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Topmarks Maths

Where is division by 2 hiding in Topmarks Hit the Button halves?

Connect halving with sharing equally and inverse facts.

Quick answer

Division by 2, or halving, is hidden in Topmarks Hit the Button halves because it's about splitting numbers into two equal groups. When you see a number like 10, halving it means sharing 10 objects between 2 people or finding how many are in each group when 10 is split into 2 equal parts. It's the same as dividing by 2.

Learning outcome

By the end of this page, you will understand how halving a number is the same as dividing it by 2, and you will be able to find halves of numbers up to 20. You will be able to:
  • Split a number into two equal groups
  • Find the answer when you divide a number by 2
  • Use the inverse relationship between multiplication and division to check your answers
  • Recognise when you are halving a number in everyday life

Why this matters

Halving numbers is important because it helps you share things fairly. Whether you're splitting a pizza between two friends, sharing 12 sweets between two people, or working out how many items go in each half of a group, halving is used everywhere. In maths, halving is the same as dividing by 2, which is a key skill that helps you solve bigger problems later on. It also helps you understand how multiplication and division are linked.

How it works

To halve a number, you split it into two equal parts. This is the same as dividing it by 2. Step-by-step:
  1. Think of a number you want to halve
  2. Split that number into 2 equal groups
  3. Count how many are in each group
  4. That number is the answer to your halving problem
You can also think of halving as:
  • Dividing by 2
  • Sharing equally between 2 people or groups
  • Using the inverse of multiplication (if 2 × 5 = 10, then 10 ÷ 2 = 5)

Examples you can see

Here are some examples of halving numbers: Halving Numbers
Number Halved (÷ 2) Equal Groups
2 1 2 objects split into 2 groups = 1 in each
4 2 4 objects split into 2 groups = 2 in each
6 3 6 objects split into 2 groups = 3 in each
8 4 8 objects split into 2 groups = 4 in each
10 5 10 objects split into 2 groups = 5 in each
12 6 12 objects split into 2 groups = 6 in each
14 7 14 objects split into 2 groups = 7 in each
16 8 16 objects split into 2 groups = 8 in each
18 9 18 objects split into 2 groups = 9 in each
20 10 20 objects split into 2 groups = 10 in each

Try it as a mini adventure

Adventure: The Sharing Safari You are going on a safari and find a pile of 18 bananas. You want to share them equally with your friend. How many bananas does each of you get?
  1. Start with 18 bananas
  2. Split them into 2 equal groups
  3. Count how many are in each group
Answer: Each person gets 9 bananas. You can also use this method with any even number of items. Try it with 10, 14, or 20 bananas.

Common mistakes

  • Mistake: Thinking 17 ÷ 2 = 8.5 or 8 remainder 1
    Why it happens: Not knowing that 17 is an odd number, so it can't be split into two equal whole groups
    Fix: Remember that halving an odd number means you can't split it into two equal whole numbers, but you can still find half of it using decimals or remainders
  • Mistake: Forgetting that halving means dividing by 2
    Why it happens: Confusing halving with other operations like subtracting or multiplying
    Fix: Use the fact that halving is the same as dividing by 2, and check with multiplication: if 10 ÷ 2 = 5, then 5 × 2 = 10
  • Mistake: Counting incorrectly when splitting objects
    Why it happens: Rushing or not being careful with counting
    Fix: Count each group twice to make sure they are equal

Parent and carer guide

Parents and carers can help children understand halving by:
  • Using everyday objects like fruits, sweets, or toys to show how to split them into 2 equal groups
  • Practising with the Topmarks Hit the Button halves game
  • Encouraging children to explain how they split numbers
  • Reinforcing that halving means dividing by 2
  • Using the inverse relationship: if 6 × 2 = 12, then 12 ÷ 2 = 6
What to say:
  • "Can you show me how to split 10 sweets between you and your brother?"
  • "What is half of 16? Let's count together."
  • "If we have 14 cookies and split them between 2 people, how many does each person get?"
What not to worry about:
  • Children may make small mistakes with counting – that's normal
  • Odd numbers don't always split evenly – that's okay
  • Some children may need more time to understand the concept – be patient

Practice questions

  1. What is 10 ÷ 2?
  2. How many is half of 16?
  3. If you have 18 marbles and split them between 2 people, how many does each person get?
  4. What is 20 ÷ 2?
  5. What is half of 14?
Answers:
  1. 5
  2. 8
  3. 9
  4. 10
  5. 7

FAQ

What does halving mean?

Halving means splitting a number into two equal parts. It's the same as dividing by 2.

Why is halving important?

Halving helps you share things fairly, like splitting a pizza or dividing sweets between friends. It's also the foundation for more advanced division and multiplication skills.

How can I practice halving at home?

You can use objects like counters, coins, or toys. Try splitting them into 2 equal groups and count how many are in each group.

What happens when you halve an odd number?

When you halve an odd number, you can't split it into two equal whole numbers. You might get a decimal or a remainder, like 17 ÷ 2 = 8.5 or 8 remainder 1.

How does halving connect to multiplication?

Halving is the opposite of doubling. If 5 × 2 = 10, then 10 ÷ 2 = 5. This is called an inverse relationship.