Patterns in addition and multiplication tables · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Patterns in Times Tables

Mathematics · Multiplication & Division · ages 8-9
Name ______________________   Date ____________

  1. Which of these sums is even?

    • 9 + 14
    • 8 + 14
    • 7 + 14
    • 8 + 15

  2. Which number could be in the 5 times table?

    • 35
    • 34
    • 36
    • 37

  3. Look at these multiples of 5: 5, 10, 15, 20, 25. What do you notice about the last digit of each number?

    510152025
    • It's always 0 or 5
    • It's always even
    • It goes up by 1 each time

  4. In the multiplication table, 6 x 3 and 3 x 6 give the same answer. What property explains this?

    • It's just a coincidence
    • Commutative property
    • The distributive property

  5. Zac says 12 + 18 is odd because the answers keep getting bigger. Is Zac right?

    Circle one:   True   False

  6. You can find 6 x 8 by breaking it into (6 x 5) + (6 x 3). What property lets you do this?

    • Commutative property
    • Distributive property
    • Associative property

  7. Why do all multiples of 10 end in 0?

    • Ten is a fraction
    • Zero means the number is nothing
    • Each multiple adds another full ten, and tens have no ones
    • Tens are odd numbers

  8. The 4 times table goes 4, 8, 12, 16. What comes next?

    Answer: ______________

  9. Leo says 4 x 6 and 6 x 4 give different answers because the order changed. Is Leo right?

    • Yes, order always matters in multiplication
    • Only if the numbers are large
    • No, they both equal 24

  10. Priya says every product in the 5 times table ends in 0 or 5. Is Priya right?

    Circle one:   True   False

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Patterns in Times Tables W1-mt_w6MxaaoMXZ-s1

  1. 8 + 14 · 8 + 14 = 22 is even. The rest give 21, 23 and 23, which are odd.
  2. 35 · 35 is right because products of 5 end in 0 or 5, and 7 x 5 = 35.
  3. It's always 0 or 5 · Every multiple of 5 ends in 0 or 5 because adding 5 keeps flipping the last digit between those two.
  4. Commutative property · The commutative property says you can swap the order of the numbers you multiply and still get the same answer.
  5. False · Zac is wrong: 12 + 18 = 30, which is even. Even + even is always even.
  6. Distributive property · The distributive property lets you split a number into parts, multiply each part, then add the results back together.
  7. Each multiple adds another full ten, and tens have no ones · Each multiple adds another full ten, and tens have no ones is the real reason.
  8. 20 · Adding one more 4 gives 16 + 4 = 20.
  9. No, they both equal 24 · Multiplication is commutative, so swapping the order never changes the answer. 4 x 6 = 6 x 4 = 24.
  10. True · Priya is right: fives build from 5s and 10s, so only 0 or 5 can land in the ones place.
Worksheet · LightMySky