Balance scales and equations
Name: _____________________ Date: __________
Show your thinking with numbers, words, or a drawing.
1. The scale balances. Each small cube has a mass of 1 kg. What is the mass of the box, in kilograms?
2. The scale balances. Each small cube has a mass of 1 kg. What is the mass of the box, in kilograms?
3. The scale balances. Each small cube has a mass of 1 kg. What is the mass of the box, in kilograms?
4. The scale balances. Each small cube has a mass of 1 kg. What is the mass of the box, in kilograms?
5. The scale balances. Each small cube has a mass of 1 kg. What is the mass of the box, in kilograms?
Answer key · Balance scales and equations
1. 6
Take 3 cubes off each side, so the scale still balances.
Now the box is on its own and the right side has 9 − 3 = 6 cubes.
The box has a mass of 6 kg.
2. 8
Take 4 cubes off each side, so the scale still balances.
Now the box is on its own and the right side has 12 − 4 = 8 cubes.
The box has a mass of 8 kg.
3. 8
Take 3 cubes off each side, so the scale still balances.
Now the box is on its own and the right side has 11 − 3 = 8 cubes.
The box has a mass of 8 kg.
4. 5
Take 6 cubes off each side, so the scale still balances.
Now the box is on its own and the right side has 11 − 6 = 5 cubes.
The box has a mass of 5 kg.
5. 2
Take 2 cubes off each side, so the scale still balances.
Now the box is on its own and the right side has 4 − 2 = 2 cubes.
The box has a mass of 2 kg.
Try it together
Choose a question from the printable. Use objects or a drawing to show your thinking, then explain your method to someone at home.