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Full-Length GED Math Practice Test v1.0

Welcome to your Full-Length GED Math Practice Test v1.0

Before You Start:
- Make sure you are comfortable using the TI-30XS MultiView Calculator - you will need it for Part 2.
- Don’t be afraid to guess. On the GED®, there is no penalty for wrong answers.
- Every question includes a full, step-by-step solution - use it to understand the main idea, not just the answer.
Next Step: After you finish, move to GED Math Exam Simulation v1.0. The questions will feel familiar, but the situations will change - that’s how we check real understanding.
Test Structure:

Total Questions: 46
Part 1 (Non-Calculator): 5 questions
Part 2 (Calculator): 41 questions

P.S. This isn’t just practice - it’s your path to passing the GED®.
Every question moves you forward. Stay focused. Trust your thinking. Keep going.

1.

Part 1 - Non-Calculator:

A street light is \(18\) feet tall and makes a shadow \(12\) feet long. At the same time, a man named John casts a shadow \(4\) feet long.
How tall is John?

a) 5 ft

b) 6 ft

c) 7 ft

d) 8 ft

None

of 46

2.

Non-Calculator:

What is the value of the expression:

\(-2(x + 3y) + 2(3 - x)^2\)

when \(x = 2\) and \(y = -1\)?

a) -4

b) 0

c) 2

d) 4

None

of 46

3.

Non-Calculator:
A line passes through the points \( (3, 4) \) and \( (7, 12) \).
What is the slope of this line?

A) \( m = 1 \)

B) \( m = 3 \)

C) \( m = 2 \)

D) \( m = 4 \)

None

Hint

of 46

4.

Non-Calculator:

Evaluate the expression:

\[ [\, 5 \times (-14) \,] + \left[ \frac{(-6) \times (-10)}{5} \right] + (-18) \]

A) -60

B) -58

C) -76

D) 56

None

of 46

5.

Non-Calculator:

What is the product of all possible values of \(x\) in the following equation?

\(\lvert 4x - 5 \rvert = 21\)

A) -26

B) -11

C) -24

D) 26

None

of 46

6.

Part 2 - Calculator Allowed

Simplify the expression:

\((3x^4 + 2x^3 - x^2) - (x^4 - 5x^3 + 4x^2)\)

A) \(2x^4 + 7x^3 - 5x^2\)

B) \(4x^5 + 7x^3 - 5x^2\)

C) \(2x^4 + 7x^6 - 5x^3\)

D) \(2x^4 + 7x^3 - 15x^2\)

None

Hint

of 46

7.

What is the value of \(2^5\)?

A) 10

B) 16

C) 32

D) 64

None

Hint

of 46

8.

Last month, a store sold \(24{,}000\) items. This month, the store sold three times as many items, but one fourth of them were returned.
How many items were kept this month?

A. \(54{,}000\)

B. \(60{,}000\)

C. \(72{,}000\)

D. \(48{,}000\)

None

Hint

of 46

9.

A city's population grew by \(10\%\) in the first year and then increased by \(15\%\) in the second year.
What is the total percent increase after two years?

A. \(25\%\)

B. \(26.5\%\)

C. \(27.5\%\)

D. \(30\%\)

None

Hint

of 46

10.

Solve the inequality:

\(-3x + 5 \le 17\)

A. \(x \ge -4\)

B. \(x \le -4\)

C. \(x \ge 4\)

D. \(x \le 4\)

None

Hint

of 46

11.

A box contains \(4\) red balls, \(5\) blue balls, and \(1\) yellow ball. One ball is chosen at random.
What is the probability of selecting a blue ball?

A. \(\frac{5}{10}\)

B. \(\frac{4}{10}\)

C. \(\frac{1}{5}\)

D. \(\frac{5}{9}\)

None

Hint

of 46

12.

A rectangular water tank holds \(2{,}400\) cubic feet of water. The tank is \(20\) feet long and \(12\) feet wide.
How deep is the tank?

A. \(8\)

B. \(10\)

C. \(12\)

D. \(6\)

None

Hint

of 46

13.

The average of \(8\) test scores was calculated as \(7\). Later, it was discovered that one score was recorded as \(9\), but the correct score was \(5\). What is the correct average?

A. \(6.5\)

B. \(6.75\)

C. \(7\)

D. \(7.5\)

None

Hint

of 46

14.

Which of the following shows the numbers in descending order?

\(\frac{3}{4},\; 0.6,\; 55\%,\; \frac{1}{2}\)

A. \(\frac{1}{2},\; 55\%,\; 0.6,\; \frac{3}{4}\)

B. \(\frac{3}{4},\; 0.6,\; 55\%,\; \frac{1}{2}\)

C. \(0.6,\; \frac{3}{4},\; 55\%,\; \frac{1}{2}\)

D. \(\frac{3}{4},\; 55\%,\; 0.6,\; \frac{1}{2}\)

None

Hint

of 46

15.

A storage box is shaped like a rectangular prism. It is \(6\) cm tall, \(7\) cm wide, and \(4\) cm long.
What is the volume of the box?

A. \(168\text{ cm}^3\)

B. \(120\text{ cm}^3\)

C. \(84\text{ cm}^3\)

D. \(200\text{ cm}^3\)

None

Hint

of 46

16.

The average of \(5\) test scores is \(24\). The average of \(3\) of those scores is \(30\).
What is the average of the remaining two scores?

A. \(12\)

B. \(15\)

C. \(18\)

D. \(21\)

None

Hint

of 46

17.

What is the value of \(y\) in the following system of equations?

\[ \begin{cases} 2x + y = 11 \\ x - y = 1 \end{cases} \]

A. \(y = 2\)

B. \(y = 3\)

C. \(y = 4\)

D. \(y = 5\)

None

Hint

of 46

18.

The perimeter of a rectangular garden is \(120\) meters. The width is three times the length.
What is the length of the garden?

A. \(12\) meters

B. \(15\) meters

C. \(18\) meters

D. \(20\) meters

None

Hint

of 46

19.

In a school, the ratio of students who prefer math to students who prefer science is \(3:5\).

Which of the following could be the total number of students surveyed?

A. 64, 72, 80, and 96

B. 64, 72, 80, and 90

None

Hint

of 46

20.

A square picture has an area of \(196\) square centimeters.

What is the perimeter of the picture?

A. 56 cm

B. 28 cm

C. 49 cm

D. 14 cm

None

Hint

of 46

21.

A snack box contains 14 granola bars, 9 bags of chips, 7 cookies, and 10 fruit snacks.
If one item is chosen at random, what is the probability of selecting a cookie?

A. 7/40

B. 7/30

C. 9/40

D. 10/40

None

Hint

of 46

22.

A square-shaped mirror has a diagonal length of 10 inches.

What is the area of the mirror?

A. 25

B. 50

C. 100

D. 20

None

Hint

of 46

23.

Which of the following points lies on the line \(3x + y = 7\)?

A. \((2, 1)\)

B. \((3, -1)\)

None

Hint

of 46

24.

A student is choosing an outfit. There are 4 shirts, 3 pairs of pants, and 2 pairs of shoes.

How many different outfit combinations are possible?

A. 9

B. 12

C. 24

D. 18

None

Hint

of 46

25.

The ratio of red balls to blue balls in a box is \(4:6\). There are 100 balls in total.

How many red balls must be added to make the number of red and blue balls equal?

A. 10

B. 20

C. 15

D. 25

None

Hint

of 46

26.

The average of 5 test scores is 30. A sixth score greater than 40 is added.

Which of the following could be the new average?

A. 29

B. 30

C. 31

D. 35

None

Hint

of 46

27.

The perimeter of the trapezoid below is \(43\) cm.
What is its area?

A. \(80\text{ cm}^2\)

B. \(90\text{ cm}^2\)

C. \(100\text{ cm}^2\)

D. \(110\text{ cm}^2\)

None

Hint

of 46

28.

A card is drawn at random from a standard 52-card deck.
What is the probability that the card is a Spade or a Club? (13 cards in each suit)

A. \( \frac{1}{4} \)

B. \( \frac{1}{2} \)

C. \( \frac{2}{13} \)

D. \( \frac{3}{4} \)

None

Hint

of 46

29.

The diagonal of a rectangle is \(13\) inches long and the height of the rectangle is \(5\) inches.
What is the perimeter of the rectangle in inches?

A. \(30\) inches

B. \(26\) inches

C. \(34\) inches

D. \(20\) inches

None

Hint

of 46

30.

What is the surface area of the cylinder below?
(Diameter = \(10\) m, Height = \(15\) m)

A. \(200\pi\text{ m}^2\)

B. \(250\pi\text{ m}^2\)

C. \(300\pi\text{ m}^2\)

D. \(350\pi\text{ m}^2\)

None

Hint

of 46

31.

Simplify:

\(6x^2y^5(-2xy^2)^3\)

A. \(-48x^5y^{11}\)

B. \(-12x^5y^{11}\)

C. \(48x^5y^{11}\)

D. \(-48x^6y^{10}\)

None

Hint

of 46

32.

Ms. Lopez saves $4,200 out of her annual income of $63,000.

What fractional part of her income does she save?

A. \( \frac{1}{15} \)

B. \( \frac{1}{10} \)

C. \( \frac{2}{15} \)

D. \( \frac{1}{5} \)

None

Hint

of 46

33.

What is the median of these numbers?

3, 15, 7, 10, 2, 18, 6, 9

A. \(7.5\)

B. \(8\)

C. \(9\)

D. \(10\)

None

Hint

of 46

34.

A bank offers 4% simple interest on a savings account. If you deposit $15,000,
how much interest will you earn in 5 years?

A. $3,000

B. $750

C. $3,750

D. $18,750

None

Hint

of 46

35.

Mr. Carter needs an 85% average in his math class to pass. On his first 3 exams, he earned scores of 78%, 88%, and 84%.
What is the minimum score Mr. Carter needs on his fourth test to pass?

A. 90%

B. 85%

C. 80%

D. 70%

None

Hint

of 46

36.

Alex is 12 miles ahead of Brian and is running at 3 miles per hour. Brian is running at 6 miles per hour.
How long will it take Brian to catch Alex?

A. 2 hours

B. 3 hours

C. 4 hours

D. 6 hours

None

Hint

of 46

37.

What is the equivalent temperature of 77°F in Celsius?

\( C = \frac{5}{9}(F - 32) \)

A. 20

B. 25

C. 30

D. 15

None

Hint

of 46

38.

A basketball team has $25,000 to spend on equipment. The team already spent $12,500 on uniforms. Each basketball costs $75.
Which inequality represents the number of basketballs the team can purchase?

A. \(75x + 12{,}500 \leq 25{,}000\)

B. \(75x + 25{,}000 \leq 12{,}500\)

C. \(150x + 12{,}500 \leq 25{,}000\)

D. \(75x + 12{,}500 \geq 25{,}000\)

None

Hint

of 46

39.

If 60% of a number is 48, what is the number?

A. 28.8

B. 80

C. 72

D. 96

None

Hint

of 46

40.

The circle graph shows all of Ms. Garcia’s monthly expenses.
If she spent $600 on transportation, how much did she spend on rent?

Rent: 30%
Food: 20%
Transportation: 15%
Utilities: 10%
Other: 25%

A. $1,200

B. $900

C. $1,000

D. $1,500

None

Hint

of 46

41.

200 students took an exam and 80 of them failed.
What percent of the students passed the exam?

A. 40%

B. 50%

C. 60%

D. 80%

None

Hint

of 46

42.

A hiker walks 24 miles east and then 18 miles north.
What is the shortest distance from the hiker to the starting point?

A. 30 miles

B. 42 miles

C. 20 miles

D. 36 miles

None

Hint

of 46

43.

The square of a number is \(\frac{36}{49}\).
What is the cube of that number?

A. \(\frac{216}{343}\)

B. \(\frac{36}{49}\)

C. \(\frac{6}{7}\)

D. \(\frac{108}{343}\)

None

Hint

of 46

44.

What is the value of \(x\) in the equation?

\(\frac{1}{4}x + \frac{2}{5} = \frac{3}{5}\)

A. \(\frac{1}{2}\)

B. \(\frac{4}{5}\)

C. \(\frac{3}{4}\)

D. \(\frac{2}{3}\)

None

Hint

of 46

45.

If 150% of a number is 90, then what is 50% of that number?

A. 15

B. 20

C. 30

D. 45

None

Hint

of 46

46.

What is the slope of the line?

\(3x - 6y = 18\)

A. 1/2

B. -1/2

C. 3/6

D. -3/6

None

Hint

of 46

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