# Full-Length TASC Math Practice Test

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

## The Absolute Best Book to Ace the TASC Math Test

Time to refine your quantitative reasoning skill with a practice test

In this section, there are two complete TASCT Mathematics practice tests. Take these tests to simulate the test day experience. After you’ve finished, score your tests using the answer keys.

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 only permitted for the first section of the TASC Test.
• The TASC 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 four possible answers. Choose which one is best. For grids in questions, write your answer in the answer boxes at the top of the grid. Then, as shown below fill in a bubble under each box in which you wrote your answer.

Good Luck!

## TASC Mathematics Practice Test

#### TASC MathematicsPractice Test 1Section 1

(Calculator)
40 questions
Total time for this section: 50 Minutes
You may use a calculator on this Section.

1- What is the value of $$5^5$$?

☐A. 125

☐B. 3,125

☐C. 3,300

☐D. 6,680

2- How many tiles of 12 cm$$^2$$ is needed to cover a floor of dimension 9 cm by 16 cm?

☐A. 10

☐B. 12

☐C. 16

☐D. 20

3- Find the average of the following numbers: 14, 11, 5, 19, 24,17

☐A. 15

☐B. 16

☐C. 17

☐D. 19

4- Right triangle ABC has two legs of lengths 6 cm (AB) and 8 cm (AC). What is the length of the third side (BC)?

☐A. 5 cm

☐B. 8 cm

☐C. 10 cm

☐D. 12 cm

5- When a number is subtracted from 36 and the difference is divided by that number, the result is 5. What is the value of the number?

☐A. 3

☐B. 4

☐C. 6

☐D. 8

6- 75 is What percent of 50?

☐A. $$30\%$$

☐B. $$50\%$$

☐C. $$130\%$$

☐D. $$150\%$$

7- The price of a car was $25,000 in 2016,$20,000 in 2017 and $16,000 in 2018. What is the rate of depreciation of the price of car per year? ☐A. $$10\%$$ ☐B. $$20\%$$ ☐C. $$30\%$$ ☐D. $$35\%$$ 8- In 1999, the average worker’s income increased$1,800 per year starting from $21,000 annual salary. Which equation represents income greater than average? (I = income, $$x$$ = number of years after 1999) ☐A. $$I > 1800 x + 21000$$ ☐B. $$I > – 1800 x + 21000$$ ☐C. $$I < –1800 x + 21000$$ ☐D. $$I < 1800 x – 21000$$ 9- The price of a sofa is decreased by $$12\%$$ to$528. What was its original price?

☐A. $480 ☐B.$560

☐C. $600 ☐D.$750

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

☐A. 20

☐B. 25

☐C. 30

☐D. 35

11- If $$80\%$$ of A is $$40\%$$ of B, then B is what percent of A?

☐A. $$30\%$$

☐B. $$60\%$$

☐C. $$200\%$$

☐D. $$350\%$$

12- A rope weighs 450 grams per meter of length. What is the weight in kilograms of 9.8 meters of this rope? (1 kilograms = 1000 grams)

☐A. 0.0441

☐B. 4.41

☐C. 44.10

☐D. 4,410

13- John traveled 120 km in 5 hours and Alice traveled 168 km in 6 hours. What is the ratio of the average speed of John to average speed of Alice?

☐A. 3 : 2

☐B. 2 : 5

☐C. 5 : 7

☐D. 6 : 7

14- A taxi driver earns $14 per 1-hour work. If he works 10 hours a day and in 1 hour, he uses 3-liters petrol with price$2 for 1-liter. How much money does he earn in one day?

☐A. $60 ☐B.$70

☐C. $80 ☐D.$90

15- The price of a laptop is decreased by $$15\%$$ to $476. What is its original price? ☐A. 360 ☐B. 400 ☐C. 460 ☐D. 560 16- If $$60\%$$ of a class are girls, and $$20\%$$ of girls play tennis, what percent of the class play tennis? ☐A. $$10\%$$ ☐B. $$12\%$$ ☐C. $$15\%$$ ☐D. $$30\%$$ 17- The area of a circle is less than $$81π$$. Which of the following can be the circumference of the circle? (Select one or more answer choices) ☐A. $$15π$$ ☐B. $$19π$$ ☐C. $$25π$$ ☐D. $$30π$$ 18- A chemical solution contains $$3.5\%$$ alcohol. If there is 49 ml of alcohol, what is the volume of the solution? ☐A. 390 ml ☐B. 490 ml ☐C. 800 ml ☐D. 1400 ml 19- Which of the following values for $$x$$ and $$y$$ satisfy the following system of equations? $$\begin{cases}x-3y=9 \\ 3x+y=6\end{cases}$$ ☐A. $$x=3,y=-2$$ ☐B. $$x=5,y-2$$ ☐C. $$x=-3,y=2$$ ☐D. $$x=-3,y=-2$$ 20- 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. 80 cm$$^3$$ ☐B. 180 cm$$^3$$ ☐C. 288 cm$$^3$$ ☐D. 580 cm$$^3$$ 21- A$30 shirt now selling for $24 is discounted by what percent? ☐A. $$15\%$$ ☐B. $$20\%$$ ☐C. $$30\%$$ ☐D. $$45\%$$ 22- How many possible outfit combinations come from five shirts, two slacks, and six ties? ☐A. 20 ☐B. 40 ☐C. 60 ☐D. 80 23- A bank is offering $$3.2\%$$ simple interest on a savings account. If you deposit$14,000, how much interest will you earn in five years?

☐A. $270 ☐B.$680

☐C. $1,750 ☐D.$2,240

24- If the area of trapezoid is 96 cm$$^2$$, what is the perimeter of the trapezoid?

☐A. 40 cm

☐B. 50 cm

☐C. 63 cm

☐D. 75 cm

25- How long does a 486–miles trip take moving at 60 miles per hour (mph)?

☐A. 6 hours

☐B. 8 hours and 6 minutes

☐C. 8 hours and 24 minutes

☐D. 9 hours and 6 minutes

26- 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 50, what is the score of Emma?

☐A. 11

☐B. 12.5

☐C. 25

☐D. 75

27- In the xy-plane, the point $$(5,2)$$ and $$(3,6)$$ are on line A. Which of the following points could also be on line A? (Select one or more answer choices)

☐A. $$(1,3)$$

☐B. $$(2,8)$$

☐C. $$(3,5)$$

☐D. $$(-2,-4)$$

28- The surface area of a cylinder is $$144π cm^2$$. If its height is 21 cm, what is the radius of the cylinder?

☐A. 3 cm

☐B. 12 cm

☐C. 17 cm

☐D. 18 cm

29- One fourth of 20 is equal to $$\frac{2}{3}$$ of what number?

☐A. 7.5

☐B. 14

☐C. 18.5

☐D. 20

30- 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 dollar?

☐A. 0.80 D

☐B. 0.8525 D

☐C. 0.8625 D

☐D. 1.2045 D

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

☐A. 5

☐B. 12

☐C. 35

☐D. 45

32- The average of six consecutive numbers is 16.5 . What is the smallest number?

☐A. 14

☐B. 15

☐C. 16

☐D. 22

33- Which of the following lists shows the fractions in order from least to greatest?
$$\frac{1}{4}, \frac{3}{7}, \frac{2}{5}, \frac{5}{8}$$

☐A. $$\frac{1}{4}, \frac{5}{8}, \frac{3}{7}, \frac{2}{5}$$

☐B. $$\frac{1}{4}, \frac{2}{5}, \frac{3}{7}, \frac{5}{8}$$

☐C. $$\frac{2}{5}, \frac{1}{4}, \frac{3}{7}, \frac{5}{8}$$

☐D. $$\frac{3}{7}, \frac{2}{5}, \frac{1}{4}, \frac{5}{8}$$

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

☐A. 60 miles

☐B. 70 miles

☐C. 110 miles

☐D. 130 miles

35- The ratio of boys and girls in a class is $$2:5$$. If there are 49 students in the class, how many more boys should be enrolled to make the ratio $$1:1$$?

☐A. 12

☐B. 15

☐C. 20

☐D. 21

36- In five successive hours, a car travels 30 km, 35 km, 40 km, 35 km and 50 km. In the next five hours, it travels with an average speed of 45 km per hour. Find the total distance the car traveled in 10 hours.

☐A. 415 km

☐B. 420 km

☐C. 480 km

☐D. 420 km

37- Sophia purchased a sofa for $600. The sofa is regularly priced at$750. What was the percent discount Sophia received on the sofa?

☐A. $$15\%$$

☐B. $$18\%$$

☐C. $$20\%$$

☐D. $$30\%$$

38- A bag contains 25 balls: four green, six black, eight blue, five brown, a red and one white. If 24 balls are removed from the bag at random, what is the probability that a red ball has been removed?

☐A. $$\frac{1}{6}$$

☐B. $$\frac{1}{5}$$

☐C. $$\frac{16}{25}$$

☐D. $$\frac{24}{25}$$

39- The average weight of 25 girls in a class is 48 kg and the average weight of 30 boys in the same class is 60 kg. What is the average weight of all the 55 students in that class?

☐A. 50

☐B. 54.54

☐C. 62.8

☐D. 65.54

40- What is the median of these numbers? $$11, 7, 15, 21, 5, 17, 13$$

☐A. 7

☐B. 11

☐C. 13

☐D. 15

#### TASC MathematicsPractice Test 1Section 2

(No Calculator)
12 questions
Total time for this section: 55 Minutes You may NOT use a calculator on this Section

41- The average of $$12, 17, 23$$ and $$x$$ is 15. What is the value of $$x$$?

42- $$-12-3×(–4)+[4-9×(-2)]÷2-5=$$ ?

43- If$$-4x+7=19$$, What is the value of $$3x-4$$ ?

44- What is the area of an isosceles right triangle that has one leg that measures 12?

45- A construction company is building a wall. The company can build 15 cm of the wall per minute. After one hours $$\frac{2}{3}$$ of the wall is completed. How many meters is the wall?

46- From last year, the price of gasoline has increased from $1.32 per gallon to$1.83 per gallon. The new price is what percent of the original price?

47- A ladder leans against a wall forming a 60$$^\circ$$ angle between the ground and the ladder. If the bottom of the ladder is 30 feet away from the wall, how many feet is the ladder?

48- The volume of cube A is $$\frac{1}{2}$$ of its surface area. What is the length of an edge of cube A?

49- The perimeter of the trapezoid below is 51. What is its area?

50- What is the value of $$f(3)$$ for the following function f?
$$f(x)=-x^2+5x$$

51- If $$\frac{x-3}{5}=N$$ and $$N=6$$, what is the value of $$x$$?

52- If the ratio of $$6a$$ to $$5b$$ is $$\frac{2}{5}$$ , what is the ratio of $$a$$ to $$b$$?

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