Full-Length GED Math Practice Test

Taking a Full-length GED Math practice test is the best way to help you get familiar with the test format and feel more confident. Not only will this help you measure your exam readiness and solidify the concepts you’ve learned, but it is the best way to simulate test day.

To help you get the best out of this complete and realistic GED Math practice test and prepare your mind and body for the actual test, we recommend that you treat this practice test as a real test. Prepare scratch papers, a pencil, a timer, and a calculator and take the test in one sitting and follow the time limits to the minute.
Take the following full-length GED Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.
Good luck!

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GED Mathematical Reasoning Practice Test

Two Parts

Total number of questions: 46

Part 1 (Non-Calculator): 5 questions

Part 2 (Calculator): 41 questions

Total time for two parts: 115 Minutes

GED Mathematical Reasoning

Practice Test
Part 1 (Non-Calculator)
5 questions
Total time for two parts (Non-Calculator, and Calculator parts): 115 Minutes

1- What is the value of the expression \(2x(y-2x)+(2y-x)^2\) when \(x=-1\) and \(y=2\)?

A. 17

B. 18

C. 20

D. 25

2- What is the slope of a line that is perpendicular to the line \(-4x-y=8\)?

A. \(-4\)

B. \(\frac{1}{8}\)

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

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

3- What is the product of all possible values of \(x\) in the following equation? \(|-2x-4|=8\)

A. \(-18\)

B. \(-12\)

C. \(-14\)

D. \(-16\)

4- Which of the following points lies on the line with equation \(2?−3?=13\) ?

A. \((2, -8)\)

B. \((-2, -3)\)

C. \((2, -3)\)

D. \((2, 3)\)

5- \(-2×|-4|+3×(–2)-[10-6×(-7)]÷4=\) ?
Write your answer in the blank.

GED Mathematical Reasoning

Practice Test
Part 2 (Calculator)
41 questions
Total time for two parts (Non-Calculator, and Calculator parts): 115 Minutes
You may use a calculator on this part.

6- A bank is offering \(2.9\%\) simple interest on a savings account. If you deposit $25,000, how much interest will you earn in three years?

A. $1,815

B. $1,910

C. $1,950

D. $2,175

7- The circle graph below shows all Mr. Green’s expenses for last month. If he spent $575 on his rent, how much did he spend for his car?

A. 850

B. 855.5

C. 870.3

D. 885

8- What is the median and range of these numbers?
\(34,12,15,4,19,21,25\).

A. 19.25

B. 19.30

C. 21.32

D. 21.34

9- Two dice are thrown simultaneously, what is the probability of getting a sum of 10 or 8?

A. \(\frac{1}{18}\)

B. \(\frac{2}{18}\)

C. \(\frac{1}{12}\)

D. \(\frac{2}{9}\)

10- What is the perimeter of a square in centimeters that has an area of 870.25 cm\(^2\)? Write your answer in the blank. (don’t write the measurement)

11- The perimeter of the trapezoid below is 42 cm. What is its area?

A. 91

B. 98

C. 130

D. 140

12- A swimming pool holds 924 cubic feet of water. The swimming pool is 21 feet long and 11 feet wide.
How deep is the swimming pool?
Write your answer in the blank. (Don’t write the measurement)

13- Which of the following shows the numbers in ascending order?
\(38\%\),0.52,\(\frac{1}{10}\),\(\frac{2}{5}\)

A.\(\frac{2}{5}\),0.38,0.52

B. 0.38,\(\frac{2}{5}\),\(40\%\),\(\frac{1}{5}\)

C. 0.52,\(\frac{2}{5}\),\(38\%\),\(\frac{1}{10}\)

D. \(\frac{1}{10}\),\(38\%\),\(\frac{2}{5}\),0.52

14- The area of a circle is less than \(36 π\). Which of the following can be the circumference of the circle?

A. \(10 π\)

B. \(15 π\)

C. \(17 π\)

D. \(18 π\)

15- What is the volume of a box with the following dimensions?
Hight = 6 cm
Width = 5.5 cm
Length = 9 cm

A. 247.5

B. 294

C. 295.5

D. 297

16- The average of five numbers is 32. If a sixth number that is greater than 50 is added, then, which of the following could be the new average? (Select one or more answer choices)

A. 32

B. 33

C. 36

D. 38

17- The width of a box is one-fifth of its length. The height of the box is one second of its width. If the length of the box is 45 cm, what is the volume of the box?

A. 1550.5 cm \(^3\)

B. 1795.5 cm \(^3\)

C. 1822.5 cm \(^3\)

D. 1910.5 cm \(^3\)

18- If \(50 \%\) of A is \(80 \%\) of B, then B is what percent of A?

A. \(6.25\%\)

B. \(62.5\%\)

C. \(160\%\)

D. \(200\%\)

19- What is the equivalent temperature of 95\(^\circ\)F in Celsius?
\(C=\frac{5}{9}(F-32)\)

A. 33

B. 35

C. 38

D. 40

20- A bank is offering \(3.25\%\) simple interest on a savings account. If you deposit $75,00, how much interest will you earn in six years?

A. $1462.5

B. $1482.5

C. $1562.5

D. $1582.5

21- What is the value of \(\frac{6^4}{3^2}\)?
Write your answer in the box below.

22- 57 is What percent of 95?

A. \(50\%\)

B. \(60\%\)

C. \(70\%\)

D. \(72\%\)

23- The perimeter of the trapezoid below is 72. What is its area?

A. 196

B. 200

C. 204

D. 208

24- What is the value of \(x,y\) in the following system of equations?
\(4x+2y=-9\)
\(-2x-2y=-7\)

A. \((-8,\frac{23}{2})\)

B. \((8,\frac{23}{2})\)

C. \((-8,-\frac{23}{2})\)

D. \((8,-\frac{23}{2})\)

25- In the xy-plane, the point \((0,1)\) and \((1,0)\) are on line A. Which of the following points could also be on line A?

A. \((1,2)\)

B. \((-1,2)\)

C. \((2,1)\)

D. \((3,1)\)

26- How long does a 540–miles trip take moving at 75 miles per hour (mph)?

A. 7 hours and 12 minutes

B. 8 hours

C. 7 hours and 24 minutes

D. 9 hours

27- three-fifth of 22 is equal to \(\frac{3}{7}\) of what number?

A. 28.5

B. 29.4

C. 30

D. 30.8

28- The marked price of a computer is D dollar. Its price decreased by \(15\%\) in January and later increased by \(10\%\) in February. What is the final price of the computer in D dollars?

A. \(90\%\)

B. \(93.5\%\)

C. \(95.2\%\)

D. \(96\%\)

29- A $45 shirt now selling for $34 is discounted by what percent?

A. \(20\%\)

B. \(22.5\%\)

C. \(24.44\%\)

D. \(25.55\%\)

30- Which of the following could be the product of two consecutive prime numbers?

A. 2

B. 5

C. 9

D. 15

E. 35

31- The ratio of boys to girls in a school is \(3:5\). If there are 664 students in a school, how many boys are in the school? Write your answer in the blank.

32- Sophia purchased a sofa for $440. The sofa is regularly priced at $550. What was the percent discount Sophia received on the sofa?

A. \(20\%\)

B. \(22\%\)

C. \(24\%\)

D. \(25\%\)

33- The score of Emma was half as that of Ava and the score of Mia was three times that of Ava. If the score of Mia was 48, what is the score of Emma?

A. 7

B. 8

C. 10

D. 16

34- A die is rolled, and a coin is tossed, find the probability that the die shows an odd number and the coin shows a head.

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

B. \(\frac{1}{3}\)

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

D. 1

35- The average of five consecutive numbers is 30. What is the smallest number?

A. 28

B. 30

C. 32

D. 35

36- How many tiles of 10 cm\(^2\) are needed to cover a floor of dimension 8 cm by 20 cm?

A. 10

B. 12

C. 14

D. 16

37- A rope weighs 500 grams per meter in length. What is the weight in kilograms of 9.6 meters of this rope? (1 kilograms = 1000 grams)

A. 4.5 kg

B. 4.8 kg

C. 5 kg

D. 5.6 kg

38- A chemical solution contains \(2.5\%\) alcohol. If there are 30 ml of alcohol, what is the volume of the solution?

A. 1000 ml

B. 1200 ml

C. 1250 ml

D. 1400 ml

39- The average weight of 15 girls in a class is 62 kg and the average weight of 28 boys in the same class is 70 kg. What is the average weight of all the 43 students in that class?

A. 58

B. 65.22

C. 67.21

D. 69.72

40- The price of a laptop is decreased by \(12\%\) to $385. What is its original price?

A. $425.5

B. $432.5

C. $437.5

D. $443.8

41- What is the median of these numbers? \(22,14,15,62,18,16,14\)

A. 16

B. 18

C. 20

D. 22

42- What is the surface area of the cone?

A. 2309.79

B. 2550

C. 2552.2

D. 2625

43- In 2000, the average worker’s income increased by $2,100 per year starting from a $22,000 annual salary. Which equation represents income greater than average? (\(I =\) income, \(x =\) number of years after 2000).

A. \(I < 2100x + 22000\)

B. \(I > 2100x – 22000\)

C. \(I > -2100x – 22000\)

D. \(I > 2100x + 22000\)

44- From last year, the price of gasoline has increased from $1.05 per gallon to $1.65 per gallon. The new price is what percent of the original price?

A. \(155\%\)

B. \(157\%\)

C. \(160\%\)

D. \(162\%\)

45- A boat sails 20 miles south and then 15 miles east. How far is the boat from its start point?

A. 20

B. 22

C. 24

D. 25

46- Which graph corresponds to the following inequalities?
\( y>2x , y≥-x+2\)

A.

B.

C.

D.

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