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Hidden Multiplication

Months Of Saving times-table story

A playful story page showing how months of saving can teach multiplication in real life.

Quick answer

Saving money over months is a great way to learn multiplication – you're counting equal groups of money over time!

Learning outcome

By the end of this page, you will understand how saving money each month can help you learn multiplication using equal groups, and you'll be able to solve multiplication problems using months of saving. Success signs:
  • You can count equal groups of money saved each month
  • You can solve multiplication problems using months of saving
  • You can explain how saving money helps you learn multiplication
  • You can use arrays or drawings to show your saving problems

Why this matters

Saving money each month is a real-life way to learn multiplication. When you save the same amount every month, you're making equal groups – a key idea in multiplication. This helps you understand how many things you'll have if you keep adding the same amount. You can use this skill to work out how much money you'll save in a year, how many toys you can buy, or how many cakes you can make.

How it works

Multiplication is about equal groups. When you save the same amount each month, you're making equal groups of money. For example:
  • If you save £3 every month, you have 3 groups of £3
  • After 4 months, you have 4 groups of £3, which is 4 × 3 = £12
You can use this idea to solve problems about saving money over time. You can count by groups, draw arrays, or use number lines to help you multiply.

Examples you can see

Let’s imagine a fun story about saving money for a toy. Sarah’s Toy Dream Sarah wants to buy a toy that costs £10. She saves £2 every month.
  • Month 1: She saves £2 (1 group of £2)
  • Month 2: She saves £2 (2 groups of £2)
  • Month 3: She saves £2 (3 groups of £2)
  • Month 4: She saves £2 (4 groups of £2)
How much has she saved in total? 4 groups of £2 = 4 × 2 = £8 Let’s try another example: Tommy’s Bike Tommy wants a bike that costs £40. He saves £5 every month.
  • Month 1: £5 (1 group of £5)
  • Month 2: £5 (2 groups of £5)
  • Month 3: £5 (3 groups of £5)
  • Month 4: £5 (4 groups of £5)
  • Month 5: £5 (5 groups of £5)
  • Month 6: £5 (6 groups of £5)
How much has he saved? 6 groups of £5 = 6 × 5 = £30 Now let’s use a table to show how this works:
Month Amount Saved Total Saved
1 £5 £5
2 £5 £10
3 £5 £15
4 £5 £20
5 £5 £25
6 £5 £30

Try it as a mini adventure

Adventure: The Savings Challenge You are going on a trip to the toy shop and want to save money for a special toy. Your toy costs £24. You decide to save £3 each month. How many months will it take you to save enough? Step-by-step challenge:
  • Month 1: £3 saved (1 group of £3)
  • Month 2: £3 saved (2 groups of £3)
  • Month 3: £3 saved (3 groups of £3)
  • Month 4: £3 saved (4 groups of £3)
  • Month 5: £3 saved (5 groups of £3)
  • Month 6: £3 saved (6 groups of £3)
  • Month 7: £3 saved (7 groups of £3)
  • Month 8: £3 saved (8 groups of £3)
After 8 months, you have 8 groups of £3 = 8 × 3 = £24 You saved enough for your toy!

Common mistakes

  • Mistake: Thinking that saving £4 each month for 5 months means 4 + 5 = £9
    Why it happens: Mixing up addition and multiplication
    Fix: Remember, multiplication is about equal groups. So 5 groups of £4 = 5 × 4 = £20
  • Mistake: Counting the months wrong
    Why it happens: Confusing which month is the first one
    Fix: Use a chart or count on your fingers to keep track
  • Mistake: Not knowing how to solve 0 × 3
    Why it happens: Thinking you can't multiply by zero
    Fix: 0 groups of £3 = 0 × 3 = £0

Parent and carer guide

Parents and carers can help by:
  • Creating a savings chart together to show how much money is saved each month
  • Using real coins or notes to show equal groups
  • Asking questions like, "How much would you have saved after 6 months if you save £2 each month?"
  • Encouraging children to draw arrays or use counters to show their thinking
  • Practicing skip counting by the amount saved each month
This helps children understand that saving money is a fun way to practice multiplication, and it also teaches them about planning, patience, and goals.

Practice questions

  1. If you save £3 each month for 4 months, how much do you have in total?
  2. How much money would you save if you save £5 each month for 6 months?
  3. How many months will it take to save £15 if you save £3 each month?
  4. If you save £2 every month, how much do you have after 10 months?
  5. How much would you have saved after 7 months if you save £4 each month?
Answers:
  1. 4 × 3 = £12
  2. 6 × 5 = £30
  3. 15 ÷ 3 = 5 months
  4. 10 × 2 = £20
  5. 7 × 4 = £28

FAQ

How can saving money help me learn multiplication?

Saving money each month means you are making equal groups. If you save £3 every month, you're making 3s. After 4 months, you have 4 groups of £3, which is 4 × 3 = £12.

What if I save a different amount each month?

Then you're not making equal groups, so it's not multiplication. But you can still add the amounts together to find the total.

Can I use this to plan for a big purchase?

Yes! If you know how much you want to save and how much you save each month, you can use multiplication to find out how many months you'll need.

What if I save £0 each month?

Then you have 0 groups of any amount, so 0 × any number = 0. You save nothing.

How can I practice this at home?

Use a piggy bank or savings jar. Each week, put in the same amount of money. Draw arrays or count how many times you've saved to practice multiplication.