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.[r]
(1)B
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 Your score will be the number of correct answers.ONE answer for each question Marks are NOT deducted for incorrect answers
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
Practice
Questions
international competitions
(2)1 Which picture has squares and 2 circles in it?
(A) (B)
(C) (D)
2 Which line is the longest? (A)
(B) (C) (D)
3 Steve has nails in packs of ten and some left over, as shown.
How many nails does Steve have
4 Kumar wrote the letter ‘F’ in black pen. F
(A) (B)
(C) (D)F
F
F
F
When he turned the page, the ‘F’ showed through on the other side.
What did the ‘F’ look like on the other side of the page?
F
(A) (B)
(C) (D)F
F F
F
5 This is Australian money The gold coins are dollars and the silver coins are cents.
DOLLARS
2 dollars dollars 50 cents 5 cents
20 cents 20 cents 10 cents 10 cents
DOLLARS
2 dollars dollars 50 cents 5 cents
(3)6 These are Australian coins The gold coins are dollars and the silver coins are cents.
50 cents 1
dollar 2
dollars cents20 cents10 cents5
Brooke had $2.00 She spent $1.55. What is the least number of coins she could receive in her change?
(A) 2 (B) 3 (C) 4 (D) 5
7 This basketball court has seats around it.
The shaded area has 000 seats.
What is the approximate number of seats around this basketball court altogether? (A) 000
(B) 000 (C) 500 (D) 500
8 Sue has two coins Each coin has two sides: a head and a tail, as shown.
head tail Sue is going to toss the two coins. What is the chance that she will get one head and one tail?
(A) out of 3 (B) out of 3 (C) out of 4 (D) out of
9 Allen is making a bead necklace using four different coloured beads, as shown.
How many different ways can he arrange these four beads on the necklace?
(4)10 Six chocolate buttons cost the same as four red frogs.
How many chocolate buttons cost the same as ten red frogs?
(5)(6)B
PAPER
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
Acknowledgment
(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
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 8 8 (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 K L M N O P Q R S
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
TO ANSWER THE QUESTIONS
Example: + = (A) (B) (C) 10 (D) 24
(9)QUESTION KEY SOLUTION STRAND LEVEL OF DIFFICULTY
1 C The picture in (C) has squares and cirlces Space and Geometry Easy
2 B Measure the lines Line B is the longest Measurement Easy
3 B There are six packs of ten nails (that is 60 nails) and seven nails left over; together they make 67. Number and Arithmetic Easy D The image is a reflection of the letter ‘F’ on the spine of the book. Space and Geometry Easy
5 C
$5 + × $2 + 50c + 5c + × 20c + × 10c = $10.15
or
$5 + $2 + $2 + 50c + 5c + 20c + 20c + 10c + 10c = $10.15
Number and
Arithmetic Easy
6 B
Brooke received 45c change She could get two 20c coins and one 5c coin (altogether coins) or four 10c coin and one 5c coin (altogether coins) The first combination has the least number of coins
Number and
Arithmetic Medium
7 B
Estimates the total number of seats The top and bottom areas are equal, with 1000 seats each The area on the left-hand side is equal to the area in the right-hand side and can accommodate about 600 seats each
Total estimate = 1000 + 1000 + 600 + 600
Number and
Arithmetic Medium
8 D
The possibilities when tossing two coins together are: (head, head); (tail, tail); (head, tail); (tail, head) There are two possibilities of getting one head and one tail (the order does not matter) out of four Therefore, the answer is out of
Chance and
(10)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
9 C
Create a systematic list of all combinations Here is the way to it:
Use letters to represent the beads Y – for a yellow bead
B – for a blue bead R – for a red bead G – for a green bead
The first arrangement could be: Y B R G
The second arrangement could be: Y B G R
The third arrangement could be: Y R B G
The fourth arrangement could be: Y R G B
The fifth could be: Y G B R
and the sixth arrangement could be: Y G R B
Having the yellow bead at the beginning produces six different arrangements In fact, having any of the four beads as the first bead generates six different arrangements Therefore, 24 different arrangements can be produced
Chance and
Data Hard
10 B
Six chocolate buttons cost the same as four red frogs This means that three chocolate buttons cost the same as two red frogs Therefore, count by threes to calculate that chocolate buttons cost as much as red frogs, chocolate buttons cost as much as red frogs, 12
chocolate buttons cost as much as red frogs and 15 chocolate buttons cost as much as 10 red frogs Therefore, the correct answer is 15
Number and