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Karla ACT Math/Science Practice

Total questions: 86

Worksheet time: 59mins

Name
Class
Date
1.
When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x² – 3y ?
a)
4
b)
14
c)
16
d)
20
2.
What is the value of x when 2x + 3 = 3x – 4 ?
a)
-7
b)
-1/5
c)
1/5
d)
7
3.
The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?
a)
l = 2w + 3
b)
 l =  w – 3
c)
l = 2w – 3
d)
 l =  w + 3
4.
Choose the letter that represents the missing length in the figure
a)
12
b)
10
c)
7
d)
6
5.
What is the slope of any line parallel to the line 9x + 4y = 7 ?
a)
-9
b)
7
c)
(9/7)
d)
-(9/7)
6.
A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?
a)
$56.00
b)
$77.60
c)
$50.00
d)
$44.00
7.
If n = 8 and 16· 2‴ = 4″⁻⁸, then m = ?
a)
-2
b)
-4
c)
0
d)
8
8.
What type of number is 5/8?
a)
Rational
b)
Irrational
c)
both
d)
neither
9.
What is 4% of 80?
a)
320
b)
32
c)
3.2
d)
0.032
10.
Find the measure of ∠ACD. 
a)
130
b)
115
c)
65
d)
50
11.
a)
4
b)
12
c)
3
d)
72
12.
What is the greatest common factor of 42, 126, and 210 ?
a)
2
b)
6
c)
21
d)
42
13.
The 4 integers j,j,k,n must have an average of 0. Which of the following equations must be true?
a)
k=n
b)
k=-j
c)
k+n=-2j
d)
k+n=0
14.
Daphne always make sure to bring coupons to the store.  While shopping for cookies, she finds a box discounted by 12% from it normal price of $4.30. Daphne has a coupon that takes an additional 4% off the already discounted price.  After the sales tax of 6% on the final price, how much does Daphne spend on the box of cookies.
a)
$3.78
b)
$3.63
c)
$$3.85
d)
$3.59
15.
If x is divisible by 3 and y is divisible by 5, which of the following must be divisible by 15?
I.  xy          
II.  3x + 5y
III.  5x + 3y
a)
I only
b)
I and II only
c)
I and III only
d)
I, II, and III
16.
Which one of the following expressions has an even integer value for all integers a and c ?
a)
8a+2ac
b)
3a+3c
c)
2a+c
d)
ac+a²
17.
In a set of 5 points, the mean, median, and mode are each equal to 8.  Which of the following could be the data set?
a)
5,7,8,8,12
b)
7,7,8,8,12
c)
7,8,8,8,12
d)
7,8,8,10,12
18.
In a certain sequence of numbers, each term after the 1st term is the result of adding 2 to the previous term and multiplying that sum by 3.  If the 4th term in the sequence is 186, what is the 2nd term?
a)
2
b)
4
c)
18
d)
60
19.
How many 4 letter orderings, where no letters are repeated, can be made using the letters of the word BADGERS
a)
4
b)
256
c)
840
d)
2401
20.
The point (24,3) on a standard (x,y) coordinate plane is halfway between points (z, 2z+1) and (15z, z-4). What is the value of z?
a)
1
b)
1.5
c)
3
d)
7
21.
At the company YouGroove, 35 employees work in the sales department and 50 employees work in the operations department.  Of these employees, 15 work in both sales and operations.  How many of the 110 employees at YouGroove do NOT work in either the sales or the operations departments?
a)
10
b)
15
c)
35
d)
40
22.

A car averages 27 miles per gallon. If gas costs $4.04 per gallon, which of the following is closest to how much the gas would cost for this car to travel 2,727 typical miles?

a)

$44.44

b)

$109.08

c)

$118.80

d)

$408.04

e)

$444.40

23.

When x = 3 and y = 5, by how much does the value of 3x2 – 2y exceed the value of 2x2 – 3y ?

a)

4

b)

14

c)

16

d)

20

e)

50

24.

What is the value of x when 2x + 3 = 3x – 4 ?

a)

-7

b)

-1/5

c)

1

d)

1/5

e)

7

25.

What is the greatest common factor of 42, 126, and 210 ?

a)

2

b)

6

c)

14

d)

21

e)

42

26.

Sales for a business were 3 million dollars more the second year than the first, and sales for the third year were double the sales for the second year. If sales for the third year were 38 million dollars, what were sales, in millions of dollars, for the first year?

a)

16

b)

17.5

c)

20.5

d)

22

e)

35

27.

In the figure, ray EF was constructed starting from rays ED and EG. By using a compass D and G were marked equidistant from E on rays ED and EG. The compass was then used to locate a point F, distinct from E, so that F is equidistant from D and G. For all constructions defined by the above steps, the measures of ∠DEF and ∠GEF:

a)

are equal.

b)

are NOT equal

c)

sum to 30°.

d)

sum to 45°.

28.

Abandoned mines frequently fill with water. Before an abandoned mine can be reopened, the water must be pumped out. The size of pump required depends on the depth of the mine. If pumping out a mine that is D feet deep requires a pump that pumps a minimum of (D^2/25)+ 4D – 250 gallons per minute, pumping out a mine that is 150 feet deep would require a pump that pumps a minimum of how many gallons per minute?

a)

362

b)

500

c)

800

d)

1250

e)

1750

29.

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

a)

l = (1/2)w + 3

b)

l = 2w + 3

c)

l = 2w - 3

d)

l = w - 3

30.

A typical high school student consumes 67.5 pounds of sugar per year. As part of a new nutrition plan, each member of a track team plans to lower the sugar he or she consumes by at least 20% for the coming year. Assuming each track member had consumed sugar at the level of a typical high school student and will adhere to this plan for the coming year, what is the maximum number of pounds of sugar to be consumed by each track team member in the coming year?

a)

14

b)

44

c)

48

d)

54

31.

If xy = 144, x + y = 30, and x > y, what is the value of x – y ?

a)

4

b)

6

c)

18

d)

24

32.

Which of the following is the sine of angle A in the right triangle below?

a)

5\13

b)

5\12

c)

12\13

d)

12\5

33.

Ding’s Diner advertised this daily lunch special: “Choose 1 item from each column—only $4.95!” Thus, each daily lunch special consists of a salad, a soup, a sandwich, and a drink.

a)

4

b)

14

c)

30

d)

120

34.

The volume, V, of the right circular cone with radius r and height h, shown below, can be found using the formula V = (1/3)r2h. A cone-shaped paper cup has a volume of 142 cubic centimeters and a height of 8.5 centimeters. What is the radius, to the nearest centimeter, of the paper cup?

a)

2

b)

4

c)

8

d)

12

35.

A boat departs Port Isabelle, Texas, traveling to an oil rig. The oil rig is located 9 miles east and 12 miles north of the boat’s departure point. About how many miles is the oil rig from the departure point?

a)

3

b)

15

c)

21

d)

225

36.

In the figure below, ∠ ABC ≅ ∠ DFE, ∠ BAC ≅ ∠ FDE, D and F are on AB, AD ≅ FB, and distances in centimeters are as shown. What is the length of AD, in centimeters?

a)

5

b)

4

c)

3

d)

2

37.

A DVD player with a list price of $100 is marked down 30%. If John gets an employee discount of 20% off the sale price, how much does John pay for the DVD player ?

a)

$86.00

b)

$77.60

c)

$56.00

d)

$50.00

38.
a)

decrease, because soil quality is likely to increase.

b)

decrease, because soil quality is likely to decrease.

c)

increase, because soil quality is likely to increase.

d)

increase, because soil quality is likely to decrease.

e)

Suppose a new crop rotation for Field B included legumes and other deep-rooted and high-residue crops. The SOM of this field will most likely change in which of the following ways? The SOM will:

39.
a)

Yes; based on SOM, Field B had a soil quality rating of fair and Field A had a soil quality rating of poor.

b)

Yes; based on SOM, Field B had a soil quality rating of excellent and Field A had a soil quality rating of fair.

c)

No; based on SOM, Field B had a soil quality rating of poor and Field A had a soil quality rating of fair.

d)

No; based on SOM, Field B had a soil quality rating of fair and Field A had a soil quality rating of excellent.

e)

As soil quality improves, the number of earthworms increases. Students hypothesized that more earthworms would be found in Field B. Are the data presented in

Table 2 consistent with this hypothesis?

40.
a)

Field A in Year 1

b)

Field A in Year 3

c)

Field B in Year 4

d)

Field B in Year 5

e)

If 8 tons or fewer in crop yields were considered a failed harvest, in which year and in which field would there have been a failed harvest?

41.
a)

Figure 1

b)

Figure 2

c)

Table 1

d)

Table 2

e)

Q: Which set of data best supports the claim that Field A has lower soil quality than Field B?

42.
a)

Field A Field A

b)

Field B Field B

c)

Field A Field B

d)

Field B Field A

e)

Based on Figures 1 and 2, consider the average bulk density and the average crop yields for Fields A and B over the study period. Which site had the lower average crop yield, and which site had the higher average bulk density?

Lower crop yield Higher bulk density

43.
a)

H2O was produced.

b)

H2 was produced.

c)

Fe was produced.

d)

FeO was produced.

e)

In the experiments shown in

Table 1 and Figure 1, by measuring the rate at which Fe2O3 was formed every day, the experimenters could also measure the rate at which:

44.
a)

less than 0.56 g

b)

between 0.59 g and 0.72 g.

c)

between 1.23 g and 1.84 g.

d)

greater than 1.84 g.

e)

Table 1, if the amount of Fe2O3 produced on Day 9 had been measured for the salt solution, it would most likely have been:

45.
a)

0.08 g

b)

0.11 g

c)

0.19 g

d)

0.30 g

e)

According to Table 1, what was the amount of Fe2O3 produced by the sugar solution from the time the amount was measured on Day 6 until the time the amount was measured on Day 8?

46.
a)

Day 10

b)

Day 6

c)

Day 3

d)

Day 1

e)

Consider the amount of Fe2O3 produced by the salt solution on Day 2. Based on Table 1 and Figure 1, the water buffered to pH = 10.0 produced approximately the same amount of Fe2O3 on which of the following days?

47.

You should preview the questions before reading the passage.

a)

True

b)

False

48.

Which of the following is NOT something you should do when first reading the passage?

a)

Briefly glance at tables and graphs

b)

Examine diagrams or schematics

c)

Glance at questions to see what to find

d)

Skim introductory paragraphs for main ideas

49.

How are the questions for a passage generally arranged?

a)

chronologically

b)

easier to more difficult

c)

complicated to simple

d)

difficult to easier

50.
Which passage should you tackle first?
a)
the first passage in the test
b)
the conflicting viewpoints passage
c)
the one that seems the most complicated
d)
the one you find easiest to handle
51.
Guessing on the ACT test is strongly discouraged.
a)
True
b)
False
52.

"Compound"

Which of the following is the best definition for this word?

a)

a substance made up of more than one element

b)

a liquid or gas

c)

the force that attracts an object towards the center of the earth

d)

a section of DNA that determines inheritance

53.

"Boiling Point"

Which of the following is the best definition for this word?

a)

a liquid or a gas

b)

the temperature when a liquid becomes a gas

c)

rate of change in distance with respect to time

d)

heat transfer as a result of fluid movement

54.

"Element"

Which of the following is the best definition for this word?

a)

elements of an experiment that are controlled to remain the same

b)

a substance composed of atoms with the same atomic number which cannot be split into smaller substances

c)

substances that participate in a chemical reaction

d)

mass per volume of a substance

55.

"Density"

Which of the following is the best definition for this word?

a)

quantity of heat energy

b)

substances that participate in a chemical reaction

c)

quantity of a body's matter

d)

mass per volume of a substance

56.

"Buoyancy"

Which of the following is the best definition for this word?

a)

quantity of a body's matter

b)

measure of mass

c)

ability to float

d)

mass per volume of a substance

57.

"Neutron"

Which of the following is the best definition for this word?

a)

smallest unit of a chemical component

b)

fundamental atom particle that has no charge

c)

fundamental atom particle that has a negative charge

d)

energy of an object due to its motion

58.

"Herbivor"

Which of the following is the best definition for this word?

a)

an animal that eats only plants

b)

an animal that eats only other animals

c)

an animal that eats both plants and other animals

d)

a plant that "eats" bugs for additional nutrients

59.

"Abiotic"

Which of the following is the best definition for this word?

a)

study of a cell

b)

study of living things

c)

with/ of life

d)

without life/ not living

60.

"Calorie"

Which of the following is the best definition for this word?

a)

a quantity of heat energy

b)

quantity of energy per food molecule

c)

quantity of sugar per gram of food

d)

evil

61.

"Molecule"

Which of the following is the best definition for this word?

a)

fundamental atom particle that has a positive charge

b)

second smallest unit of a chemical compound

c)

smallest unit of a chemical compound

d)

chemical compound that is always composed of several different atoms

62.

Match the prefix with its meaning.

"a-"

a)

one

b)

without

c)

with

d)

by itself

63.

Match the prefix with its meaning.

"macro-"

a)

large

b)

small

c)

biggest

d)

smallest

64.

Match the prefix with its meaning.

"super-" / "sur-"

a)

greatest

b)

below, beneath

c)

above, upon

d)

heroes!

65.

Match the prefix with its meaning.

"deca-"

a)

twelve

b)

ten

c)

one hundred

d)

one thousand

66.

Match the prefix with its meaning.

"inter-"

a)

among

b)

between

c)

go in

d)

exit

67.

Match the suffix with its meaning.

"-graph"

a)

representation of data

b)

instrument for making records

c)

instrument for directing experiments

d)

results of an experiment

68.

Match the suffix with its meaning.

"-meter"

a)

measure

b)

evaluate

c)

distance

d)

height

69.

Match the suffix with its meaning.

"-pod/ -ped"

a)

a grouping

b)

type of animal

c)

foot

d)

measure of population

70.

Match the suffix with its meaning.

"-logy"

a)

involving logic/reason

b)

study of something

c)

measure of something

d)

involving experiments

71.

Match the suffix with its meaning.

"-sect"

a)

a grouping

b)

a measure of people

c)

cut

d)

examine

72.
How many questions are on the science test?
a)
35
b)
40
c)
45
d)
30
73.
How much time do you have?
a)
5 minutes
b)
30 minutes
c)
35 minutes
d)
40 minutes
74.

It is suggested that you spend an average of _____ minutes total per passage and items.

a)

4-7

b)

5-8

c)

8-11

d)

6-9

75.

When x = 3 and y = 5, by how much does the value of 3x² – 2y exceed the value of 2x²– 3y ?

a)

14

b)

4

c)

20

d)

16

e)

50

76.

The length, in inches, of a box is 3 inches less than twice its width, in inches. Which of the following gives the length, l inches, in terms of the width, w inches, of the box?

a)

l = w + 3

b)

l = undefined w + 3

c)

l = 2w – 3

d)

l = 2w + 3

e)

l =  w – 3

77.

What is the greatest common factor of 42, 126, and 210 ?

a)

2

b)

6

c)

14

d)

210

e)

42

78.

How many irrational numbers are there between 1 and 6 ?

a)

3

b)

10

c)

1

d)

4

e)

infinitely many

79.

What is the degree measure of the acute angle formed by the hands of a 12-hour clock that reads exactly 1 o’clock?

a)

15°

b)

30°

c)

45°

d)

60°

e)

80°

80.

Which of the following statements must be true whenever n, a, b, and c are positive integers such that n < a, c > a, and b > c ?

a)

b – n > a –n

b)

a < n

c)

b < n

d)

n + b = a + c

e)

2n > a + b

81.

What is the probability that a number selected at random from the set {2, 3, 7, 12, 15, 22, 72, 108} will be divisible by both 2 and 3 ?

a)

35\frac{3}{5}  

b)

58\frac{5}{8}  

c)

78\frac{7}{8}  

d)

 

undefined

e)

14\frac{1}{4}  

82.

A circle has a circumference of 16 π\pi   feet. What is the radius of the circle, in feet?

a)

8\sqrt{8}  

b)

8

c)

16

d)

24

e)

32

83.

A rectangle with a perimeter of 30 centimeters is twice as long as it is wide. What is the area of the rectangle in square centimeters?

a)

15

b)

25

c)

50

d)

100

e)

125

84.

Which of the following orders the numbers 0.6, 0.07 , and

34\frac{3}{4}   from least to greatest?

a)

0.6 < 0.07 < undefined

b)

0.07 < 0.6 < undefined

c)

0.07 < undefined < 0.6

d)

undefined < 0.07 < 0.6

e)

undefined < 0.6 < 0.07

85.

What is x, the second term in the geometric series  14\frac{1}{4} +  x  +  136\frac{1}{36} +  1108\frac{1}{108} + ... ?
(Note: In a geometric series the ratio of any term to the following term is constant.)


a)

19\frac{1}{9}  

b)

116\frac{1}{16}  

c)

118\frac{1}{18}  

d)

13\frac{1}{3}  

e)

112\frac{1}{12}  

86.

What is the slope of any line parallel to the line 9x + 4y = 7 ?

a)

-9

b)


- 94\frac{9}{4}

c)

7

d)

9

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