Download Strand A NUMBER Activities A4 Indices and Factors

PRIMARY Mathematics SKE, Strand A NUMBER: Activities for Year 3/4 and Year 5/6
Strand A NUMBER
Activities
A4 Indices and Factors
Year 3/4
1.
The middle number is the product of the 4 numbers around it.
Fill in the missing numbers.
64
2.
160
320
640
What is the rule? Complete the table and the graph.
n
1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
3.
80
d
1
1,
1,
1,
1,
2
3
2, 4
5
15
14
13
12
11
10
9
8
d 7
6
5
4
3
2
1
0
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15
n
What is the smallest natural multiple of 2, 3, 4, 5 and 8?
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PRIMARY Mathematics SKE, Strand A NUMBER: Activities for Year 3/4 and Year 5/6
Strand A NUMBER
Activities
A4 Indices and Factors, Year 3/4
4.
A cuboid is built from 72 unit cubes. How many units long can the edges be?
First factorise 72, then show the possibilities in the
table.
72
9
5.
a
1
1
1
b
1
2
3
c
72
Circle the natural numbers up to 100 which have only two factors.
(e.g. the only factors of 7 are 7 and 1)
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 31 32 33 34 35 36 37 38 39 40
41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100
We call these numbers prime numbers. List them in increasing order.
................................................................
................................................................
6.
Two positive whole numbers have these factors in common: 1, 2, 3 and 6.
If we combine their factors we get this set: {1, 2, 3, 4, 6, 9, 12, 18}.
Write the factors in the correct set if:
1 ≤ n ≤ 18
A = {factors of the 1st number}
A
B
B = {factors of the 2nd number}
What are the two numbers?
and
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PRIMARY Mathematics SKE, Strand A NUMBER: Activities for Year 3/4 and Year 5/6
Strand A NUMBER
Activities
A4 Indices and Factors
Year 5/6
1.
2.
a)
Complete the table to show how 24 flowers can be arranged in equal
bunches.
Flowers per bunch
1
2
Number of bunches
24
12
3
4
12
4
3
1
b)
List the factors of 24. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
a)
Continue drawing the dots. y is a factor of x and x ≤ 30.
y
30
29
28
27
26
25
24
23
22
21
20
19
18
17
16
15
14
13
12
11
10
9
8
7
6
5
4
3
2
1
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
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x
PRIMARY Mathematics SKE, Strand A NUMBER: Activities for Year 3/4 and Year 5/6
Strand A NUMBER
Activities
A4 Indices and Factors, Year 5/6
b)
3.
Complete these statements.
i)
x is a
of y
ii)
A = {has exactly two factors} = { . . . . . . . . . . . . . . . . . . . . . . . . . . }
iii)
B = {has an odd number of factors} = { . . . . . . . . . . . . . . . . . . . . . }
iv)
C = {has only one factor} = { . . . . . . . . . . . . . . . . . . . . . . . . . }
Fill in the Venn diagram by following the
flow chart.
The base set contains
the integers from
START
0 to 30.
0 ≤ n ≤ 30
I
D
C
II
III
IV
A
B
Look at an element
of the base set
Is it
divisible
by 6?
YES
Is it
divisible
by 4?
YES
Write it in
area III
NO
NO
Is it
divisible
by 4?
YES
Write it in
area IV
Write it in
area II
NO
Write it in
area I
END
4.
The arrows point
towards the factors.
Continue drawing
the arrows.
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32
1
24
2
4
8
PRIMARY Mathematics SKE, Strand A NUMBER: Activities for Year 3/4 and Year 5/6
Strand A NUMBER
Activities
A4 Indices and Factors, Year 5/6
5.
a)
Write the natural numbers from 1 to 40 in the Venn diagram.
1 ≤ n ≤ 40
(i)
Factors of 24
Factors of 40
(ii)
6.
b)
What is the greatest
common factor of 24 and 40?
c)
What is the lowest
common multiple of 24
and 40?
d)
What kind of numbers are
in the parts of the diagram
labelled i), ii), iii) and iv)?
Write a sentence to
describe each set.
(iii)
(iv)
Some digits are missing from these numbers.
a)
4
b)
67
c)
134
d)
Write the complete numbers so that each number is:
7.
i)
a multiple of 3
ii)
iii)
a multiple of 5 but not a multiple of 4
iv)
a multiple of 5 and a multiple of 4.
a)
Write the missing labels in the Venn diagram.
≤ n ≤
23
22
20 28 32
40 44 52
56
exactly divisible by 4
25
26
29 31
21 27 33
39 45 57
24 36
51
48 60 30
54 42
53 55
58
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46
49
59
5
50
34
35
37
38
41
43
47
9
0
PRIMARY Mathematics SKE, Strand A NUMBER: Activities for Year 3/4 and Year 5/6
Strand A NUMBER
Activities
A4 Indices and Factors, Year 5/6
b)
Complete this sentence about what the diagram shows.
and by
A number which is divisible by
.
divisible by
8.
and by
is also
c)
Write true statements about the different sections, including the empty areas.
a)
Show that when x = 8 and y = 24,
b)
Find other positive integers, x and y, which also make the equation true.
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1
1
1
+
= .
x
y
6