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Maths game

Balance Scale

An equation is a balance: both sides weigh the same. Find the number in the mystery bag and watch the scale level out.

Ages 5–1610 questions per roundRead aloudAdapts as you play

What it teaches

  • Missing-number sums (? + 3 = 7)
  • Doing the same to both sides
  • Solving one-step and two-step equations

How to play

  1. Step 1: Look at what is on each pan.

  2. Step 2: Choose the number in the mystery bag.

  3. Step 3: A wrong number tips the scale. Try again with the hint.

Levels

Start where it feels easy. Inside each level the questions get harder or easier as you play.

  1. Level 1 · Ages 5–6Missing numbers to 10Count onPlay level 1
  2. Level 2 · Ages 6–8Missing numbers to 20Numbers on both sidesPlay level 2
  3. Level 3 · Ages 8–10Bigger numbersBalloons take awayPlay level 3
  4. Level 4 · Ages 10–12MultiplyEquations like 3x = 18Play level 4
  5. Level 5 · Ages 12–16EquationsTwo steps, x on both sidesPlay level 5

Try a question

Level 2

What number makes the scale balance?

?617
Show the answer

Answer: 11

Check: both sides weigh 17 when the bag is 11.

Take 6 away from both sides: 17 − 6.

Level 4

What number makes the scale balance?

xxxx36
Show the answer

Answer: x = 9

Check: both sides weigh 36 when the bag is 9.

4 bags weigh 36 together. Share 36 into 4 equal parts.

The strategy behind it

Each level links to a short lesson that shows the trick step by step.

Practise on paper

Printable worksheets on the same topic, with answer keys.

Algebra

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