maths exam

Question 1

What is the formula for the area of a triangle?

Answer 1

Area = 1/2 × base × height

For a triangle with base 12 cm and height 5 cm, the area can be calculated using this formula.

Question 2

What is the area of a triangle with base 12 cm and height 5 cm?

Answer 2

30 cm²

Area = 1/2 × 12 cm × 5 cm = 30 cm²

Question 3

What is the formula for the area of a parallelogram?

Answer 3

Area = base × height

For a parallelogram with base 9 m and height 7 m, the area can be calculated using this formula.

Question 4

What is the area of a parallelogram with base 9 m and height 7 m?

Answer 4

63 m²

Area = 9 m × 7 m = 63 m²

Question 5

What is the formula for the volume of a rectangular prism?

Answer 5

Volume = length × width × height

For a rectangular prism with dimensions 6 m, 3 m, and 2 m.

Question 6

What is the volume of a rectangular prism with length 6 m, width 3 m, and height 2 m?

Answer 6

36 m³

Volume = 6 m × 3 m × 2 m = 36 m³

Question 7

What is the formula for the volume of a triangular prism?

Answer 7

Volume = (1/2 × base × height) × length

For a triangular prism with base 7 cm, length 12 cm, and height 8 cm.

Question 8

What is the volume of a triangular prism with a base of 7 cm, length of 12 cm, and height of 8 cm?

Answer 8

168 cm³

Volume = (1/2 × 7 cm × 8 cm) × 12 cm = 168 cm³

Question 9

What is the formula for the diameter of a circle?

Answer 9

Diameter = 2 × radius

For a circle with radius 6 cm.

Question 10

What is the diameter of a circle with a radius of 6 cm?

Answer 10

12 cm

Diameter = 2 × 6 cm = 12 cm

Question 11

What is the formula for the circumference of a circle?

Answer 11

Circumference = 2 × π × radius

For a circle with a radius of 6 cm.

Question 12

What is the circumference of a circle with a radius of 6 cm?

Answer 12

Approximately 37.68 cm

Circumference = 2 × π × 6 cm ≈ 37.68 cm

Question 13

What is the area of a rectangular playground with a length of 25 m and a width of 14 m?

Answer 13

350 m²

Area = 25 m × 14 m = 350 m²

Question 14

If the width of the playground is increased to 20 m, what is the new area?

Answer 14

500 m²

New area = 25 m × 20 m = 500 m²

Question 15

How much extra synthetic turf will be needed if the width is increased to 20 m?

Answer 15

150 m²

Extra turf = 500 m² - 350 m² = 150 m²

Question 16

What is the volume of a fish tank shaped like a rectangular prism with dimensions 60 cm long, 30 cm wide, and 40 cm high?

Answer 16

72000 cm³

Volume = 60 cm × 30 cm × 40 cm = 72000 cm³

Question 17

What is the method to find missing angles in a geometric figure?

Answer 17

Use angle relationships and properties

Angle relationships may include complementary, supplementary, and vertical angles.

Question 18

What is the method to find unknown angles a, b, and c?

Answer 18

Apply angle relationships and equations

Solve for unknown angles using given angles and properties.

Question 19

What is the formula for the perimeter of a circle?

Answer 19

Perimeter (Circumference) = 2 × π × radius

For a circular running track with a radius of 10.5 m.

Question 20

How much fencing would be needed to go around a circular track with a radius of 10.5 m?

Answer 20

Approximately 66.0 m

Perimeter = 2 × π × 10.5 m ≈ 66.0 m