71 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
72 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
73 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
74 P6.PA.JM.18011223
Level 3
Study the image. Find the missing number.
4 m
Equal intervals Sum of odd consecutive Sum of even consecutive
75 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
76 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
77 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
78 P6.PA.JM.18011228
Level 3
The table shows the day of the week that 1st January falls on from year 1981 to 2000. Note that Day 1 of the week is a Monday and Day 7 is a Sunday. There are 31 days in the month of January.
  1. What number does letter C represent?
  2. What number does letter F represent?
  3. Which day of the week will 1st February 2012 fall on?
4 m
Sets Repeated patterns Systematic listing
79 P6.PA.JM.18011207
Level 3
The series of figures are made of cubes. Study the diagram and answer the following questions.
  1. How many cubes will there be in Figure 6?
  2. Which figure will have 120 cubes?
4 m
Repeated patterns Guess & check
80 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

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