1 P6.PA.JC.170617003
Level 2
Find the sum of all the whole numbers from 1 to 242.
2 m
Sum of consecutive
2 P6.PA.JC.17050701
Level 2
How many different handshakes can be made in a group of 21 students, assuming that each student shakes hand with every other student only once?
2 m
Sum of consecutive
3 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
4 P6.PA.JC.18090201
Level 3
In a table-tennis competition, every player plays against every other player twice. Every player plays the same number of games. There are a total of 56 games played. How many players are there?
3 m
Sum of consecutive
5 P6.PA.JC.170617001
Level 3
Find the sum of all the whole numbers from 40 to 242.
3 m
Sum of consecutive
6 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
7 P6.PA.JM.18011210
Level 3
Study the pattern.
Find the pattern number when 55 grey triangles are used.
3 m
Sum of consecutive Guess & check
8 P6.PA.JM.18011222
Level 3
Look at the pattern.
  1. Find the total number of squares in Pattern 4.
  2. How many shaded squares will there be in Pattern number 15?
4 m
Sum of consecutive
9 P6.PA.JC.21031601
TRY FOR FREE
Level 3
The diagram shows toothpicks used to arrange the following patterns. The rest of the figures follow the same pattern.

Figure 1 uses 4 toothpicks.
Figure 2 uses 10 toothpicks.
Figure 3 uses 18 toothpicks.

  1. How many squares are in Figure 10?
  2. How many toothpicks are used to make Figure 59?
4 m
Attempt
Repeated patterns Sum of consecutive
10 P6.PA.JM.18011221
Level 3
The graph shows 3 figures formed by shaded and white triangles.
  1. Complete the column for Figure 5. Give your answers for (i) and (ii) in numbers. (Eg 1, 2)
  2. What is the total number of triangles in Figure 16?
  3. How many shaded triangles are there in Figure 40?
4 m
Square numbers Sum of consecutive
11 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
12 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
13 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
14 P6.PA.JC.17111324
Level 3
By considering the diagrams and the pattern developed in the table, answer the following questions.
  1. If there are 5 kids, find the number of handshakes.
  2. If there are 50 kids, find the number of handshakes.
  3. If there are 190 handshakes, how many kids are there?
4 m
Sum of consecutive Guess & check
15 P6.PA.JM.18011232
Level 3
The equilateral triangles are formed using 2 cm-sticks.
  1. How many sticks are needed to form pattern 5?
  2. In which pattern will each side of the triangle measure 32 cm?
  3. Calculate the number of shaded triangles in Pattern 100.
5 m
Sum of consecutive Area perimeter Length Triangle
16 P6.PA.JM.18011234
Level 3
1-cm square tiles and triangular tiles were used to make some figures. The area of each triangular tile was half that of a square tile. The first four figures are shown.
  1. Find the area of Figure 5.
  2. How many squares were used to make a figure with an area of 180.5 cm2?
5 m
Repeated patterns Square numbers Sum of consecutive Area perimeter Square Triangle
17 P6.PA.JC.17111327
Level 3
The three diagrams show the highest number of intersections obtained from 2, 3 and 4 lines respectively.
  1. What is the highest number of segments for 10 straight lines?
  2. What is the maximum number of intersections obtained from 30 straight lines?
  3. What is the maximum number of regions obtained by using 40 straight lines?
5 m
Square numbers Sum of consecutive
18 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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