Đang tải... (xem toàn văn)
eaa is an education group of UNsW Global Pty Limited, a not-for-profit provider of education, training and consulting services and a wholly owned enterprise of the University[r]
(1)C 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 INFORMATION.
Use a 2B or B pencil Do NOT use a pen.
Rub 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 number of correct answers Marks are NOT deducted for incorrect answers.
Practice
Questions
international competitions
(2)ICAS Mathematics Practice Questions Paper C © EAA
1 Here is a group of shapes.
How many circles are in this group? (A) 2
(B) 3 (C) 4 (D) 5
2 Which glass contains the most water?
(A) (B) (C) (D)
3 Here is a number pattern
255, 365, 475, 585, , …? Which number is next in this pattern? (A) 695
(B) 685 (C) 605 (D) 595
4 Here is a group of faces.
KEY happy sad
What fraction of the group has smiling faces?
(A) 1313 (B) 1320 (C) 713 (D) 7
25
5 Here are two identical equilateral triangles.
Which one of the following shapes can be made by joining the two triangles along one side without overlapping?
(3)6 These numbers are multiples of eight. 8, 16, 24, 32, , 136,
Which of the following numbers is also a multiple of eight?
(A) 170 (B) 164 (C) 152 (D) 148
7 This is a bead counter.
Which number is shown on the bead counter?
(A) 1.23 (B) 3.21 (C) 123 (D) 321
8 Megan put a jug under a leaking tap She measured the volume of water in the jug every minutes
This graph shows her results.
0 200 400 600 800 1000
5 10 15 20 25
Volume of water in jug (mL)
Time (minutes)
Between which time periods did the tap leak fastest?
(4)ICAS Mathematics Practice Questions Paper C © EAA
9 This padlock can be opened if the instructions written on each button are followed in the correct order All buttons must be pressed.
R 1R R
1R
S
1D T2L
V 1L
1L W
1U
Y Z
END
Y
END
U 1D X
2R
Left
Down Up
Right
On the buttons, the letters U, D, L, R stand for Up, Down, Left and Right.
For example,
R 1R R
1R
S
1D T2L
V 1L
1L W
1U
Y Z
END
Y
END
U 1D X
2R
Left
Down Up
Right
means press button R and then move button to the right.
If you end on button Y, at which button should you start to open the lock? (A) R
(B) T (C) V (D) W
10 Peter had some triangular tiles with sides cm long.
He placed them side by side to make a trapezium
If the perimeter of the trapezium was 27 cm, how many tiles did Peter use? (A) 3
(B) 5 (C) 7 (D) 9
(5)(6)C
PAPER 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
The following year levels should sit THIS Paper:
Australia Year
Brunei Primary
Hong Kong Primary
Indonesia Year
Malaysia standard
New Zealand Year
Pacific Year
Singapore Primary
South Africa Grade
THE UNIVERSITY OF NEW SOUTH WALES
Educational Assessment Australia
eaa.unsw.edu.au
(7)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
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
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
A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D
EXAMPLE 2: Chan Ai Beng
FIRST NAME LAST NAME
A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D
EXAMPLE 3: Jamal bin Abas
FIRST NAME LAST NAME
A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D A B C D M THE UNIVERSITY OF NEW SOUTH WALES
(8)D C B A
D C B A
D C B A
D C B A
D C B A
D C B A
D C B A
D C B A
D C B A
D C B A
1 2 3 4 5 6 7 8 9 10
D C B A
START
Your privacy is assured as EAA fully complies with appropriate Australian privacy legislation Visit www.eaa.unsw.edu.au for more details
International Competitions
and Assessments for Schools
M PaPer
C
TO ANSWER THE QUESTIONS
Example: 4 + 6 =
(A) (B) (C) 10 (D) 24
(9)QUESTION KEY SOLUTION STRAND LEVEL OF DIFFICULTY
1 A There are two circles in the set Space and Geometry Easy D
This question tests estimation By visual approximation based on the width of each glass and the height of the level of water in each glass, D contains the most water
Measurement Easy A The pattern is created by adding 110 to the previous number 585 + 110 = 695 Algebra and Pattern Easy B There are 13 smiling faces out of the total of 20 Number and Arithmetic Easy B
The new shape is a rhombus It has equal sides and not all its angles are equal
Space and
Geometry Medium C × 19 = 152 Number and Arithmetic Medium B This number has ones, tenths and 1 hundredth Therefore, the number is 3.21. Number and Arithmetic Medium/Hard B
From to 10 minutes, the volume of water changed from approximately 120 mL to 320 mL (the difference is 200 mL in
5 minutes) However, between 10 minutes and 15 minutes the change was from 320 mL to 600 mL (280 mL change in the same period of time, minutes) From 15 minutes to
20 minutes, the change was 200 mL (600 mL to 800 mL) and from 20 minutes to 25 minutes the change was the least Therefore, since we are measuring over the same period of time (5 minutes), the fastest rate of leaking was from 10 to 15 minutes
Chance and
(10)ICAS Mathematics Practice Questions Paper C © EAA
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
9 D All the keys are pressed if you start from W and follow the instructions on the buttons. Space and Geometry Hard 10 C
The two sides of the trapezium would be cm + cm = cm The rest of the trapezium, which is 21 cm, would have to be formed by the two bases (the top and the bottom base of the shape) Knowing that each tile has a side of cm, we need to divide 21 by