301 P5.PA.JM.17083142
Level 3
Study the pattern carefully.
  1. How many shaded squares are there in Pattern 4?
  2. How many squares are there altogether in Pattern 7?
  3. In which pattern will you find 37 shaded squares?
5 m
Equal intervals Square numbers
302 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
303 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
304 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
305 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
306 P6.PA.JC.17111329
Level 3
A T-shaped block consists of 4 squares of 1 cm2 each and the perimeter is 10 cm. Study the pattern with 1 block arranged to form 2 blocks and 3 blocks respectively.
  1. Find the perimeter of the pattern that consists of 20 blocks.
  2. If a pattern has a perimeter of 106 cm, find the number of squares that makes up the pattern.
5 m
Equal intervals Area Perimeter Square
307 P6.PA.JM.18011235
Level 3
Each of the figure is made up of 2-cm sticks. The table shows the total length of sticks used for each figure and the perimeter of each figure.
  1. Complete the table for Figure 4 (i).
  2. Complete the table for Figure 4 (ii).
  3. Which figure number will have a perimeter of 2604 cm?
5 m
Equal intervals Area Perimeter
308 P6.PA.JM.18011216
Level 3
Study the patterns.
  1. Find the total number of triangles in Figure 30.
  2. Express the biggest triangle as a percentage of the total possible number of triangles in Figure 30. Correct your answer to 2 decimal places.
5 m
Equal intervals D Place values D Round off Finding percent
309 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
310 P6.PA.JM.18011231
Level 3
The figure is made of identical triangles.
  1. Complete the table for layers 5 and 10.
  2. If each small triangle has a height of 4 cm and a perpendicular base of 3 cm. Find the area of all the triangles at the 29th layer.
5 m
Repeated patterns Area Perimeter Triangle

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