Classes 7 and 8 bring algebra, negative numbers used freely, powers and roots, and percentages applied to profit, loss and interest. Mental arithmetic still matters, because algebra is arithmetic with letters and a slow or shaky calculator makes every equation harder.
The games here practise solving equations, converting among fractions, decimals and percentages, recalling squares and cubes, and flexible thinking with numbers. They also make good warm-ups before homework.
What to look for at this age
- Equations as a balance. Doing the same thing to both sides, and checking the answer by putting it back.
- Signs. Adding, subtracting and multiplying with negative numbers without hesitation.
- Squares to 20 and cubes to 10 by heart.
- Percentages as fractions. 25% as a quarter, 12.5% as an eighth. For formulas of area and volume, see our neighbour site Shapes.
Beyond practice
Older children gain most from the open games. In Hit the Target and Magic Square there is more than one way forward, and trying, failing and trying again is the lesson. Ask for a second solution, or ask the child to set a puzzle for you. Explaining a method to someone else is the best test of understanding there is.
Other stages
Maths Games