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

H 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. A CALCULATOR is required. 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 H © EAA 2 1. In which picture does the slice match the missing part of the cake? cake slice slice slice slice (A) (B) (C) (D) cake cake cake 2. This is a diagram of a triangle. NOT TO SCALE   x  y (A)  70 120 (B)  50 120 (C)  70 100 (D)  50 100 Which of these cannot be values for x and y ? NOT TO SCALE   x  y (A)  70 120 (B)  50 120 (C)  70 100 (D)  50 100 3. This is a sector graph (pie graph). cars Key trucks motorbikes bicycles Vehicles Passing the\  School 90 21 15 9 What is the angle at the centre for the number of cars passing this school? (A) 296° (B) 284° (C) 257° (D) 240° 4. In the toy car shown, the diameters of the back wheels are one-and-a-half times the diameters of the front wheels. When the car travels one metre, the back wheels go around 6 times. How many times do the front wheels go around when the car travels one metre? (A) 4 (B) 6 (C) 9 (D) 12

3 ICAS Mathematics Practice Questions Paper H © EAA 5. Katya has a set of Russian dolls. The heights of her dolls are shown. They increase by a fixed ratio. 128 mm 96 mm 72 mm 54 mm 40.5 mm 1.1603 10 x mm The s malle st doll fits in the ne xt larger doll . They both fit inside the next doll. The largest doll shown fits all four of the other dolls inside it. Katya calculates the height of the doll that can fit exactly 700 dolls inside it, including the dolls shown. She writes the answer as: 128 mm 96 mm 72 mm 54 mm 40.5 mm 1.1603 10 x m m What is the value of x? END OF P APER W rite your answer in the boxes provided on the ANSWER SHEET and in the ovals that match your answer . QUESTION 5 IS FREE RESPONSE.

H PAPE R The follo wing year levels should sit THIS Paper : A ustr alia Year 10 Br unei For m 5 Hong Kong For m 4 Indonesia Year 11 Mala ysia For m 4 Ne w Zealand Year 11 Y ear 10 Singapor e Secondary 3 South Africa Grade 10 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 atio n al C om pe tit io n s and A ss e ssm ents fo r S ch o ols M P A PER H 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 H © EAA QUESTIONKEYSOLUTION STRANDLEVEL OF DIFFICUL TY 1 CThe missing part in C is one thir d which matches the slice (one thir d); altogether they complete one whole. Space and Geometry Easy 2 AThe sum of x and y adds to 190° which is mor e than the angle sum of a triangle (180°). Space and Geometry Easy 3 DThe total number of vehicles = 135 The angle at the centr e for cars = 90 135 × 360° = 240° Chance and Data Medium 4 CLet D be the diameter of the big wheel (back wheel). Let d be the diameter of the small wheel (fr ont wheel). Accor ding to the question information, D = 3/2 × d. When the car travels 1 m, the big wheel mak es 6 turns. Ther efore, 6 × the cir cumference of the big wheel = 1 Cir cumfer ence of the big wheel is πD, ther efore the equation can be pr esented as: 6 × πD = 1….(Equation 1) . Let x be the number of turns the small wheel mak es when the car travels 1m. Using the same logic, we can form the equation x × πd = 1…. (Equation 2) Dividing Equation 1 by Equation 2: 6D xd = 1 6D d x = 6 × 3 2 x = = 9 , make x the subject of the equation: 6D xd = 1 6D d x = 6 × 3 2 x = = 9 Substitute D= 3/2 d D xd = 1 6D d x = 6 × 3 2 x = = 9 . Measur ement Medium

ICAS Mathematics Practice Questions Paper H © 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 89Height of smallest doll is 40.5mm. Rate of incr ease in height of successive dolls is 128 96 12896 700 . Height of doll with 700 dolls inside = 40.5 × 128 96 12896 700 = 1.1603 × 10 89 mm Ther efore, the value of x is 89. Number and Arithmetic Har d