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

D 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. MatheMatics 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 Questions 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 sc\bools

ICAS Mathematics Practice Questions Paper D © EAA 2 1. Maree shaded some squares on a grid. How many more squares would Maree need to shade so that half of this grid was shaded? (A) 15 (B) 30 (C) 35 (D) 50 2. Sarah has $5 to spend on lunch. Orange Orange orange juice $1.50 bun $2.00 salad sandwich $2.50 apple65c If she buys one salad sandwich, which other two things could she buy? (A) one orange juice and one apple (B) one orange juice and one bun (C) two orange juices (D) one apple and one bun 3. Laura has a lunch break from 11:50 am to 1:20 pm. How long is Laura’s lunch break? (A) half an hour (B) one hour and twenty minutes (C) one and a half hours (D) two and a half hours 4. What is the missing number in this number pattern? 27 916 41 66 ? (A) 24 (B) 25 (C) 34 (D) 35

3 ICAS Mathematics Practice Questions Paper D © EAA 5. Here is the start of a pattern. 6 3 4 9 2 3 The number below each triangle gives the total number of dots on the triangle. T he numbe r in sid e th e triangl e g iv e s th e numbe r o f d ots o n e ach s id e o f th e triangl e. When the total number of dots on a triangle in this pattern is 72, how many dots are there on each of its sides? 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 . END OF PAPER

D PAPE R The follo wing year levels should sit THIS Paper : A ustr alia Year 6 Br unei Primar y 6 Hong Kong Primar y 6 Indonesia Year 7 Mala ysia Standar d 6 Ne w Zealand Year 7 Year 6 Singapor e Primar y 5 South Africa Grade 6 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.

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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 a t i o n al C om pe ti t i o n s and A ss essment s fo r Sc ho ols M P A PER D 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 D © EAA QUESTIONKEYSOLUTION STRANDLEVEL OF DIFFICUL TY 1 CTher e are 10 × 10 = 100 squar es. Half of 100 is 50. Mar ee has already shaded 15 so she needs to shade 35 squar es more (50 – 15 = 35). Number and Arithmetic Easy 2 A$5 (lunch money) - $2.50 (sandwich) = $2.50 r emaining $1.50 (juice) + $0.65 (apple) = $2.15, so ther e is $0.35 change All other options r equire mor e than the initial $5 lunch money . Number and Arithmetic Easy 3 CF ro m 11:50 am t o 1:50 pm i s o ne and a hal f h ou rs. Fro m 11:50 am t o 12:50 pm the re i s o ne h ou r, then fro m 12:50 pm t o 1 pm the re a re 10 min ute s and fro m 1 pm t o 1:20 pm the re a re 20 min ute s. Alt ogether it i s 1 hou r an d 30 min ute s (1 hou r + 10 min ute s + 20 min ute s). Measur ement Easy 4 BThe triangles contain a number which is the sum of the numbers in the two pr eceding triangles. 2 + 7 = 9 and 7 + 9 = 16. The missing number is 9 + 16 = 25. Algebra and Patterns Medium 5 25T o solve this, find the pattern then test it on the e xamples given. Number of dots on each side = total number of dots ÷ 3 + 1 = 72 ÷ 3 + 1 = 25 Algebra and Pattern Har d 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

ICAS Mathematics Practice Questions Paper D © EAA 8DElle gave away one-third and one-quarter of her jellybeans. The fraction she kept is equal to: 1 − (1/3 +1/4) = 5/12. If 35 equals 5/12 of the total, then 1/12 of the total is 7. The total is 12 × 7=84. Algebra and Pattern Hard 9 ASolid (A) has 8 blocks. Solids (B) and (C) have 11 blocks each. Solid (D) has 5 blocks. The blocks add up 11 + 11 + 5 = 27 blocks. This is the number in a 3 × 3 × 3 cube. Also the largest number of blocks in a row is 3 to give another clue to the size of the cube. So Solid (A) with 8 blocks cannot be part of the bigger cube. Space and Geometry Hard 10 25To solve this, find the pattern then test it on the examples given. Number of dots on each side = total number of dots ÷ 3 + 1 = 72 ÷ 3 + 1 = 25 Algebra and Pattern Hard Level of difficulty refers to the expected level of difficulty for the question. Easy more than 70% of candidates will choose the correct option Medium about 50–70% of candidates will choose the correct option Medium/Hard about 30–50% of candidates will choose the correct option Hard less than 30% of candidates will choose the correct option