G2 Cassie VTAMPS 13 GEOMETRY

E) According to the pattern shown below, what should be the figure filled in the blank?

(a)  

Answer explanation

Solution: By observation, the pattern is repeating after the 12th figure. Since the blank is in the 25th position, 25 ÷ 12 = 2 remainder 1. Counting from the 1st position, it is the black triangle.

B) How many interior angle(s) is/are there in the polygon below?

(a)  

Answer explanation

Solution: Counting the interior angles of the figure which are just equal to the number of vertices, there are 9 interior angles.

D) How many interior angle(s) is/are there in the polygon below?

(a)  

Answer explanation

Solution: Counting the interior angles of the figure which are just equal to the number of vertices, there are 10 interior angles.

D) One unit square is one square face of a small cube. At least how many unit square(s) can be seen if the figure below is viewed from the left?

(a)  

Answer explanation

Solution: Viewing the figure from the left, it will look like the figure shown on the right. So, counting the squares, there are 9 unit squares.

B) How many line segment(s) is/are there in the figure below?

(a)  

Answer explanation

Solution:
Counting line segments with 2 points, we have 13.
For 3 points, there are 6 line segments.
For 4 points, there are 3 line segments.
Adding all the number of segments,
13 + 6 + 3 = 22.

A) A unit square is one face of a cube in the stack below. How many unit square(s) can be seen if the figure below is viewed from above?

(a)  

Answer explanation

Solution: Viewing the figure from above, it would look like a 3×3 square figure. So, when counting the squares, there are 9 squares.

B) How many square(s) is/are there in the figure below?

(a)  

Answer explanation

Solution:
Counting the 1×1 squares, there are 15 squares. For the 2×2 squares, there is 1 square.
For the 3×3 squares, there are 2 squares.
For the 4×4 squares, there is 1 square.
So, 15 + 1 + 2 + 1 = 19.

B) One unit square is one square face of a small cube. At least how many unit square(s) can be seen if the figure below is viewed from the left?

(a)  

Answer explanation

Solution: Viewing the figure from the left, it would look like the figure shown on the right. So, counting the squares, there are 8 unit squares.

C) How many square(s) is/are there in the figure below?

(a)  

Answer explanation

Solution:
Counting the 1×1 squares, there are 16 squares. For the 2×2 squares, there are 3 squares.
For the 3×3 squares, there are 4 squares.
For the 4×4 squares, there is 1 square.
So, 16 + 3 + 4 + 1 = 24.

C) How many line segment(s) is/are there in the figure below?

(a)  

Answer explanation

Solution:
Counting line segments with 2 points, we have 12.
For 3 points, there are 4 line segments.
For 4 points, there is 1 line segment.
Adding all the number of segments,
12 + 4 + 1 = 17.