Quiz test page

Test Quiz

Find sum of numbers from the average of numbers.

1 / 125

1) The average of three numbers is 15. What is two times the sum of the three numbers?

6

15

30

45

90

Find the factors of 12.

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2) How many factors does the number 12 have?

2

3

4

6

8

1/3rd of something is same as dividing by 3.

3 / 125

3) John owns 1/3 of the CDs in the collection. If there are a total of 120 CDs, how many does John own?

20

40

60

120

360

Equilateral triangle has 3 equal sides.

4 / 125

4) What is the perimeter of an equilateral triangle, one side of which measures 6 inches?

18 inches

12 inches

6 inches

3 inches

It cannot be determined.

Calculate amount contributed by others in terms of the amount contributed by James.

5 / 125

5) Tyler, Sharice, and James want to put their money together in order to buy a $270 radio. If Sharice agrees to pay twice as much as James, and Tyler agrees to pay three times as much as Sharice, how much will Sharice contribute?

$30

$60

$90

$150

$180

6 / 125

6) The price of a jacket is reduced by half, and the resulting price is then reduced by 10%. The final price is what percentage of the original price?

10%

40%

45%

55%

60%

7 / 125

7) In a jar of gumdrops, the ratio of green gumdrops to red gumdrops is 5:3. If only green and red gumdrops are in the jar and the total number of gumdrops is 56, how many green gumdrops are in the jar?

5

8

15

28

35

8 / 125

8) A stop sign has eight equal sides and a perimeter of 64. What is the length of each individual side?

2

4

8

12

It cannot be determined.

9 / 125

9) Two cardboard boxes have equal volume. The dimensions of one box are 3 x 8 x 10. If the length of the other box is 4 and the width is 6, what is the height of the second box?

2

5

10

12

16

10 / 125

10) At a fund-raiser, 300 people each donated y dollars. In terms of y, what was the total number of dollars donated?

300

300y

$\cfrac { y }{300}$

$\cfrac { 300 }{ y }$

300+y

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11) If a harvest yields 120 bushels of corn, 40 bushels of wheat, and 80 bushels of soybeans, what percent of the total harvest is corn?

25%

30%

33%

40%

50%

12 / 125

12) Which of the following is a multiple of 6?

1

2

3

9

12

13 / 125

13) A 3-foot, 2-inch board is how many times bigger than a 2-foot board?

1.5

1.6

1.7

$\cfrac { 19 }{ 12 }$

$\cfrac { 17 }{ 12 }$

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14) What is the distance between (-14, -11) and (-20, -7) along the line connecting them?

5

10

$2\sqrt { 13 }$

$4\sqrt { 13 }$

13

15 / 125

15) What is the perimeter of a regular pentagon whose sides measure three units?

7.5

9

12

15

18

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16) What is 60 expressed as the product of its prime factors?

(15)(6)

(5)(12)

(5)(3)(3)(2)

(4)(5)(3)

(2)(5)(3)(2)

17 / 125

17) Mike bought 25 shares of Zooko stock at the closing price on Tuesday and sold them at the closing price on Friday. How much money did Mike lose on his investment?

$80

$200

$800

$2000

$95

18 / 125

18) The hypotenuse of a right triangle is 10 and one leg is 6. Find the length of the other leg of the triangle.

16

10

8

12

4

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19) Calculate the area of the hexagon.
OP = $4\sqrt{3}$ , AB = 8

$96\sqrt { 3 }$

$32\sqrt { 3 }$

32

$16\sqrt { 3 }$

16

20 / 125

20) If |3a - 1| = 5, which of the following is a possible value for a?

-2

-1

0

1

2

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21) A coat is on sale for $128 after a discount of 20%. Find the original price.

$102.40

$153.60

$160

$180

$148

22 / 125

22) Rachel worked one Saturday from 7:30 A.M. until 3 P.M. at the rate of $4.65 per hour. How much did she receive?

$19.88

$22.53

$19.00

$22.00

$34.88

23 / 125

23)

The graph shown above is of which inequality?

$-2< x<3$

$-2\le x<3$

$-2\le x\le 3$

$-2< x\le 3$

$-2< x$

24 / 125

24) How many socks would you need to remove from a drawer containing 10 blue socks, 15 black socks, and 5 red socks, to insure that you have at least 2 matching socks?

3

4

16

17

28

25 / 125

25) What is the sum of $\cfrac { a }{ b }$ and $\cfrac { b }{ a }$ ?

$\cfrac { a+b }{ ab }$

$\cfrac { \left( { a }^{ 2 }+{ b }^{ 2 } \right) }{ ab }$

$\cfrac { { \left( a+b \right) }^{ 2 } }{ ab }$

$\cfrac { \left( { a }^{ 2 }+{ b }^{ 2 } \right) }{ 2ab }$

1

26 / 125

26) A gas tank is 1/3 empty. When full, the tank holds 18 gallons. How many gallons are in the tank now?

3

6

8

12

18

27 / 125

27) Which of the following is the least?

$\cfrac { 1 }{ 4 }+\cfrac { 2 }{ 3 }$

$\cfrac { 3 }{ 4 }-\cfrac { 1 }{ 3 }$

$\cfrac { 1 }{ 12 } \div \cfrac { 1 }{ 3 }$

$\cfrac { 3 }{ 4 } \times \cfrac { 1 }{ 3 }$

$\cfrac { 1 }{ 12 } \times 2$

28 / 125

28) If the sum of x and x + 3 is greater than 20, which is a possible value for x?

-10

-8

-2

8

10

29 / 125

29) If a square has a perimeter of 88, what is the length of each side?

4

11

22

44

110

30 / 125

30) If a Set R contains four positive integers whose average is 9, what is the greatest number Set R could contain?

4

9

24

33

36

31 / 125

31) Which of the following is NOT a multiple of 4?

20

30

36

44

96

32 / 125

32) For all real numbers m, *m = 10m - 10.

*7 =

70

60

17

7

0

33 / 125

33) For all real numbers m, *m = 10m - 10. If *m = 120, then m =

11

12

13

120

130

34 / 125

34) At Nifty Thrifty Buy ‘N Sell, an item that usually sells for $9 is on sale for $6. What approximate discount does that represent?

10%

25%

33%

50%

66%

35 / 125

35) In Jackie’s golf club, 8 of the 12 members are right-handed. What is the ratio of left-handed members to right-handed members?

$1:2$

$2:1$

$2:3$

$3:4$

$4:3$

36 / 125

36) The sum of five consecutive positive integers is 35. What is the square of the greatest of these integers?

5

9

25

81

100

37 / 125

37) ${ 2 }^{ 2 }\times { 2 }^{ 3 }\times { 2 }^{ 3 }$

24

64

${2}^{8}$

${2}^{10}$

${2}^{18}$

38 / 125

38) If the area of a square is $100{s}^{2}$ , what is the length of one side of the square?

$100{s}^{2}$

$10{s}^{2}$

100s

10s

10

39 / 125

39) If 10 books cost d dollars, how many books can be purchased for 4 dollars?

$\cfrac { 4d }{ 10 }$

$40d$

$\cfrac { d }{ 40 }$

$\cfrac { 40 }{ d }$

$\cfrac { 10d }{ 4 }$

40 / 125

40) If g is an even integer, h is an odd integer, and j is the product of g and h, which of the following must be true?

j is a fraction.

j is an odd integer.

j is divisible by 2.

j is between g and h.

j is greater than 0.

41 / 125

41) If a class of 6 students has an average grade of 78 before a seventh student joins, what must the seventh student get as a grade in order to raise the class average to 80?

80

84

88

92

96

42 / 125

42) If 6 is a factor of a certain number, what must also be factors of that number?

1, 2, 3, and 6

2 and 3 only

6 only

2 and 6 only

1, 2, and 3

43 / 125

43)

x =

8

30

50

65

70

44 / 125

44) For what priced item does 40% off equal a $2.00 discount?

$5.00

$4.00

$10.00

$80.00

$40.00

45 / 125

45) On Monday, Gerri ate 1/4 of an apple pie. On Tuesday, she ate 1/2 of what was left of the pie. What fraction of the entire pie did Gerri eat on both days?

$\cfrac { 3 }{ 8 }$

$\cfrac { 1 }{ 2 }$

$\cfrac { 5 }{ 8 }$

$\cfrac { 3 }{ 4 }$

$\cfrac { 7 }{ 8 }$

46 / 125

46) If the area of a square is equal to its perimeter, what is the length of one side of that square?

1

2

4

8

10

47 / 125

47) If 6x - 4 = 38, then x - 5 =

2

3

5

7

9

48 / 125

48) $3{ ({ x }^{ 2 }{ y }^{ -4 }z) }^{ 4 }{ x }^{ 3 }y =$

$3{ x }^{ 11 }y^{ -15 }{ z }^{ 4 }$

$81{ x }^{ -1 }y{ z }^{ 4 }$

$81{ x }^{ 11 }y^{ -15 }{ z }^{ 4 }$

$3{ x }^{ 9 }y{ z }^{ 4 }$

$3{ x }^{ 3 }y^{ -5 }{ z }$

49 / 125

49) What is NOT a prime factor of 360?

2

3

4

5

All of the above are prime factors of 360.

50 / 125

50) What is the area of an equilateral triangle whose altitude is 4?

16

$4\sqrt{3}$

$8\sqrt{3}$

$\cfrac{16\sqrt{3}}{3}$

8

51 / 125

51) At the start of the year, Terry invested $6,000 in South Bend Oil Corp. At the end of the year, his stock was worth $4,500. What was the percent decline in the value of his investment?

25%

$33\cfrac { 1 }{ 3 }$ %

$66\cfrac { 2 }{ 3 }$ %

75%

125%

52 / 125

52) what is $\cfrac{a}{b} - \cfrac{b}{a}?$

$\cfrac { a -b }{ ab }$

$\cfrac { {a}^{2} -{b}^{2} }{ ab }$

$\cfrac { {a -b}^{2} }{ ab }$

$\cfrac { {a}^{2} -{b}^{2} }{ 2ab }$

1

53 / 125

53) Tracy has a test average of 90 after five tests. She only knows the scores of four of her tests: they are 80, 87, 94, and 89. What was the score on her other test?

100

98

97

90

87

54 / 125

54) What is 4 percent expressed as a decimal?

40

4

.4

.04

.25

55 / 125

55) Express in simplest form the following ratio:
15 hours to 2 days.

$7\cfrac { 1 }{ 2 }$

$\cfrac { 16 }{ 5 }$

$\cfrac { 5 }{ 8 }$

$\cfrac { 15 }{ 2 }$

$\cfrac { 5 }{ 16 }$

56 / 125

56) .58 x .14 =

812

8.12

81.2

.812

.0812

57 / 125

57) If 3a - 5 = 7, then a =

-4

4

$\cfrac { -2 }{ 3 }$

$\cfrac { 2 }{ 3 }$

$\cfrac { 5 }{ 3 }$

58 / 125

58) A gumball machine contains five red and three blue gumballs. If one gumball is removed, what is the probability that it will be red?

$\cfrac { 5 }{ 3 }$

$\cfrac { 3 }{ 5 }$

$\cfrac { 5 }{ 8 }$

$\cfrac { 3 }{ 8 }$

$\cfrac { 8 }{ 3 }$

59 / 125

59) How long is chord $\bar { AB }$ of circle O?

$\sqrt { 10 }$

$10\sqrt { 2 }$

100

10

$\sqrt { 50 }$

60 / 125

60) $\left( 2{ x }^{ 2 }-3x+5 \right) +(3x-2)=$

$\left( 2{ x }^{ 2 }+3 \right)$

$\left( 2{ x }^{ 2 }+6x+3 \right)$

$\left( 2{ x }^{ 2 }+6x+7 \right)$

$\left( 2x+3 \right)$

$\left( 2{ x }^{ 2 }-6x+3 \right)$

61 / 125

61) Using the formula A = p + prt, find A when p = 500, r = .04, and t = $2\cfrac { 1 }{ 2 }$ .

700

600

550

500

450

62 / 125

62)

Triangles ABE and ACD are similar. Find the length of DE.

9

15

4

11

8

63 / 125

63) The expression ${ (3{ K }^{ 2 }) }^{ 3 }$ is equivalent to

$9{ K }^{ 6 }$

$27{ K }^{ 6 }$

$27{ K }^{ 5 }$

$9{ K }^{ 5 }$

$3{ K }^{ 5 }$

64 / 125

64) Find the value of y in the proportion

$\cfrac{20}{12}=\cfrac{5}{y}$

$\cfrac { 3 }{ 8 }$

3

15

8

$8\cfrac { 1 }{ 3 }$

65 / 125

65) If $\cfrac{3}{x}$ is subtracted from $\cfrac{4}{x}$ , the result is

1

$\cfrac { 7 }{ x }$

$\cfrac { -1 }{ x }$

$\cfrac { 1 }{ x }$

$\cfrac { 1 }{ {x}^{2} }$

66 / 125

66) The markdown price of a computer game was $36.75, which represented 75% of the original selling price. What was the original selling price?

$27.56

$42.35

$45.94

$49.00

$45.35

67 / 125

67) Use this chart to answer question

Weekly net income = $350
A. Food
B. Rent and Utilities
C. Entertainment
D. Clothing
E. Miscellaneous

How much money does Freddie spend on miscellaneous items each week?

$43.05

$19.05

$130.95

$18.55

$44.45

68 / 125

68) What is the x-intercept of the line described by the equation y = 3x + 7?

7

-7

$\cfrac { -3 }{ 7 }$

$\cfrac { -7 }{ 3 }$

0

69 / 125

69) What is 60 expressed as the product of its prime factors?

(5)(13)

(5)(12)

(5)(3)(2)(2)

(4)(4)(3)

(15)(6)

70 / 125

70) If |12a - 7| = 3, what is a possible value of a?

3

-3

29

$\cfrac { -1 }{ 3 }$

$\cfrac { 5 }{ 6 }$

71 / 125

71) What is the graph of the inequality 4 ≤ x ≤ 7?

72 / 125

72) ${ 11 }^{ 2 }-{ 9 }^{ 2 }$

2

4

-4

40

16

73 / 125

73) Eric’s test scores were 98, 95, 84, 100, and 92. What would he need on his next test to have an average of 94?

90

92

95

100

It is not possible to get that average.

74 / 125

74) Where does the line y = x - 3 cross the y-axis?

(0,3)

(0,-3)

(-3,0)

(-3,3)

(0,0)

75 / 125

75)

If points A, B, C, and D are distinct collinear points, and $\bar { AC }$ is congruent to $\bar { BC }$ , and B lies between A and D, and the length of $\bar { AC }$ is 7, what is the length of $\bar { CD }$ ?

7

14

21

28

It cannot be determined.

76 / 125

76) Which of the following is a multiple of both 4 and 5?

10

45

50

60

90

77 / 125

77) Four less than a number is two thirds of that number. What is the number?

12

4

$\cfrac { 12 }{ 5 }$

$\cfrac { 5 }{ 3 }$

6

78 / 125

78) On a test with 25 questions, Mark scored an 84%. How many questions did Mark answer correctly?

22

21

16

5

4

79 / 125

79) $\cfrac { 1 }{ 2 } +\cfrac { 2 }{ 3 } +\cfrac { 3 }{ 4 } -\cfrac { 1 }{ 2 } -\cfrac { 1 }{ 3 } +\cfrac { 1 }{ 4 } -\cfrac { 1 }{ 3 } =$

$\cfrac { 1 }{ 2 }$

$\cfrac { 2 }{ 3 }$

1

2

$\cfrac { 3 }{ 4 }$

80 / 125

80) The perimeter of a square with a side length of 4 is how much less than the perimeter of a rectangle with sides of length 6 and width 4?

8

6

4

2

0

81 / 125

81) Which of the following is most nearly 40% of $19.95?

$8.00

$4.00

$14.50

$12.00

$6.75

82 / 125

82) One fifth of a class chose electricity for the topic of a science project. If 2 students chose this topic, how many students are in the class?

20

10

8

5

2

83 / 125

83) Don is 5 years older than Peter is. In 5 years, Don will be twice as old as Peter is now. How old is Peter now?

5

10

15

25

35

84 / 125

84) If p pieces of candy cost c cents, 20 pieces of candy will cost

$\cfrac { pc }{ 20 }$ cents

$\cfrac { 20c }{ p }$ cents

20pc cents

$\cfrac { 20p }{ c }$ cents

20+p+c cents

85 / 125

85) Durant’s Trading Company earned profits of $750,000 in 1990. In 1998, their profit was $4,500,000. The profit from 1998 was how many times as great as it was in 1990?

2

4

6

10

60

86 / 125

86)

If b = 45°, then ${ v }^{ 2 } =$

64

50

25

10

It cannot be determined.

87 / 125

87) A pet goat eats 2 pounds of oats and 1 pound of grass each day. When the goat has eaten a total of 30 pounds, how many pounds of grass has been eaten?

6

8

10

30

60

88 / 125

88) If 3x - 9 = 18, what is x ÷ 9?

6

3

0

9

1

89 / 125

89) One half the difference between the number of degrees in a rectangle and the number of degrees in a triangle is

360

240

180

90

45

90 / 125

90) A zoo has 4 times as many gorillas as tigers. There are 4 more tigers than there are zebras at the zoo. If z represents the number of zebras, in terms of z, how many gorillas are in the zoo?

4z

z+4

z+8

4z+4

4z+16

91 / 125

91) If cats sleep $\cfrac{ 3 }{ 4 }$ of every day, how many full days would a cat sleep in a four-day period?

$\cfrac { 1 }{ 4 }$

$\cfrac { 3 } { 4 }$

1

3

4

92 / 125

92) What is the least number that can be added to 2,042 to produce a result divisible by 9?

1

2

3

5

6

93 / 125

93) An art club of 5 boys and 4 girls makes craft projects. If the girls average 2 projects each and the boys average 3 projects each, what is the total number of projects produced by this group?

5

9

22

23

26

94 / 125

94) The area of a rectangle with width 3 and length 8 is equal to the area of a triangle with base 6 and height of

1

2

3

4

8

95 / 125

95) definition: For all real numbers r and s, $r\clubsuit s=(r\times s)-(r+s)$ .
$10\clubsuit 2=$

20

16

12

8

4

96 / 125

96) definition: For all real numbers r and s, $r\clubsuit s=(r\times s)-(r+s)$ .
If L( $4\clubsuit 3)=30$ ,then L =

3

4

5

6

7

97 / 125

97) Jessie scores an 88, 86, and 90 on her first 3 exams. What must she score on her fourth exam to receive an average of 91?

92

95

98

99

100

98 / 125

98) Solve for x: 3x - 8 = 10x - 13

$\cfrac { 5 }{ 7 }$

$\cfrac { -5 }{ 7 }$

-35

-3

3

99 / 125

99) If the price of a handbag is $75.00 before a discount of 15%, what is the final discounted price?

$11.25

$60.00

$63.75

$75.00

$86.25

100 / 125

100) Find the height of a triangle whose base is 15 inches and whose area is 75 square inches.

5 inches

5 square inches

10 inches

10 square inches

20 inches

101 / 125

101) What is .03 expressed as a percent?

30%

3%

.3%

.03%

.003%

102 / 125

102) What is 72 expressed as the product of prime factors?

(2)(3)

(2)(3)(12)

(2)(2)(2)(3)(3)

(8)(9)

(6)(6)(2)

103 / 125

103) Fred invested $4,000 at a simple interest rate of 5.75%. What is the total value of his investment after one year?

$200

$230

$4,200

$4,230

$4,400

104 / 125

104) The area of a circle is the same as the area of a square whose side is 5 centimeters. The radius of the circle is closest to

25 centimeters.

3 centimeters.

3 square centimeters.

8 centimeters.

16 centimeters.

105 / 125

105) Solve for x: 7x - 3 = 4x + 6

3

-1

4

2

-4

106 / 125

106) The length of a side of a square is represented by x + 2, and the length of a side of an equilateral triangle is represented by 2x. If the square and the equilateral triangle have equal perimeters, find x.

24

16

12

8

4

107 / 125

107) A bag has five green marbles and four blue marbles. If one marble is drawn at random, what is the possibility that it is NOT green?

$\cfrac { 1 }{ 9 }$

$\cfrac { 4 }{ 9 }$

$\cfrac { 5 }{ 9 }$

$\cfrac { 5 }{ 20 }$

$\cfrac { 4 }{ 20 }$

108 / 125

108) The expression $\sqrt{162}$ is equivalent to:

$4\sqrt{2}$

$4+\sqrt{2}$

$9\sqrt{2}$

$3\sqrt{2}$

$9+\sqrt{2}$

109 / 125

109)

In the accompanying figure, the legs of a right triangle are 16 inches and 12 inches. Find the number of inches in the length of the line segment parallel to the 16-inch side and 3 inches from it.

16

12

9

15

10

110 / 125

110) On a map, 2 inches represent 15 miles. How many miles would 5 inches represent?

6

8

30

$37\cfrac{1}{2}$

75

111 / 125

111)

Three congruent squares are arranged in a row. If the perimeter of ABCD is 80, the area of ABCD is

240

320

640

300

160

112 / 125

112) Express as a ratio in simplest form: 5 feet to 3 inches

$\cfrac { 5 }{ 3 }$

$\cfrac { 3 }{ 5 }$

$\cfrac { 60 }{ 3 }$

$\cfrac { 1 }{ 20 }$

$\cfrac { 20 }{ 1 }$

113 / 125

113) What is the slope of the line that passes through the point (2,6) and the point (7, 27)?

$\cfrac { -13 }{ 5 }$

$\cfrac { 5 }{ 13 }$

$\cfrac { -1 }{ 5 }$

$\cfrac { 13 }{ 5 }$

$\cfrac { 21 }{ 7 }$

114 / 125

114) $423,252\times 835,234$ =

353,534,359,987

983,414,460,968

989,353,414,426

353,514,425,972

353,514,460,968

115 / 125

115) If points A, B, C, and D are collinear, and C is the midpoint of $\bar { AB }$ , and B is the midpoint of $\bar { AD }$ , and the length of $\bar { AD }$ is 24, what is the length of $\bar { CD }$ ?

12

24

18

6

It cannot be determined.

116 / 125

116) If x = 4 on the graph of y = -5x + 4, what does y equal?

-1

5

-5

16

-16

117 / 125

117) What is the graph of the inequality 6 < $x\le 9$ ?

118 / 125

118) What is $3 { x }^{ 5 }$ divided by $4 { x }^{ 7 }$ ?

$7 { x }^{ 12 }$

$12 { x }^{ 12 }$

$\cfrac { 3 }{ 4{ x }^{ 2 } }$

$12 { x }^{ 35 }$

$\cfrac { 4{ x }^{ 2 } }{ 3 }$

119 / 125

119) Express .075 as a percent.

75%

7.5%

.75%

.075%

8%

120 / 125

120) A scale model of a cube has sides that are one fortieth of the length of the original. If the scale model required three gallons of paint to coat, how much paint is required to coat the original with the same thickness of paint?

$\cfrac { 40 }{ 3 }$ gallons

7,280 gallons

4,800 gallons

240 gallons

120 gallons

121 / 125

121) Dinner (plus tax and tip) cost $93.60. The tax rate is 5% and Mr. Simmons left a 15% tip. Both tax and tip are calculated on the base amount of the check. What was the base amount of Mr. Simmons’s bill?

$78.00

$113.32

$77.41

$112.00

$81.30

122 / 125

122) What is the area of a square whose diagonal is 6?

36

24

18

12

$6 \sqrt{2}$

123 / 125

123) Which fraction lies between $\cfrac {2}{3}$ and $\cfrac {4}{5}$ ?

$\cfrac { 5 }{ 6 }$

$\cfrac { 17 }{ 20 }$

$\cfrac { 7 }{ 10 }$

$\cfrac { 13 }{ 15 }$

$\cfrac { 9 }{ 10 }$

124 / 125

124) The circumference of a circle whose diameter is 7 inches is approximately

22 inches.

28 inches.

38 inches.

154 inches.

14 inches.

125 / 125

125)

Josie bought 16 shares of Zariche stock at the closing price Monday and sold them at the closing price on Friday. What was Josie’s profit on this investment?

$60

$96

$600

$960

None of the above

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