# Problem solving activities

## Fractional Magic Squares

- Problem solving activities
- Number and Algebra
- Level Four

Use addition with fractions;

Know the idea of, and be able to construct, magic squares.

Devise and use problem solving strategies to explore situations mathematically (be systematic).

## Create A Question

- Problem solving activities
- Number and Algebra
- Level Four

Use their mathematical knowledge to invent problems

Solve other students' problems.

## Go Negative

- Problem solving activities
- Number and Algebra
- Level Four

Perform calculations with negative fractions.

Devise and use problem solving strategies mathematically. This problem uses be systematic and draw a picture strategy.

## The Clumsy Tiler B

- Problem solving activities
- Number and Algebra
- Level Four

Handle smaller and smaller fractions.

Devise and use problem solving strategies to explore situations mathematically (make a drawing, use equipment).

## Eights

- Problem solving activities
- Number and Algebra
- Level Four

Multiply large numbers by 8

Find and describe patterns in numbers

## Fuel Saving

- Problem solving activities
- Number and Algebra
- Level Four

Find a percentage of a quantity

Devise and use problem solving strategies (be systematic, work logically)

## Free Cell

- Problem solving activities
- Number and Algebra
- Level Four

Solve problems involving fractions and percentages

Devise and use problem solving strategies (guess and check, be systematic, look for a pattern, make a table)

## How High?

- Problem solving activities
- Number and Algebra
- Level Four

Explain a meaning of a million

Make sensible estimates of numbers using powers of 10 up to a million.

Multiply and divide with numbers up to a million (using a calculator)

## Tennis and golf players

- Problem solving activities
- Number and Algebra
- Level Four

Find a percentage of a given quantity

Use Venn diagrams to represent intersecting sets.

Devise and use problem solving strategies (draw a diagram)

## Triangle sums

- Problem solving activities
- Number and Algebra
- Level Three

Think logically about the sums of single digit numbers

Devise and use problem solving strategies (guess, and check work systematically)