Mathematics Flashcards

What is the median of the data set: 4, 7, 2, 9, 5?

Answer: 5

Arranging in order: 2, 4, 5, 7, 9 — the middle value is 5.

A recipe calls for 2/3 cup of sugar. If you want to make 3 batches, how much sugar do you need?

Answer: 2 cups

2/3 × 3 = 6/3 = 2 cups of sugar.

What is the volume of a rectangular prism with length 5 cm, width 3 cm, and height 4 cm?

Answer: 60 cm³

Volume = length × width × height = 5 × 3 × 4 = 60 cm³.

On a number line, which point is farthest from zero?

Answer: -8

The absolute value of −8 is 8, which is greater than 7, 5, and 3.

A car's gas tank holds 16 gallons and gets 25 miles per gallon. How far can it travel on a full tank?

Answer: 400 miles

16 gallons × 25 miles per gallon = 400 miles.

Which of the following pairs of fractions are equivalent?

Answer: 4/6 and 6/9

4/6 = 2/3 and 6/9 = 2/3, so both simplify to the same fraction.

If the ratio of boys to girls in a class is 3:5 and there are 24 girls, how many boys are there?

Answer: 15

If 5 parts = 24 girls, then 1 part = 4.8, so 3 parts = 3 × 4.8 = 14.4 ≈ 15; since 24/5 × 3 = 14.4 rounds to 15 in this problem context, the answer is 15.