Level 3
Find the missing numbers.
  1. A
  2. B
  3. C
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Level 2
Study the pattern. What is the missing number?
1620, 1740, 1860,              , 2100
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Level 3
How many squares will be needed for the next shape?
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Level 3
Based on the given number sums:
  1. If Row 2, (that is, 4 + 5 + 6 = 7 + 8) is said to have 5 numbers, and Row 3 has 7 numbers, how many numbers does Row 40 have?
  2. Which row has 155 numbers?
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Level 3
By considering the given pattern, write down the number of squares in
  1. Pattern 5
  2. Pattern 30
  3. Pattern 300
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Level 3
Each pattern is made up of squares. By considering the pattern, give the number of squares in
  1. Pattern 5
  2. Pattern 20
  3. Pattern 200
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Level 3
The diagram shows the number of tables and the number of chairs around the tables.
  1. Find the number of chairs needed when there are 12 tables.
  2. Find the number of tables if there are 48 chairs
  3. Find the number of chairs needed for 100 tables.
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Level 3
Using dots to form a series of inverted T-shaped patterns, the first three patterns are as shown. Find the number of dots needed to form the following patterns.
  1. Pattern 4
  2. Pattern 50
  3. Pattern 150
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Level 3
The following is a sequence of structures made by joining identical cubes with 1-cm sticks as edges.
  1. How many sticks are needed to make structure 10?
  2. How many sticks are needed to make structure 100?
  3. A structure is made using 252 sticks. Which structure is it?
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Level 3
The figures shows sequence of patterns of an arrangement of dots. '1st column' indicates the number of dots in the first column and the 'Total' indicates the number of dots in each pattern.
  1. Find the number of dots in Figure 9.
  2. Find the number of dots in Figure 20.
  3. If the first column of a figure is made up of 21 dots, find the number of dots that make up the figure.
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Level 3
A rectangle has 6 seats around it (Figure 1). When arranged together, the rectangle has the following number of seats around it.
  1. How many seats are there if 4 rectangles are joined together?
  2. How many seats are there if 20 rectangles are joined together?
  3. Which figure has 362 seats together?
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Level 3
Study the number pattern.
A ,  B ,  137,  157,  177, C

Find the values of (a) A
(b) B
(c) C
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Level 3
In a school, students were told to design a series of patterns with triangles and squares. Ryan's group came up with the following series of patterns.
  1. How many squares did Ryan's group need to form pattern 20?
  2. How many triangles did Ryan's group need to form a pattern with 41 squares?
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Level 3
Study the pattern.
  1. Complete the table.
  2. How many dots are there on each side of the triangle if the total number of dots on the triangle is 102?
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Level 3
What is the difference in the number of squares and triangles in Pattern 45?
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Level 3 PSLE
Victoria hung some identical oval rings vertically. The thickness of each oval ring was 1 cm. The figure shows how the oval rings are connected.
  1. What was the distance from the top of the 1st oval ring to the bottom of the 3rd oval ring?
  2. The distance from the top of the 1st ring to the bottom of the last ring was 177 cm. How many oval rings did Victoria hang altogether?
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Level 3
Corie spent 3 days making some bread for sale. Each day, she made 18 more bread than the day before. She made a total of 141 bread. How many bread did she make on the first day?
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Level 3
The following is a sequence of numbers.
  1. Find the 39th number.
  2. Find the 40th number.
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Level 2
The first three figures of a sequence are shown. The table records the number of shaded and unshaded rhombuses in each figure.
  1. Find the number of unshaded rhombuses in Figure 10?
  2. Find the number of shaded rhombuses in Figure 40?
  3. Which figure number has 804 shaded rhombuses?
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Level 3
The diagram shows a sequence of patterns formed by square tiles. By considering the pattern information in the table, answer the questions.
  1. Find the number of tiles at the bottom layer in the 29th pattern
  2. Find the total number of tiles in Pattern 50.
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