1 P6.PA.JC.17010105
Level 2 PSLE
A roll of ribbon is made up of white, grey and black segments. Each segment is 1 cm long. The segments follow a repeated colour pattern as shown. A piece of ribbon 80 cm long is cut from the roll. In that piece, how many white segments are there?
2 m
Sets Repeated patterns Length
2 P6.PA.JM.18011206
Level 2
Colin arranged the letters as shown.

ABCDAABBCCDDAAABBBCCCDDDAAAABBBBCCCCDDDD ...
1st

Identify the 230th letter.
2 m
Sets Repeated patterns
3 P6.PA.JC.17042001
Level 2 PSLE
A table with 4 columns is filled with numbers in a certain pattern. The first 4 rows of the table are shown. In which column will the number 362 appear?
2 m
Sets Division with remainder Repeated patterns
4 P6.PA.JC.21030401
Level 2
13 x 24 x 35 x 46 x ... ... x 9799 x 98100 = ______
2 m
Fraction of a set F Multiplication Repeated patterns
5 P6.PA.NK.21060304
Level 3 PSLE
A roll of tape has smileys and hearts printed in a repeated pattern. Barbara cuts a piece of tape from the roll. In that piece, there are 129 smileys. Find the possible numbers of hearts on that piece of tape. Give your answer(s) in ascending order.
2 m
Sets Repeated patterns
6 P6.PA.JM.18011212
Level 3
The figure shows a 5-sided figure with diagonal lines drawn within it.
  1. Complete the table.
  2. Find the number of diagonals of a figure with 15 sides.
3 m
Repeated patterns Sum of conseutive
7 P6.PA.JC.17111306
Level 3
The patterns show a sequence of shapes. Each shape has a number of small right-angled triangles. A dot is placed at each point where there is a vertex of one or more right-angled triangles. The total number of dots and the number of small right-angled triangles of each figure is shown in a table.
  1. Find the total number of dots required to form Pattern 4.
  2. Find the total number of dots required to form Pattern 20.
  3. Find the number of small right-angled triangles in Pattern 50.
3 m
Repeated patterns Square numbers
8 P6.PA.JC.17111305
Level 3
Some patterns of shaded and unshaded small triangles is given. The unshaded triangles are those which have at least one side on the edge of the big triangle. All of the other small triangles are shaded. The table below shows numbers of small triangles.
  1. Find the total number of triangles in Pattern 80.
  2. Find the number of shaded triangles in Pattern 40.
  3. Find the number of unshaded triangles in Pattern 50.
3 m
Repeated patterns Square numbers
9 P6.PA.JC.17111317
Level 3
The diagram shows the number of blocks in the pattern.
  1. How many blocks will Pattern 4 have?
  2. How many blocks will Pattern 20 have?
  3. Which pattern has 211 blocks?
3 m
Repeated patterns Guess & check
10 P6.PA.JC.17111318
Level 3
The diagram shows the pattern for the number of circles.
  1. How many circles will Pattern 4 contain?
  2. How many circles will Pattern 30 contain?
  3. Which pattern contains 421 circles?
3 m
Repeated patterns Square numbers Guess & check
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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