MATHEMATICS I
Mathematics Assignment 4
Foundation I
Name: __________________________________________
Additional materials:
Black Pen
Ruler
Pencil
Colour Pencils (optional)
Calculator (unless otherwise specified in the question)
Pair of compasses
READ THESE INSTRUCTIONS FIRST
● Answer all questions in the spaces provided on the question paper.
● You should show all your working on the question paper.
● The number of marks is given in the brackets [ ] at the end of each question or part
question.
● This assessment contains a total of 9 pages and the total number of marks for this
paper is 58.
● Recommended time to complete this assignment is 55 minutes.
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Page 1 of 9
MATHEMATICS I
1
A cuboid has dimensions 2 𝑐𝑐𝑐𝑐 × 3 𝑐𝑐𝑐𝑐 × 5 𝑐𝑐𝑐𝑐. Part of the net of this cuboid is
shown on the centimetre square grid. Complete the net of the cuboid.
2
Calculate the following without the use of a calculator: (Show working out)
(a)
1.56 × 3.6
[2]
_________________ [2]
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Page 2 of 9
MATHEMATICS I
(b)
3
5.44 ÷ 1.6
_________________ [2]
The cuboid drawn is NOT drawn to scale. It has dimensions 8 𝑐𝑐𝑐𝑐, 5 𝑐𝑐𝑐𝑐 and 14 𝑐𝑐𝑐𝑐.
Determine the volume of the cuboid without the use of a calculator.
(Show working!)
4
5
_________________ [2]
Andy, Brian and Charlie share $72 in the ratio 2: 3: 4. How much goes to Brian?
_________________ [2]
Here are five expression cards.
𝑝𝑝 − 𝑞𝑞
A
𝑝𝑝 + 𝑞𝑞
B
𝑝𝑝2
C
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Page 3 of 9
2𝑝𝑝
D
𝑞𝑞 2 + 1
E
MATHEMATICS I
(a)
(b)
6
7
Which two cards have the same value when 𝑝𝑝 = 3 and 𝑞𝑞 = −1? (No Calculator!)
Card _________ and Card _________ [2]
Which two cards have the same value when 𝑝𝑝 = 𝑞𝑞?
Card _________ and Card _________ [2]
A biased die is thrown. The probability that it will land on a 6 is 0.8. What is the
probability that it will not land on a 6?
_________________ [2]
The regular tetrahedron drawn is NOT drawn to scale. It has edges of length 2 cm.
Use a ruler and a pair of compasses to accurately draw its net.
[1]
Regular Tetrahedron
8
Net
Anna is thinking of a number. She says, “If I halve my number and then halve it
again my answer is 24.” Determine Anna’s number without the use of a calculator.
_________________ [1]
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Page 4 of 9
MATHEMATICS I
9
Some students were asked to choose their favourite colour from red, blue, green
and yellow. The bar chart and pie chart show the results. It is given that the same
number of both boys and girls chose green.
(a)
How many girls were asked altogether?
(b)
Victor says that yellow is equally popular with boys and girls.
Explain why Victor is wrong.
_________________ [2]
__________________________________________________________________
__________________________________________________________________
10
__________________________________________________________________ [2]
Complete this chart showing information about a rectangle.
Length (𝑐𝑐𝑐𝑐)
Width (𝑐𝑐𝑐𝑐)
2
Area (𝑐𝑐𝑚𝑚2 )
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Page 5 of 9
Perimeter (𝑐𝑐𝑐𝑐)
16
[2]
MATHEMATICS I
11
Cola is sold in cans and bottles at the following prices:
● A 330 𝑚𝑚𝑚𝑚 can of cola costs 55 cents.
● A 500 𝑚𝑚𝑚𝑚 bottle of cola costs 85 cents.
Which is better value for money? Explain your answer.
__________________________________________________________________
__________________________________________________________________
12
(a)
__________________________________________________________________ [3]
Joseph has a spinner shown below. Using the spinner, answer the following:
Circle the correct chance of spinning a 2.
Impossible
(b)
even
likely
certain
[1]
What is the chance of spinning a number less than 10?
Circle your answer on the probability scale below.
Impossible
13
unlikely
Unlikely
Even
[1]
Likely
Certain
Noah is thinking of a number. He says “It is a multiple of 25. It is even. It is greater
than 550 but less than 700. It is not 600.” What number is Noah thinking of?
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Page 6 of 9
_________________ [1]
MATHEMATICS I
14
Three fractions are given below:
1
1
2
4
1
10
Write each fraction in the correct box on the number line.
15
[3]
The following five numbers are given:
3, 4, 5, 6 and 7
Use each number once to complete the cross pattern so that the total going
across is the same as the total going down.
16
[5]
A glass holds 225 millilitres of water. Peter drinks 1.8 litres of water during a day.
How many glasses of water does he drink during the day?
_________________ [2]
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Page 7 of 9
MATHEMATICS I
17
18
Victoria has 2 boxes. One box is three times heavier than the other. The total mass is
500 grams. What is the mass of each box?
_________________ [2]
William makes a sequence of five numbers. The first number is 2. The last number
is 14. His rule is to add the same number each time. Fill in the missing numbers. [3]
2
19
Convert the following fractions:
(a)
5 into an improper fraction.
(b)
3
4
17
5
14
_________________ [1]
into a mixed number.
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Page 8 of 9
_________________ [1]
MATHEMATICS I
20
21
22
Circle three numbers that add up to 200.
2
4
8
16
32
64
128
Look at these four calculations.
One is wrong! Put a cross (×) through the incorrect calculation.
9.5 × 3 = 28.5
3.9 × 9 = 35.1
2.6 × 4 = 12.4
24
[1]
[2]
Reason
Complete the equation by filling in the missing number in the block:
[1]
𝑦𝑦𝑦𝑦𝑦𝑦 𝑙𝑙𝑙𝑙 ÷ 5 = 24
Order these numbers starting with the largest:
340
25
4.2 × 6 = 25.2
AB is given as a straight line and the diagram is NOT drawn to scale. Determine
the size of angle 𝑥𝑥° without using a protractor. Make sure to state your reason.
Statement
23
[1]
−620
380
−93
−175
__________________________________________________________________ [5]
Write the same natural number in both boxes to make this equation correct.
𝑦𝑦𝑦𝑦𝑦𝑦 𝑙𝑙𝑙𝑙 ×
𝑦𝑦𝑦𝑦𝑦𝑦 𝑙𝑙𝑙𝑙 = 64
[𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇𝑇: 58]
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Page 9 of 9
[1]