CHSPE Number Sense and Operations 3

Question 1

What is the least common multiple (LCM) of 4 and 6?

Accepted Answer

12

Answer

The smallest number divisible by both 4 and 6 is 12.

Question 2

What is the greatest common factor (GCF) of 18 and 24?

Accepted Answer

6

Answer

The factors of 18 are 1, 2, 3, 6, 9, 18 and factors of 24 include 1, 2, 3, 4, 6, 8, 12, 24; the GCF is 6.

Question 3

Which of the following fractions is the largest?

Accepted Answer

2/3

Answer

Converting to decimals: 2/3 ≈ 0.667, 3/5 = 0.600, 5/8 = 0.625, 7/12 ≈ 0.583; 2/3 is largest.

Question 4

A car travels 150 miles in 3 hours. What is its average speed in miles per hour?

Accepted Answer

50 mph

Answer

Average speed = distance ÷ time = 150 ÷ 3 = 50 mph.

Question 5

What is 2 1/3 + 1 2/3?

Accepted Answer

4

Answer

2 1/3 + 1 2/3 = 3 + 3/3 = 3 + 1 = 4.

California High School Proficiency Exam Practice Test