PSAT Geometry & Measurement

Question 1

What is the area of a rectangle with length 5 units and width 3 units?

Accepted Answer

15 square units

Answer

The area of a rectangle is calculated by multiplying its length by its width. For a rectangle with a length of 5 units and a width of 3 units, the area is 5 units * 3 units. This calculation yields 15 square units, representing the total two-dimensional space enclosed by the rectangle.

Question 2

What is the perimeter of a square with a side length of 6 units?

Accepted Answer

24 units

Answer

The perimeter of a square is the total length of its four equal sides. Since a square has four sides of equal length, the perimeter is calculated by multiplying the side length by 4. For a square with a side length of 6 units, the perimeter is 6 units * 4, which equals 24 units.

Question 3

What is the volume of a cube with a side length of 4 units?

Accepted Answer

64 cubic units

Answer

The volume of a cube is found by multiplying its side length by itself three times (side * side * side, or side cubed). For a cube with a side length of 4 units, the volume is 4 units * 4 units * 4 units. This calculation results in 64 cubic units, representing the three-dimensional space occupied by the cube.

Question 4

What is the area of a triangle with a base of 8 units and height of 5 units?

Accepted Answer

20 square units

Answer

The area of a triangle is calculated using the formula (1/2) * base * height. For a triangle with a base of 8 units and a height of 5 units, the area is (1/2) * 8 units * 5 units. This calculation yields 20 square units, representing the two-dimensional space enclosed by the triangle.

Question 5

What is the circumference of a circle with a radius of 7 units?

Accepted Answer

14π units

Answer

The circumference of a circle is the distance around its edge, calculated using the formula 2πr, where 'r' is the radius. For a circle with a radius of 7 units, the circumference is 2 * π * 7 units. This calculation results in 14π units, representing the total length of the circle's boundary.

PSAT/NMSQT Practice Test

PSAT/NMSQT Practice Test

PSAT Geometry & Measurement