11 P6.PA.JM.18011220
Level 3
May added a certain number of white squares round a grey square and then a certain number of grey squares round the white squares and she continued adding more grey and white squares round the diagram in each pattern as shown.
  1. How many grey squares did she need if the most outer layer had 11 squares on each side?
  2. How many squares are there in the Figure 11?
4 m
Square numbers
12 P6.PA.JC.17111323
Level 3
A pattern is made by putting shaded squares of unit length around a white square of similar unit length. He then continues to make patterns as shown in Figure 2 and Figure 3.
  1. Which figure uses 100 white squares?
  2. Find the number of shaded squares in Figure 30.
  3. Find the total number of squares in Figure 60.
4 m
Equal intervals Square numbers
13 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
14 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
15 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
16 P6.PA.JC.19091410
Level 3 PSLE
Study the pattern.
  1. Find the total number of white and grey triangles in Figure 100.
  2. Find the percentage of grey triangles in Figure 100. (Give the answer in decimals.)
4 m
Equal intervals Repeated pattern Square numbers Percent of a set
17 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
18 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
19 P6.PA.NK.21060305
Level 3 PSLE
Yasmin uses stars and circles to form figures that follow a pattern as shown.
  1. The table shows the number of stars and circles for the first four figures. Complete the table for Figure 5. List the answers in the following order using commas. (Eg i, ii, iii)
  2. A figure in the pattern has a total of 121 stars and circles. What is the figure number?
  3. Another figure in the pattern has 50 more stars than circles. What is the total number of stars and circles in the figure?
5 m
Square numbers More than or less than
20 P6.PA.JC.17111325
Level 3
A series of patterns of shaded and unshaded small triangles is shown.
  1. Which pattern has 141 shaded triangles?
  2. Find the number of unshaded triangles in Pattern 40.
  3. Find the total number of triangles in Pattern 90.
5 m
Equal intervals Square numbers

5 per page

10 per page

20 per page

Symbols

x2
x3
₵
$
⊥
//
∠
°
π
%
:
\[ \]
STUDENT
Navigations
Contact Us
Members
Links