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1
Daily Maths Practice
Grade 5
Workbook 2
Multiples, Factors, Prime Number &
Divisibility
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2
Grade 5
Daily Maths Practice: Day 1
Multiples
Practice number 1: First 6 Multiples
Write down the first 6 multiples of the following numbers:
1.
12 - ______________________________________________________
2.
20 - ______________________________________________________
3.
8-
4.
25 - ______________________________________________________
5.
9-
6.
40 - ______________________________________________________
______________________________________________________
______________________________________________________
Practice number 2: Common Multiples
List the first 4 common multiples of the following numbers:
1.
4 and 6
______________________________________________________________
______________________________________________________________
2.
3 and 9
______________________________________________________________
______________________________________________________________
3.
8 and 12
______________________________________________________________
______________________________________________________________
Challenging Practice
Can you find the mystery number?
The number is less than 110 and a common multiple of 2, 3, 4, 6, 9 and 12.
There are 3 possible options, can you find all three?
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
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Grade 5
Daily Maths Practice: Day 2
Factors
Practice number 1: Factors of numbers
Write down the factors of the following numbers:
1.
12 -
______________________________________________________
2.
108 -
______________________________________________________
3.
96 -
______________________________________________________
4.
27 -
______________________________________________________
5.
72 -
______________________________________________________
6.
63 -
______________________________________________________
Practice number 2: Common Factors
List the common factors of the following numbers:
1.
24 and 72
______________________________________________________________
______________________________________________________________
2.
96 and 48
______________________________________________________________
______________________________________________________________
3.
54 and 27
______________________________________________________________
______________________________________________________________
Challenging Practice
The following numbers are all factors of a number. Find a number, smaller than 100,
which this true.
1, 3, 9, 7
_____________________________________________________________________
_____________________________________________________________________
_____________________________________________________________________
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4
Grade 5
Daily Maths Practice: Day 3
Multiples & Factors
Practice number 1: Highest Common Factor
Write down the HCF for the following numbers:
1.
36 and 54
_______________________________________________________________
_______________________________________________________________
2.
63 and 49
_______________________________________________________________
_______________________________________________________________
Practice number 2: Lowest Common Multiple
List the LCM of the following numbers:
1.
6 and 14
_______________________________________________________________
_______________________________________________________________
2.
9 and 12
_______________________________________________________________
_______________________________________________________________
Challenging Practice
1.
What is the 8th multiple of 12? __________________________
2.
The number 54 is the _________________ multiple of 9.
3.
The 7th multiple of _________________ is equal to 63.
36
4.
49
132
84
72
Which of the above numbers are all multiples of 6? __________________________
___________________________________________________________________
5.
Which of the above numbers has 7 as a common factor? _____________________
6.
All the factors of one of these numbers w ill be factors for another number.
Which two numbers will that be?
______________________________________________
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5
Grade 5
Daily Maths Practice: Day 4
Prime Numbers
Practice number 1: Prime Numbers
List all the Prime Number from 1 to 50:
_______________________________________________________________
_______________________________________________________________
_______________________________________________________________
_______________________________________________________________
_______________________________________________________________
Practice number 2: Prime Numbers
Write down the definition of a Prime Number:
_______________________________________________________________
_______________________________________________________________
_______________________________________________________________
Challenging Practice
1.
Write down all the Prime factors of 56:
_________________________________________________________________
2.
Take the following numbers and break them down into their Prime factors:
54
60
9x6
10 x 6
____ x ____ x ____ x _____
_____ x ____ x ____ x _____
72
35
9x8
____ x ____
____ x ____ x ____ x ____ x ____
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6
Grade 5
Daily Maths Practice: Day 5
Divisibility
Divisibility explained:
A number is DIVISIBLE by another number, if the number can be divided by that
number without any remainder, e.g. 9 is divisible by 3, because 9 ÷ 3 = 3 without any
remainder.
There are specific rules that make it easier to test if a number is divisible by another
number.
Divisibility Rule:
Example:
All even numbers are always divisible by 2.
456 784 will be divisible by 2
All numbers with a zero (0) in the Units place, are
divisible by 10.
678 980 will be divisible by 10
5
All numbers with either a zero (0) or a five (5) in the Units
place, are divisible by 5.
345 785 and 999 990 will be
divisible by 5
3
If the sum of the digits of a number is divisible by 3, then
the original number will also be divisible by 3.
750: 7+5+0 = 12, 12÷3 = 4,
750 will be divisible by 3
4
If the last two digits of a number are divisible by 4, the
number will also be divisible by 4.
45 716: 16÷4= 4, 45 716 will
be divisible by 4
6
If a number is divisible by 2 and by 3 then the
number will be divisible by 6.
354: Divisible by 2,
3+5+4 = 12, 12÷3 = 4, 354
will be divisible by 6.
9
If the sum of the digits of a number is divisible by 9, then
the original number will also be divisible by 9.
6 984: 6+9+8+4= 27,
27÷9 = 3, 6 984 is divisible by
2
10
Look at the following numbers and tick the column if the number is divisible by that number.
Number
÷2?
÷3?
÷4?
÷5?
5 841
77 085
840
936
108 405
6
÷6?
÷9?
÷10?
7
Grade 5
Daily Maths Practice: Day 1 Memo
Practice number 1: First 6 Multiples
Write down the first 6 Multiples of the following numbers:
1.
12 - 12; 24; 36; 48; 60; 72
2.
20 - 20; 40; 60; 80; 100; 120
3.
8-
4.
25 - 25; 50; 75; 100; 125; 150
5.
9-
6.
40 - 40; 80; 120; 160; 200; 240
8; 16; 24; 32; 40; 48
9; 18; 27; 36; 45; 54
Practice number 2: Common Multiples
List the first 4 common multiples of the following numbers:
1.
4 and 6
6; 12; 18; 24; 30; 36; 42; 48
4; 8; 12; 16; 20; 24; 28; 32; 36; 40; 44; 48
Common: 12; 24; 36; 48
2.
3 and 9
9; 18; 27; 36; 45; 54
3; 6; 9; 12; 15; 18; 21; 24; 27; 30; 33; 36
Common: 9; 18; 27; 36
3.
8 and 12
12; 24; 36; 48; 60; 72; 84; 96
8; 16; 24; 32; 40; 48; 56; 72; 80; 88; 96
Common: 24; 48; 72; 96
Challenging Practice
Can you find the mystery number?
The number is less than 110 and a common multiple of 2, 3, 4, 6, 9 and 12.
There are 3 possible options, can you find all three?
36, 72 and 108
TIP: Start by multiplying two of the biggest numbers and then test e.g. 9 x 12 (test), 6 x
12 (test) etc.
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8
Grade 5
Daily Maths Practice: Day 2 Memo
Practice number 1: Factors of numbers
Write down the factors of the following numbers:
1.
12 -
1, 12, 2, 6, 3, 4
2.
108 -
1, 108, 2, 54, 3, 36, 4, 27, 6, 18, 9, 12
3.
96 -
1, 96, 2, 48, 3, 32, 4, 24, 6, 16, 8, 12
4.
27 -
1, 27, 3, 9
5.
72 -
1, 72, 2, 36, 3, 24, 4, 18, 6, 12, 8, 9
6.
63 -
1, 63, 3, 21, 7, 9
Practice number 2: Common Factors
List the common factors of the following numbers:
1.
24 and 72
24: {1, 24, 2, 12, 3, 8, 4, 6} 72: {1, 72, 2, 36, 3, 24, 4, 18, 6, 12, 8, 9}
Common factors:
2.
1, 2, 3, 4, 6, 8, 12, 24
96 and 48
48: {1, 48, 2, 24, 3, 16, 4, 12, 6, 8}
Common factors:
96: {1, 96, 2, 48, 3, 32, 4, 24, 6, 16, 8, 12
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
TIP: Can you see that if one of the numbers (48) is a factor of the other number (96), then all the
factors of that number (48) will be common factors for both.
3.
54 and 27
54: {1, 54, 2, 27, 3, 18, 6, 9}
Common factors:
27: {1, 27, 3, 9}
1,3, 9, 27
Challenging Practice
The following numbers are all factors of a number. Find a number, less than 100, for
which this is true.
1, 3, 9, 7
63 - TIP: Multiply any two digits and see if you can get the number (e.g. 9 x 7)
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Grade 5
Daily Maths Practice: Day 3
Multiples & Factors—Memo
Practice number 1: Highest Common Factor
Write down the HCF for the following numbers:
1.
36 and 54
36: {1, 36, 2, 18, 3, 12, 4, 9, 6}
54: {1, 54, 2, 27, 3, 18….}
2.
HCF = 18
63 and 49
49: {1,49,7}
63: {1, 63, 3, 21, 7, ….}
HCF = 7
Practice number 2: Lowest Common Multiple
List the LCM of the following numbers, other than 1:
1.
6 and 14
6: {6,12,18,24,30,36,42,48,54,60,...}
14: {14,28,42,…}
2.
LCM = 42
9 and 12
9: {9,18,27,36,45,54,63,72,81,90,…}
12: {12,24,36,…}
LCM = 36
Challenging Practice
1.
What is the 8th multiple of 12? 8 x 12 = 96
1.
The number 54 is the 6th multiple of 9.
2.
The 7th multiple of 9 is equal to 63.
36
4.
49
132
84
72
Which of the above numbers are all multiples of 6?
36, 132, 84, 72
5.
Which of the above numbers has 7 as a common factor? 49, 84
6.
All the factors of one of these numbers will be factors for another number. Which two
numbers will that be? All the factors of 36 will be the common factors for 36 and 72
Remember: If a number is a factor of another number, all the factors of that number will
also be factors of the bigger number.
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10
Grade 5
Daily Maths Practice: Day 4 Memo
Practice number 1: Prime Numbers
List all the Prime Number from 1 to 50:
2
3
5
13
17
19
31
37
7
11
23
41
43
29
47
Practice number 2: Prime Numbers
Write down the definition of a Prime Number:
A Prime number is a number that is divisible only by 1 and itself. The number 1 is not a
Prime number.
Challenging Practice
1.
Write down all the Prime factors of 56:
56: {2, 7} remember 1 is not a prime number
2.
Take the following numbers and break them down into their Prime factors:
54
60
9 x6
10 x 6
3x3 x3x2
5x 2 x 3 x 2
72
35
9x8
7x5
3x3x2x2x2
Number
÷2?
÷3?
5 841
√
77 085
√
÷4?
÷6?
÷9?
÷10?
√
√
840
√
√
√
936
√
√
√
108 405
÷5?
√
√
√
√
√
√
10
√
√
√
11
Grade 5
Daily Maths Practice: Day 5
Divisibility
Divisibility explained:
A number is DIVISIBLE by another number, if the number can be divided by that number
without any remainder, e.g. 9 is divisible by 3, because 9 ÷ 3 = 3 without any remainder.
There are specific rules that make it easier to test if a number is divisible by another
number.
Look at the following numbers and tick the column if the number is divisible by that number .
Divisibility Rule:
Example:
All even numbers are always divisible by 2.
456 784 will be divisible by 2
All numbers with a zero (0) in the Units position, are
divisible by 10.
678 980 will be divisible by 10
5
All numbers with either a zero (0) or a five (5) in the Units
position, are divisible by 5.
345 785 and 999 990 will be
divisible by 5
3
If the sum of the digits of a number is divisible by 3, then
the original number will also be divisible by 3.
750: 7+5+0 = 12, 12÷3 = 4,
750 will be divisible by 3
4
If the last two digits of a number are divisible by 4, the
number will also be divisible by 4.
45 716: 16÷4= 4, 45 716 will
be divisible by 4
6
If a number is divisible by 2 and by 3 then the
number will be divisible by 6.
354: Divisible by 2,
3+5+4 = 12, 12÷3 = 4, 354
will be divisible by 6.
9
If the sum of the digits of a number is divisible by 9, then
the original number will also be divisible by 9.
6 984: 6+9+8+4= 27,
27÷9 = 3, 6 984 is divisible by
2
10
Number
÷2?
÷3?
5 841
√
77 085
√
÷4?
÷6?
÷9?
÷10?
√
√
840
√
√
√
936
√
√
√
108 405
÷5?
√
√
√
√
√
√
11
√
√
√