Level 3
The figure shows a series of steps built using square cubes. The n number of steps is given by x -step.
  1. How many square cubes were used if n is 5?
  2. How many square cubes were used if n is 40?
  3. Find the number of steps if a total of 144 square cubes are used.
3 m
Level 3
The diagram shows a sequence of patterns formed by square tiles. By considering the pattern information in the table, answer the questions.
  1. Find the number of tiles at the bottom layer in the 29th pattern
  2. Find the total number of tiles in Pattern 50.
3 m
Level 3
Find the sum of all the even numbers from 40 to 242.
3 m
Level 3
Benny formed the following patterns using toothpicks.

If the last pattern formed by Benny had 360 matchsticks, what was the pattern number?
3 m
Level 3
If the pattern of letters continues, what is the 100th letter?
4 m
Level 3
Study the table carefully. In which column (C) and row (R) will the number 353 appear in?
4 m
Level 3
Dennis saved some money on the first week. Each following week, he managed to save $8 more than the week before. He saved a total of $100 after 4 weeks. How much money did he save on the 3rd week?
4 m
Level 3
Some squares are used to make the following pattern. How many squares are there in Pattern 7?
4 m
Level 3
Study the pattern. How many triangles are there in Pattern 9.
4 m
Level 3
The figure are formed with matchsticks. Study the pattern carefully. How many matchsticks are there in Figure 8?
4 m
Level 3
The patterns are formed with identical squares. Study the pattern carefully and answer the questions.
  1. How many squares will there be in Pattern 18?
  2. Which pattern is formed with 134 squares?
4 m
Level 3
Mandy saved $5 in Week 1. She saved $10 in Week 2 and $15 in Week 3. She continued saving in this pattern.
  1. In which week did she save $30?
  2. How much would she save in Week 8?
4 m
Level 3
Karen uses sticks and buttons to form figures that follow a pattern. The first four figures are shown.

  1. The table shows the number of sticks and buttons Karen used to each figure. Complete the table for Figure 5 (i) and (ii). Give your answers in the following format. (Eg 1, 2)
  2. A figure in the pattern has a total of 131 buttons. What is the figure number of that pattern?
  3. How many sticks are there in Figure 16?
4 m
Level 3
The number of people who visited the museum triples every week. A total of 1674 people visited the museum on the 3rd week of the month. How many people visited the museum on the first week of the month?
4 m
Level 3 The table shows the number of sticks used to form each figure.

  1. Complete the table for Figure 5 (a) and (b). Give your answers in the following format. (Eg 1, 2)
  2. Which figure would have a total of 56 dots?
  3. How many sticks would be used for Figure 97?
4 m
Level 3
Jake wrote the number 1 to 40 on a piece of paper. They were arranged in 4 rows, A, B, C and D. The piece of paper was torn and only one part of it was left. Which row was the number 41 in?
4 m
Level 3
Jack received $1 from his mom in the 1st week of school and $4 in the 2nd week. Each week, he receives $3 more than the week before.
  1. How much money did he received in the 5th week?
  2. In which week did he receive $22?
4 m
Level 3
Look at the pattern.
  1. What is the perimeter of Figure 5?
  2. What is the area of Figure 7?
  3. What is the perimeter of Figure 7?
4 m
Level 3
Study the pattern.
Find the pattern number when 55 grey triangles are used.
3 m
Level 3
Paul is building some ladders using straws. How many straws does he need to build the ladder with 8 rungs?
4 m