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Multiplication Facts: Working from what you know

(Using known facts to derive new facts)

You will probably know a lot of the answers to these questions without using the multiplication facts on the sheet. However you must show how you can use the information on the sheet to reach the answer to each question.

Section A

Use the multiplication facts given to work out the answer to the questions. Remember to record your working.

  1. 3 ´ 2 = 6. 4 ´ 2 = 8.
    2.

    What is 7 ´ 2 ?

  2. 2 x 8 = 16. 3 ´ 8 = 24.
    3.

    What is 5 ´ 8 ?

  3. 4 x 7 = 28.
    4.

    What is 8 x 7 ?

  4. 3 x 5 = 15.
    5.

    What is 6 ´ 5 ?

  5. 3 x 8 = 24.
    6.

    What is 9 ´ 8 ?

  6. 4 ´ 6 = 24
    7.

    What is 6 ´ 8 ?

  7. 2 ´ 9 = 18.
    8.

What is 8 ´ 9 ?

Section B

Use the multiplication facts given to work out the answer to the questions. Remember to record your working.

  1. 2 ´ 4 = 8.
    2.

    What is 4 ´ 4 ? What is 8 ´ 4 ?

  2. 10 ´ 6 = 60

    3. What is 9 ´ 6 ? What is 5 ´ 6 ?

  3. 8 ´ 5 = 40
    4.

    What is 16 ´ 5 ? What is 17 ´ 5?

  4. 4 ´ 9 = 36
    5.

    What is 8 ´ 9 ? What is 6 ´ 9 ? What is 14 ´ 9 ?

  5. 6 ´ 6 = 36.
    6.

What is 12 ´ 6 ? What is 18 ´ 6 ?

Section C

Build up the answers to each question using the multiplication facts given only. You’re not allowed to use any other multiplication knowledge!

  1. 10 ´ 5 = 50, 2 ´ 5 = 10
    2.

    What is 12 ´ 5 ? What is 22 ´ 5 ? What is 8 ´ 5 ?

  2. 10 ´ 6 = 60, 4 ´ 6 = 24
    3.

    What is 14 ´ 6 ? What is 6 ´ 6 ? What is 96 ´ 6 ?

  3. 5 ´ 7 = 35, 2 ´ 7 = 14
    4.

What is 7 ´ 7 ? What is 3 ´ 7 ? What is 47 ´ 7 ?

Section D

How could you work out the answers to each of these questions if you couldn’t recall the answer? Show how you could work out the answer from a known multiplication fact.

  1. 4 ´ 7
  2. 8 ´ 8
  3. 9 ´ 7
  4. 5 ´ 5
  5. 7 ´ 8

Can you think of any other ways that you could do each question?

Section E

Construct the answers to these ‘large’ multiplication questions by using the facts that you know.

  1. 22 ´ 3
  2. 17 ´ 4
  3. 25 ´ 5
  4. 37 ´ 6
  5. 29 ´ 8

Extension Activity

Take a pack of digit cards. Remove the 0 and deal out the cards so you have…

[ ] [ ] ´ [ ]

Use the multiplication facts that you know to find the answer to the question you have made.

Can you rearrange the three cards to produce a bigger answer? What is the biggest answer that you can make with the three cards that you’ve drawn?

Try it again with another three cards.