# Full-Length HiSET Math Practice Test

Taking a Full-length HiSET 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 HiSET 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 HiSET Math practice test to simulate the test day experience. After you’ve finished, score your tests using the answer keys.**Good luck!**

**Time to refine your Math skill with a practice test**

Take a REAL HiSET Mathematics test to simulate the test day experience. After you’ve finished, score your test using the answer key.

**Before You Start**

- You’ll need a pencil, a calculator, and a timer to take the test.
- It’s okay to guess. You won’t lose any points if you’re wrong. So be sure to answer every question.
- After you’ve finished the test, review the answer key to see where you went wrong.
**Calculators are permitted for HiSET Math Test.**- Use the answer sheet provided to record your answers.
- The HiSET Mathematics test contains a formula sheet, which displays formulas relating to geometric measurement and certain algebra concepts. Formulas are provided to test- takers so that they may focus on application, rather than the memorization, of formulas.
- For each multiple-choice question, there are five possible answers. Choose which one is best.

**Good Luck!**

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## HiSET Math Practice Test

**50 questions****Total time for this section: **90 Minutes*You may use a calculator for this test.*

1- What is the area of a square whose diagonal is 6?

A. 12

B. 18

C. 24

D. 36

E. 60

2- Right triangle ABC has two legs of lengths 5 cm (AB) and 12 cm (AC). What is the length of the third side (BC)?

A. 7 cm

B. 13 cm

C. 10 cm

D. 17 cm

E. 21 cm

3- The score of Emma was half as that of Ava and the score of Mia was twice that of Ava. If the score of Mia was 80, what is the score of Emma?

A. 20

B. 40

C. 60

D. 80

E. 160

4- In five successive hours, a car travels 70 km, 75 km, 60 km, 85 km, and 80 km. In the next five hours, it travels with an average speed of 60 km per hour. Find the total distance the car traveled in 10 hours.

A. 430 km

B. 600 km

C. 630 km

D. 670 km

E. 900 km

5- What is 7.5% of 1,400?

A. 75

B. 105

C. 140

D. 1050

E. 1250

6- How long does a 375–miles trip take moving at 60 miles per hour (mph)?

A. 6 hours

B. 6 hours and 15 minutes

C. 6 hours and 25 minutes

D. 7 hours and 15 minutes

E. 9 hours and 25 minutes

7- 45 is What percent of 30?

A. 25 %

B. 65 %

C. 125 %

D. 150 %

E. 180 %

8- What is the value of \(x\) in the following figure?

A. 45

B. 55

C. 125

D. 135

E. 145

9- The ratio of boys to girls in a school is 3:4. If there are 350 students in a school, how many boys are in the school?

A. 150

B. 262

C. 300

D. 466

E. 950

10- Two-thirds of 15 is equal to \(\frac{4}{5}\) of what number?

A. 6

B. 9

C. 30

D. 12.5

E. 75

11- Solve for \(x:3(x-1)-15=2(x+4)\)

A. 8

B. 12

C. 18

D. 24

E. 26

12- If \(50\%\) of A is \(25\%\) of B, then B is what percent of A?

A. \(2\%\)

B. \(25\%\)

C. \(200\%\)

D. \(250\%\)

E. \(300\%\)

13- Solve: \((3x + 4y)(2x – 5y) =\)?

A. \(6x^2- 14xy + 2y^2\)

B. \(6x^2 – 7xy – 20y^2\)

C. \(8x^2 + 14xy -9y^2\)

D. \(8x^2 + 14xy – 2y\)

E. \(20x^2 – 14xy + 3y^2\)

14- Which of the following expressions is equivalent to \(-3x(2y-5)\)?

A. \(6xy+8x\)

B. \(-5xy-8x\)

C. \(3xy+15\)

D. \(15x-6xy\)

E. \(4xy+8x\)

15- If \(x = 2ab -2b^3\), what is y when \(a = 5\) and \(b = 2\)?

A. 3

B. 4

C. 11

D. 15

E. 28

16- The price of a laptop is decreased by \(24\%\) to $285. What is its original price?

A. $68.4

B. $320

C. $375

D. $480

E. $595

17- The perimeter of the trapezoid below is 45. What is its area?

A. \(90 cm^2\)

B. \(135 cm^2\)

C. \(225 cm^2\)

D. \(234 cm^2\)

E. \(352 cm^2\)

18- The marked price of a computer is D dollar. Its price decreased by \(25\%\) in January and later increased by \(15\%\) in February. What is the final price of the computer in D dollars?

A. 0.80 D

B. 0.852 D

C. 0.8625 D

D. 1.25 D

E. 1.65 D

19- The radius of the following cylinder is 5 inches and its height is 11 inches. What is the surface area of the cylinder?

A. \(55 π\)in\(^2\)

B. \(110 π\)in\(^2\)

C. \(160 π\)in\(^2\)

D. \(275 π \)in\(^2\)

E. \(320 π \)in\(^2\)

20- The average of 11, 16, 21 and \(x\) is 15. What is the value of \(x\) ?

A. 8

B. 12

C. 15

D. 20

E. 24

21- The average of five consecutive numbers is 72. What is the smallest number?

A. 14

B. 36

C. 65

D. 70

E. 85

22- The price of a sofa is decreased by \(20\%\) to $240. What was its original price?

A. $48

B. $192

C. $280

D. $300

E. $360

23- What are the zeros of the function: \(f(x)=x^3+9x^2+20x\)?

A. \(0\)

B. \(– 3, – 5\)

C. \(0, -4, -5\)

D. \(4, 5\)

E. \(0, – 2, -5\)

24- The area of a circle is \(36 π\). What is the circumference of the circle?

A. \(6 π\)

B. \(8 π\)

C. \(12 π\)

D. \(72 π\)

E. \(124 π\)

25- What is the median of these numbers? \(3, 13, 11, 4, 8, 17, 6\)

A. 4

B. 8

C. 13

D. 15

E. 17

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26- In 1999, the average worker’s income increased by $1,500 per year starting from a $17,000 annual salary. Which equation represents income greater than average? (I = income, x = number of years after 1999)

A. \(I > -1500 + 17000\)

B. \(I > 1500 – 17000\)

C. \(I > 1500 + 17000\)

D. \(I < 1500 – 17000\)

E. \(I < 17000 + 1500\)

27- If the height of a right pyramid is 15 cm and its base is a square with a side \(4 cm\). What is its volume?

A. 60 cm\(^3\)

B. 80 cm\(^3\)

C. 120 cm\(^3\)

D. 300 cm\(^3\)

E. 900 cm\(^3\)

28- From last year, the price of gasoline has increased from $1.2 per gallon to $1.8 per gallon. The new price is what percent of the original price?

A. \(67\%\)

B. \(120\%\)

C. \(145\%\)

D. \(150\%\)

E. \(175\%\)

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

A. 10

B. 14

C. 21

D. 35

E. 56

30- Sophia purchased a sofa for $360. The sofa is regularly priced at $400. What was the percent discount Sophia received on the sofa?

A. \(5\%\)

B. \(8\%\)

C. \(10\%\)

D. \(15\%\)

E. \(20\%\)

31- The price of a car was $34,000 in 2016, $25,500 in 2017 and $19,125 in 2018. What is the rate of depreciation of the price of the car per year?

A. \(10\%\)

B. \(20\%\)

C. \(25\%\)

D. \(35\%\)

E. \(45\%\)

32- A boat sails 50 miles south and then 120 miles east. How far is the boat from its start point?

A. 70 miles

B. 110 miles

C. 135 miles

D. 130 miles

E. 150 miles

33- The width of a box is one-fourth of its length. The height of the box is one-third of its width. If the length of the box is 24 cm, what is the volume of the box?

A. 48 cm\(^3\)

B. 169 cm\(^3\)

C. 288 cm\(^3\)

D. 365 cm\(^3\)

E. 780 cm\(^3\)

34- A $80 shirt now selling for $60 is discounted by what percent?

A. \(20\%\)

B. \(25\%\)

C. \(30\%\)

D. \(40\%\)

E. \(50\%\)

35- How many possible outfit combinations come from five shirts, two slacks, and seven times?

A. 7

B. 14

C. 15

D. 70

E. 95

36- When a number is subtracted from 18 and the difference is divided by that number, the result is 2. What is the value of the number?

A. 2

B. 6

C. 9

D. 12

E. 36

37- An angle is equal to one-fourth of its supplement. What is the measure of that angle?

A. 25

B. 35

C. 36

D. 45

E. 90

38- John traveled 180 km in 3 hours and Alice traveled 350 km in 7 hours. What is the ratio of the average speed of John to the average speed of Alice?

A. 5: 2

B. 3: 7

C. 5: 7

D. 6: 5

E. 7: 3

39- If \(65\%\) of a class are girls, and \(20\%\) of girls play tennis, what percent of the class play tennis?

A. \(10\%\)

B. \(13\%\)

C. \(15\%\)

D. \(45\%\)

E. \(85\%\)

40- What is the value of in the following system of equation?

\(-2x+5y=9\)

\(x-2y= -6\)

A. \(– 1\)

B. \(– 3\)

C. 0

D. 3

E. 5

41- How many tiles of 60 cm\(^2\) are needed to cover a floor of dimension 180 cm by 240 cm?

A. 12

B. 80

C. 120

D. 720

E. 920

42- A rope weighs 700 grams per meter of length. What is the weight in kilograms of 15.8 meters of this rope? (1 kilograms = 1000 grams)

A. 0.1106

B. 11.06

C. 110.6

D. 1,160

E. 11,600

43- A chemical solution contains \(16\%\) alcohol. If there are 60 ml of alcohol, what is the volume of the solution?

A. 3.75 ml

B. 9.6 ml

C. 37.5 ml

D. 375 ml

E. 3750 ml

44- The average weight of 38 girls in a class is 50 kg and the average weight of 22 boys in the same class is 68 kg. What is the average weight of all the 60 students in that class?

A. 56.6

B. 59

C. 61.2

D. 65.4

E. 79.2

45- A bank is offering \(3.6\%\) simple interest on a savings account. If you deposit $17,000, how much interest will you earn in five years?

A. $612

B. $720

C. $2,750

D. $3,060

E. $5,300

46- A ladder leans against a wall forming a \(60^\circ\) angle between the ground and the ladder. If the bottom of the ladder is 12 feet away from the wall, how long is the ladder?

A. 9 feet

B. 15 feet

C. 24 feet

D. 32 feet

E. 60 feet

47- Multiply and write the product in scientific notation: \((4.7 × 10^8) × (3.4 × 10^{−4})\)

A. \(8.1 × 10\)

B. \(81 × 10^{-1}\)

C. \(15.98 × 10^{4}\)

D. \(1.598 × 10^{4}\)

E. \(15.98 × 10^{-32}\)

48- In a coordinate plane, triangle ABC has coordinates: \((-1,4)\), \((5,1)\), and \((1,-6)\). If triangle ABC is reflected over the \(y\)-axis, what are the coordinates of the new image?

A. \((1, 4), (-5, 1), (−1, −6)\)

B. \((−1, −4), (5, −1), (1, 6)\)

C. \((1, -4), (-5, -1), (-1, 6)\)

D. \((1, -4), (−5, 1), (1, -6)\)

E. \((1, 4), (5, 1), (1, 6)\)

49- Calculate the value of \(x\) for the right triangle shown below.

A. 2 ft

B. 6 ft

C. 10 ft

D. 14 ft

E. 16 ft

50- A bag contains 14 balls: three green, four black, seven blue, a brown, a red, and one white. If 13 balls are removed from the bag at random, what is the probability that a red ball has been removed?

A. \(\frac{1}{14}\)

B. \(\frac{1}{13}\)

C. \(\frac{13}{14}\)

D. \(\frac{14}{13}\)

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

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### HiSET Math Workbook 2020 – 2021 The Most Comprehensive Review for the Math Section of the HiSET Test

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