Dividing by two-digit numbers · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Dividing by two-digit numbers

Mathematics · Multiplication & Division · ages 10-11
Name ______________________   Date ____________

  1. What is 840 divided by 12?

    • 70
    • 7
    • 700
    • 72

  2. In short division, the first digit of the number you're dividing is smaller than the divisor. What do you do?

    • Join it to the next digit
    • Skip that digit completely
    • Divide by 10 instead

  3. Short division only works when the divisor is a single digit.

    Circle one:   True   False

  4. Short division works best when you can quickly find multiples of the divisor. Which of these divisors would most children find quickest to work with?

    • 37
    • 11
    • 83

  5. Why is short division a good pick for 960 divided by 12?

    • 12 is small enough to hold the carries in your head
    • 12 has two digits
    • 960 is large
    • Division always needs a short layout

  6. Dev divides 5,000 by 25. Which layout fits best?

    • Short division, since 25 is a small two-digit divisor
    • Long division with full partial products
    • Chunking hundreds only
    • No written method at all

  7. Work out 3,648 divided by 16 using short division.

    Answer: ______________

  8. Work out 2,736 divided by 18.

    Answer: ______________

  9. A charity splits 4,250 kg of rice equally into 16 sacks. Maria works out 265 remainder 10 and writes each sack's weight as 265.10 kg. What mistake did she make?

    • She forgot to divide at all
    • The whole number part should be 266
    • She wrote the remainder as hundredths instead of dividing it by 16

  10. Use short division to work out 5,376 ÷ 24.

    Answer: ______________

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Answer key

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

Dividing by two-digit numbers W1-mt_FvEq4heNBx-s1

  1. 70 · 12 x 70 = 840.
  2. Join it to the next digit · You bring the next digit down to make a bigger number, then divide that instead.
  3. False · Short division works for two-digit divisors too. You use the exact same steps, just with a bigger number to divide by.
  4. 11 · Numbers like 11 have simple, familiar multiples, so short division stays fast. Less familiar numbers like 37 or 83 are harder to track in your head.
  5. 12 is small enough to hold the carries in your head · Short division fits when the divisor is small enough for mental carries.
  6. Short division, since 25 is a small two-digit divisor · 25 is small enough for short carries, so short division fits; a three-digit divisor would need long division.
  7. 228 · 16 x 228 = 3648.
  8. 152 · 18 x 152 = 2736.
  9. She wrote the remainder as hundredths instead of dividing it by 16 · The remainder 10 means 10 out of 16, and 10 ÷ 16 = 0.625. The exact weight is 265.625 kg, not 265.10 kg.
  10. 224 · 24 × 224 = 5,376, so the division comes out exact with no remainder.
Worksheet · LightMySky