1 P6.PA.NK.21060306
Level 3 PSLE
Fong wanted to build a set of steps with 1-cm cubes. The figures show how he built the steps from a height of 2 cm to 3 cm to 4 cm. If Fong continued building the steps in this way, what would be the height of the set of steps that had 135 cubes? Express your answer in cm.
2 m
Length Times sum of consecutive
2 P4.PA.JM.17092416
Level 2
Matchsticks are used to form each figure. Find out the number of matchsticks needed to form Figure 6.
3 m
Times sum of consecutive W 4 operations
3 P5.PA.JC.21030701
Level 3
Find the sum of 12 + 13 + 23 + 14 + 24 + 34 + 15 + 25 + 35 + 45 + . . . + . . . + 120 + 220 + . . . + . . . + . . . + 1920.
3 m
F Addition & subtraction Times sum of consecutive
4 P6.PA.JM.18011209
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
Times sum of consecutive
5 P5.PA.NK.23053002
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
Equal intervals Times sum of consecutive Guess & check Square Circle
6 P6.PA.JC.21030801
TRY FOR FREE
Level 3
The figure is made up for triangles drawn up to Layer 3.
  1. How many triangles will there be if it is drawn up to Layer 7?
  2. If there is a total of 60 triangles, how many layers are there in the figure?
4 m
Attempt
Times sum of consecutive Triangle
7 P6.PA.JC.17111321
Level 3
Observe the following figures.
  1. Find the number of small triangles in Figure 4.
  2. Find the number of small triangles in Figure 50.
  3. Find the number of sticks in Figure 100.
4 m
Square numbers Times sum of consecutive
8 P6.PA.JC.17111302
Level 3
The diagram shows the first three figures in a sequence of squares with shaded patterns. For each figure, a mathematical pattern is expressed as the following.

Figure 1: 1 + 3 = 4 = 2 x 2 total squares
Figure 2: 1 + 3 + 5 = 9 = 3 x 3 total squares
Figure 3: 1 + 3 + 5 + 7 = 16 = 4 x 4 total squares
  1. How many white squares are there in Figure 6?
  2. How many white squares are there in Figure 10?
  3. Find the sum of 1 + 3 + 5 + 7 + ... + 39.
4 m
Sum of odd consecutive Times sum of consecutive
9 P5.PA.JM.17083161
Level 3
Jake arranged 3 beads and 3 sticks to form Pattern 1. Then he added 3 more beads and 6sticks to form Pattern 2. He continued to form patterns in the same way.
  1. How many beads will he need to form Pattern 7?
  2. How many sticks will he need to form Pattern 5?
5 m
Sum of consecutive Times sum of consecutive
10 P6.PA.JC.17111328
Level 3
Squares of sides 2 cm are arranged to create a pattern as shown.
  1. Find the number of squares needed for Figure 20.
  2. Find the area of Figure 10.
  3. Find the perimeter of Figure 40.
5 m
Equal intervals Sum of consecutive Times sum of consecutive Area Perimeter Square

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