Level 3
The diagrams show a pattern made up of squares.
  1. How many squares are there in Pattern 6?
  2. How many sides are there in Pattern 5?
  3. What is the Pattern Number for 246 sides?
4 m
Level 3
The figure shows a pattern formed using some ice cream sticks.
  1. How many ice-cream sticks are used to form 15 squares?
  2. How many squares can be formed using 106 ice-cream sticks?
4 m
Level 3
Jean had an empty container of capacity 700 cm3 and a 5-cm square base tank filled with water to a height 9 cm. She filled the container with some water until it is 34 full. She then transferred half of the water from the container into the tank. How much water was there in the tank now?
3 m
Level 3
Find the sum of all the odd numbers that are less than 40.
4 m
Level 3
The following pattern is made up of shaded and unshaded squares.
  1. Find the values of (i), (ii) and (iii). Give your answers in the following format. (Eg 1, 2, 3)
  2. Find the number of unshaded squares for Figure 30.
  3. Find the number of shaded squares for Figure 30.
4 m
Level 3
Sally had a piece of wire 8 m long. She cut 8 pieces each measuring 12 m long from the original piece. The remainder was used to form a square. Find the area of the square.
3 m
Level 3
The figure is not drawn to scale. A tank has a square base area of 81 m2. It was filled with water to a height of 2 m. Freda added 18 pails of water and the height of the water level rose to 13 m. Find the volume of each pail. Give your answer in m3.
3 m
Level 3
The figure shows a garden in the school with two ponds beside each other. The koi pond is a square pond with an area of 64 m2 . The area of the rectangular turtle pond is 34 of the area of the koi pond. The length of the grass patch is twice the breadth of the grass patch.
  1. What is the breadth of the turtle pond?
  2. What is length of the grass patch?
3 m
Level 3
The following is made up of identical triangles. Study the pattern carefully.
  1. Complete the table for Figure 4.
  2. A figure number in the pattern has a total of 144 triangles. What is the figure number?
4 m
Level 3
The figure shows a rectangle in a square. The square is of side 15 cm. What is the area of the rectangle?
3 m