AzM2 Grade 8 Math 4

Question 1

A cone has radius 4 cm and height 9 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

150.72 cm³

Answer

V = (1/3)πr²h = (1/3)(3.14)(16)(9) = 150.72 cm³.

Question 2

Which number is equivalent to 2³ × 2⁴?

Accepted Answer

2⁷

Answer

When multiplying same bases, add exponents: 2³ × 2⁴ = 2⁷.

Question 3

A line has slope −3 and passes through (0, 5). Which equation represents this line?

Accepted Answer

y = −3x + 5

Answer

Using slope-intercept form y = mx + b with m = −3 and b = 5: y = −3x + 5.

Question 4

What is 0.00045 written in scientific notation?

Accepted Answer

4.5 × 10⁻⁴

Answer

Moving the decimal 4 places right gives 4.5 × 10⁻⁴.

Question 5

Which of the following best describes the number √(−9)?

Accepted Answer

Not a real number

Answer

The square root of a negative number is not defined in the real number system.

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