Level 3
The following is a sequence of numbers.

1. Find the 39^th number.
2. Find the 40^th number.

Level 3
Tina used stars and sticks to make the following patterns.

1. How many stars are there in Pattern 5?
2. If Tina counted 289 stars, which pattern number had she made?
3. How many stars are there in Pattern 120?

Level 3
Consider the pattern.

1. What is the sum of Row 9?
2. What is the sum of Row 50?
3. If the sum is 2702, what is the row number?

Level 2
The first three figures of a sequence are shown. The table records the number of shaded and unshaded rhombuses in each figure.

1. Find the number of unshaded rhombuses in Figure 10?
2. Find the number of shaded rhombuses in Figure 40?
3. Which figure number has 804 shaded rhombuses?

Level 3
The figure shows a tank made up of 3 sections. Cuboid A with a square base of side 4 cm and height 30 cm. Cube B with a side of 12 cm. Cuboid C that is 60 cm by 20 cm by 40 cm. Water from a tap above flows down at a rate of 1.2 litres per minute while water is drained out from the bottom at a rate of 1 litre per minute. How long did it take to fill up the tank to a height of 66 cm from the base? Give the answer in minutes correct to nearest whole number.