Mathematics: Geometry and Measurement Flashcards

What is the area of a rectangle with length 12 cm and width 5 cm?

Answer: 60 cm²

Area = length × width = 12 × 5 = 60 cm².

What is the perimeter of a square with a side length of 7 meters?

Answer: 28 m

Perimeter of a square = 4 × side = 4 × 7 = 28 m.

What is the area of a triangle with base 10 cm and height 6 cm?

Answer: 30 cm²

Area = ½ × base × height = ½ × 10 × 6 = 30 cm².

What is the circumference of a circle with diameter 14 cm? (Use π ≈ 3.14)

Answer: 43.96 cm

C = π × d = 3.14 × 14 = 43.96 cm.

A right triangle has legs of 3 and 4. What is the hypotenuse?

Answer: 5

Pythagorean theorem: c² = a² + b² = 9 + 16 = 25; c = 5.

What is the volume of a rectangular box that is 4 m × 3 m × 2 m?

Answer: 24 m³

Volume = length × width × height = 4 × 3 × 2 = 24 m³.

How many degrees are in a straight line (straight angle)?

Answer: 180°

A straight angle measures exactly 180 degrees.

What is the area of a circle with radius 5 cm? (Use π ≈ 3.14)

Answer: 78.5 cm²

Area = π × r² = 3.14 × 25 = 78.5 cm².

What is the sum of interior angles of a triangle?

Answer: 180°

The sum of the interior angles of any triangle is always 180°.

What does 'perimeter' measure?

Answer: The total distance around the outside of a shape

Perimeter is the total length of all sides around the boundary of a shape.

A rectangle has a perimeter of 36 cm and a width of 6 cm. What is its length?

Answer: 12 cm

P = 2(l + w); 36 = 2(l + 6); 18 = l + 6; l = 12 cm.

What is the volume of a cylinder with radius 3 cm and height 10 cm? (Use π ≈ 3.14)

Answer: 282.6 cm³

V = π × r² × h = 3.14 × 9 × 10 = 282.6 cm³.

What type of angle is greater than 90° but less than 180°?

Answer: Obtuse

An obtuse angle measures between 90° and 180°.

How many feet are in one yard?

Answer: 3

1 yard = 3 feet.

What is the perimeter of a triangle with sides 5 cm, 7 cm, and 9 cm?

Answer: 21 cm

Perimeter = 5 + 7 + 9 = 21 cm.

What is the surface area of a cube with side length 4 cm?

Answer: 96 cm²

Surface area = 6 × s² = 6 × 16 = 96 cm².

Convert 5 kilometers to meters.

Answer: 5,000 m

1 km = 1,000 m; 5 km = 5,000 m.

Two angles are supplementary. One measures 65°. What is the other?

Answer: 115°

Supplementary angles add to 180°. 180° - 65° = 115°.

What is the area of a parallelogram with base 8 m and height 5 m?

Answer: 40 m²

Area of a parallelogram = base × height = 8 × 5 = 40 m².

A ladder 13 feet long leans against a wall. The base of the ladder is 5 feet from the wall. How high does it reach?

Answer: 12 ft

c² = a² + b²; 13² = 5² + h²; 169 = 25 + h²; h² = 144; h = 12 ft.