Multiplication•Grade 5•Drill

Grade 5 Multiplication Drill

Grade 5 multiplication drill sheet: 30 problems on three-digit by two-digit multiplication.

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

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

Preview — Set A

Solve each problem. Show your work in the space provided.

1.
499 × 54 =
2.
295 × 98 =
3.
603 × 64 =
4.
910 × 14 =
5.
140 × 63 =
6.
164 × 26 =
7.
711 × 88 =
8.
238 × 79 =
9.
271 × 39 =
10.
467 × 32 =
11.
988 × 37 =
12.
353 × 30 =
13.
710 × 69 =
14.
124 × 22 =
15.
220 × 51 =
16.
531 × 49 =
17.
312 × 85 =
18.
587 × 63 =
19.
324 × 66 =
20.
420 × 38 =
21.
643 × 19 =
22.
873 × 36 =
23.
261 × 92 =
24.
633 × 23 =
25.
719 × 19 =
26.
382 × 88 =
27.
463 × 54 =
28.
535 × 26 =
29.
867 × 67 =
30.
663 × 79 =

Other ways to solve this

Using 499 × 54 from this sheet (Set A, problem 1). Each method below reaches the same answer, 26,946, 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.

499

× 54

364 × 9

3604 × 90

1,6004 × 400

45050 × 9

4,50050 × 90

20,00050 × 400

26,946

Step 1Split 499 into 400 + 90 + 9 and 54 into 50 + 4.
Step 2Multiply each part of 54 by each part of 499, starting with the ones.
- 4 × 9 = 36
- 4 × 90 = 360
- 4 × 400 = 1,600
- 50 × 9 = 450
- 50 × 90 = 4,500
- 50 × 400 = 20,000
Step 3Add the partial products: 36 + 360 + 1,600 + 450 + 4,500 + 20,000 = 26,946.
Step 4So 499 × 54 = 26,946.

Step 1 of 4

Lattice method

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

Step 1Write 499 across the top and 54 down the right side, one digit per box.
Step 2Multiply each pair of digits. Put the tens above the diagonal and the ones below it.
- 5 × 4 = 20 → tens 2, ones 0
- 5 × 9 = 45 → tens 4, ones 5
- 5 × 9 = 45 → tens 4, ones 5
- 4 × 4 = 16 → tens 1, ones 6
- 4 × 9 = 36 → tens 3, ones 6
- 4 × 9 = 36 → tens 3, ones 6
Step 3Add along each diagonal, starting at the bottom right. Carry when a sum is 10 or more.
- Diagonal 1 (from the bottom right): 6 = 6
- Diagonal 2 (from the bottom right): 14 = 14: write 4, carry 1
- Diagonal 3 (from the bottom right): 18 + carry 1 = 19: write 9, carry 1
- Diagonal 4 (from the bottom right): 5 + carry 1 = 6
- Diagonal 5 (from the bottom right): 2 = 2
Step 4Read the digits down the left side and along the bottom: 2 6 9 4 6. So 499 × 54 = 26,946.

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.
Halve	Double	Keep?
54	499	cross out
27	998	keep
13	1,996	keep
6	3,992	cross out
3	7,984	keep
1	15,968	keep

Step 1Put the smaller number, 54, in the left column and 499 in the right column.
Step 2Halve the left number (drop any remainder) and double the right number, row by row, until the left reaches 1.
- 54 | 499
- 27 | 998
- 13 | 1,996
- 6 | 3,992
- 3 | 7,984
- 1 | 15,968
Step 3Cross out every row with an even number on the left.
- Cross out 54 | 499
- Cross out 6 | 3,992
Step 4Add the right column of the rows that are left: 998 + 1,996 + 7,984 + 15,968 = 26,946.
Step 5So 499 × 54 = 26,946.

Step 1 of 5

What this worksheet covers

This is a 30-problem drill for grade 5 multiplication, printed in black and white with the key on page two. What makes this set particular: the numbers run as high as 988. Problems 11 and 21, for instance, are "988 × 37" and "643 × 19". The sheet sits inside Common Core 5.NBT.5, in the grade 5 Number & Operations in Base Ten strand.

Skills practiced

The grade 5 multiplication sequence covers three-digit by two-digit multiplication and multiplying by powers of ten; this page sits inside it. The skill on the page: three-digit by two-digit multiplication. Concretely, the sheet tests whether a student can recall the multiplication facts quickly and accurately, without counting up to them.

About the drill format

A drill is straight practice: 30 problems of the same kind, laid out across the page with working space under each — problem 11, "988 × 37" is typical of the whole page. 30 untimed products let a student practice the algorithm while accuracy, not speed, is the target.

Set A, Set B and Set C

All three sets are produced by the site's deterministic generator from a fixed seed, so they are the same every time the site is built and the answer keys are exact. Where Set A's problem 16 is "531 × 49", Set B's is "361 × 84".

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. Keep the key face down until all 30 problems are finished, then go through the misses together rather than only totaling the score.

One mistake to watch for

The carried digit in long multiplication is added before multiplying instead of after. Problem 26 on this grade 5 drill page, "382 × 88", is where to look for it.

The order of the two steps in each column has not been made explicit.

Say the two steps aloud for a few problems: multiply first, then add what was carried.

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.