21 P4.PA.NK.22121201
Level 3
Study the pattern. Each figure is made up of identical blocks.
  1. How many blocks are used to form Figure 4?
  2. How many more blocks are used to form Figure 6 than Figure 3?
4 m
Sum of consecutive More than or less than
22 P3.PA.JM.17110124
Level 3
During a gathering, 5 people shook hands only once with each other. How many times did they shake hands?
4 m
Sum of consecutive W Addition & subtraction
23 P3.PA.JM.17110109
Level 3
How many circles are there in pattern 8?
4 m
Sum of consecutive W 4 operations
24 P3.PA.JM.17110110
Level 3
The figures are made up of squares. Study the patterns carefully. How many squares would Figure 7 have?
4 m
Sum of consecutive W 4 operations
25 P5.PA.NK.23053003
Level 3
The following is made up of identical triangles. Study the pattern carefully.
  1. Complete the table for Figure 4.
  2. A figure number in the pattern has a total of 144 triangles. What is the figure number?
4 m
Square Numbers Sum of consecutive Triangle
26 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
27 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
28 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
29 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
30 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
31 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
32 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
33 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
34 P5.PA.NK.23053001
Level 3
The diagram shows a sequence of patterns formed by identical triangles. Find the values of (i), (ii) and (ii). Give your answers in the following format. (Eg 1, 2, 3)
  1. A figure in the pattern has a total of 169 triangles. What is the Figure Number?
  2. Another figure has 50 more shaded triangles than unshaded triangles. What is the total number of triangles in this figure?
5 m
Sum of consecutive Square Numbers Triangle
35 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
36 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
37 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
38 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
39 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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