ICAS Mathematics 4

Question 1

What is the prime factorization of 36?

Accepted Answer

2² × 3²

Answer

36 = 4 × 9 = 2² × 3², which is its prime factorization.

Question 2

If y = 3x − 5 and x = 4, what is y?

Accepted Answer

7

Answer

y = 3(4) − 5 = 12 − 5 = 7.

Question 3

A clock shows 3:45. What is the angle between the hour and minute hands?

Accepted Answer

157.5°

Answer

At 3:45, the minute hand is at 270° and the hour hand is at 112.5°, giving a difference of 157.5°.

Question 4

What is 0.375 written as a fraction in simplest form?

Accepted Answer

3/8

Answer

0.375 = 375/1000 = 3/8 after dividing numerator and denominator by 125.

Question 5

A cylinder has a radius of 5 cm and a height of 10 cm. Using π ≈ 3.14, what is its volume?

Accepted Answer

785 cm³

Answer

Volume = π × r² × h = 3.14 × 25 × 10 = 785 cm³.

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