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Question 1: What is the correct formula to find the area of a triangle?
- A = length × width
- A = 1/2 × base × height
- A = 2 × base × height
- A = base + height
Answer: B. A = 1/2 × base × height
Explanation: The area of a triangle is calculated by multiplying one-half by the base and the height, which represents half the area of a rectangle with the same dimensions.
Question 2: What is the sum of two complementary angles?
- 180 degrees
- 360 degrees
- 45 degrees
- 90 degrees
Answer: D. 90 degrees
Explanation: By definition, complementary angles are two angles whose measures add up to exactly 90 degrees, forming a right angle when placed together.
Question 3: What is the sum of two supplementary angles?
- 90 degrees
- 180 degrees
- 360 degrees
- 270 degrees
Answer: B. 180 degrees
Explanation: Supplementary angles are defined as two angles whose measures add up to exactly 180 degrees, which creates a straight line.
Question 4: How do you calculate the volume of a rectangular prism?
- 1/2 × length × width
- Length + width + height
- Length × width × height
- 2 × (length + width)
Answer: C. Length × width × height
Explanation: To find the volume of a rectangular prism, you multiply its length, width, and height together to determine the total space inside the solid object.
Question 5: What is the term for a corner point where two or more edges of a shape meet?
- Base
- Face
- Plane
- Vertex
Answer: D. Vertex
Explanation: A vertex is the specific point where two or more edges of a geometric shape meet, serving as a corner of the figure.
Question 6: What is true about vertical angles formed by two intersecting lines?
- They add up to 180 degrees
- They are always equal in measure
- They add up to 90 degrees
- They are always right angles
Answer: B. They are always equal in measure
Explanation: Vertical angles are the opposite angles formed when two lines intersect, and they are always equal in measure to each other.
Question 7: Which of these describes a 2-dimensional shape?
- It is a solid object
- It is flat and lies in a plane
- It has volume
- It has length, width, and height
Answer: B. It is flat and lies in a plane
Explanation: A 2-dimensional shape is flat and exists entirely within a single plane, whereas 3-dimensional shapes are solid objects with depth.
Question 8: What is used to represent a 3D figure to help find its surface area?
- A complementary sum
- A 2D net of rectangles and triangles
- A coordinate plane
- A vertical angle
Answer: B. A 2D net of rectangles and triangles
Explanation: A 3D figure can be unfolded into a 2D net made of rectangles and triangles, which allows for easier calculation of the total surface area.
Question 9: What do Grade 6 students use to draw polygons in the coordinate plane?
- Volume formulas
- Surface area nets
- Supplementary angles
- Vertex coordinates
Answer: D. Vertex coordinates
Explanation: Students use given vertex coordinates to plot points on a coordinate plane, which are then connected to form various polygons.
Question 10: The area of a triangle is half the area of what other shape with the same base and height?
- A pentagon
- A circle
- A rectangle
- A trapezoid
Answer: C. A rectangle
Explanation: The area of any triangle is exactly half the area of a rectangle that shares the same base and height dimensions.