7 times-table and division facts 3 Here is a hundred square.
1 2 3 4 5 6 7 8 9 10
11 12 13 14 15 16 17 18 19 20
1 a) Draw boxes around the dots to represent
21 22 23 24 25 26 27 28 29 30
the multiplications.
2×7 4×7 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
b) Use your answers to complete these fact families. 91 92 93 94 95 96 97 98 99 100
2×7= 4 × 7 =
a) Shade all the numbers that are in the 7 times-table.
7×2= 7 × =
b) Use the hundred square to work out the calculations.
÷ 2 = 7 ÷ =7
11 × 7 =
÷ 7 = 2 ÷ =
7 × 13 =
84 ÷ 7 =
2 Complete the calculations. 14 × 7 =
a) 3 × 7 = d) 7 × = 63 c) What patterns do you notice?
b) 6 × 7 = e) = 7 × 11 Talk about them with a partner.
c) 7 × 10 = f) 7 × = 35
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4 Complete the calculations. 7 Mo is multiplying a number by 70
a) ÷ 7 = 12 c) ÷7=4 I multiply by
7 first and then by 10,
b) ÷7=7 d) ÷ 7 = 10 because 7 × 10 = 70
5 Complete the number tracks. a) Use Mo’s method to multiply 5 by 70
70 63 56 35
7 14 28
b) Complete the calculation.
× 70 = 840
6 Here is an array made from double-sided counters.
c) Complete the calculation.
3 × 700 =
How did you work this out?
Compare methods with a partner.
a) Complete the table.
8 Complete the calculations.
1×5= 1×2= 1×7=
a) 4 × 70 = c) 5 × 70 =
2×5= 2×2= 2×7=
3×5= 3×2= 3×7= 4 × 700 = 7 × 500 =
4×5= 4×2= 4×7=
b) 6 × 70 = d) 56 ÷ 7 =
5×5= 5×2= 5×7=
700 × 6 = 560 ÷ 7 =
b) How can you use the 5 times-table and the 2 times-table to
work out multiples of 7?
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9 times-table and division facts 2 How many hearts are there in total?
Complete the multiplication fact.
1 Here is a hundred square.
1 2 3 4 5 6 7 8 9 10 × =
11 12 13 14 15 16 17 18 19 20
3 Complete the calculations.
21 22 23 24 25 26 27 28 29 30
31 32 33 34 35 36 37 38 39 40 a) 3 × 9 = g) 6 × 9 =
41 42 43 44 45 46 47 48 49 50
b) ÷ 9 = 12 h) 9 × = 18
51 52 53 54 55 56 57 58 59 60
61 62 63 64 65 66 67 68 69 70
c) 9 × 4 = i) 9 × = 72
71 72 73 74 75 76 77 78 79 80
81 82 83 84 85 86 87 88 89 90 d) ÷9=1 j) ÷ 9 = 11
91 92 93 94 95 96 97 98 99 100
e) 11 × 9 = k) × 9 = 45
a) Shade all the multiples of 9
What pattern do you notice? f) 10 × 9 = l) 20 × 9 =
b) Use the hundred square to complete the calculations.
4 Complete the number tracks.
72 ÷ 9 =
0 9 18 54
27 ÷ 9 =
108 99 72 45 36
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5 These numbers are all multiples of 9 6 Jack is making arrays.
45 54 18 108
a) Show that the sum of the digits of each number is
the same.
a) Use the arrays to complete the multiplications.
1 × 10 = 1×9=
2 × 10 = 2×9=
b) These numbers are also multiples of 9
3 × 10 = 3×9=
198 657 891 999 4 × 10 = 4×9=
What is the sum of the digits of each number? b) Write steps for a partner to explain how you can use the
10 times-table to multiply by 9
c)
I’ve noticed
something about the sum
of the digits of numbers that c) Use your steps to work out these multiplications.
are multiples of 9
11 × 9 =
What do you think Whitney has noticed? 12 × 9 =
13 × 9 =
d) 7,59_ is a multiple of 9
What is the missing digit?
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11 times-table and division facts 3 Rosie is spotting patterns in the 11 times-table.
When I add
together the digits of each
multiple of 11, I always get
an even number.
1 The base 10 represents 2 × 11
2 × 11 = 22
2 + 2 = 4, which is an even number
a) Do you agree with Rosie?
2 × 11 = 22 Explain your answer.
Use base 10 to work out 3 × 11
Draw your base 10 and complete the multiplication.
b) What else do you notice?
What other patterns can you see in the 11 times-table?
Talk about it with a partner.
3 × 11 =
4 a) The place value counters represent 66
2 Complete the calculations.
a) 5 × 11 = e) 7 × 11 =
Circle groups of 11 to help complete the division.
b) 9 × 11 = f) 4 × 11 =
66 ÷ 11 =
c) 6 × 11 = g) 3 × 11 =
b) Use place value counters to help complete the divison.
d) 10 × 11 = h) 12 × 11 = 44 ÷ 11 =
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5 a) Complete the bar models and number sentences. 7 Mr Scott is organising a cricket tournament.
88 a) There are 11 players in a cricket team.
5 teams have signed up for the tournament.
How many players have signed up?
88 ÷ 11 =
11 × = 88
b) Mr Scott needs 132 players signed up to go ahead with
the tournament.
10 10 10 10 10 10 10 10 10 10 10
How many more teams are needed?
11 × 10 =
÷ 11 = 10
more teams are needed.
b) Draw a bar model to represent 7 × 11
Write the related division fact. 8 Think of a 2-digit number.
Reverse the digits to create a new 2-digit number.
Find the sum of the two numbers.
Tiny has done an example.
24 + 42 = 66
6 Filip runs 3 km every day for 11 days.
Dani runs 11 km every day for a week. Repeat with other 2-digit numbers.
How much further does Dani run? What do you notice?
Why does this happen?
Use base 10 to help you explain.
km
Compare methods with a partner.
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Multiply three numbers 3 Complete the multiplications.
a) 3 × 4 × 5 = d) 3 × 5 × 4 =
b) 2 × 3 × 8 = e) 3 × 6 × 10 =
Tommy is making arrays using counters. c) 2 × 4 × 7 = f) 2 × 5 × 12 =
1
a) Complete the multiplications.
4 Is each statement true or false?
Tick your answers.
True False
2 × 5 = 2×5= 2×5= 7×8=7×4×2
12 × 4 = 2 × 4 × 6
b) Use your answer to part a) to complete the multiplication.
3×2×8=5×8
3×2×5=3× = 2×7×4=4×7×2
Compare answers with a partner.
2 Use counters or cubes to complete the multiplications.
a) 2 × 4 × 5 =
5 Here are some digit cards.
3 5 6
b) 3 × 5 × 4 =
a) Use the digit cards to create a multiplication and work out
the answer.
c) 2 × 5 × 8 =
× × =
Is there a quick way to complete each multiplication? b) How many different multiplications can you create?
Talk about it with a partner. What do you notice about all of your answers?
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6 Eggs are put in boxes in arrays of 2 × 3 8 Kim rolls three 6-sided dice.
Dani buys 12 boxes. The product of her numbers is 60
a) How many eggs does she buy altogether? a) What numbers could she have rolled?
b) How many different ways could Kim have made 60?
Dani buys 5 more boxes.
Talk about it with a partner.
b) How many eggs does she have now?
c) Roll three dice and find the product of the numbers
you roll.
7 a) Write 30 as the product of 3 numbers.
× × = 30
9 In the library there are 5 bookcases.
Each bookcase has 4 shelves.
On each shelf there are 12 books.
How many books are there in the library?
b) Find all the possible ways to complete the multiplication.
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