MDTP Arithmetic and Number Sense 3

Question 1

What is 2³ × 2⁴?

Accepted Answer

2⁷

Answer

When multiplying powers with the same base, add exponents: 2³ × 2⁴ = 2⁷.

Question 2

A car travels 240 miles in 4 hours. What is its average speed in miles per hour?

Accepted Answer

60 mph

Answer

Average speed = total distance ÷ total time = 240 ÷ 4 = 60 mph.

Question 3

Which is the scientific notation for 0.00047?

Accepted Answer

4.7 × 10⁻⁴

Answer

Moving the decimal 4 places right: 0.00047 = 4.7 × 10⁻⁴.

Question 4

If a bag contains 5 red, 3 blue, and 2 green marbles, what fraction of marbles are blue?

Accepted Answer

3/10

Answer

Total marbles = 10; fraction blue = 3/10.

Question 5

What is the prime factorization of 60?

Accepted Answer

2² × 3 × 5

Answer

60 = 2 × 30 = 2 × 2 × 15 = 4 × 15 = 2² × 3 × 5.

MDTP - Mathematics Diagnostic Testing Project Practice Test