Multiplication
and
Division
Learning From Home
Workbook
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Year 5 Programme of Study
Multiplication and Division
Statutory Requirements Activity Sheet
Identify multiples and factors, including finding
all factor pairs of a number, and common factors
of two numbers.
Common Factors
Know and use the vocabulary of prime
numbers, prime factors and composite
(non-prime) numbers.
Finding Prime Factors
Establish whether a number up to 100 is prime
and recall prime numbers up to 19.
Identifying Prime Numbers to 100
Recalling Prime Numbers 0-19
Multiply numbers up to 4 digits by a one or
2-digit number using a formal written method,
including long multiplication for 2-digit numbers.
Long Multiplication Practice – 3 Digits × 2 Digits
Long Multiplication Practice – 4 Digits × 2 Digits
Multiplication Grids
Multiply and divide numbers mentally drawing
upon known facts.
Halving to Divide by 4, 8 and 16
Doubling to Multiply by 4, 8 and 16
Dividing Multiples of 10 by 1-Digit Numbers
Dividing Multiples of 10
Multiplying Multiples of 10 by 1-Digit Numbers
Divide numbers up to 4 digits by a 1-digit
number using the formal written method
of short division and interpret remainders
appropriately for the context.
Short Division
Short Division Practice 4 Digits Divided By
One Digit
Division Word Problems – Interpreting Answers
Multiply and divide whole numbers and those
involving decimals by 10, 100 and 1000.
Multiplying Whole Numbers by 10
Multiplying and Dividing by 100 and 1000
Dividing Whole Numbers by 10
Recognise and use square numbers and cube
numbers, and the notation for squared (2) and
cubed (3).
Using and Recognising Square and Cube Numbers
Solve problems involving multiplication and
division, including using their knowledge of
factors and multiples, squares and cubes.
Missing Number Multiplication and Division
Crack the Code with Factors, Multiples,
Square Numbers and Cube Numbers
Solve problems involving addition, subtraction,
multiplication and division and a combination of
these, including understanding the meaning of
the equals sign.
Solving Problems Involving an Understanding
of Equals
Understanding the Equals Sign
Solve problems involving multiplication and
division, including scaling by simple fractions
and problems involving simple rates.
Multiplication and Division Piggy Bank Problems
Solving problems Involving Simple Rates
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Common Factors ...............................................................................................
Finding Prime Factors ......................................................................................
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Multiplication Grids ......................................................................................
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Using and Recognising Square and Cube Numbers ...................................
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Square Numbers and Cube Numbers ...........................................................
Solving Problems Involving an Understanding of Equals .........................
Understanding the Equals Sign ....................................................................
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Solving Problems Involving Simple Rates ...................................................
Contents
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Common Factors
3
50
30
99
8
16
21
24
5
20
12
36
40
44
42
108
The common factors are:
The common factors are:
The common factors are:
The common factors are:
The common factors are:
The common factors are:
The common factors are:
The common factors are:
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10
28
6
27
25 75
36 64
42 84
54 90
The common factors are:
The common factors are:
The common factors are:
The common factors are:
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Finding Prime Factors
Know and use the vocabulary of prime numbers, prime factors and composite (non-prime)
numbers.
Every number has a unique set of prime factors. (Prime numbers can be multiplied together to
be the prime factors.
A. B. c.
D. E. F.
G. H. I.
J.
48
3 2 2
2 2
24
6042
72
462
96
44
88
105
Try a larger number!
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Establish whether a number up to 100 is prime and recall prime numbers up to 19.
0 and 100
Identifying Prime Numbers to 100
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Recalling Prime Numbers 0-19
Establish whether a number up to 100 is prime and recall prime numbers up to 19.
and calculating prime factors. Complete this sheet to deepen your familiarisation.
2, 3, 5, 7, 11, 13, 17, 19
13, 7, 19, 2, 5, , ,
six
fifteen
one
nine
thirteen
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Long Multiplication Practice –
3 Digits × 2 Digits
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Long Multiplication Practice –
4 Digits × 2 Digits
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×
×
×
×
×
1.
2.
5.
×
×
×
×
×
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Multiplication Grids
Multiplying 4-Digit Numbers by 1-Digit Numbers Using the Grid Method
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Halving to Divide by 4, 8 and 16
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Doubling to Multiply by 4, 8 and 16
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Dividing Multiples of 10 by
1-Digit Numbers
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Dividing Multiples of 10
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Multiplying Multiples of 10 by
1-Digit Numbers
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Multiplying Multiples of 10 by
1-Digit Numbers
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Short Division
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Divide the numbers up to four digits by a one-digit number using the formal written method
of short division. Some of the answers will have a remainder.
Short Division Practice 4 Digits
Divided By 1 Digit
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Divide numbers up to four digits by a one-digit number using the formal written method of
short division and interpret remainders appropriately for the context.
Division Word Problems – Interpreting Answers
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Multiplying Whole Numbers by 10
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Dividing Numbers by 10
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Multiply and divide whole numbers and those involving decimals by 10, 100 and 1000.
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157
0.25
Multiplying and Dividing by 100 and 1000
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Millions
Hundred
Thousands
Ten
Thousands
Thousands Hundreds Tens Ones Tenths Hundredths Thousandths
÷ 100 ÷ 1000
7600
950
516
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Dividing Whole Numbers by 10
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Using and Recognising Square
and Cube Numbers
) and
cubed (
).
Square Numbers
The product of a number multiplied by itself.
Cube Numbers
The product of multiplying a digit by itself
three times.
C. Calculate the missing numbers.
e)
l)
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89
72
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47
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63
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Missing Number Multiplication
and Division
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Crack the Code with Factors, Multiples,
Square Numbers and Cube Numbers
Solve problems involving multiplication and division, including using their knowledge of
factors and multiples, squares and cubes.
1 2 3 4 5 6 7 8 9 10 11 12 13
A B C D E F G H I J K L M
14 15 16 17 18 19 20 21 22 23 24 25 26
N O P Q R S T U V W X Y Z
Which number? Notes/Number Letter
three and one more than a cube number.
largest square number in the list above.
This number is a multiple of five and three.
numbers.
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Solving Problems Involving an
Understanding of Equals
Solve problems involving addition, subtraction, multiplication and division and a combination
of these, including understanding the meaning of the equals sign.
for you.
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Solve problems involving addition, subtraction, multiplication and division and a combination
of these, including understanding the meaning of the equals sign.
Understanding the Equals Sign
equal. The number to make is given.
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Multiplication and Division
Piggy Bank Problems
Solve problems involving multiplication and division, including scaling by simple fractions
and problems involving simple rates.
could be
Sonia gives half of her money to Krystal.
They both save until they have doubled their money.
themselves equally.
Krystal
Sonia
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Solving Problems Involving
Simple Rates
Solve problems involving multiplication and division, including scaling by simple fractions
and problems involving simple rates.
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