11 P6.PA.JM.18011214
Level 3
Study the number pattern.
What is the number in the 100th position?
4 m
Sets Repeated patterns
12 P6.PA.JM.18011217
Level 3
The numbers are written in five columns to make a pattern.
  1. Find A in terms of k.
  2. Find B in terms of k.
  3. Find C in terms of k.
  4. Express k in terms of n.
4 m
Repeated patterns
13 P6.PA.NK.21060301
Level 3 PSLE
Zane uses toothpicks to form figures that follow a pattern. The first four figures are shown.
  1. The table shows the number of toothpicks used for each figure. Complete the table for Figure 5 and Figure 6. Give your answers in numbers. (Eg 1, 2)
  2. What is the difference in the number of toothpicks Zane would use for Figure 11 and Figure 13?
  3. How many toothpicks would he use for Figure 50?
4 m
Odd & even Equal intervals Repeated patterns
14 P6.PA.JC.17111320
Level 3
At Richard's soap factory, a special soap bar 'Johnny's Bricks' is made by daily adding 1 cm3 soap bars around the previous day's region of soap bars.
  1. Find the number of 1-cm3 soap bars added on Day 5.
  2. Find the total number of soap bars on Day 9.
  3. Find the total number of soap bars on Day 30.
4 m
Repeated patterns Square numbers
15 P6.PA.JC.17111322
Level 3
The diagram shows the first four of a sequence of figures.
Figure 1 is made up of just 1 square.
Figure 2 is made up of one 2 x 2 and four 1 x 1 squares, so it has a total of 1 + 4 = 5 squares.
Figure 3 contains one 3 x 3 and some 2 x 2 squares and nine 1 x 1 squares.
The sequence continues as shown in Figure 4 and so on.
  1. How many squares are there in Figure 7?
  2. How many total number of squares will be there in sequence 7?
4 m
Repeated patterns Square numbers
16 P6.PA.JC.17111319
Level 3
Consider the following sequence:
  1. Find the sum of 2 + 6 + 10 + 14 + ... + 30.
  2. A given line of the sequence is as follows: 2 + 6 + 10 + 14 + ... + a = 648 = 2 x b2. Find the value of b.
  3. Calculate the sum of Line 40 if the pattern for the sum of the lines is as follows:- Line 1: 8 Line 2: 8 + 10 Line 3: 8 + 10 + 12
4 m
Equal intervals Repeated patterns Square numbers
17 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
18 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
19 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
20 P6.PA.JM.18011229
Level 3 PSLE
Andy used 3-cm rods to build some structures. The first five structures are shown.

The table shows the number of rods used for each structure and the height of each structure.

  1. Find the value of a.
  2. Find the value of b.
  3. What was the height of Structure 119?
  4. How many rods were used to build Structure 119?
5 m
Odd & even Equal intervals Repeated patterns Length

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