Question

Jia is making patterns of shapes using matchsticks.

She records the number of matchsticks and the number of squares for each shape in the table.

Select the rule for making the next shape.

• A. Add 6 matchsticks to make 4 more squares.
• B. Add 2 matchsticks to make 8 more squares.
• C. Add 6 matchsticks to make 2 more squares.
• D. Add 8 matchsticks to make 2 more squares.

Answer 1

The correct option is C Add 6 matchsticks to make 2 more squares.

Solution:
Say:
Let’s observe the pattern, and find out the rule for making the next shape.
Steps:

• Pattern of the number of matchsticks: 4, 10, 16
• The next number of matchsticks will be 22 as we can observe the rule of the given pattern is to add 6 to the previous number to get the next number as shown on the whiteboard.
• Pattern of the number of square: 1, 3, 5
• The next number of squares will be 7 as we can observe the rule of the given pattern is to add 2 to the previous number to get the next number as shown on the whiteboard.
• Hence, Option A is the answer.