Year 6 Multiplying and dividing by 2-digit numbers worksheet

“Partial products step by step” is free to print, with no account. It is the first sheet in the Year 6 maths unit “Multiplying and dividing by 2-digit numbers”, for children aged 10 to 11, and takes about 20 minutes.

Print it on A4. The child's pages come first; the answers, and what each wrong answer tells you, are on the grown-up page that follows. Weeks 16 to 18 of the year, 15 sheets in the unit.

Free sample · answers on the last page

Partial products step by step

Name: ____________ · Date: ____________
Year 6 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can explain how to multiply a 3-digit number by a 2-digit number.

A Look back3 min

1.
46 × 10 =
2.
7 × 8 =
3.
2,405 2,450

B Watch me, then you4 min

Work out 215 × 13. Split 13 into 10 and 3 first.

Watch me

215 × 10 = 2,150

215 × 3 = 645

2,150 + 645 = 2,795

Now you

1.
312 × 12 = . Split 12 into 10 and 2 first.

C Your turn6 min

Split the 2-digit number into tens and ones, work out both partial products, then add them.

1.
265 × 11 =
2.
265 × 12 =
3.
265 × 13 =
4.
265 × 21 =

Say it out loud: What stayed the same in every row, and what changed?

D Spot the mistake2 min

Ben says: “234 × 21 is 4680, because 234 × 20 is 4680.”

1.
What is 234 × 21?

E Think deeper3 min

1.
Which two-digit numbers n make 312 × n land between 3,000 and 4,000? Write every one.

How did it feel?

I can do it Nearly Not yet

For the grown-up

Partial products step by step · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 460

2. 56

3. <

B

1. 3744 If your child splits 12 into 1 and 2, the total is 936. Split by place value instead: 10 and 2, so 312 × 10 and 312 × 2.

C

1. 2915

2. 3180

3. 3445

4. 5565 If your child writes 5300, they have worked out only 265 × 20 and forgotten 265 × 1. Add 265 to 5300 to recombine and get 5565.

D

1. 4914 If your child writes 4680, they made Ben's mistake and left out 234 × 1. Add 234 to 4,680 to get 4,914.

E

1. 10, 11 and 12 If your child includes 13, split 13 into 10 and 3: 3120 + 936 = 4056. That is over 4000, so 13 is out.

Words to use

Say“Split the smaller number into tens and ones first, then add the two partial products.”

Instead of“Use the calculator, or tell them to just multiply the big numbers in one go.”

After the sheet

Put 13 cups in two groups, 10 and 3, with 4 dried pasta pieces in each cup. Count the pasta in each group, then add the two totals: 40 + 12 = 52.

Tick what your child got right in StudyDen. Anything missed comes back in a later Look back box, so there's no need to redo the sheet.

The rest of this unit

14 more sheets come with a StudyDen plan, in teaching order:

Remember the regrouped tens(with a plan)
Long multiplication with carrying(with a plan)
Long multiplication, 3 by 2 digits(with a plan)
Four-digit long multiplication(with a plan)
Splitting a factor to multiply(with a plan)
Factorise or long multiply?(with a plan)
Divide both by ten(with a plan)
Short and long division(with a plan)
Long division by 2-digit numbers(with a plan)
Factors and long division(with a plan)
Remainders that fit(with a plan)
Remainders as fractions(with a plan)
Remainders as decimals(with a plan)
What the remainder means(with a plan)

Every Year 6 maths worksheet

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