GED Math Test #5 2

Question 1

A car travels 180 miles on 6 gallons of gas. At the same rate, how many gallons of gas are needed to travel 270 miles?

Accepted Answer

9 gallons

Answer

First find the unit rate: 180 miles / 6 gallons = 30 miles per gallon. Then divide the total distance by the rate: 270 miles ÷ 30 mpg = 9 gallons. You can also set up a proportion: 180/6 = 270/x, cross-multiply to get 180x = 1620, so x = 9.

Question 2

A set of 7 test scores is: 82, 76, 91, 88, 76, 95, 84. What is the median score?

Accepted Answer

84

Answer

To find the median, first arrange the scores in order from least to greatest: 76, 76, 82, 84, 88, 91, 95. The median is the middle value. With 7 scores, the middle is the 4th value, which is 84. The mean (average) would be 592 ÷ 7 ≈ 84.57, but that is not the median.

Question 3

A rectangular garden has a length of 14 meters and a width of 9 meters. What is the total area of the garden?

Accepted Answer

126 square meters

Answer

The area of a rectangle is calculated using the formula A = length × width. Here, A = 14 × 9 = 126 square meters. The perimeter would be 2(14 + 9) = 2(23) = 46 meters, which is a different measurement.

Question 4

A store sells a jacket for $85. The store bought the jacket from a supplier for $50. Which equation correctly represents the store's percent markup, m?

Accepted Answer

50 + (50 × m) = 85

Answer

Percent markup is based on the cost price. The selling price equals the cost plus the markup amount: cost + (cost × markup rate) = selling price. So 50 + (50 × m) = 85. Solving: 50m = 35, so m = 0.70 or 70% markup. Option A incorrectly omits the base cost, and options C and D use the selling price as the base.

Question 5

Simplify: 3² × 2³

Accepted Answer

72

Answer

3² means 3 × 3 = 9. 2³ means 2 × 2 × 2 = 8. Multiply the results: 9 × 8 = 72. A common mistake is to add the exponents (which only applies when multiplying the same base) or to multiply the bases and add the exponents. Each base must be evaluated separately.

GED Practice Test

GED Practice Test

GED Math Test #5 2