Reading the code from left to right from the upper left corner and using the key provided, option C is the only code that shows correctly all digits of the given number. Number and[r]
(1)E
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MatheMatics
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Practi
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Quest
ions
(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) °C freezing
point of water
human body
temperature boiling pointof water
37 °C 100 °C
(B) (C) (D)
2
5
×
50 =
?
(A) 500
(B) 000
(C) 250
(D) 100
3
Which one of the following numbers is
four hundred thousand, six hundred and
two
?
(A) 400 062
(B) 400 602
(C) 406 002
(D) 406 602
4
Blake made up the following code.
1
0
(B) (A)
(D) (C)
To 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
0
(B) (A)
(3)3 ICAS Mathematics Practice Questions Paper E © EAA
5
Lyn built a model of a shed It had no
floor and no door It looked like this when
it was finished.
Which of the following shows the shapes
that Lyn used to build the shed?
6
Look at the number grid below.
1 10
11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30
Trent shaded the numbers 1, 4, 8,13
and 19 in that order.
Which number would he shade next if he
followed the same pattern?
(A) 24
(B) 25
(C) 26
(D) 27
7
A snail travelled 1
.
5 metres in hours.
If the snail continued at the same speed,
how far would it travel in 160 minutes?
(A) 60 cm
(B) 100 cm
(C) 150 cm
(D) 600 cm
8
A set of three cogs turns as shown below.
12
8
Cog X
Cog Z Cog Y
If Cog X makes 15 complete revolutions,
how many revolutions Cog Y and
Cog Z make at the same time?
Cog Y Cog Z
(A)
(B) 30
30
10 10 (C)
(D)
1 12
(4)9
This sign can turn about its centre.
(A) (B) (C) (D)
It makes a three-quarter turn in a
clockwise direction and then a half turn in
an anticlockwise direction
Which picture shows the sign after
these turns?
(A) (B) (C) (D)
10 A cube has a volume of 343 cm
3.
What is the
sum
of the lengths of the
edges of the cube, in cm ?
(5)5 ICAS Mathematics Practice Questions Paper E © EAA
(6)E
PAPER
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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 ’ – /
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THE UNIVERSITY OF NEW SOUTH WALES (8)D C B A
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(A) ● The answer is 12, so WRITE your
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as shown The answer is 10, so fill in the oval , as shown.C
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(9)ICAS Mathematics Practice Questions Paper E © EAA
QUESTION KEY SOLUTION STRAND LEVEL OF DIFFICULTY
1 A
The temperature of an ice-cream is very close to the freezing point of water (0 °C) Noticing the given scale, the closest point to °C is option A
Measurement Easy
2 C Multiplying by 50 gives 250 Number and Arithmetic Easy
3 B
This number should have digits If we write it using expanded notation, we should have 400 000 + 600 + In other words, it is 400 602
Number and
Arithmetic Easy
4 C
Reading the code from left to right from the upper left corner and using the key provided, option C is the only code that shows correctly all digits of the given number
Number and
Arithmetic Easy
5 A The 3D shape is made of four rectangles and two pentagons. Measurement Medium
6 C
Trent made his pattern by skipping squares systematically by 2, then 3, then 4, then squares
Following this pattern, he will skip squares to shade the next square Therefore, the next shaded number in Trent’s pattern will be 26
Number and
Arithmetic Medium
7 B
Convert hours to minutes and m to cm first The snail travelled 1.5 m in hours That is equal to 150 cm in 240
Distance travelled in = 150240 cm 150240 × 160
Distance travelled in 160 = 150
240 150240 × 160 cm
= 100 cm
Number 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
Medium/Hard about 30–50% of candidates will choose the correct option
Hard less than 30% of candidates will choose the correct option
8 B
The 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 = : : 12 = : 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 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 ắ and ẵ is ẳ
Therefore, if we turn the sign ắ 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 cm3 then its edge
length is cm There are 12 edges on a cube, so the total length of the edges is × 12 = 84 cm