Level 3
The table shows how much Evelyn saves daily. For each subsequent day, she saves $5 more than the previous day.
  1. How much will Evelyn save on Day 6?
  2. On which day will Evelyn save $80?
  3. How much savings will Evelyn have in total by the day found in part (b)?
4 m
Level 3
Study the pattern carefully and answer the questions.
  1. What is the total number of dots and triangles in Figure 8 ?
  2. Which figure will have 63 dots?
  3. Which figure will have 200 triangles?
4 m
Level 3
Look at the figures. The rectangles represent tables and the dots represent chairs for guests at a party.
  1. How many tables will Figure 4 have?
  2. How many chairs will Figure 7 have?
  3. If there are 50 guests at the party, how many tables will be needed?
4 m
Level 3
The pattern is made up of squares and circles. Study the pattern carefully and answer the questions.
  1. How many squares are needed to form pattern 87?
  2. How many circles are needed to form pattern 6?
  3. How many circles are there in pattern 48?
4 m
Level 3
The figures are formed using sticks and dots. The table shows the number of sticks and dots used for each figure.
  1. Find (i).
  2. Find (ii).
  3. Which figure would need a total of 103 sticks and dots?
4 m
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
The patterns are made up of squares.
  1. How many squares are there in Pattern 10?
  2. Which pattern is made up of 43 squares?
4 m
Level 3
Study the table and answer the questions that follow.
  1. Find (i).
  2. Find (ii).
  3. Which row will have a sum of 1024?
4 m
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
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
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 is a structure made up of 2 cm cubes. What is the volume of the total number of cubes up to the 10th step?
4 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 3
Study the pattern. The figures are made up of black squares.
  1. How many black squares will there be in Figure 4?
  2. How many black squares will there be in Figure 10?
  3. Which figure is made up of 396 black squares?
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
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