Free Printable FDOL INT III

1.

What is 2³x2⁴

a)

2⁷

b)

2¹²

2.

What is 4⁶÷4²

a)

4³

b)

4⁴

3.

What is 7.2³x7.2²

a)

7.2⁶

b)

7.2⁵

4.

What is a⁸÷a³

a)

a³

b)

a⁴

c)

a⁵

d)

a⁶

5.

What is b³xb⁴÷b²?

a)

b⁷

b)

b⁵

c)

b⁶

d)

b^2.5

6.

What is 10⁶÷10²x10⁵

a)

10¹⁵

b)

10⁸

c)

10⁹

d)

10²⁰

7.

What is x⁵÷x

a)

x⁵

b)

x⁴

c)

x³

d)

x²

8.

What is (x²)⁷

a)

x¹⁴

b)

x⁹

9.

What is (x⁷)⁵÷x¹⁰

a)

x²⁵

b)

x^2.5

c)

x^-2

10.

What type of set is denoted as either { } or ∅?

a)

Superset

b)

Disjointed Set

c)

Empty (or Null) Set

d)

Subset

11.

Find n(A) when

A = {14, 16, 18, 20, 22, 24}

a)

6

b)

4

c)

12

d)

even numbers

12.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∪ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

13.

If A = {1, 3, 5, 7, 9} and B = {2, 3, 5, 7}, what is A ∩ B?

a)

{3, 5, 7}

b)

{2, 3, 5, 7}

c)

{2, 3, 5, 7, 9}

d)

{1, 2, 3, 5, 7, 9}

14.

The Universal Set = { -4, -3, -2, -1, 0, 1, 2, 3 ,4} and A = {0}.

What is the complement of A?

a)

{-4, -3, -2, -1, 0, 1, 2, 3}

b)

{-3, -2, -1, 1, 2, 3}

c)

{-4, -3, -2, -1, 1, 2, 3, 4}

d)

{-4, -3, -2, -1, 1, 2, 3}

15.

If

U (the universal set) = {1, 3, 5, 7, 9, 11, 13, 15, 17} and W = {5, 7, 9, 11}, then W' = . . ..

a)

{1, 3, 13, 15, 17}

b)

{1, 3}

c)

{2, 4, 6, 8, 10, 12, 14, 16}

d)

{1, 3, 5, 7, 9, 11, 13, 15, 17}

16.

From the above Venn diagram, what is the set S ∩ T?

a)

{casey, drew, jade, glen}

b)

{alex, casey, drew,hunter}

c)

{casey, drew}

d)

{drew, jade}

17.

From the above Venn diagram, what is the set (S ∪ T) ∩ V?

a)

{casey, drew, jade, glen}

b)

{alex, glen, hunter, jade}

c)

{casey, drew, glen}

d)

{drew, jade}

18.

From the above Venn diagram, what is the set S' ? Look at ALL of the Universal set called "U."

a)

{casey, drew}

b)

{blair, erin, francis, glen, jade, ira}

c)

{blair, erin, francis, ira}

d)

{jade, glen, blair, erin, francis, ira}

19.

The image represents which of the following?

a)

intersection, "and"

b)

intersection, "or"

c)

union, "and"

d)

union, "or"

20.

Which of the following represents the shaded region?

a)

A union B

b)

A intersect B

c)

A ⊂ B

d)

B ⊂ A

21.

Factorise fully 18x + 24

a)

3(6x + 8)

b)

2(9x + 12)

c)

6(3x + 4)

d)

6x(3x + 4)

22.

Expand and simplify 4(5a + c) + 3(2a – 3c)

a)

26a + 5c

b)

26a – 13c

c)

31ac

d)

26a – 5c

23.

Expand and simplify 5(x – 2y) – (3x – y)

a)

2x – 3y

b)

2x – 11y

c)

2x – 9y

d)

2x – y

24.

Factorise completely 9xy² + 12y

a)

3(xy² + 4y)

b)

y(9xy + 12)

c)

3y(3xy + 4)

d)

21xy³

25.

Factor
k²+7x+10

a)

(k+2)(k+5)

b)

(k-2)(k-5)

c)

(k+10)(k+4)

d)

(k+2)(k-5)

26.

Expand:
(5 - x)(5 + x)

a)

x² + 25

b)

25 - x²

c)

25 - 10x - x²

d)

25 + x²

27.

Expand

-2x\left(x-5\right)

a)

$-2x+10$

b)

$-2x^2+10$

c)

$-2x-10$

d)

$-2x^2-10$

e)

$-2x^2-5$

28.

Factor by Splitting the Middle:
5x² + 8x + 3

a)

(5x + 3)(x + 1)

b)

(5x - 3)(x - 1)

c)

(5x +8)(x + 3)

d)

Not Factorable

29.

Factor by Splitting the Middle:
3c² - 20c + 12

a)

(3c - 2)(c - 6)

b)

(3c - 20)(c + 12)

c)

(3c +12)(c + 20)

d)

Not Factorable

30.

Factor by Splitting the Middle:
y² - 6y + 8

a)

(y - 2)(y-4)

b)

(y - 6)(c + 8)

c)

(y + 8)(y - 6)

d)

Not Factorable

31.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

32.

Factor
x² + x - 6

a)

(x + 2)(x + 3)

b)

(x + 6)(x -1)

c)

(x + 3)(x - 2)

d)

(x +1)(x - 6)

33.

Factor
a² - a - 12

a)

(a - 4)(a + 3)

b)

(a + 6)(a - 4)

c)

(a - 6)(a + 4)

d)

(a + 4)(a - 3)

34.

Expand $\left(x+6\right)^2$

a)

$x^2+6x+36$

b)

$x^2+12x+36$

c)

$x^2-12x-36$

d)

$x^2+36x\ +12$

35.

expand and simplify $-x\left(2x-y\right)+2x\left(y-3x\right)$

a)

$-8x^2+3xy$

b)

$-4x^2+xy+y^2$

c)

$-4x^2+3xy$

d)

$8x^2+3xy$

36.

√24

a)

4√6

b)

2√6

c)

6√2

d)

2√12

37.

√28

a)

7√2

b)

7√4

c)

4√7

d)

2√7

38.

√45

a)

3√5

b)

5√3

c)

9√5

d)

5√9

39.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

40.

In simplest radical form,
√80 is equivalent to

a)

16√5

b)

2√20

c)

4√5

d)

8√5

41.

In simplest radical form,
√75 is equivalent to

a)

25√3

b)

25√3

c)

5√3

d)

3√5

42.

Simplify √18

a)

3√2

b)

9√2

c)

3√9

d)

2√3

43.

√16

a)

4

b)

8

c)

16

d)

64

44.

√1

a)

1

b)

2

c)

10

d)

100

45.

√675

a)

225√3

b)

15√5

c)

3√15

d)

15√3

46.

_{^{Find the missing side}}

a)

9

b)

41

c)

6.4

d)

3

47.

a)

7 ft

b)

5 ft

c)

3 ft

d)

2 ft

48.

What is the length of the missing side? *NOTE: side lengths of 10 and 12.

a)

15.6

b)

6.6

c)

44

d)

16

49.

What is the height of the cone?

a)

14 cm

b)

8 cm

c)

12 cm

d)

13.9 cm

50.

if a = 3 feet, b = 8 feet, and c = 6 feet, what is the length of d rounded to the nearest hundredth of a foot?

a)

8.54 feet

b)

10.44 feet

c)

10 feet

d)

4.12 feet

51.

_{^{Find the missing side}}

a)

48

b)

108

c)

83.6

d)

72

52.

Which set of sides would make a right triangle?

a)

4,5,6

b)

8,10,12

c)

5,12,13

d)

5,10,12

53.

Casey travels from her house directly west to the bank and then directly north from the bank to the mall. She then travels home on the road connecting the mall and her house. What is her total distance traveled?

a)

17 miles

b)

32 miles

c)

37 miles

d)

40 miles

54.

a)

9.2 in

b)

11 in

c)

13 in

d)

9.6 in

55.

The Pythagorean Theorem is
a² + b³= c⁴

a)

false

b)

true

56.

you ADD a² and c² then take the square root to find b on a right triangle.

a)

true

b)

false

57.

you ADD a² and b² then take the square root to find c on a right triangle.

a)

true

b)

false

58.

Side a on a right triangle is ALWAYS the longest side.

a)

true

b)

false

59.

What is the opposite of squaring a number?

a)

divide

b)

multiply

c)

fractions

d)

square root

60.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

61.

a)

The top of the ladder is 8.9 ft from the ground

b)

The top of the ladder is 9.2 ft from the ground

c)

The top of the ladder is 16.5 ft from the ground

d)

The top o the ladder is 14.4 ft from the ground

62.

A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?

a)

210 m

b)

180 m

c)

150 m

d)

79 m

63.

Which set of side lengths does not form a right triangle?

a)

38, 80, 90

b)

16, 63, 65

c)

36, 77, 85

d)

14, 15, 29

64.

Find the length of the missing side.

a)

25 cm

b)

42 cm

c)

52 cm

d)

48 cm

65.

_{^{Find the missing side}}

a)

√29.2

b)

√400

c)

√20

d)

√10

66.

Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.

a)

10.1

b)

11.18

c)

7.8

d)

3.93

67.

Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.

a)

8

b)

9

c)

7

d)

10

68.

Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.

a)

3.4

b)

6.3

c)

.8

d)

1.4

69.

Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.

a)

12.5

b)

9.85

c)

10.95

d)

5.65

70.

Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.

a)

3.3

b)

2.7

c)

.9

d)

14.3

71.

Find the missing diagonal length of the 3 dimensional figure. Approximate your answers.

a)

9.3

b)

10.3

c)

9.7

d)

8.7

72.

Find side "h" (wall height)

a)

35.60

b)

35.00

c)

35.71

d)

61.03

73.

The slide at the playground has a height of 6 feet. The base of the slide measured on the ground is 8 feet. What is the length of the slide?

a)

8 feet

b)

5.29 feet

c)

10 feet

d)

14 feet

74.

What is the longest side of a right triangle called?

a)

Leg A

b)

Leg B

c)

Hypotenuse

d)

Pythagoras' Big Buddy

75.

The size of a television screen is measured by the length of the diagonal of the screen. What size is a television screen that is 3 feet tall and 6 feet wide?

a)

18

b)

6.7

76.

Jane and Miguel are siblings. They go to different schools. Jane walks 6 blocks east from home. Miguel walks 8 blocks north. How many blocks apart would the two schools be if you could walk straight from one school to the other?

a)

14

b)

10

c)

5.3

d)

2

77.

A piece of paper that Brittany has is 11 inches tall and 8 inches wide. She draws a straight line diagonally across the paper. How long is the line she drew?

a)

7.5 in

b)

12.4 in

c)

13.6 in

d)

14.3 in

78.

To get from one side of the pond to the other you must walk 34 meters south and 41 meters east. To the nearest meter, how many less meters would it take if it were possible to go directly across the pond.

a)

53

b)

22

c)

75

d)

9

79.

You need a ladder that will reach up a 25 foot tall house when placed 10 feet away from the house. How tall does the ladder need to be?

Which diagram best represents the problem?

a)

b)

c)

d)

80.

Larry attached a string from the top of the flagpole to the ground. The flagpole is 26 feet high and the string is 18 feet away from the flagpole. How long is the string?

a)

352 feet

b)

31.6 feet

c)

44 feet

d)

6.6 feet

81.

A rectangular field is 50 yards wide and 100 yards long. Patrick walks diagonally across the field. How far does he walk?

a)

111.8 yards

b)

115 yards

c)

127.3 yards

d)

119 yards

82.

The Pythagorean Theorem ONLY works on which triangle?

a)

obtuse

b)

scalene

c)

isosceles

d)

right

83.

Lisa drives her car 46 km south and then 13 km east. How far is she from her starting point?

a)

44.1 km

b)

59 km

c)

47.8 km

d)

33 km

84.

If a right triangle has side lengths 6, 6.7 and 3, which side is the hypotenuse?

a)

6

b)

6.7

c)

3

d)

15.7

e)

None of them

85.

Level 2

Solve for the value of y

a)

13

b)

5

c)

23

d)

10

86.

^{Find the missing side}

a)

11

b)

61

c)

$\sqrt{61}$

d)

$\sqrt{11}$

87.

Let x = 2 and y = 3. Evaluate 3x - 4y.

a)

6

b)

-6

c)

2

d)

-2

88.

Evaluate 4n - n² for n = -3.

a)

-21

b)

-3

c)

8

d)

-7

89.

Evaluate (2y - 5)² for y = -2.

a)

-25

b)

25

c)

-81

d)

81

90.

Evaluate 3a² - ab when a = -1 and b = 3.

a)

12

b)

-5

c)

6

d)

0

91.

Let t = 3 and u = -5. Evaluate 3t - u².

a)

-19

b)

31

c)

34

d)

-16

92.

The length of a rectangle is represented by (5x - 3) and the width is (x + 3). If x = 2, then which of the following values is the actual perimeter of this rectangle?

a)

18

b)

14

c)

24

d)

20

93.

A rectangle has a dimension that is represented by (2c + 1) and another dimension that is (3 + c). If c = 3, then that is the actual area of this rectangle?

a)

13 square units

b)

42 square units

c)

36 square units

d)

12 square units

94.

Evaluate (3x - 4)(x + 8) when x = 2.

a)

-20

b)

100

c)

20

d)

12

95.

A square has a side that is represented by (9 - v). If v = -2, than that is the actual perimeter of this square?

a)

121 units

b)

22 units

c)

44 units

d)

88 units

96.

Let p = 0.5 and q = 1.5. Evaluate 4p² - 4q.

a)

2

b)

-5.75

c)

7

d)

-5

97.

2n⁴ /6n⁴

a)

1/3n

b)

3

c)

3n

d)

1/3

98.

a)

4/x

b)

x/4

c)

1/4x

d)

4x

99.

a)

6am/10a

b)

9

c)

9ma/3a

d)

6m

100.

a)

2by/c

b)

4xb/ac

c)

2xb/ac

d)

ac/dc

101.

a)

a²/6

b)

2a/3a

c)

3a/2a

d)

3/2

102.

a)

3c

b)

9b/4a

c)

4a

d)

2c/b

103.

Simplify the algebraic fraction.

a)

2pq

b)

2/pq

c)

pq/2

d)

p/2q

104.

a)

2a/0

b)

2a/5

c)

2a/10

d)

2a

105.

Simplify the algebraic fraction.

a)

1/a

b)

8a/9

c)

9/8a

d)

9a/8

106.

a)

4a/2

b)

2a

c)

3a/2

d)

4a/4

107.

a)

(2k-6l )/12

b)

(4k-12l )/24

c)

(k-3l)/6

d)

(3d-2l)/24

FDOL INT III

Total questions: 107

Worksheet time: 5hrs 21mins

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