Level 3
Collin was training for a swimming competition. On Day 1 of his training, he swam 600 m. On Day 2, he swam 0.1 km more than Day 1. For each subsequent training session, he swam a distance of 0.1 km more than the previous training session.
  1. On Day 5 of his training session, how far did he swim? Give your answer in km.
  2. On which day did he swim a distance of 3 km?
5 m
Level 3
The average rainfall for the months of January to May was 155 mm. Each month from January to May, the rainfall was 1 mm more than the month before it. What was the rainfall in January?
3 m
Level 3
Study the pattern carefully.
  1. How many shaded squares are there in Pattern 4?
  2. How many squares are there altogether in Pattern 7?
  3. In which pattern will you find 37 shaded squares?
5 m
Level 3
A T-shaped block consists of 4 squares of 1 cm2 each and the perimeter is 10 cm. Study the pattern with 1 block arranged to form 2 blocks and 3 blocks respectively.
  1. Find the perimeter of the pattern that consists of 20 blocks.
  2. If a pattern has a perimeter of 106 cm, find the number of squares that makes up the pattern.
5 m
Level 3
Each of the figure is made up of 2-cm sticks. The table shows the total length of sticks used for each figure and the perimeter of each figure.
  1. Complete the table for Figure 4 (i).
  2. Complete the table for Figure 4 (ii).
  3. Which figure number will have a perimeter of 2604 cm?
5 m
Level 3
Study the patterns.
  1. Find the total number of triangles in Figure 30.
  2. Express the biggest triangle as a percentage of the total possible number of triangles in Figure 30. Correct your answer to 2 decimal places.
5 m
Level 3 PSLE
Andy used 3-cm rods to build some structures. The first five structures are shown.

The table shows the number of rods used for each structure and the height of each structure.

  1. Find the value of a.
  2. Find the value of b.
  3. What was the height of Structure 119?
  4. How many rods were used to build Structure 119?
5 m
Level 3
Check out the pattern.
  1. What is the sum of the two numbers in Row 100?
  2. What are the two numbers in Row 99? (Eg 1, 2)
  3. Under which column A, B, C or D, will the number 586 appear?
5 m
Level 3
A series of patterns of shaded and unshaded small triangles is shown.
  1. Which pattern has 141 shaded triangles?
  2. Find the number of unshaded triangles in Pattern 40.
  3. Find the total number of triangles in Pattern 90.
5 m
Level 3
Haoming made patterns using squares and sticks and recorded the pattern in the table shown.
  1. How many squares are needed for Figure 20?
  2. How many sticks are needed for Figure 20?
  3. Which figure needs a total of 115 sticks?
5 m