Multiplication•Grade 5•Mixed Review

Grade 5 Multiplication Mixed Review

Grade 5 multiplication mixed review sheet: 30 problems on three-digit by two-digit multiplication, two-digit by two-digit multiplication, multiplying by powers of ten, four-digit by one-digit multiplication.

CCSSAligned to Common Core 5.NBT.5: Fluently multiply multi-digit whole numbers using the standard algorithm.

Download

Three different problem sets — same skill, same layout, fresh numbers.

Preview — Set A

Solve each problem. Read carefully — the problems change shape as you go.

  1. 1.
    8994 × 5 =
  2. 2.
    796 × 91 =
  3. 3.
    99 × 66 =
  4. 4.
    57 × 10^2 =
  5. 5.
    4646 × 4 =
  6. 6.
    740 × 91 =
  7. 7.
    86 × 72 =
  8. 8.
    22 × 10^2 =
  9. 9.
    2846 × 8 =
  10. 10.
    486 × 48 =
  11. 11.
    94 × 30 =
  12. 12.
    40 × 10^1 =
  13. 13.
    7004 × 3 =
  14. 14.
    384 × 27 =
  15. 15.
    70 × 29 =
  16. 16.
    75 × 10^1 =
  17. 17.
    9599 × 9 =
  18. 18.
    498 × 26 =
  19. 19.
    46 × 13 =
  20. 20.
    92 × 10^1 =
  21. 21.
    7712 × 3 =
  22. 22.
    673 × 81 =
  23. 23.
    35 × 45 =
  24. 24.
    33 × 10^1 =
  25. 25.
    3909 × 7 =
  26. 26.
    595 × 67 =
  27. 27.
    63 × 99 =
  28. 28.
    48 × 10^3 =
  29. 29.
    1758 × 3 =
  30. 30.
    892 × 45 =

Other ways to solve this

Using 8,994 × 5 from this sheet (Set A, problem 1). Each method below reaches the same answer, 44,970, by a different route; pick the one that makes the most sense to you.

Partial products

Helps you see every piece of a long multiplication before adding them up.

8,994
× 5
205 × 4
4505 × 90
4,5005 × 900
40,0005 × 8,000
44,970
  1. Step 1Split 8,994 into 8,000 + 900 + 90 + 4 and 5 into 5.

  2. Step 2Multiply each part of 5 by each part of 8,994, starting with the ones.

    • 5 × 4 = 20
    • 5 × 90 = 450
    • 5 × 900 = 4,500
    • 5 × 8,000 = 40,000
  3. Step 3Add the partial products: 20 + 450 + 4,500 + 40,000 = 44,970.

  4. Step 4So 8,994 × 5 = 44,970.

Step 1 of 4

Lattice method

Helps keep carrying tidy: every digit product gets its own box, and you only add at the end.

Lattice for 8,994 × 5A 4 by 1 lattice with 8994 across the top and 5 down the right side. Each box holds a digit product split by a diagonal, and the diagonal sums are written down the left side and along the bottom.899454045452044970
  1. Step 1Write 8,994 across the top and 5 down the right side, one digit per box.

  2. Step 2Multiply each pair of digits. Put the tens above the diagonal and the ones below it.

    • 5 × 8 = 40 → tens 4, ones 0
    • 5 × 9 = 45 → tens 4, ones 5
    • 5 × 9 = 45 → tens 4, ones 5
    • 5 × 4 = 20 → tens 2, ones 0
  3. Step 3Add along each diagonal, starting at the bottom right. Carry when a sum is 10 or more.

    • Diagonal 1 (from the bottom right): 0 = 0
    • Diagonal 2 (from the bottom right): 7 = 7
    • Diagonal 3 (from the bottom right): 9 = 9
    • Diagonal 4 (from the bottom right): 4 = 4
    • Diagonal 5 (from the bottom right): 4 = 4
  4. Step 4Read the digits down the left side and along the bottom: 4 4 9 7 0. So 8,994 × 5 = 44,970.

Step 1 of 4

Doubling and halving

Helps when you can halve and double quickly: the only hard step is one addition at the end.

Halving the left column and doubling the right. Rows with an even left value are crossed out.
HalveDoubleKeep?
58,994keep
217,988cross out
135,976keep
  1. Step 1Put the smaller number, 5, in the left column and 8,994 in the right column.

  2. Step 2Halve the left number (drop any remainder) and double the right number, row by row, until the left reaches 1.

    • 5 | 8,994
    • 2 | 17,988
    • 1 | 35,976
  3. Step 3Cross out every row with an even number on the left.

    • Cross out 2 | 17,988
  4. Step 4Add the right column of the rows that are left: 8,994 + 35,976 = 44,970.

  5. Step 5So 8,994 × 5 = 44,970.

Step 1 of 5

What this worksheet covers

Set A of this grade 5 mixed review sheet holds 30 multiplication problems on one printable page, with the answer key on the page behind it. Within that, the expressions carry exponents, so the order of operations decides the answer and the numbers run as high as 9,599. Two problems from the middle of the page — "94 × 30" and "7712 × 3" — show the range. The sheet sits inside Common Core 5.NBT.5, in the grade 5 Number & Operations in Base Ten strand.

Skills practiced

At grade 5, multiplication is about three-digit by two-digit multiplication and multiplying by powers of ten, and this sheet takes one slice of that. The skills on the page: three-digit by two-digit multiplication, two-digit by two-digit multiplication, and multiplying by powers of ten. Concretely, the sheet tests whether a student can apply the order of operations to powers.

About the mixed review format

The 30 problems are deliberately assorted — problem 11, "94 × 30" is followed by something of another shape — so the student has to read each one rather than run the last method again. Mixing facts, multiples of ten and larger products on one page keeps a student choosing a method instead of repeating one.

Set A, Set B and Set C

The three sets come from the same generator with three different seeds: same skill, same layout, fresh numbers, and an answer key computed with the problems. Where Set A's problem 16 is "75 × 10^1", Set B's is "8593 × 5".

How to use this worksheet

By grade 5 a student should take all 30 multiplication problems in one sitting. If the page takes more than about fifteen minutes, the underlying facts are probably not automatic yet, and that is worth fixing before more multiplication practice piles on. Ask the student to re-work one missed multiplication problem from scratch on Set B rather than correcting it in place; the second attempt shows whether the method changed.

One mistake to watch for

Zeros are lost when multiplying by multiples of ten: 6 × 40 is answered 24 instead of 240. On this grade 5 mixed review, problem 15 ("70 × 29") is the kind of item where it shows.

The fact 6 × 4 is recalled and the ten is forgotten.

Rewrite 6 × 40 as 6 × 4 × 10 for a few days so the ten is a visible factor rather than a decoration.

The full guide to teaching multiplicationTeaching multiplication from equal groups to integer exponents: the grade 2–8 progression, times-table strategies, and the errors that stall students.

Other grade 5 multiplication formats

The same skill in the other formats available at this grade.

A step either side

The same format one grade down and one grade up — the easier sheet is often the faster fix when this one is not landing.

Mixed Review sheets in other grade 5 topics

Free to download, print and photocopy for a whole class: three mixed review sheets of grade 5 multiplication, 30 problems each, keys included.

This site uses Google Analytics. See our Privacy Policy.