Level 2
A repeated number pattern is formed using the digits 1, 2, 3 and 4. The first 13 digits are shown. What is the sum of the first 87 digits?
2 m
Level 1
Find the following values without a calculator.

Convert the following to fractions.
  1. 0.3 = _____
  2. 1.07 = _____
  3. 8.25 = _____
  4. 9.375 = _____
2 m
Level 3
If Adam buys 2 marbles and 3 beads, it costs $31.60
If Adam buys 3 marbles and 2 beads, he will need another $2.30.
  1. Find the cost of 1 marble and 1 bead.
  2. Find the cost of 1 marble.
  3. Find the cost of 1 bead.
3 m
Level 3
A typist can type 60 words per minute. For every 120 words, 4 words are typed wrongly. At this rate, how many words are typed correctly in 6 minutes?
2 m
Level 2
Water is leaking from a tank measuring 125 cm by 84 cm by 110 cm at a rate of 3.5 ℓ per minute. After 5 hours, the tank is empty. What was the depth of water in the tank at first?
2 m
Level 2
Manny designed a logo using three ovals. The areas of the ovals were in the ratio of 1 : 4 : 13. He then shaded some parts of the logo as shown. What was the ratio of the shaded area to the unshaded area of the logo?
2 m
Level 1
Find the following values without a calculator.

Simplify the following ratios.
  1. 4 : 8
  2. 2 : 6
  3. 12 : 22
  4. 10 : 35
4 m
Level 2
A rectangular tank measures 30 cm by 20 cm by 10 cm. Water from a tap flows into the tank at 500 mℓ per minute. How long will it take to fill half of the tank? Express your answer in minutes.
2 m
Level 1
Find the following values without a calculator.

Simplify the following ratios.
  1. 1 : 3 = _____ : 9
  2. _____ : 4 = 12 : 16
  3. 1 : _____ = 5 : 25
  4. 2 : _____ : 12 = 10 : 25 : 60
2 m
Level 1
The average height of the 4 girls is 155 cm.
What is their total height?
1 m