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
In a room with a certain number of people, each person shook hands with the rest of the people only once. The total number of handshakes is 78. How many people are there in the room?
3 m
Level 3
Study the pattern. It shows the seating arrangement at a conference. Seat 8 is in column D. The seating arrangement continues on in the same manner. Find the column for
  1. Seat 90
  2. Seat 116
3 m
Level 3
Find the values of A and B.
  1. A
  2. B
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
The pattern shows how some candles are arranged. How many candles are there in Figure 10?
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
Study the pattern. Find the values of A and B.
  1. A
  2. B
3 m
Level 3
The figure shows the first 3 triangular patterns which are formed with circles. How many circles are needed to form the 7th triangular pattern?
3 m
Level 3
What is the difference in the number of squares and triangles in Pattern 45?
3 m