CHSPE Mathematics 4

Question 1

Which expression represents the area of a circle with diameter d?

Accepted Answer

πd²/4

Answer

Radius = d/2, so Area = π(d/2)² = πd²/4.

Question 2

What is the value of x if 5(x − 2) = 3(x + 4)?

Accepted Answer

x = 11

Answer

5x − 10 = 3x + 12 → 2x = 22 → x = 11.

Question 3

A cylinder has a radius of 5 cm and a height of 10 cm. What is its volume? (Use π ≈ 3.14)

Accepted Answer

785 cm³

Answer

V = πr²h = 3.14 × 25 × 10 = 785 cm³.

Question 4

On a number line, which value is closest to √50?

Accepted Answer

7

Answer

√49 = 7 and √64 = 8, so √50 is just slightly above 7.

Question 5

A recipe calls for 2½ cups of flour to make 24 cookies. How many cups are needed for 60 cookies?

Accepted Answer

6¼ cups

Answer

60 ÷ 24 = 2.5, so 2.5 × 2.5 = 6.25 = 6¼ cups.

California High School Proficiency Exam Practice Test