GED Mathematical reasoning 2

Question 1

The figure has 12 inches on each side. long. What does this shape's area measure?

Accepted Answer

5 ft^2

Answer

4 ft^2

Answer

18 ft^2

Answer

21 ft^2

Question 2

The equivalent of (7x + 3y)(8x + 5y) is which of the following?

Accepted Answer

56x² + 59xy + 15y²

Answer

7x² + 24xy + 8y²

Answer

7x² + 37xy + 5y²

Answer

56x² + 44xy + 15y²

Question 3

Each year, a toy maker produces 15,000 toys. 300 toys are chosen at random by the company for inspection sampling. Five defective toys are found in the sample by the firm. How many of the 15,000 toys are expected to be defective based on the sample?

Accepted Answer

250

Answer

150

Answer

190

Answer

380

Question 4

Lisa worked 40 hours for an hourly wage of $8.10. Jamie's hourly wage is $10.80. How many hours would Jamie have to put in to earn what Lisa made working more than 40 hours?

Accepted Answer

30

Answer

26

Answer

35

Answer

42

Question 5

What is the volume of a cube whose sides are 4 inches long?

Accepted Answer

64 in^3

Answer

27 in^3

Answer

33 in^3

Answer

55 in^3

Question 6

Florida will be Lira's vacation destination. She moves at a speed of 63 km/h for five hours and 70 km/h for two hours. What was Lira's average speed over the 7-hour period?

Accepted Answer

65 km/h

Answer

68 km/h

Answer

69 km/h

Answer

72 km/h

Question 7

Rose needs to figure out her water bill each month. At a cost of $1.12 per hundred gallons, her family utilized 18,900 gallons. Additionally, each household must pay a $5.90 monthly account charge. What does she owe in total?

Accepted Answer

$217.58

Answer

$204.87

Answer

$201.57

Answer

$212.68

Question 8

In a nearby yoga studio, women make up 80% of the clientele while men make up 20%. The men are typically 40 years old, while the ladies are typically 30 years old. What is the average age of the group as a whole?

Accepted Answer

32

Answer

23

Answer

29

Answer

30

Question 9

There is a 90% likelihood that the Blue Comets soccer team will score the opening goal in each game. How likely is it that the Blue Comets will score the first goal in four straight games?

Accepted Answer

0.656

Answer

0.48

Answer

0.76

Answer

0.701

Question 10

Which of the following expressions must be true if x is a small negative integer and y is a large positive integer?

Accepted Answer

y − x

Answer

x * y

Answer

x ÷ y

Answer

y ÷ x

The figure has 12 inches on each side. long.What does this shape's area measure?

The figure has 12 inches on each side. long.
What does this shape's area measure?