Free Printable ACT Math lessons

1.

[-3+x]=12

a)

-9

b)

9

c)

-15

d)

15

2.

convert 2 5ths into a decimal

a)

0.75

b)

0.25

c)

0.4

d)

0.33

3.

Convert .375 into a fraction

a)

12/36

b)

6/11

c)

4/5

d)

3/8

4.

Convert 66% into a fraction

a)

75/100

b)

33/50

c)

33/66

d)

66/100

5.

Solve: 3/4 x 2/5=?

a)

3/10

b)

15/8

c)

8/15

d)

6/20

6.

Solve: 1/3 divide 2/5=?

a)

15/8

b)

5/6

c)

8/15

d)

2/15

7.

Solve: 1/3 + 4/3=?

a)

3/12

b)

3/5

c)

4/6

d)

5/3

8.

Solve: 4/15 - 1/6=?

a)

-3/9

b)

1/10

c)

3/9

d)

3/30

9.

Convert this mixed number 2 1/3 into a improper fraction

a)

3/7

b)

1

c)

7/3

d)

4/3

10.

What is 30% of 60?

a)

30

b)

18

c)

50

d)

24

11.

What is 25% of 5 3/4?

a)

37/100

b)

5 3/4

c)

1 7/16

d)

2 3/16

e)

12

12.

Yelling at the members of his team, who had just lost 21-0, the irate coach pointed his finger at each member of the squad and called every player either a wimp or a slacker. if there were 3 wimps for every, 4 slackers and every member of the 28-person squad was either a wimp of slacker, how many wimps were there?

a)

7

b)

12

c)

28

d)

16

13.

Trying to get Wille to turn down his stereo, his mother pounds on the celling and shouts up to his bedroom. If she pounds seven times for every five times she shouts, which of the following could be the total number of pounding and shouts?

a)

75

b)

57

c)

48

d)

35

e)

30

14.

solve 5^3

a)

-25

b)

25

c)

1/5^3

d)

1/25

15.

Solve 5^4 x 5^9=?

a)

25^13

b)

5^13

c)

25^36

d)

5^36

16.

Solve 5^9 ÷ 5^3=?

a)

1^6

b)

5^6

c)

5^3

d)

1^3

17.

Solve (5^3)^2=?

a)

30

b)

5^5

c)

15^2

d)

5^6

18.

Solve 37x^3 + 10x^3=?

a)

not solvable

b)

47^9

c)

47^6

d)

47x^3

19.

Solve by adding

3x+4y-7z

2x-2y+8z

-x+3y+6z

a)

4x+3y+7z

b)

-5x-15y-336z

c)

5y+7z

d)

unsolvable

20.

Solve 2x^2-3xy-6y^2-4x^2-6xy+2y^2

a)

6x^2+3xy-8y^2

b)

2x^2-3xy-6y^2+4x^2+6xy-2y^2

c)

-6x^3xy-8^2

d)

6x+3-8y

21.

Solve 4x(x-3)=?

a)

4x-12-x(x-3)

b)

-12x

c)

-1x

d)

4x^2-12x

22.

Solve 16x^2=4x/4x

a)

4x-1

b)

16x^2/4x

c)

4x+1

d)

1x

23.

Which of the following is a possible sum of the two solutions for the equation x^2-11x+30=0

a)

-17

b)

-11

c)

-1

d)

1

e)

11

24.

Find x

a)

12

b)

11x-4

c)

3

d)

3x-36

25.

Find the area of a triangle that has a base of 12 and a height of 25.

a)

200

b)

300

c)

150

d)

75

e)

125

26.

Find the perimeter of a equilateral triangle of a base of 12 and both sides are 13.

a)

25

b)

38

c)

150

d)

31

27.

Find x

a)

15

b)

10

c)

12

d)

14

28.

True or false the interior angles of any quadrilateral total 360 degrees. You can also cut any quadrilateral into two 180 degree triangles.

a)

true

b)

false

29.

Find the area of this square.

a)

15

b)

10

c)

25

d)

20

e)

30

30.

Solve the area of this square.

a)

50

b)

80

c)

20

d)

100

e)

40

31.

Find the Area

a)

24

b)

48

c)

6

d)

2

e)

14

32.

Find the area

a)

74

b)

64

c)

20

d)

84

e)

36

33.

Find the area

a)

100

b)

64

c)

60

d)

120

e)

225

34.

Find the area

a)

96.48

b)

48.24

c)

107.12

d)

50

e)

109.18

35.

Find the area

a)

11

b)

7

c)

10

d)

8

e)

9

36.

Find the area of the shaded portion of the circle inscribed in the square.

a)

5-2π

b)

6-2π

c)

6-π

d)

5-π

e)

3.14

37.

Find the size of each interior angle of this polygon

a)

45

b)

540

c)

21

d)

360

e)

108

38.

find the sum of interior angles for this polygon

a)

720

b)

360

c)

180

d)

108

e)

540

39.

Find the volume

a)

15

b)

60

c)

125

d)

25

e)

65

40.

find the volume

a)

120

b)

80

c)

64

d)

729

e)

144

41.

Find the volume

a)

160π

b)

640π

c)

480π

d)

360π

e)

394π

42.

Find the surface area of this cylinder.

a)

15π

b)

48π

c)

27π

d)

30π

e)

18π

43.

find the area

a)

20π

b)

14π

c)

49π

d)

50π

e)

35π

44.

Find the circumference

a)

144π

b)

50π

c)

28π

d)

49π

e)

14π

45.

How many times will this wheel rotate going 60 mph for one hour.

a)

5280

b)

7247.49

c)

318600

d)

36960

e)

840.76

46.

Find the arc AB

a)

90

b)

75.398

c)

9.424

d)

24π

e)

45

47.

Find the area of a sector

a)

90

b)

14.137

c)

12

d)

36

e)

28.27

48.

What does SOH stand for in SOH CAH TOA?

a)

sine=hypotenuse/adjacent

b)

Cosine=adjacent/hypotenuse

c)

sine= opposite/hypotenuse

d)

tangent=opposite/adjacent

49.

What does CAH stand for in SOH CAH TOA?

a)

cosine=opposite/adjacent

b)

cosine=adjacent/hypotenuse

c)

sine=opposite/hypotenuse

d)

tangent=opposite/adjacent

50.

What does TOA stand for in SOH COA TOA?

a)

Tangent=adjacent/opposite

b)

tangent=hypotenuse/opposite

c)

Tangent=opposite/adjacent

d)

tangent=hypotenuse/adjacent

51.

There are NOT reciprocal trig functions of SOH CAH TOA

a)

True

b)

False

52.

Find tan 45 degree

a)

√2

b)

√2/2

c)

1/√2

d)

0

e)

1

53.

How to tell which side of a right triangle is adjacent, and which one is opposite.

(a)

54.

In the unit of a circle any angle between 0 degrees and 90 degrees (quadrant 1) has what sine and cosines?

a)

negative sine and a negative cosine

b)

a negative sine and a positive cosine

c)

positive sine and positive cosine

d)

positive sine and negative cosine

55.

In a unit of a circle what does 2π equal

a)

0 degrees

b)

90 degrees

c)

180 degrees

d)

270 degrees

e)

360 degrees

56.

y=?

a)

y=cosx

b)

y=sinx

c)

y=tanx

57.

What does y=?

a)

y=cosx

b)

y=sinx

c)

y=tanx

58.

What does y=

a)

y=cosx

b)

y=sinx

c)

y=tanx

59.

If sin25°= cosØ then angle Ø could equal

a)

-335°

b)

-295°

c)

-115°

d)

25°

e)

395°

60.

Find x

a)

8.36

b)

9

c)

7.96

d)

8

e)

40

61.

Find m

a)

25°

b)

50.6°

c)

45.5°

d)

105°

e)

15°

62.

Find x

a)

8.6

b)

4.9

c)

6.5

d)

9.1

e)

12.3

63.

What does i² equal

a)

-1

b)

-√-1

c)

1

d)

√-1

64.

i=?

a)

-1

b)

-√-1

c)

√-1

d)

1

65.

i³=?

a)

1

b)

√-1

c)

-1

d)

-√-1

66.

i^4=?

a)

√-1

b)

-1

c)

-√-1

d)

1

67.

Simply the following equation (3i-4)+(5i-6)=?

a)

15i²-38i+24

b)

15i²-18i-20i+24

c)

10i-8

d)

18i

e)

8i-10

68.

Simply the following equation (3i-4)(5i-6)=?

a)

38i+9

b)

15²-18i-20i+24

c)

28+9

d)

15²-38i+24

e)

-38i+9

69.

Simply the following equation (3i-4)/5i=?

a)

12i-5

b)

25-15i/20

c)

25-20i/15

d)

20-15i/-25

e)

15-20i/-25

70.

Simply the following equation (3i-4)/(5i-6)

a)

38i-9/61

b)

-38i+9/61

c)

38i+9/-61

d)

38i-9/61

e)

-38i+9/-61

71.

Solve the equation 2√7 + 5√7=

a)

unsolvable

b)

7√49

c)

7√7

d)

10√49

e)

7√14

72.

solve 6√3 x 4√2 =?

a)

24√6

b)

33√4

c)

21√3

d)

60

e)

unsolvable

73.

Rationalize the following 1/√2 x √2/2=?

a)

4

b)

1

c)

√2/√2

d)

√2/2

e)

2/√2

74.

Solve the following equation √x²/40 + x²/9

a)

7x/11.3

b)

7x

c)

7x/18.97

d)

7x/22.36

e)

7x/6

75.

Find x in logx 16= 4

a)

4

b)

8

c)

6

d)

10

e)

2

76.

Which one is a logarithm product rule?

a)

logb(1)=0

b)

logb (c)= 1/logc(b)

c)

logb(x^y)= y x logb(x)

d)

logb(x/y)= logb(x)- logb(y)

e)

logb(xy)= logb (x) + logb(y)

77.

which is logarithm quotient rule

a)

logb(x/y) = logb(x) - logb (y)

b)

logb(x^y)= y x logb(x)

c)

logb(b)=1

d)

logb(1)=0

e)

logb(c)=1/logc(b)

78.

Which is logarithm power rule

a)

logb (xy)= logb (x)+ logb (y)

b)

logb (c)= 1/logc (b)

c)

logb(b)=1

d)

logb(1)=0

e)

logb(x^y)= y x logb (x)

79.

Which is logarithm base switch rule

a)

logb(1)=0

b)

logb(b)=0

c)

logb (x/y)= logb(x)- logb(y)

d)

logb(c)=1/logc(b)

e)

logb(xy0= logb(x) + logb(y)

80.

Solve f(x +y)= [2(x+y)]²

(a)

81.

Find the midpoint

a)

(1/2,2)

b)

(2,-1/2)

c)

(-1/2,2)

d)

(-1/2,-2)

e)

(1/2,-2)

82.

Find the distance between these two points

a)

16.2

b)

8

c)

8.1

d)

15.7

e)

15.6

83.

Find the slope of this line

a)

0

b)

1

c)

1/2

d)

-1/2

e)

2

84.

Find the equation of this line

a)

y=2x+1

b)

y=2x+-1/2

c)

y=-2x-1

d)

y=2x-1/2

e)

y=2x-1

85.

What is the question of a line with the slope -2/3 and a y-intercept of 7?

a)

3x+2y=21

b)

-2x+3y=14

c)

2x-3y=21

d)

2x+3y=14

e)

2x+3y=21

86.

Which one represents this graph correctly?

a)

y>2x-4

b)

y<2x-4

c)

y≤2x-4

d)

y≥2x-4

87.

Which equation is the standard form equation of a parabola

a)

(-b-4ac)

b)

y=ax²+bx+c

c)

y=mx+b

d)

x=-b/2a

e)

y=a(x-h)²+k

88.

What is the general form equation of a parabola?

a)

(-b²-4ac)

b)

y=mx+b

c)

y=(x-h)²+k

d)

x=-b/2a

e)

y=ax²+bx+c

89.

How do you find the axis of symmetry?

a)

y=mx+b

b)

(-b²-4ac)

c)

x=-b/2a

d)

y=ax²+bx+c

e)

y=(x-h)²+k

90.

What is the discriminant formula to the general form?

a)

(-b²-4ac)

b)

y=mx+b

c)

x=-2b/2a

d)

y=(x-h)²+k

e)

y=ax²+bx+c

91.

What is the equation of a circle on a graph?

a)

(x-h)² + (y-k)²=r

b)

a=πr²

c)

c=2πr

d)

(x-h)²/a² + (y-k)²/b² =1

e)

x²+y²=r²

92.

What is the standard equation of an ellipse?

a)

(x-h)²+(y-k)²=r²

b)

(x-h)²/a² - (y-k)²/b² =1

c)

A=πab

d)

x²+y²=r²

e)

(x-h)²/a² + (y-k)²/b² =1

93.

What is the equation for a hyperbola?

a)

(x-h)²+(y-k)²=r²

b)

(x-h)²/a² + (y-k)²/b² =1

c)

x²+y²=r²

d)

(x-h)²/a² - (y-k)²/b² =1

e)

A=πab

94.

What is the vertex of the graph of the equation y=-2(x-3)²+4

a)

(-3,-4)

b)

(3,4)

c)

(3,-4)

d)

(-3,4)

e)

(-6,-4)

95.

What is the equation of a circle with the coordinate point (5,-1) as its center and a radius of 6.

a)

(x-5)²+(y+1)²=6

b)

(x-5)²+(y-1)²=36

c)

(x-5)²+(y+1)²=36

d)

(x+5)²+(y-1)²=12

e)

(x-5)²-(y+1)²=36

96.

Find f(3) on the coordinate plane.

a)

(3,13)

b)

(25,3)

c)

(13,3)

d)

(3,25)

e)

(3,18)

97.

What type of function is this? f(x)=x+1

a)

first degree function

b)

second degree function

c)

third degree function

d)

fourth degree function

e)

fifth degree function

98.

What type of function is this? F(x)= x²+3x+3

a)

first degree function

b)

second degree function

c)

third degree function

d)

fourth degree function

e)

fifth degree function

99.

What type of function is this? x³+5x²+7x+2

a)

First degree function

b)

second degree function

c)

third degree function

d)

fourth degree function

e)

fifth degree function

100.

In 2010, coach Denges won 20 prizes at the country fair tossing a basketball into a bushel basket. In 2011, he won 25 prizes. What was in his percent increase?

a)

100

b)

30

c)

25

d)

20

e)

16 2/3

101.

A jar of marbles has been 8 yellow marbles, 6 black marbles, and 12 white marbles. What is the probability of drawing out a black marble?

a)

1/6

b)

3/13

c)

4/13

d)

6/13

e)

1

102.

What is the probability of rolling a 5 or 6 on one roll of one dice?

a)

2/3

b)

1/6

c)

2/6

d)

1/3

e)

1/5

103.

What is the probability of drawing a playing card that displays a club or a queen.

a)

1/26

b)

17/52

c)

4/13

d)

4/169

e)

2/13

104.

What is the probability of rolling a 5 and a 6 on one roll of two dice?

a)

1/24

b)

2/13

c)

3/24

d)

5/24

e)

1/12

105.

A candy machine contains gumballs three blue, two red, seven yellow, and one purple. The machine distribute one gumball for each dime. A child has exactly two dimes with which she will purchase two gumballs. What is the chance that the child will get two red gumballs?

a)

2/169

b)

1/13

c)

2/13

d)

1/156

e)

1/78

106.

How many possible five-number lock combinations you can lock you can create from the ten possible 1 digit numbers when the order of the lock combination doesn't matter and no number is repeated.

a)

120

b)

150

c)

240

d)

40

e)

252

107.

Alice received a bracelet with four distinct removable charms. How many different ways can she arrange the four charms on her new bracelet?

a)

4

b)

8

c)

24

d)

100

e)

40,320

108.

a)

230

b)

200

c)

232

d)

228

e)

225

109.

Find the 9th term in the sequence 2,8,32, 128...

a)

300,000

b)

66,684

c)

130,052

d)

65,356

e)

131,072

110.

What is the sum of this sequence of numbers, when the nth term is 46?

3,8,13,18,23,28,33...

a)

5311

b)

5300

c)

5331

d)

5135

e)

5313

111.

solve

a)

15

b)

20

c)

30

d)

25

e)

24

112.

solve

a)

160

b)

180

c)

200

d)

220

e)

240

ACT Math lessons

Total questions: 112

Worksheet time: 2hrs 52mins

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