Free Printable MATHEMATICSQUIZ

1.

What is the formula to solve a quadratic equation?

a)

(-b ± √(b² - 4ac)) / (2a)

b)

x = -b

c)

3.14

d)

2 + 2 = 5

2.

If a quadratic equation has no real roots, what can you say about the discriminant?

a)

Less than zero

b)

Less than one

c)

Greater than zero

d)

Equal to zero

3.

What is the probability of rolling a 5 on a fair six-sided die?

a)

1/3

b)

1/2

c)

1/6

d)

1/4

4.

In a statistics class, 60% of the students are female. If a student is chosen at random, what is the probability that the student is male?

a)

0.60

b)

0.40

c)

0.30

d)

0.50

5.

What is the sum of the roots of the quadratic equation x^2 - 5x + 6 = 0?

a)

5

b)

6

c)

-5

d)

11

6.

If two events are independent, what can you say about their probabilities?

a)

Their probabilities are always dependent on each other

b)

Their probabilities are always opposite

c)

Their probabilities are always equal

d)

Their probabilities are not affected by each other

7.

What is the discriminant of the quadratic equation 2x^2 + 3x - 5 = 0?

a)

-29

b)

10

c)

29

d)

5

8.

In a statistics class, the average score on a test was 75 with a standard deviation of 5. What percentage of students scored between 65 and 85?

a)

50%

b)

90%

c)

80%

d)

68%

9.

What is the product of the roots of the quadratic equation 3x^2 - 4x + 1 = 0?

a)

5

b)

2/3

c)

1/3

d)

0

10.

If the probability of an event is 0.3, what is the probability of the event not happening?

a)

0.7

b)

1.0

c)

0.2

d)

0.5

11.

Solve the quadratic equation x^2 - 9x + 20 = 0.

a)

x = 2 or x = 10

b)

x = 3 or x = 8

c)

x = 6 or x = 7

d)

x = 4 or x = 5

12.

In a statistics class, the median score on a test was 80. What can you say about the distribution of the scores?

a)

The distribution of the scores is heavily skewed to the left.

b)

The distribution of the scores is random and unpredictable.

c)

The distribution of the scores is heavily skewed to the right.

d)

The distribution of the scores is relatively balanced.

13.

What is the value of the discriminant if the quadratic equation has only one real root?

a)

2

b)

0

c)

-1

d)

1

14.

If the probability of event A is 0.4 and the probability of event B is 0.5, what is the probability of both events happening?

a)

1.0

b)

0.9

c)

0.4

d)

0.1

15.

Solve the quadratic equation 2x^2 - 7x + 3 = 0.

a)

x = 2 or x = 3

b)

x = -1 or x = -3

c)

x = 0.5 or x = 2.5

d)

x = 1.5 or x = 1

16.

Simplify the algebraic fraction.

a)

2pq

b)

2/pq

c)

pq/2

d)

p/2q

17.

a)

4/x

b)

x/4

c)

1/4x

d)

4x

18.

Simplify: 9m²∕27m³

a)

1⁄3m

b)

3⁄7m²

c)

1∕3m²

d)

3∕m²

19.

a)

2a/0

b)

2a/5

c)

2a/10

d)

2a

20.

The factorisation of 4x + 16 is _______

a)

4(x + 4)

b)

4(x - 4)

c)

x + 4

d)

4x + 4

21.

Simplify the algebraic fraction.

a)

1/a

b)

8a/9

c)

9/8a

d)

9a/8

22.

a)

2by/c

b)

4xb/ac

c)

2xb/ac

d)

ac/dc

23.

a)

6am/10a

b)

9

c)

9ma/3a

d)

6m

24.

a)

3c

b)

9b/4a

c)

4a

d)

2c/b

25.

a)

10a/10b

b)

10a/5b

c)

2a/b

d)

a/b

26.

a)

a/2

b)

3a/6

c)

8a/6

d)

7a/6

27.

a)

(2k-6l )/12

b)

(4k-12l )/24

c)

(k-3l)/6

d)

(3d-2l)/24

28.

a)

a²/6

b)

2a/3a

c)

3a/2a

d)

3/2

29.

a)

3c

b)

9b/4a

c)

4a

d)

2c/b

30.

$\frac{45xyz}{45y}$

a)

0

b)

xyz

c)

yz

d)

xz

31.

$\frac{36acf}{6f}$

a)

6ac

b)

6cf

c)

6acf

d)

6

32.

Simplify the algebraic fraction.

a)

16/p²q

b)

16p²q

c)

p²q/16

d)

16q/p²

33.

Simplify the algebraic fraction.

a)

-m

b)

-1/m

c)

m/n

d)

1/mn

34.

Simplify the following.

$\frac{6t}{5}\div\frac{3}{4t}$

a)

$\frac{8t^2}{5}$

b)

$\frac{18t}{20t}$

c)

$\frac{9t}{10t}$

d)

$\frac{10t}{8}$

35.

Simplify the following.

$\frac{5q}{7}\div\frac{9q}{8}$

a)

$\frac{40}{63}$

b)

$\frac{14q}{15}$

c)

$\frac{103q}{56}$

d)

$\frac{45q}{56}$

36.

Rajah di sebelah menunjukkan gambar rajah Venn dengan set semesta, $\xi=P\cup Q\cup R.$
Senaraikan semua element set P'.

a)

$\left\{3,\ 4\right\}$

b)

$\left\{3,\ 4,\ 7\right\}$

c)

$\left\{3,\ 4,\ 5,\ 7\right\}$

d)

$\left\{3,\ 4,\ 5,\ 6,\ 7\right\}$

37.

Rajah di sebelah ialah gambar rajah Venn dengan keadaan set universal , $\xi=P\cup Q\cup R.$
Set manakah yang mewakili kawasan berlorek

a)

$\left(P\cap Q\right)\cup R$

b)

$P\cap\left(Q\cup R\right)$

c)

$\left(P\cup Q\right)\cap R$

d)

$P\cup\left(Q\cap R\right)$

38.

Rajah di sebelah ialah gambar rajah Venn yang menunjukkan bilangan unsur dalam set M, set S dan set P. Set semesta $\xi=M\cup S\cup P.$
Diberi $n\left(M\cup S\right)=n\left(P\right),$ cari nilai x.

a)

8

b)

9

c)

16

d)

18

39.

Diberi bahawa

Senaraikan semua unsur bagi set R'.

a)

$\left\{1,\ 2,\ 3\right\}$

b)

$\left\{5,\ 6,\ 7\right\}$

c)

$\left\{1,\ 2,\ 3,\ 4\right\}$

d)

$\left\{4,\ 5,\ 6,\ 7\right\}$

40.

Rajah di sebelah menunjukkan gambar rajah Venn dengan set semesta, $\xi=K\cup L\cup M.$
Senaraikan semua unsur bagi set $K'\cap L.$

a)

$\left\{1,\ 2\right\}$

b)

$\left\{6,\ 7\right\}$

c)

$\left\{3,\ 4,\ 5\right\}$

d)

$\left\{5,\ 6,\ 7\right\}$

41.

Rajah di sebelah ialah gambar rajah Venn yang menunjukkan unsur-unsur bagi set semesta, ξ, set P dan set Q.

Senaraikan semua unsur bagi set Q'.

a)

$\left\{r,\ s\right\}$

b)

$\left\{t,\ u,\ v\right\}$

c)

$\left\{r,\ s,\ t,\ u\right\}$

d)

$\left\{r,\ s,\ t,\ u,\ v\right\}$

42.

Rajah di sebelah ialah gambar rajah Venn yang menunjukkan bilangan unsur dalam set semesta ξ, set K, set L dan set M.
Diberi $n\left(L\right)=n\left(K\cup M\right)',$ cari nilai $n\left(\xi\right).$

a)

37

b)

40

c)

49

d)

54

43.

Gambar rajah Venn manakah yang mewakili set P⋃Q⋂R ?

a)

b)

c)

d)

44.

Rajah di sebelah ialah gambar rajah Venn dengan set semesta ξ=P∪Q∪R.

Operasi bergabung ke atas set P, Q dan R yang manakah set kosong?

a)

$\left(P\cap Q\right)'\cap R$

b)

$\left(P\cap Q\right)'\cap R'$

c)

$\left(P\cup Q\right)'\cap R$

d)

$\left(P\cup Q\right)'\cap R'$

45.

Dalam sebuah bandar terdapat 15 000 keluarga. Satu kajian mengenai pilihan keluarga terhadap kesukaan mereka membeli surat khabar P, Q dan R telah dijalankan. Dalam satu kajian itu, didapati 40% keluarga membeli surat khabar jenis P, 20% membeli surat khabar Q dan 10% membeli surat khabar R. Daripada jumlah itu, 5% membeli surat khabar P dan Q, 3% membeli surat khabar Q dan R, 4% membeli surat khabar P dan R manakala 2% membeli ketiga-tiga surat khabar itu.

Cari bilangan keluarga yang membeli surat khabar P sahaja.

a)

7650

b)

6000

c)

4950

d)

4350

46.

Rajah di sebelah ialah gambar rajah Venn yang menunjukkan set P, set Q dan set R dengan keadaan set semesta, ξ=P∪Q∪R.

Antara yang berikut, yang manakah mewakili kawasan berlorek?

a)

$\left(P\cap Q\right)'\cap R$

b)

$\left(P\cap Q\right)'\cup R$

c)

$P'\cap\left(Q\cap R\right)$

d)

$P'\cap\left(Q\cup R\right)$

47.

Rajah di sebelah ialah satu gambar rajah Venn dengan set semesta, ξ=M⋃R⋃G, set M={Murid suka memasak}, set R={Murid suka membaca}, dan set G={Murid suka menyanyi}.

Diberi bahawa n(M)=20, n(R)=60 dan n(G)=17.

Cari bilangan murid yang tidak suka membaca.

a)

15

b)

22

c)

42

d)

48

48.

Rajah di sebelah ialah gambar rajah Venn yang menunjukkan bilangan ahli bagi tiga kelab sukan.
Diberi bahawa bilangan ahli Kelab Hoki adalah $\frac{1}{6}$ bilangan ahli Kelab Renang.
Hitung bilangan ahli Kelab Golf sahaja.

a)

25

b)

42

c)

127

d)

134

49.

Rajah di sebelah menunjukkan sebuah gambar rajah Venn dengan set semesta ξ, set P, set Q dan set R.

Antara yang berikut, manakah yang mewakili kawasan berlorek?

a)

$\left(R\cap Q'\right)\cap P'$

b)

$\left(R\cap Q\right)\cap P'$

c)

$\left(R\cup Q\right)\cap P'$

d)

$\left(R\cup Q'\right)\cap P'$

50.

Jadual di sebelah menunjukkan permainan yang telah dipilih oleh 50 orang murid.

Diberi bahawa set H={murid memilih hoki}, set R={murid memilih ragbi} dan set F={murid yang memilih bola sepak}.

Antara berikut, gambar rajah Venn manakah yang mewakili maklumat dalam jadual di sebelah?

a)

b)

c)

d)

51.

Satu kajian yang dijalankan ke atas 48 orang murid menunjukkan terdapat 26 orang murid suka warna merah dan 24 orang murid suka warna biru. Terdapat 5 orang murid tidak menyukai kedua-dua warna itu.

Cari bilangan murid yang suka kedua-dua warna merah dan biru.

a)

2

b)

7

c)

36

d)

40

52.

Given P = {prime factors of 420}. State the set P

a)

{1, 2, 3, 5, 7}

b)

{1, 3, 5 , 7}

c)

{2, 3, 5, 7}

d)

{3, 5, 7}

53.

Given Q = {letters in the word "PERIBAHASA"}. Find $n\ \left(Q\right)$

a)

8

b)

10

c)

9

d)

11

54.

Which of the following is not the subset of set R= { $x:x$ is a 3-digit perfect cube}

a)

{ }

b)

{344}

c)

{ 125, 216}

d)

{512, 729}

55.

The Venn diagram shows the uniserval set, $\xi$ , set P and set Q. Find set Q' (Q' = not Q)

a)

{ 5 , 7}

b)

{ 1, 4, 6}

c)

{ 1, 4, 5, 6, 7}

d)

{0, 1, 4, 5, 6, 7 }

56.

In a Venn diagram, set T = { M, L, Y S} and set T' = {A, I}. Find the number of elements in the universal set, $\xi$ .

a)

2

b)

4

c)

5

d)

6

57.

The Venn diagram shows the relationship between the universal set $\xi$ , set A , set B, set C and set D.
Which of the following is not true?

a)

$B\ \subset\ A$

b)

$C\ \subset\ A$

c)

$C\ \subset\ B$

d)

$D\ \ \subset\ \ A$

58.

Which of the following is not true?

a)

$R'\ =P$

b)

$R\ \not\subset\ P$

c)

$Q\ \ne\ R$

d)

$a\ \in\ P$

59.

Find the intersection of sets $P\ \cap\ Q$

(a)

60.

Find $P\ \cap\ Q\ \cap\ R$

(a)

61.

Find $A\ \cap\ B\ \cap\ C$

(a)

62.

Given

$\xi$ = { $x:\ \ 2\ \le\ x\ \le9$ , x is an integer}
P = { x : x is an even number}
Q = { x : x is a factor of 4 }

Find $n\ \left(P\ \cap\ Q\right)$

(a)

63.

Given

$\xi$ = { x : 10 $\le$ x $\le$ 20, x is an integer }
P = { x : x is a multiple of 2 }
Q = { x: x is a multiple of 5 }

Find $n\ \left(P\cap\ Q\right)$

(a)

64.

Given $\xi\ =\$ { All months in a year}
P = { Months that have 31 days}
Q = { May, June, July, August, December }

Find $n\ \left(P\ \cap\ Q\right)$

(a)

65.

Find $A\cap\ B$

(a)

66.

Find $B\cap C$

(a)

67.

Find $A\ \cap\ B$

(a)

68.

Find $P\ \cap\ R$

(a)

69.

Find $Q\ \cap\ R$

(a)

70.

What is this type of graph called?

a)

Frequency Line Graph

b)

Frequency Diagram

c)

Bar Chart

d)

Frequency Polygon

71.

What is the modal group?

a)

1.50 - 1.60 m

b)

1.60 - 1.70 m

c)

1.50 - 1.60 m and 1.60 - 1.70 m

d)

1.50 - 1.70 m

72.

Give an estimate for how many people were taller than 1.63 m ?

a)

12

b)

9

c)

27

d)

22

73.

How many people were aged between 40 and 60?

a)

16

b)

5

c)

22

d)

21

74.

Give an estimate for how many people were older than 45 ?

a)

15

b)

7

c)

5

d)

23

75.

How many people were in the survey?

a)

110

b)

220

c)

300

d)

330

76.

How many people took over 45 seconds?

a)

100

b)

50

c)

60

d)

300

77.

Give an estimate for the number of people who took between 45 and 46 seconds?

a)

10

b)

50

c)

12

d)

15

78.

The pass mark for the test was 20. What fraction of the students passed the test?

a)

17/20

b)

3/8

c)

3/17

d)

3/20

79.

The teacher agreed that the test was too difficult and reduced the pass mark to 18. How many more students do you think should pass the test?

a)

3

b)

2

c)

4

d)

7

80.

What is the median length?

a)

40.5 cm

b)

30 cm

c)

24.5 cm

d)

32 cm

81.

Approximately how many items were longer than 34 cm?

a)

None

b)

8

c)

7.5

d)

7

82.

What is the Lower Quartile Length?

a)

28 cm

b)

30 cm

c)

33 cm

d)

20 cm

83.

What is the Upper Quartile Length?

a)

28 cm

b)

30 cm

c)

33 cm

d)

20 cm

84.

What is the Interquartile Range?

a)

28 cm

b)

12 cm

c)

33 cm

d)

5 cm

85.

What is the Median Value?

a)

18

b)

22

c)

26

d)

28

86.

What is the Upper Quartile Value?

a)

18

b)

22

c)

26

d)

28

87.

What is the Maximum Value?

a)

18

b)

22

c)

26

d)

28

88.

What is the Lower Quartile Value?

a)

18

b)

22

c)

26

d)

28

89.

What is the Interquartile Range?

a)

12

b)

10

c)

8

d)

6

90.

Which graph represents an inverse proportion relationship?

a)

b)

c)

d)

91.

Given that y is inversely proportional to x, what is the general equation?

a)

b)

c)

d)

92.

Which statement best describes an inverse proportion relationship between y and x?

a)

y increases then x will decrease

b)

y increases then x will increase

c)

y increases then x will remain the same

d)

y decreases then x will decrease

93.

In the great Amazon forest, the number of hunters, y and the number of animals, x. Is this relationship an inverse proportion relationship?

a)

No

b)

Yes

c)

I don't know

94.

6 men can paint a building in 15 days. Find the number of days taken for 5 men to paint the same building.

a)

10

b)

14

c)

18

d)

22

95.

It is given that p is inversely proportional to . When p is 20, q is 8. Find an equation connecting p and q.

a)

b)

c)

d)

96.

If 8 men can assemble 28 cars in one day, how many cars can 20 men assemble in one day?

a)

60

b)

70

c)

80

d)

90

97.

Given the above relationship, find the value of x when y=6.

a)

x=6

b)

x=-6

c)

x=-6 or +6

d)

x=4

98.

Given that y is inversely proportional to x and y =0.25 when x =4, find the value of y when x =5.

a)

0.1

b)

0.2

c)

1

d)

2

99.

Ten identical pipes turned on simultaneously can fill a swimming pool in 9 hours. How long will it take 6 pipes to fill the same swimming pool?

a)

12

b)

13

c)

14

d)

15

100.

The length of a violin string varies inversely with the frequency of its vibrations. A 14-inch long violin string vibrates at a frequency of 450 cycles per second.

Find the frequency of a 12-inch violin string.

a)

A) 526

b)

B) 524

c)

C) 525

d)

D) 523

101.

"c" varies inversely with "d". If c = 100 and d = 0.2, then write the formula for the relationship between c and d.

a)

A) c=19d

b)

B) c=20d

c)

C) c=-20d

d)

D) c=21d

102.

Two workers take 32 hours to complete a task.

How many workers are required to perform the same task in 4 hours?

a)

A) 16 workers

b)

B) 14 workers

c)

C) 12 workers

d)

D) 18 workers

103.

4 painters take 12 hours to finish painting a building.

How long will it take for 16 painters to paint the same building?

a)

A) 4 hours

b)

B) 5 hours

c)

C) 3 hours

d)

D) 6 hours

104.

What type of variation does this scenario represent?
The grade you earn in a class
and the number of assignments you complete
and the number of hours you study

a)

direct variation

b)

inverse variation

c)

joint variation

d)

none of these

105.

What kind of equation is this?
xy=8

a)

Linear Equation

b)

Direct Variation

c)

Inverse Variation

d)

Joint Variation

106.

The number of hours to paint a house varies inversely with the number of painters working. A 2400-square foot house can be painted in 27 hours by 6 painters. How many painters would need to work in order to paint the house in 18 hours?

a)

8 painters

b)

10 painters

c)

9 painters

d)

11 painters

107.

Which of the following represents indirect variation?

a)

y = kx

b)

y = k/x

c)

y = x/k

d)

y = mx + b

108.

Which equation shows a proportional relationship?

a)

y = 5x + 9

b)

x = 5y - 10

c)

y = 5x

d)

x = 5y + 48

109.

What "letter" also represents the COP?

a)

j

b)

k

c)

m

d)

n

110.

What is the COP of the following equation? y = 0.6x

a)

1/5

b)

2/5

c)

3/5

d)

4/5

111.

Which coordinate represents "k" or "COP"?

a)

(1,18)

b)

(2,50)

c)

(3,90)

d)

(6, 72)

112.

Write an equation using the following coordinates: (4, 132)

a)

x = 33y

b)

x = 0.33y

c)

y = 33x

d)

x = .3y

113.

There are about 1.61 kilometers in 1 mile. Let x represent a distance measured in kilometers and y represent the same distance measured in miles. Write an equation to represent this situation.

a)

y = 1.61x

b)

y = 0.62x

c)

y = 2x

d)

what equation?

114.

3 men can dig 2 identical trenches in 5 hours.Assuming that all the men work at the same rate, how long will it take 5 men to dig 7 such trenches?

a)

10.5

b)

11.5

c)

12

d)

6

115.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

116.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

117.

Find the value of the angle marked x....

a)

125

b)

70

c)

110

d)

55

118.

What is the m∠ADB?

a)

16^o

b)

32^o

c)

64^o

d)

14^o

119.

find the measure of angle a

a)

30

b)

21

c)

60

d)

120

120.

How many degrees is angle c ?

a)

20

b)

45

c)

70

d)

none of the above

121.

Find the value of the angle marked x....

a)

56

b)

90

c)

34

d)

44

122.

Find the value of the angle marked x....

a)

90

b)

45

c)

50

d)

100

123.

The points E, F and G lie on the circumference of a circle, centre O.

JGH is a tangent to the circle.

Find the value of x and the value of y.

a)

x=32 , y= 58

b)

x=29, y=58

c)

x=32 , y=32

124.

A, B, C and D are points on the circumference on a circle.Find the size of angle DAB.

a)

118

b)

62

c)

85

125.

DAE is a tangent to a circle.

Write down the size of angle ABC. Give the reason for your answer

a)

61 , alternate segments

b)

61 , same segments

c)

63, alternate segments

126.

Find the value of the angle marked x....

a)

88

b)

75

c)

92

d)

102

127.

Find the value of the angle marked x....

a)

61

b)

63

c)

117

d)

119

128.

Find the value of the angle marked x....

a)

32

b)

64

c)

16

d)

58

129.

In the diagram, TP and TQ are tangents to a circle with centre O. Find each value of x

a)

80

b)

45

c)

90

d)

180

130.

Find the value of the angle marked x....

a)

90

b)

43

c)

47

d)

53

131.

Find the value of the angle marked x....

a)

50

b)

100

c)

80

d)

90

132.

Find the value of the angle marked x....

a)

125

b)

70

c)

110

d)

55

133.

What is the m∠ADB?

a)

16^o

b)

32^o

c)

64^o

d)

14^o

134.

find the measure of angle a

a)

30

b)

21

c)

60

d)

120

135.

How many degrees is angle c ?

a)

20

b)

45

c)

70

d)

none of the above

136.

Find the value of the angle marked x....

a)

56

b)

90

c)

34

d)

44

137.

Find the value of the angle marked x....

a)

90

b)

45

c)

50

d)

100

138.

The points E, F and G lie on the circumference of a circle, centre O.

JGH is a tangent to the circle.

Find the value of x and the value of y.

a)

x=32 , y= 58

b)

x=29, y=58

c)

x=32 , y=32

139.

A, B, C and D are points on the circumference on a circle.Find the size of angle DAB.

a)

118

b)

62

c)

85

140.

DAE is a tangent to a circle.

Write down the size of angle ABC. Give the reason for your answer

a)

61 , alternate segments

b)

61 , same segments

c)

63, alternate segments

141.

Find the value of the angle marked x....

a)

88

b)

75

c)

92

d)

102

142.

Find the value of the angle marked x....

a)

61

b)

63

c)

117

d)

119

143.

Find the value of the angle marked x....

a)

32

b)

64

c)

16

d)

58

144.

In the diagram, TP and TQ are tangents to a circle with centre O. Find each value of x

a)

80

b)

45

c)

90

d)

180

145.

Simplify:

63 ÷ 7 - 3 ⋅ 2 + 4

a)

7

b)

-9

c)

-1

d)

3

146.

Simplify:

42 - 2 ⋅ (9 - 3) + 3

a)

243

b)

33

c)

24

d)

29

147.

Simplify:

24 ÷ 4 ⋅ 2 + (3²- 1 + 6)

a)

5

b)

14

c)

17

d)

26

148.

What is the opposite operation of addition?

a)

subtraction

b)

multiplication

c)

division

d)

square root

149.

What is the opposite operation of multiplication?

a)

addition

b)

subtraction

c)

division

d)

square root

150.

What is the opposite operation of squaring a number?

a)

taking the square root

b)

dividing

c)

multiplying

d)

subtracting

151.

How do you solve 9x - 4 = 23

a)

divide both sides by 4, then add 9

b)

add 4 to both sides, then divide both sides by 9

c)

divide both sides by 9, then add 4

d)

add 4 to both sides, then divide by 23

152.

The first step to solving the equation g - 3 = -12 is to . . .

a)

divide by -3 on both sides of the equal sign

b)

multiply by -3 on both sides of the equal sign

c)

subtract 3 on both sides of the equal sign

d)

add 3 on both sides of the equal sign

153.

What is the first step in solving for w in the equation 3w + 5 = 14?

a)

Add 5 to both sides of the equal sign

b)

Divide by 3 on both sides of the equal sign

c)

Subtract 5 from both sides of the equal sign

d)

Multiply by 3 on both sides of the equal sign

154.

19 + a = -50

a)

a = -950

b)

a = -69

c)

a = -31

d)

a = -50/19

155.

Solve the equation:
-5x = 25

a)

x = 20

b)

x = -20

c)

x = -5

d)

x = 5

156.

3x - 5 = -26

a)

x=-21

b)

x=21

c)

x=-7

d)

x=61

157.

Solve for x:
4x + 1 = 7x - 5

a)

-1

b)

2

c)

6/11

d)

8

158.

Solve: -7(z - 6) = -70

a)

16

b)

-16

c)

8

d)

-1/2

159.

Which segment is the diameter?

a)

AC

b)

BD

c)

LM

d)

CE

160.

Which segment is a radius?

a)

LM

b)

DC

c)

BD

d)

ML

161.

Which segment is a chord and NOT a diameter?

a)

LM

b)

DC

c)

AC

d)

BD

162.

Which of the following is a major arc?

a)

Arc AB

b)

Arc EDB

c)

Arc DLB

d)

Arc DMB

163.

Which of the following is a minor arc?

a)

Arc AB

b)

Arc EDB

c)

Arc DLM

d)

Arc DMA

164.

Which of the following is a semi-circle?

a)

Arc AB

b)

Arc EDB

c)

Arc DLB

d)

Arc DMA

165.

If $\overline{BE}\cong\overline{CD}$ , then what can you determine about the arc measures?
(Hint: Use Chord Theorem #3)

a)

$measure\ of\ arc\ BE\ +\ measure\ of\ arc\ CD=\ 360^{\circ}$

b)

$Arc\ BE\cong Arc\ CD$

c)

$Arc\ BC\cong Arc\ ED$

d)

Not enough information

166.

If measure arc BD is $140^{\circ}$ , then what is the measure of arc CD?
(Hint: Use Chord Theorem #3)

a)

$360^{\circ}$

b)

$140^{\circ}$

c)

$280^{\circ}$

d)

$80^{\circ}$

167.

If measure of arc BC is $80^{\circ}$ . Find the measure of arc CD.
Hint: Use the Chord Theorem #3)

a)

$140^{\circ}$

b)

$280^{\circ}$

c)

$80^{\circ}$

d)

$250^{\circ}$

168.

If $\overline{BD}\cong\overline{DC}$ and $\overline{EF}\ \perp\ \overline{BC}$ , what conclusions can say about $\overline{EF}$ ?
(Hint: Use Chord Theorem #1)

a)

undefined is the radius of circle A

b)

undefined is a secant line of circle A

c)

$\overline{EF}$ is the diameter of circle A

d)

undefined is the tangent line of circle A

169.

Which of the following will make the statement true:
If $\overline{EF}$ is a diameter to Circle A and $\overline{EF}\ \perp\ \overline{BC}$ then
(Hint: Use Chord Theorem #2)

a)

$\overline{BD}\cong\overline{DC}$

b)

$ED=\frac{1}{2}BC$

c)

$Arc\ BC\ =\ \frac{1}{2}\ Arc\ BFC$

d)

$Arc\ BE\ =\ \frac{1}{2}\ Arc\ FC$

170.

$BD=8$ and $AC=3$ in circle A. Find the radius $AB.$

Hint: Use Chord Theorem #1 and the Pythagorean Theorem

a)

$4\sqrt{3}$

b)

$5$

c)

$4$

d)

$\sqrt{5}$

171.

Find the $measure\ of\ arc\ BD.$

Hint: Use Chord Theorem #4 and the sum of all the arcs in a circle is 360 degrees.

a)

$133^{\circ}$

b)

$266^{\circ}$

c)

$94^{\circ}$

d)

$188^{\circ}$

172.

Use the following diagram. What is the value of x and y?

Hint: This uses all the chord theorems and the Pythagorean Theorem

a)

$x=6\ and\ y=16$

b)

$x=16\ and\ y=6$

c)

$x=10\ and\ y=8$

d)

$x=8\ and\ y=10$

173.

Find the measure of Arc MN

a)

66

b)

73.5

c)

147

d)

33

174.

Use the diagram of circle A.

Which expression and deductive reasoning can be used to find the value of y?

a)

$2y+1=\ 5x-18$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chord is equal to its corresponding arc.

b)

$y+3=3x-4$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chord is equal to its corresponding arc.

c)

$y+4+2y+1$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chords are added together.

d)

$y+4=2y+1$ because if a diameter is perpendicular to a chord, its the perpendicular bisector to the chord. Therefore the chord is divided into two equal halves.

175.

Find the measure of arc JH if segments KH and JG are diameters.

a)

93

b)

130

c)

120

d)

95

176.

If the measure of arc ABC = 210°, what is the measure of ∠AOC?

a)

150°

b)

100°

c)

210°

d)

105°

177.

What is the measure of ∠PTQ?

a)

100°

b)

140°

c)

180°

d)

120°

178.

Find the arc measure for arc RQT

a)

335˚

b)

126˚

c)

224˚

d)

94˚

179.

a)

A

b)

B

c)

C

d)

D

180.

a)

A

b)

B

c)

C

d)

D

181.

a)

A

b)

B

c)

C

d)

D

182.

a)

A

b)

B

c)

C

d)

D

183.

Find m∠PRQ.

a)

39°

b)

90°

c)

51°

d)

15°

184.

What are the coordinates of the center and the radius of the circle with equation:

(x - 4)² + (y - 3)² = 25 ?

a)

Center (4,3)

Radius = 5 units

b)

Center (4,3)

Radius = 25 units

c)

Center (-4,-3)

Radius = 25 units

d)

Center (-4,-3)

Radius = 5 units

185.

What is the center of the circle with this equation is (x+2)²+(y-4)²=41?

a)

(-2,41)

b)

(-2,4)

c)

(2,-4)

d)

(2,41)

186.

What is the radius of the circle

(x+7)²+(y-2)²=144?

a)

7

b)

12

c)

24

d)

144

187.

The diameter of a circle has length 12. The center is at (-5, 2). Give the equation of the circle.

a)

(x - 2)²+ (y + 5)²= 36

b)

(x - 5)² + (y + 2)² = 6

c)

(x + 5)²+ (y - 2)²= 36

d)

(x + 2)²+ (y - 5)²= 6

188.

What is the standard equation of a circle?

a)

(x-k)² + (y-h)² = r²

b)

(x+h)² + (y+k)² = r²

c)

(x-h)² + (y-k)² = r²

d)

(k-x)² + (h-y)² = r²

MATHEMATICSQUIZ

Total questions: 188

Worksheet time: 6hrs 59mins

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