Free Full Length ATI TEAS 6 Practice Test

Full Length ATI TEAS 6 Practice Test

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ATI TEAS 6 Mathematics Practice Test 4

 
36 questions
Total time for this section: 54 Minutes
Calculator is allowed for the test.

1- What is the sum of 410 + 32 + 35?
(A) 2.5
(B) 1.25
(C) 0.15
(D) 243
2- If x + y=12, what is the value of 8 x + 8 y?
(A) 54
(B) 96
(C) 78
(D) 98
3- If a rectangle is 25 feet by 50 feet, what is its area?
(A) 1,250
(B) 750
(C) 1,450
(D) 690
4- If 4 + x  12, then x  ?
(A) 6
(B) 8
(C) 15
(D) 10 x
5- The width of a garden is 5.48 yards. How many meters is the width of that garden?
(A) 4.06 m
(B) 56.7 m
(C) 5.01 m
(D) 125.02 m
6- How many meters is 35,489 centimeters?
(A) 35.489 m
(B) 3.5489 m
(C) 354.8900 m
(D) 354.8.900 m
7- If x is 20% percent of 300, what is x?
(A) 85
(B) 60
(C) 65.5
(D) 74
8- The oven temperature reaches 75 C. what’s is the temperature in degree Fahrenheit?
C = 47 (F – \ 35)
(A) 166^\circ F
(B) 75^\circ F
(C) 90^\circ F
(D) 145^\circ F
9- In five successive hours, a car travels 35 km, 50 km, 40 km, 45 km and 55 km. In the next five hours, it travels with an average speed of 55 km per hour. Find the total distance the car traveled in 10 hours.
(A) 450 km
(B) 640 km
(C) 505 km
(D) 470 km
10- Solve the proportion. \frac{4.5}{7.5} \ = \ \frac{x}{3.4}
(A) 2.04
(B) 4.86
(C) 5.236
(D) 72.236
11- The equation of a line is given as: y \ = \ 2x \ - \ 5 . Which of the following points does not lie on the line?
(A) (2 , 4)
(B) (- \ 5 , - \ 15)
(C) (4 , 3)
(D) (3 , 1)
12- The sum of 5 numbers is greater than 150 and less than 300. Which of the following could be the average (arithmetic mean) of the numbers?
(A) 30
(B) 60
(C) 45
(D) 25
13- Ashly is 12 miles ahead of Jack running at 4.5 miles per hour and Jack is running at the speed of 6 miles per hour. How long does it take Jack to catch Ashly?
(A) 6 hours
(B) 10 hours
(C) 8 hours
(D) 3 hours
14- A bread recipe calls for 3 \frac{  1}{3} cups of flour. If you only have 2 \ \frac{5}{6} cups, how much more flour is needed?
(A) \frac{1}{3}
(B) \frac{1}{5}
(C) \frac{1}{7}
(D) \frac{1}{2}
15- A swimming pool holds 2,400 cubic feet of water. The swimming pool is 20 feet long and 15 feet wide. How deep is the swimming pool?
(A) 8
(B) 4
(C) 9
(D) 14
16- \frac{(15 \ feet \ + \ 7 \ yards)}{4} = ___
(A) 10 feet
(B) 9 feet
(C) 15 feet
(D) 27 feet
17- If a = 6, what is the value of b in the following equation?
b = \frac{a^2}{3} \ + \ c
(A) 10 \ + c
(B) 8\ + c
(C) 18\ + c
(D) 12\ + c
18- 4 feet, 12 inches + \ 6 feet, 15 inches equals to how many inches?
(A) 144 inches
(B) 165 inches
(C) 210 inches
(D) 180 inches
19- The equation of a line is given as : y = 4 \ x \ – \ 2. Which of the following points does not lie on the line?
(A) (1, 2) 
(B) (−3, −14)
(C) (3, 8)
(D) (5, 18)
20- If a circle has a radius of 24 feet, what’s the closest approximation of its circumference?
(A) 151
(B) 140
(C) 157
(D) 195
21- If two angles in a triangle measure 65 degrees and 75 degrees, what is the value of the third angle?
(A) 55 degrees
(B) 35 degrees
(C) 70 degrees
(D) 40 degrees
22- The following pie chart shows the time Jennifer spent to work on his homework last week. The total time Jennifer spent on his homework last week was 20 hours. How much time did Jennifer spend on Biology last week?
ATI_TEAS
(A) 5 hours
(B) 8 hours
(C) 2 hours
(D) 3 hours
23- The distance between cities A and B is approximately 4,80 miles. If you drive an average of 24 miles per hour, how many hours will it take you to drive from city A to city B?
(A) 15 hours
(B) 20 hours
(C) 10 hours
(D) 8 hours
24- In a certain bookshelf of a library, there are 60 biology books, 45 history books, and 75 language books. What is the ratio of the number of biology books to the total number of books in this bookshelf?
(A) \frac{1}{3}
(B) \frac{1}{4}
(C) \frac{1}{2}
(D) \frac{1}{5}
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25- The circumference of a circle is 20 cm. what is the approximate radius of the circle?
(A) 4.15 cm
(B) 3.18 cm
(C) 7.520 cm
(D) 2.25 cm
26- At a Zoo, the ratio of lions to tigers is 4 to 3. Which of the following could NOT be the total number of lions and tigers in the zoo?
(A) 105
(B) 49
(C) 77
(D) 81
27- The following pie chart shows the expenses of Mr.Smith’s family in December.The total expenses in December was $4,200.How much did Mr. Smith’s family spend on rent?
ATI_TEAS1
(A) $\ 1,500
(B) $\ 700
(C) $\ 1,134
(D) $\ 600
28- I’ve got 22 quarts of milk and my family drinks 2 gallons of milk per week. How many weeks will that last us?
(A) 2.75 weeks
(B) 5 weeks
(C) 4.5 weeks
(D) 3.25 weeks
29- The following pie chart shows the expenses of Mr. Jackson’s family in December.The total expenses in December was $6,200.What percent of the expenses goes for bills and foods combined?
ATI_TEAS2
(A) 31% 
(B) 31\% 
(C) 26\% 
(D) 23\% 
(E) 40\% 
30- A football team won exactly 60\% of the games it played during last session. Which of the following could be the total number of games the team played last season?
(A) 45
(B) 26
(C) 42
(D) 36
31- What is the value of the expression 4 \ (x \ - \ 3y) \ + \ (3 \ - \ x)^{2} when
x \ = \ 2  and  = -3 ?
(A) 36
(B) 45
(C) 26
(D) 32
32- In a bundle of 60 pencils, 25 are red and the rest are blue. What percent of the bundle is composed of blue pencils?
(A) 32\%
(B) 45\%
(C) 32\%
(D) 58\%
33- A card is drawn at random from a standard 52–card deck, what is the probability that the card is of Clubs? (The deck includes 13 of each suit clubs, diamonds, hearts, and spades)
(A) \frac{1}{3}
(B) \frac{1}{4}
(C) \frac{1}{7}
(D) \frac{1}{5}
34- If a gas tank can hold 35 gallons, how many gallons does it contain when it is \frac{3}{5} full?
(A) 32
(B) 38
(C) 21
(D) 12
35- 4 liters of water are poured into an aquarium that's 10 cm long, 4 cm wide, and 40 cm high. How many cm will the water level in the aquarium rise due to this added water? (1 liter of water = 1,000 cm3)
(A) 100
(B) 10
(C) 70
(D) 25
36- Mary (M) is 5 years older than her friend Ashly (A) who is 2 years younger than her sister Lucy (L). If M, A and L denote their ages, which one of the following represents the given information?
(A) \begin{cases}M=A \ + \ 5\\A=L \ - \ 2\end{cases}
(B) \begin{cases}M=A \ + \ 5\\L=A \ - \ 2 \end{cases}
(C) \begin{cases}M=A \ + \ 5\\A=L \ + \ 2\end{cases}
(D) \begin{cases}A=M \ + \ 5\\L=A \ - \ 2\end{cases}
1- Choice A is correct

The correct answer is 2.5
\frac{4}{10} \ + \ \frac{3}{2} \ + \ \frac{3}{5} = \frac{4 \ + \ 15 \ + \ 6}{10} = \frac{25}{10} = \frac{5}{2} = 2.5

2- Choice B is correct

The correct answer is 96
x \ + \ y = 12, Then: 8 \ x \ + \ 8 \ y = 12 \ × \ 8 = 96

3- Choice A is correct

The correct answer is 1,250
Area of a rectangle = width × length = 25 \ × \ 50 =1,250

4- Choice B is correct

The correct answer is 8
4 \ + \ x \ ≥ \ 12x \ ≥ \ 12 \ – \ 4x \ ≥ \ 8

5- Choice C is correct

The correct answer is 5.01 m
m = \frac{yd}{1.0936} → m = \frac{5.48}{1.0936} = 5.010912 ≅ 5.01

6- Choice C is correct

The correct answer is 354.8900 m
1 meter = 100 centimeters
35,489 \ × \ 0.01 = 354.89

7- Choice B is correct

The correct answer is 60
\frac{20}{100} \ × \ 300 = 60

8- Choice A is correct

The correct answer is 166^\circ F
Plug in 75 for C int the equation: 75 = \frac{4}{7} (F – \ 35)
525 = 4 F – \ 140
525 \ + \ 140 = 4 F
\frac{525 \ + \ 140}{4} = F
\frac{665}{4} = F
F =166

9- Choice C is correct

The correct answer is 505 km
Add the first 5 numbers.
35 \ + \ 50 \ + \ 40 \ + \ 45 \ + \ 60 =230
To find the distance traveled in the next 5 hours, multiply the average by number of hours.
Distance = Average × Rate = 55 \ × \ 5 = 275
Add both numbers. 275 \ + \ 230 = 505

10- Choice A is correct

The correct answer is 2.04
\frac{4.5}{7.5} = \frac{x}{3.4}  \ → x = \frac{4.5 \ × \ 3.4}{7.5} = \frac{15.3}{7.5} = 2.04

11- Choice A is correct

The correct answer is (2, 4)
Let’s review the choices provided. Put the values of x and y in the equation.
A. (2, 4)            ⇒ x = 2 ⇒ y = - \ 1            This is not true!
B. (−5, −15)   ⇒ x = -5 ⇒ y = -15    This is true!
C. (4, 3)          ⇒ x = 4 ⇒ y = 3           This is true!
D. (3, 1)            ⇒ x = 3 ⇒ y = 1             This is true!

12- Choice C is correct

The correct answer is 45
Let x be the average of numbers. Then:
\frac{150}{5} \ < \ x \ < \ \frac{300}{5}
30 \ < \ x \ < \ 60
From choices provided, only 45 is correct.

13- Choice C is correct

The correct answer is 8  hours
The distance between Ashly and Jack is 12 miles.
Ashly running at 4.5 miles per hour and Jack is running at the speed of 6 miles per hour.
Therefore, every hour the distance is 1.5 miles less.
12 \ ÷ \ 1.5 = 8

14- Choice D is correct

The correct answer is \frac{1}{2}
3 \ \frac{1}{2} \ − \ 2 \ \frac{5}{6} = 3 \ + \ \frac{1}{3} \ - \ 2 \ - \ \frac{5}{6} = \frac{1}{2}

15- Choice A is correct

The correct answer is 8
Volume = length × width × height
2400 = 20 \ × \ 15 \ × height height = 8

16- Choice B is correct

The correct answer is 9 feet
yards = 12 feet
\frac{(15 feet +7 yrds)}{4} = \frac{(15 feet +21 feet)}{4} = \frac{(36 feet)}{4} = 9 feet

17- Choice D is correct

The correct answer is 12 \ + \ c
If a = 6  then: b = \frac{6^{2}}{3} \ + \ c ⇒ 
b = \frac{6^{2}}{3} \ + \ c = 12 \ + \ c

18- Choice A is correct

The correct answer is 144 inches
1 foot = 12 inches
4 feet, 12 inches = 60 inches
6 feet, 15 inches = 84 inches
60 \ + \ 84 =144

19- Choice C is correct

The correct answer is (3, 8)
Let’s review the choices provided. Put the values of x and y in the equation.
A. (1, 2)              ⇒ x = 1y = 2                This is true!
B. (−3, −14)       ⇒ x = -3y = -14       This is true!
C. (3, 8)            ⇒ x = 3y = 10                This is not true!
D. (5, 18)              ⇒ x = 5y = 18            This is true!
Only choice C does not work in the equation.

20- Choice A is correct

The correct answer is 151
Circumference = 2 \ π \ r →
Circumference = 2 \ (3.14) \ (24) = 150.72 \cong 151

21- Choice D is correct

The correct answer is 40 degrees
All angles in a triangle sum up to 180 degrees.
65 \ + \ 75 = 140
180 \ – \ 140 = 40, The third angle is 40 degrees.

22- Choice D is correct

The correct answer is 3 hours
Jennifer spent 15\% of his total time (20 hours) on Biology.
Then: \frac{15}{100} \ × \ 20 = 3

23- Choice B is correct

The correct answer is approximately 20 hours
Speed = \frac{distance}{time}
24 = \frac{4,80}{time}→ tme =\frac{4,80}{24} = 20

24- Choice A is correct

The correct answer is \frac{1}{3}
Number of biology book: 60, total number of books; 60 \ + \ 45 \ + \ 75=180
the ratio of the number of biology books to the total number of books is: \frac{60}{180}=\frac{1}{3}

25- Choice B is correct

The correct answer is 3.18 cm
C = 2  \ π \  r
20 = 2 \  π \  r
r = \frac{20}{2 \ π} = 3.18

26- Choice D is correct

The correct answer is 81
The ratio of lions to tigers is 4 to 3 at the zoo.
Therefore, total number of lions and tigers must be divisible by 7.
4 \ +3 \ =7
From the numbers provided, only 81 is not divisible by 7.

27- Choice C is correct

The correct answer is $1,134
$4,200 \ × \frac {27}{100} = $1,134

28- Choice A is correct

The correct answer is 2.75 Weeks
1 quart = 0.25 gallon
22 quarts = 22 \ × \ 0.25 = 5.5 gallons
then: \frac{5.5}{2} = 2.75 weeks

29- Choice D is correct

The correct answer is 23\%
13\% \ + \ 10\%=23\%

30- Choice A is correct

The correct answer is 45\%
Choices B, C, and D are incorrect because 60\% of each of the numbers is a non-whole number.
A. 45       60\% of 45 = 0.60 \ × \ 45=27
B. 26       60\% of 26=0.60 \ × \ 26=15.6
C. 42       60\% of 42=0.60 \ × \ 42=25.2
D. 36       60\% of 36=0.60 \ × \ 36=21.6

31- Choice B is correct

The correct answer is 45
4 \ (x \ - \ 3 \ y)+(3 \ - \ x)^2 = 4 \ ((2) \ - \ 3 \ (-3)) \ + \ (3 \ - \ (2))^2 = 4 \ (11) \ + \ (1)^2 = 44 \ + \ 1 = 45

32- Choice D is correct

The correct answer is 58\%
60 \ – \ 25 = 35
\frac{35}{60} = 0.58
0.58 \ × \ 100\% = 58\%

33- Choice B is correct

The correct answer is \frac{1}{4}
The probability of choosing a Hearts is \frac{13}{52}=\frac{1}{4}

34- Choice C is correct

The correct answer is 21
\frac{3}{5} \ × \ 35=\frac{105}{5}=21

35- Choice A is correct

The correct answer is 100
One liter =1000 cm^3      → 4 liters=4,000 cm^3
4,000=10 \ × \ 4 \ × \ h      →h=\frac{4000}{40}=100 cm

36- Choice A is correct

The correct answer is \begin{cases}M=A \ + \ 4\\A=L \ - \ 3\end{cases}

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