Name: _________________________________
Mathletics Diagnostic Test
Year 5 - National Curriculum
7376
ANSWER KEY
Number and Algebra
Suggested Time: 45 minutes
30 marks
Name:
Teacher:
Date:
All questions are worth one mark.
Sub-strand and content elaborations are based on Version 1.2 ACARA Australian National Mathematics Curriculum Year 5 | March 2011
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Section 1 - Number and Place Value
ACMNA122
a Which numbers can be divided by 2?
A 2, 45, 67, 88
0 16, 32, 44, 68
C 2, 17, 29, 36
D 2, 6, 8, 19
C 4, 54, 74
D 4, 22, 32
b Which numbers can be divided by 4?
0 4, 16, 128
B 4, 24, 114
c Which number is closest to 9500 x 600?
A
570,000,000
B
570
0
5,700,000
D
3, 4, 5
C
3, 5, 9
0
57,000
d Which are factors of 56?
A
2, 5, 6
B
4, 7, 8
e How much money would you need to buy 4 items that cost $13 each?
A $5.2
B
$26
C
$520
0
$52
Space for working
ACMNA122
/5
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Section 2 - Number and Place Value
ACMNA100/101/291
a Use the lattice below to multiply 10 by 27.
270
Answer:
b Use the partition below to multiply 6 by 43.
Tens
4
x
6
=
240
Ones
3
x
6
=
18
=
+
258
c Divide 52 by 13.
A 5
B
0.25
0
4
D
2.00
B
0.09
C
12
D
9
d Divide 45 by 4.
0 11.25
e What is the remainder of 38 ÷ 4?
Answer:
2
ACMNA100/101/291
/5
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Name: _________________________________
Section 3 - Fractions and Decimals
ACMNA125/126/127
a Complete the number line below. Then write equivalent fractions in the boxes above.
Write your answers in the boxes on the number line below.
1/4
0
2/4
3/4
1/2
1
2
b Which fraction is equivalent to 4/8?
A
1/4
C
3/4
0
1/2
D
3/5
c My friend has a watermelon which has been cut into 6 pieces. If I get half and my
sister gets 1/3 how much is left?
1/6
Answer:
d What is 12/12 + 6/12?
A
12/19
0
18/12
B
19/12
D
17/12
A
4/16
C
15/16
0
5/16
D
6/16
e What is 10/16 - 5/16?
ACMNA125-127
/5
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Name: _________________________________
Section 4 - Fractions and Decimals
ACMNA104/105
a What is the equivalent of 0.007?
A
700/1000
7/1000
0
C
70/1000
D
35/1000
D
hundreds
b What is the place value of the 3 in the number 5.913?
A
thousands
B
hundredths
0
thousandths
c What is the place value of the 1 in the number 2.613?
A
thousandths
B
tenths
0
hundredths
D
hundreds
d Locate 5.35 on the numberline.
Teacher discretion
5.300
5.400
e Locate 6.451 on the numberline.
Teacher discretion
6.450
6.460
ACMNA104/105
/5
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Section 5 - Money and Financial Mathematics
ACMNA106
Use the information below to answer questions a - d.
a The budget above is divided into 'Income and Expenses'. For the fundraiser to be
successful, do you need the income or expenses total to be lower?
The expenses must be less than the income or no money will
be raised. Teacher discretion.
Answer:
b
You have been put in charge of purchasing balloons and you have a budget of $13.
You need to buy 1,000 balloons.
What is the most you can afford per balloon?
c
A
$130.00
0
$0.01
B
$1.30
D
$0.13
Income from the event is as follows:
Entry fees =
Ticket sales =
Other income =
$
$
$
520.00
1,035.00
299.00
You are expecting to make a 5% on the income received. How much money are you
expecting to make?
0
$92.70
C
$1,761.30
B
$9,270.00
D
$37,080.00
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
d
e
Refer to information on the previous page.
How much did all the expenses cost? Use your working and answer in
question c to answer this question.
A
$1,765.30
C
$1,946.70
0
$1,761.30
D
$92.70
The invoice below shows GST of $0.63
Which two items had GST included in their cost?
0
wasabi peas and organic
amaranth
C
all of the items
B
packaged dates
D
can't tell
`
ACMNA106
/5
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011
Name: _________________________________
Section 6 - Patterns and Algebra
ACMNA107/121
a
A
b
A
c
d
e
What is the next number in this pattern?
1, 1.25, 1.5, 1.75… ?
1.5
B
3
0
2
D
2.5
0
6
What is the next number in this pattern?
8, 7.5, 7, 6.5…?
6.5
B
5.5
Which number follows this pattern?
#
1
1 3/4
C
7
2 1/2
3 1/4
0
4
C
3 3/4
B
4 1/4
D
4 3/4
?
Describe the pattern in question c.
A
add 1/4
C
subtract 3/4
B
add 1/2
0
add 3/4
You are making fruit salad for four people. You have 2 bananas and 6 mangos.
How much mango and banana will each person receive?
0
0.5 banana; 1.5 mango
C
0.75 banana; 1.75 mango
B
1.5 banana; 1.5 mango
D
0.5 mango; 1.5 banana
ACMNA107/121
/5
© 3P Learning Pty Ltd - Mathletics National Curriculum Assessment Series - 2011