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Year 4 Relationship between the 3 and 6 times tables and tests of divisibility worksheet

“Using the 3 and 6 tables” is free to print, with no account. It is the first sheet in the Year 4 maths unit “Relationship between the 3 and 6 times tables and tests of divisibility”, for children aged 8 to 9, 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. Week 11 of the year, 5 sheets in the unit.

Free sample · answers on the last page

Using the 3 and 6 tables

Name: ____________ · Date: ____________
Year 4 · Maths · about 20 minutes
Answers are on the grown-up page

Today I can use my 3 and 6 times tables to solve word problems.

A Look back3 min

  1. 1.

    3 × 4 =

  2. 2.

    5 × 10 =

  3. 3.

    7 × 2 =

B Watch me, then you4 min

Ola packs 5 boxes. Each box holds 6 buns. How many buns are there altogether?

Watch me

Think of each box as two groups of 3 buns. Five groups of 3 is 5 × 3 = 15.

Each box holds two groups of 3, so double 15.

Double 15 is 30, so 5 × 6 = 30.

Now you
  1. 1.

    Mia has 4 bags with 6 pencils in each bag. How many pencils altogether?

C Your turn6 min

Each row changes one thing. Watch what happens to the answer.

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  1. 1.

    2 tricycles each have 3 wheels. How many wheels altogether?

  2. 2.

    4 tricycles each have 3 wheels. How many wheels altogether?

  3. 3.

    4 bags each have 6 cakes. How many cakes altogether?

  4. 4.

    9 bags each have 6 cakes. How many cakes altogether?

Say it out loud: Look at the second and third rows. What happened to the answer when 3 became 6?

D Spot the mistake3 min

Ali says: “4 bags with 6 apples each makes 10 apples, because 4 + 6 is 10.”
  1. 1.

    How many apples are really in 4 bags of 6?

E Think deeper4 min

  1. 1.

    List every number from 1 to 40 that is in the 6 times table. Then say how the 3 times table helped you.

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StudyDen · Year 4 · Maths · Relationship between the 3 and 6 times tables and tests of divisibilityAnswers are on the grown-up page

For the grown-up

Using the 3 and 6 tables · 2 minutes to read

Answers, and what a wrong one tells you

A

1. 12

2. 50

3. 14

B

1. 24 If your child writes 12, they used only the 3 times table. Double 12 to get 24, since each 6 fact is twice a 3 fact.

C

1. 6

2. 12 If your child writes 7, they added 4 and 3. Count the 4 groups of 3 instead, one group at a time.

3. 24 If your child writes 12, they used only the 3 times table. Double 12 to get 24, since each 6 fact is twice a 3 fact.

4. 54

D

1. 24 If your child writes 10, they added 4 and 6, like Ali. There are 4 groups of 6 apples, so multiply: 4 × 6 = 24.

E

1. 6, 12, 18, 24, 30, 36. The 3 times table gives 3, 6, 9, 12 and so on, and each 6 fact is double a 3 fact. If your child leaves out 6 or 36, check each number by counting in 6s from 6. Then notice each one is double a 3 times table number.

Words to use

Say“Which words in this question tell you to multiply?”
Instead of“Just tell them the answer, or work it out for them.”

After the sheet

Make 4 piles of 3 buttons, then 4 piles of 6 buttons. Check the second total is double the first.

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

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

  1. Doubling three to find six(with a plan)
  2. Doubling and halving tables(with a plan)
  3. Digit sums and multiples(with a plan)
  4. Two tests for six(with a plan)

Every Year 4 maths worksheet

The worksheets plan opens a printable sheet for every lesson in Years 1 to 6, each with its answers on a separate page for you. It costs £6.99 a month or £59 a year for the whole family, with no free trial.

The full StudyDen plan adds the lessons themselves, marked as your child works, with the worksheets included. It is 7 days free, then £29.99 a month.

Both start with a free account; you choose the plan when you sign up.