will be the same as just turning the sign ¼ turn clockwise. Space and Geometry Hard 10 84 If a cube has a volume of 343 cm 3 then its edge length is 7 cm. There are 12 edges on a cube, so the total length of the edges is 7 × 12 = 84 cm Measurement Hard