These two squares, each with a side length of 20 cm, overlap as shown in the diagram. The shape of the overlap is also a square which has an area of 16 square centimetres. In centimetres, what is the perimeter of the combined shape ?

Six boys looked in the fridge and found this much leftover pizza. They shared the leftover pizza equally. How much of the whole pizza did each boy get ?

Which of the shaded areas below is the largest ?

A map, 40 cm wide and 20 cm high, is folded along the dashed lines indicated to form a 10 cm x 10 cm square so that it just fits in its envelope. It is then pinned to a notice board.

Which one of the following could be the pattern of pinholes on the map ?

Sally thinks of a number, multiplies it by 2, adds 2, divides by 2 and then subtracts 2. Her answer is 2. What was her original number ?

The paint colour “ Roebourne Red” is made by mixing 2 parts yellow, 5 parts red and 1 part black

If a batch of paint was made using 3 litres of yellow, how many litres of paint would being the whole batch ?

A square of paper has its corners folded in as shown to make a smaller square with an internal square, as shown on the right. What is the area of this internal squares ?

Ancient Egyptian matheaticians used fractions but only with a numerator of 1, such as $\frac{1}{2}$ or $\frac{1}{7}$ or $\frac{1}{14}$ . They made other fractions by adding these fractions together. For example, $\frac{3}{4}$  was written as $\frac{1}{2}+\frac{1}{4}$ . Which of the following is an Ancient Egyptian way of writing $\frac{11}{16}$  ?

This symmetrical star is made up of two overlapping equilateral triangles of the same size. The area of the star is 60 square centimetres. What is the area of the shaded region in square centimetres ?

In this correctly worked addition, P, Q, R and S represent different digits, and all seven digits are different. What is the sum of P, Q, R and S ?

In a competition between four people, Sally scored twice as many points as Brian and 30 points more than Corrie. Donna scored 50 points more than Brian. Which of the following statements is definitely true ?

A plane was travelling at an altitude of 4500 metres for 20 minutes. It then climed at a rate of 500 metres per minute for 5 minutes before descending at 350 metres per minute for 8 minutes. Which of the following graphs best describes the altitude of the plane over this time ?

Mrs Graham wants to fill her swimming pool for the summer. She knows that if she uses the backyard hose it will take 12 hours, or if she uses the frontyard hose it will take 4 hours. How long will it take if she uses both hoses together ?

Four soccer teams played each other four times in a season of competition. Each winning team was awarded 3 points. Teams that had a draw were awarded 1 point each, and losing teams were awarded no points. The season ended with Kangaroos on 21 points, Kookaburras on 17 points, Koalas on  16 points and Crocodiles on 12 points. How many games ended in a draw ?

Five different whole numbers, chosen from the numbers from 1 to 30, add up to 30. What is the greatest possible value of the largest of these numbers ?