Level 1
The diagram shows the seating arrangement in an auditorium. The rest of the seats follow the same pattern. How many seats are there in Row 11?
1 m
Level 1 PSLE
Ben used 48 tacks to pin his flashcards side by side onto a board as shown.
How many flashcards did he pin altogether?
2 m
Level 2
The figure shows a pattern formed using some sticks.

  1. How many sticks are needed to form 10 triangles?
  2. How many triangles are formed using 101 sticks?
2 m
Level 2
The sequence of patterns is formed with squares. The first three patterns are shown.
  1. How many squares are needed in pattern 43?
  2. Which pattern number contains 514 squares?
2 m
Level 2 PSLE
A total of 18 balloons are set up at an equal distance apart along the three sides AB, BC and CD of a rectangle stage. The figure shows part of the set-up. The breadth of the stage is 260 cm. What is the length of the stage?
2 m
Level 2 PSLE
In the number line, what is the value represented by A?
2 m
Level 3
Based on the given number sums:
  1. If Row 2, (that is, 4 + 5 + 6 = 7 + 8) is said to have 5 numbers, and Row 3 has 7 numbers, how many numbers does Row 40 have?
  2. Which row has 155 numbers?
3 m
Level 3
By considering the given pattern, write down the number of squares in
  1. Pattern 5
  2. Pattern 30
  3. Pattern 300
3 m
Level 2
Benny swam for 3 days. On each day, he would do 2 more laps than the previous day. He did y number of laps on the first day. What was the total number of laps he did for the 3 days? Give your answer in terms of y.
2 m
Level 3
Each pattern is made up of squares. By considering the pattern, give the number of squares in
  1. Pattern 5
  2. Pattern 20
  3. Pattern 200
3 m
Level 3
The diagram shows the number of tables and the number of chairs around the tables.
  1. Find the number of chairs needed when there are 12 tables.
  2. Find the number of tables if there are 48 chairs
  3. Find the number of chairs needed for 100 tables.
3 m
Level 3
Using dots to form a series of inverted T-shaped patterns, the first three patterns are as shown. Find the number of dots needed to form the following patterns.
  1. Pattern 4
  2. Pattern 50
  3. Pattern 150
3 m
Level 3
The following is a sequence of structures made by joining identical cubes with 1-cm sticks as edges.
  1. How many sticks are needed to make structure 10?
  2. How many sticks are needed to make structure 100?
  3. A structure is made using 252 sticks. Which structure is it?
3 m
Level 3
The figures shows sequence of patterns of an arrangement of dots. '1st column' indicates the number of dots in the first column and the 'Total' indicates the number of dots in each pattern.
  1. Find the number of dots in Figure 9.
  2. Find the number of dots in Figure 20.
  3. If the first column of a figure is made up of 21 dots, find the number of dots that make up the figure.
3 m
Level 3
A rectangle has 6 seats around it (Figure 1). When arranged together, the rectangle has the following number of seats around it.
  1. How many seats are there if 4 rectangles are joined together?
  2. How many seats are there if 20 rectangles are joined together?
  3. Which figure has 362 seats together?
3 m
Level 3
In a school, students were told to design a series of patterns with triangles and squares. Ryan's group came up with the following series of patterns.
  1. How many squares did Ryan's group need to form pattern 20?
  2. How many triangles did Ryan's group need to form a pattern with 41 squares?
3 m
Level 3
Study the pattern.
  1. Complete the table.
  2. How many dots are there on each side of the triangle if the total number of dots on the triangle is 102?
3 m
Level 3 PSLE
Victoria hung some identical oval rings vertically. The thickness of each oval ring was 1 cm. The figure shows how the oval rings are connected.
  1. What was the distance from the top of the 1st oval ring to the bottom of the 3rd oval ring?
  2. The distance from the top of the 1st ring to the bottom of the last ring was 177 cm. How many oval rings did Victoria hang altogether?
3 m
Level 3
The following is a sequence of numbers.
  1. Find the 39th number.
  2. Find the 40th number.
3 m
Level 2
The first three figures of a sequence are shown. The table records the number of shaded and unshaded rhombuses in each figure.
  1. Find the number of unshaded rhombuses in Figure 10?
  2. Find the number of shaded rhombuses in Figure 40?
  3. Which figure number has 804 shaded rhombuses?
3 m