Level 3
The first four figures of a pattern as shown.

The table shows the number of dots and the number of non-overlapping triangles for each figure.
  1. Find the values of (i) and (ii). Give your answers in the following format. (Eg 1, 2)
  2. What is the number of dots in Figure 10?
  3. In which Figure number will there be 106 dots?
4 m
Level 3
During a rehearsal, 25 pupils were standing in a line at equal distances. The distance between the first and the fourth pupil was 2.7 m. What was the distance between the first and the last pupil?
3 m
Level 3
James formed some figures using squares and circles as shown
  1. Find the number of squares in Figure 6.
  2. Find the total number of circles and squares in Figure 10.
  3. A figure in the pattern has a total of 6481 circles and squares. What is the Figure Number?
4 m
Level 3
The first four figures of a pattern as shown.

The table shows the number of circles and squares used in each figure.
  1. Find the values of (i) and (ii). Give your answers in the following format. (Eg 1, 2)
  2. How many circles are there in Figure 39?
  3. How many squares are there in Figure 60?
4 m
Level 2
The figures show 3 different fruits, a pineapple, a bunch of bananas and 2 similar mangoes. The mass of a mango is 23 of the mass of the bunch of bananas.
  1. Find the mass of the bunch of bananas.
  2. Find the mass of the pineapple.
4 m
Level 3
Some beads were used to create the figures .
  1. How many beads were used to create Figure 9?
  2. A pattern is formed with 481 beads. Which figure would it be?
5 m
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
Some poles are placed along the perimeter of a rectangular court measuring 15 m by 12 m. The poles are placed equally apart. If the distance between each pole is 3 m, find the total number of poles used.
3 m