mathematics paper e
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Practice
Questions
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ICAS Mathematics Practice Questions Paper E © EAA 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)
0 °Cfreezingpoint ofwater
human bodytemperature
boiling pointof water
37 °C 100 °C
(B) (C) (D)
2. 5 × 50 = ?(A) 2 500(B) 1 000(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 2 3 4 5 6 7 8 90
(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 2 3 4 5 6 7 8 90
(B)(A)
(D)(C)
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 2 3 4 5 6 7 8 9 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 4 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
4
8
Cog X
Cog Z
Cog Y
If Cog X makes 15 complete revolutions, how many revolutions do Cog Y and Cog Z make at the same time?
Cog Y Cog Z
(A) 7
(B) 30
30
10
10(C)
(D)
12
7 12
22 12
22 12
ICAS Mathematics Practice Questions Paper E © EAA 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 cm3.
What is the sum of the lengths of the edges of the cube, in cm ?
END OF PAPER
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5 ICAS Mathematics Practice Questions Paper E © EAA
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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 0 °C is option A.
Measurement Easy
2 C Multiplying 5 by 50 gives 250. Number and Arithmetic Easy
3 B
This number should have 6 digits. If we write it using expanded notation, we should have 400 000 + 600 + 2. 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 5 squares.Following this pattern, he will skip 6 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 4 hours. That is
equal to 150 cm in 240 min.
Distance travelled in 1 min = 150240
150240
× 160 cm
Distance travelled in 160 min = 150240
150240
× 160 cm
= 100 cm
Number and Arithmetic Hard
ICAS Mathematics Practice Questions Paper E © 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
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 = 8 : 4 : 12 = 1 : ½ : 3/2Cog X has twice the number of teeth as cog Y, so when cog X makes a complete revolution, cog Y must make 2 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 ¾ and ½ is ¼. Therefore, if we turn the sign ¾ 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 7 cm. There are 12 edges on a cube, so the total length of the edges is 7 × 12 = 84 cm
Measurement Hard