Step-by-step Maths Level 5 Times tables 6 to 12: check-up and practice test questions

Method. Division with equal groups: the number of boxes is the total divided by the box size.

1. Find the total and the size of each box. The total is how many; the box holds a certain number.
   63 cups in boxes of 7
2. Think: how many groups of the box size make the total? This is a division, which we can check with the table.
   7 × ___ = 63
3. Count the boxes. Count in the box size until you reach the total.
   7, 14, 21, 28, 35, 42, 49, 56, 63
4. Write the answer. This is the number of boxes.
   9

Check. Check: 9 boxes of 7 hold 9 × 7 = 63 cups.

Watch out. Check the answer makes sense: each box holds the same number.

Method. Count in steps of the known number until you reach the total.

1. Think: how many groups of 6 make 60? Count in steps of the number we know.
   6, 12, 18, 24, 30, 36, 42, 48, 54, 60
2. Count the groups. We said 10 numbers, so there are 10 groups.
   10 groups of 6
3. Write the missing number. This is the number of groups.
   10

Check. Check: 10 × 6 = 60.

Watch out. Count the groups carefully. Stop when you reach the total.

Method. Count in 11s to find 8 groups of 11. The order of the numbers does not matter.

1. Count in 11s, 8 times. Each count adds one more group of 11.
   11, 22, 33, 44, 55, 66, 77, 88
2. The last number we said is the answer. We counted 8 groups of 11.
   11 × 8 = 88
3. Write the answer. The order of the two numbers does not change the answer.
   88

Check. Check: 8 × 11 is also 88.

Watch out. Learn the 11 times table in order, then say it in any order.

Method. Use the multiplication fact to find the division.

1. Think of the multiplication: 6 × ___ = 24. Division asks how many groups of the number make the total.
   6 × ___ = 24
2. Count in 6s until you reach 24. Count the steps as you go.
   6, 12, 18, 24
3. Write the answer. This is the number of groups.
   4

Check. Check: 4 × 6 = 24.

Watch out. Use the times table fact that matches. Division is the opposite of multiplication.

Method. Count in steps of the known number until you reach the total.

1. Think: how many groups of 7 make 84? Count in steps of the number we know.
   7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84
2. Count the groups. We said 12 numbers, so there are 12 groups.
   12 groups of 7
3. Write the missing number. This is the number of groups.
   12

Check. Check: 12 × 7 = 84.

Watch out. Count the groups carefully. Stop when you reach the total.

Method. Multiply the number of groups by the number in each group.

1. Find the number of bags and the number in each. Multiply the number of equal groups by the size of each group.
   6 bags of 8
2. Work out the multiplication. Use the times table for this number.
   6 × 8 = 48
3. Write the answer. This is the total number of sweets.
   48

Check. Check: 48 ÷ 6 = 8, so each bag has 8.

Watch out. If you are not sure of the fact, count in the times table, one group at a time.

Method. Count in steps of the known number until you reach the total.

1. Think: how many groups of 7 make 42? Count in steps of the number we know.
   7, 14, 21, 28, 35, 42
2. Count the groups. We said 6 numbers, so there are 6 groups.
   6 groups of 7
3. Write the missing number. This is the number of groups.
   6

Check. Check: 6 × 7 = 42.

Watch out. Count the groups carefully. Stop when you reach the total.

Method. Count in 12s to find 7 groups of 12. The order of the numbers does not matter.

1. Count in 12s, 7 times. Each count adds one more group of 12.
   12, 24, 36, 48, 60, 72, 84
2. The last number we said is the answer. We counted 7 groups of 12.
   12 × 7 = 84
3. Write the answer. The order of the two numbers does not change the answer.
   84

Check. Check: 7 × 12 is also 84.

Watch out. Learn the 12 times table in order, then say it in any order.

Method. Write the digit twice. This works for 11 times 1 to 11 times 9.

1. Write the number twice. In the 11 times table, a one-digit answer has the same digit twice.
   7 and 7
2. Read the two digits as one number. Put them side by side.
   77 = 77
3. Write the answer. This is 11 groups of the number.
   77

Check. Check: 77 ÷ 11 = 7.

Watch out. The pattern works for 1 to 9. For 10 to 12, use 10 times the number plus the number.

Method. Count in 7s to find 7 groups of 7. The order of the numbers does not matter.

1. Count in 7s, 7 times. Each count adds one more group of 7.
   7, 14, 21, 28, 35, 42, 49
2. The last number we said is the answer. We counted 7 groups of 7.
   7 × 7 = 49
3. Write the answer. The order of the two numbers does not change the answer.
   49

Check. Check: 7 × 7 is also 49.

Watch out. Learn the 7 times table in order, then say it in any order.

Method. Count in steps of the known number until you reach the total.

1. Think: how many groups of 12 make 84? Count in steps of the number we know.
   12, 24, 36, 48, 60, 72, 84
2. Count the groups. We said 7 numbers, so there are 7 groups.
   7 groups of 12
3. Write the missing number. This is the number of groups.
   7

Check. Check: 7 × 12 = 84.

Watch out. Count the groups carefully. Stop when you reach the total.

Method. Count in steps of the known number until you reach the total.

1. Think: how many groups of 7 make 56? Count in steps of the number we know.
   7, 14, 21, 28, 35, 42, 49, 56
2. Count the groups. We said 8 numbers, so there are 8 groups.
   8 groups of 7
3. Write the missing number. This is the number of groups.
   8

Check. Check: 8 × 7 = 56.

Watch out. Count the groups carefully. Stop when you reach the total.

Method. Count in 9s to find 9 groups of 9. The order of the numbers does not matter.

1. Count in 9s, 9 times. Each count adds one more group of 9.
   9, 18, 27, 36, 45, 54, 63, 72, 81
2. The last number we said is the answer. We counted 9 groups of 9.
   9 × 9 = 81
3. Write the answer. The order of the two numbers does not change the answer.
   81

Check. Check: 9 × 9 is also 81.

Watch out. Learn the 9 times table in order, then say it in any order.

Method. Use the multiplication fact to find the division.

1. Think of the multiplication: 12 × ___ = 108. Division asks how many groups of the number make the total.
   12 × ___ = 108
2. Count in 12s until you reach 108. Count the steps as you go.
   12, 24, 36, 48, 60, 72, 84, 96, 108
3. Write the answer. This is the number of groups.
   9

Check. Check: 9 × 12 = 108.

Watch out. Use the times table fact that matches. Division is the opposite of multiplication.

Method. Count in 6s to find 12 groups of 6. The order of the numbers does not matter.

1. Count in 6s, 12 times. Each count adds one more group of 6.
   6, 12, 18, 24, 30, 36, 42, 48, 54, 60, 66, 72
2. The last number we said is the answer. We counted 12 groups of 6.
   6 × 12 = 72
3. Write the answer. The order of the two numbers does not change the answer.
   72

Check. Check: 12 × 6 is also 72.

Watch out. Learn the 6 times table in order, then say it in any order.

Method. Count in steps of the known number until you reach the total.

1. Think: how many groups of 7 make 77? Count in steps of the number we know.
   7, 14, 21, 28, 35, 42, 49, 56, 63, 70, 77
2. Count the groups. We said 11 numbers, so there are 11 groups.
   11 groups of 7
3. Write the missing number. This is the number of groups.
   11

Check. Check: 11 × 7 = 77.

Watch out. Count the groups carefully. Stop when you reach the total.

Method. Write the digit twice. This works for 11 times 1 to 11 times 9.

1. Write the number twice. In the 11 times table, a one-digit answer has the same digit twice.
   5 and 5
2. Read the two digits as one number. Put them side by side.
   55 = 55
3. Write the answer. This is 11 groups of the number.
   55

Check. Check: 55 ÷ 11 = 5.

Watch out. The pattern works for 1 to 9. For 10 to 12, use 10 times the number plus the number.

Method. Split 12 into 10 and 2, then add the two results.

1. Split 12 into 10 and 2. Multiply each part by the number.
   12 × 6 = 10 × 6 + 2 × 6
2. Work out each part. Both parts are facts we know.
   10 × 6 = 60, and 2 × 6 = 12
3. Add the two parts. The total is the answer.
   60 + 12 = 72
4. Write the answer. This is the answer to 12 times the number.
   72

Check. Check: 72 ÷ 12 = 6.

Watch out. Do not add 12 to the number only once. Work out both parts.

Method. Write the digit twice. This works for 11 times 1 to 11 times 9.

1. Write the number twice. In the 11 times table, a one-digit answer has the same digit twice.
   9 and 9
2. Read the two digits as one number. Put them side by side.
   99 = 99
3. Write the answer. This is 11 groups of the number.
   99

Check. Check: 99 ÷ 11 = 9.

Watch out. The pattern works for 1 to 9. For 10 to 12, use 10 times the number plus the number.

Method. Count in steps of the known number until you reach the total.

1. Think: how many groups of 12 make 48? Count in steps of the number we know.
   12, 24, 36, 48
2. Count the groups. We said 4 numbers, so there are 4 groups.
   4 groups of 12
3. Write the missing number. This is the number of groups.
   4

Check. Check: 4 × 12 = 48.

Watch out. Count the groups carefully. Stop when you reach the total.