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Quiz Bowl: Probability & Number Theory

Total questions: 143

Worksheet time: 1hrs 12mins

Name
Class
Date
1.

What is the probability of getting heads when tossing a coin once?

a)

0

b)

1

c)

1/2

d)

1/4

2.

What is the probability of rolling a 3 on a fair die?

a)

1/6

b)

1/3

c)

1/2

d)

1

3.

Which number is prime?

a)

4

b)

6

c)

7

d)

9

4.

Which number is composite?

a)

2

b)

5

c)

9

d)

11

5.

What is the smallest prime number?

a)

0

b)

1

c)

2

d)

3

6.

Which of these numbers is divisible by 5?

a)

12

b)

25

c)

34

d)

47

7.

Which of these numbers is divisible by 2?

a)

13

b)

25

c)

46

d)

51

8.

Which of these numbers is divisible by 10?

a)

14

b)

30

c)

37

d)

49

9.

What is the greatest common factor (GCF) of 12 and 18?

a)

2

b)

3

c)

6

d)

12

10.

What is the least common multiple (LCM) of 3 and 4?

a)

6

b)

8

c)

9

d)

12

11.

What is the probability of picking a red card from a standard deck of 52 cards?

a)

1/2

b)

1/3

c)

1/4

d)

1/52

12.

What is the probability of getting an even number on a die?

a)

1/6

b)

1/3

c)

1/2

d)

2/3

13.

Which of these numbers is NOT prime?

a)

2

b)

5

c)

9

d)

11

14.

Which is a factor of 36?

a)

7

b)

8

c)

9

d)

11

15.

Which is a multiple of 8?

a)

14

b)

24

c)

26

d)

30

16.

What is the probability of picking a vowel from the word "MATH"?

a)

1/4

b)

1/3

c)

1/2

d)

0

17.

What is the probability of rolling a number less than 3 on a die?

a)

1/6

b)

1/3

c)

1/2

d)

2/3

18.

Which number is divisible by 9?

a)

45

b)

52

c)

63

d)

Both A and C

19.

Which number is divisible by 6?

a)

18

b)

20

c)

25

d)

35

20.

Which is the smallest 2-digit prime number?

a)

10

b)

11

c)

13

d)

17

21.

Which is the largest single-digit prime number?

a)

5

b)

7

c)

9

d)

11

22.

Which number is NOT divisible by 3?

a)

12

b)

18

c)

22

d)

27

23.

Which of these is an odd number?

a)

6

b)

8

c)

11

d)

20

24.

Which number is a prime factor of 20?

a)

2

b)

3

c)

4

d)

6

25.

Which number is a common factor of 24 and 36?

a)

2

b)

6

c)

12

d)

All of the above

26.

Which number is a common multiple of 3 and 5?

a)

10

b)

12

c)

15

d)

20

27.

What is the probability of picking an odd number from 1-10?

a)

1/2

b)

1/3

c)

2/5

d)

3/10

28.

What is the probability of getting tails when tossing a coin once?

a)

1/4

b)

1/2

c)

3/4

d)

1

29.

Which is the next prime number after 17?

a)

18

b)

19

c)

21

d)

23

30.

Which is the next multiple of 7 after 28?

a)

30

b)

32

c)

35

d)

36

31.

What is the smallest multiple of 9 greater than 30?

a)

36

b)

45

c)

54

d)

63

32.

Which of these is a prime number between 20 and 30?

a)

21

b)

23

c)

25

d)

27

33.

Which is the probability of rolling a 7 on a standard die?

a)

0

b)

1/6

c)

1/12

d)

1/2

34.

Which number is divisible by 4?

a)

20

b)

22

c)

27

d)

35

35.

Which number is divisible by both 2 and 3?

a)

8

b)

10

c)

12

d)

15

36.

What is the GCF of 8 and 12?

a)

2

b)

3

c)

4

d)

6

37.

What is the LCM of 6 and 8?

a)

12

b)

24

c)

36

d)

48

38.

Which of these is a prime factor of 50?

a)

2

b)

3

c)

5

d)

Both A and C

39.

Which number is a multiple of both 4 and 6?

a)

12

b)

16

c)

20

d)

24

40.

Which is the smallest 3-digit prime number?

a)

100

b)

101

c)

103

d)

107

41.

Which number is divisible by 11?

a)

55

b)

77

c)

121

d)

All of the above

42.

Which is the probability of rolling a number greater than 4 on a die?

a)

1/6

b)

2/6

c)

3/6

d)

4/6

43.

Which number is NOT prime?

a)

13

b)

17

c)

21

d)

23

44.

Which is the probability of getting an Ace from a 52-card deck?

a)

1/52

b)

2/52

c)

4/52

d)

13/52

45.

Which number is divisible by 12?

a)

24

b)

36

c)

48

d)

All of the above

46.

Which is the smallest prime factor of 27?

a)

1

b)

3

c)

9

d)

27

47.

Which number is a multiple of 15?

a)

20

b)

25

c)

30

d)

40

48.

Which number is divisible by both 2 and 5?

a)

15

b)

20

c)

25

d)

30

49.

Which is the probability of rolling a prime number on a die?

a)

2/6

b)

3/6

c)

4/6

d)

5/6

50.

Which is the smallest 2-digit multiple of 7?

a)

10

b)

14

c)

21

d)

28

51.

What is the probability of rolling a number greater than 2 on a die?

a)

1/6

b)

2/6

c)

4/6

d)

5/6

52.

Which is the probability of drawing a king from a 52-card deck?

a)

1/13

b)

1/26

c)

4/52

d)

Both A and C

53.

Which is the probability of rolling a multiple of 3 on a die?

a)

1/6

b)

2/6

c)

3/6

d)

4/6

54.

What is the GCF of 24 and 40?

a)

2

b)

4

c)

8

d)

12

55.

What is the LCM of 8 and 12?

a)

12

b)

16

c)

24

d)

36

56.

Which is the smallest prime factor of 91?

a)

3

b)

7

c)

13

d)

91

57.

Which is the largest 2-digit prime number?

a)

89

b)

97

c)

99

d)

95

58.

What is the probability of picking a vowel from the word "PROBABILITY"?

a)

3/11

b)

4/11

c)

5/11

d)

6/11

59.

Which is the probability of rolling a prime number on a die?

a)

2/6

b)

3/6

c)

4/6

d)

5/6

60.

Which number is divisible by 11?

a)

99

b)

110

c)

121

d)

All of the above

61.

What is the LCM of 15 and 20?

a)

30

b)

45

c)

60

d)

75

62.

Which is the GCF of 48 and 64?

a)

4

b)

8

c)

12

d)

16

63.

What is the probability of drawing a red card that is a heart from a 52-card deck?

a)

1/2

b)

1/4

c)

1/13

d)

1/26

64.

Which is a prime number between 50 and 60?

a)

51

b)

53

c)

55

d)

57

65.

What is the probability of rolling a number less than 5 on a die?

a)

1/6

b)

2/6

c)

3/6

d)

4/6

66.

Which is the LCM of 9 and 12?

a)

18

b)

24

c)

36

d)

48

67.

What is the probability of rolling a 2 or a 4 on a die?

a)

1/6

b)

2/6

c)

3/6

d)

4/6

68.

Which number is NOT prime?

a)

29

b)

31

c)

33

d)

37

69.

Which number is the smallest 3-digit prime?

a)

101

b)

103

c)

107

d)

109

70.

Which is the GCF of 18 and 24?

a)

2

b)

3

c)

6

d)

12

71.

What is the probability of picking the letter "A" from the word "MATHEMATICS"?

a)

2/11

b)

3/11

c)

4/11

d)

5/11

72.

Which is the smallest prime factor of 100?

a)

2

b)

5

c)

10

d)

25

73.

Which is the probability of tossing a coin and getting heads or tails?

a)

1/4

b)

1/2

c)

2/2

d)

0

74.

Which is the probability of drawing a black card from a deck?

a)

1/2

b)

1/3

c)

1/4

d)

1/52

75.

What is the LCM of 10 and 15?

a)

20

b)

30

c)

40

d)

60

76.

Which is the GCF of 30 and 45?

a)

5

b)

10

c)

15

d)

20

77.

Which is the probability of drawing an Ace or King from a 52-card deck?

a)

4/52

b)

8/52

c)

12/52

d)

16/52

78.

Which is the probability of rolling an even number greater than 2?

a)

1/6

b)

2/6

c)

3/6

d)

4/6

79.

Which is the prime factorization of 36?

a)

2 × 18

b)

2 × 2 × 3 × 3

c)

6 × 6

d)

9 × 4

80.

Which is the probability of picking a consonant from the word "PROBABILITY"?

a)

5/11

b)

6/11

c)

7/11

d)

8/11

81.

Which is the LCM of 4, 6, and 8?

a)

12

b)

24

c)

36

d)

48

82.

Which is the probability of rolling a number less than 6 on a die?

a)

5/6

b)

4/6

c)

3/6

d)

6/6

83.

Which is the probability of drawing a diamond card from a 52-card deck?

a)

1/2

b)

1/3

c)

1/4

d)

1/13

84.

Which is the probability of tossing 2 coins and getting one head and one tail?

a)

1/4

b)

1/2

c)

3/4

d)

1

85.

Which is the GCF of 72 and 108?

a)

12

b)

18

c)

24

d)

36

86.

Which is the probability of drawing a face card (J,Q,K) from a deck?

a)

1/13

b)

3/13

c)

9/52

d)

12/52

87.

Which is the smallest prime factor of 84?

a)

2

b)

3

c)

7

d)

12

88.

Which is the probability of rolling a multiple of 2 or 3 on a die?

a)

2/6

b)

3/6

c)

4/6

d)

5/6

89.

Which is the LCM of 5, 6, and 10?

a)

30

b)

60

c)

90

d)

120

90.

Which is the GCF of 100 and 120?

a)

10

b)

20

c)

30

d)

40

91.

Which is the probability of rolling a number greater than 3 on a die?

a)

1/6

b)

2/6

c)

3/6

d)

4/6

92.

Which number is NOT prime?

a)

41

b)

43

c)

45

d)

47

93.

Which is the probability of tossing 3 coins and getting all heads?

a)

1/2

b)

1/4

c)

1/6

d)

1/8

94.

Which is the LCM of 7 and 9?

a)

49

b)

56

c)

63

d)

72

95.

Which is the GCF of 54 and 72?

a)

6

b)

9

c)

18

d)

36

96.

Which is the probability of drawing a queen or ace from a 52-card deck?

a)

2/52

b)

4/52

c)

8/52

d)

12/52

97.

the LCM of 12, 15, and 20?

a)

30

b)

60

c)

120

d)

180

98.

The probability of rolling two dice and getting a sum of 7 is:

a)

1/12

b)

1/6

c)

1/8

d)

1/9

99.

What is the smallest 3-digit number divisible by 9?

a)

100

b)

108

c)

111

d)

117

100.

Which is the largest 3-digit number divisible by 12?

a)

996

b)

992

c)

984

d)

972

101.

A bag has 4 red and 6 blue marbles. If one marble is drawn, what is the probability it is not red?

a)

1/2

b)

3/5

c)

2/3

d)

4/5

102.

Which is the prime factorization of 210?

a)

2 × 3 × 5 × 7

b)

2 × 5 × 11

c)

3 × 5 × 14

d)

2 × 3 × 7 × 11

103.

A number is divisible by both 6 and 8. What is the smallest number it must also be divisible by?

a)

12

b)

18

c)

24

d)

48

104.

If two dice are rolled, what is the probability of getting doubles?

a)

1/12

b)

1/6

c)

1/8

d)

1/9

105.

What is the GCF of 128 and 192?

a)

16

b)

32

c)

48

d)

64

106.

What is the LCM of 16 and 24?

a)

48

b)

72

c)

96

d)

144

107.

A coin is tossed 4 times. What is the probability of getting all heads?

a)

1/8

b)

1/12

c)

1/16

d)

1/32

108.

Which is the smallest 4-digit prime number?

a)

1001

b)

1009

c)

1011

d)

1013

109.

Which is the largest 4-digit number divisible by 15?

a)

9990

b)

9995

c)

9999

d)

10000

110.

A bag has 5 red and 7 blue balls. What is the probability of picking a red ball?

a)

5/7

b)

5/12

c)

7/12

d)

1/2

111.

What is the probability of drawing an even number card from 1-10?

a)

1/10

b)

2/10

c)

4/10

d)

5/10

112.

Which is the GCF of 144 and 216?

a)

24

b)

36

c)

48

d)

72

113.

Which is the LCM of 18 and 30?

a)

60

b)

90

c)

120

d)

180

114.

A coin is tossed 5 times. What is the probability of getting at least one head?

a)

1/2

b)

1/16

c)

15/16

d)

31/32

115.

Which is the sum of the first 10 prime numbers?

a)

100

b)

120

c)

129

d)

150

116.

What is the probability of rolling a 4 and then a 5 with two dice rolls?

a)

1/12

b)

1/18

c)

1/36

d)

1/6

117.

Which is the largest 3-digit prime number?

a)

991

b)

997

c)

999

d)

995

118.

Which is the probability of drawing a red card or a king from a 52-card deck?

a)

1/2

b)

14/52

c)

26/52

d)

28/52

119.

What is the GCF of 225 and 300?

a)

25

b)

50

c)

75

d)

100

120.

What is the LCM of 25 and 40?

a)

100

b)

200

c)

300

d)

400

121.

What is the probability of getting a prime number when rolling a die twice?

a)

9/36

b)

12/36

c)

18/36

d)

9/18

122.

What is the smallest 4-digit number divisible by 7?

a)

1001

b)

1004

c)

1007

d)

1015

123.

What is the probability of rolling a number less than 4 or greater than 5 on a die?

a)

2/6

b)

3/6

c)

4/6

d)

5/6

124.

Which is the product of the first 5 prime numbers?

a)

210

b)

231

c)

300

d)

330

125.

What is the probability of tossing 2 coins and getting both the same?

a)

1/4

b)

1/2

c)

3/4

d)

1

126.

Which is the largest prime factor of 315?

a)

3

b)

5

c)

7

d)

9

127.

A bag has 6 red, 4 blue, and 5 green balls. What is the probability of picking a green?

a)

5/15

b)

5/12

c)

5/13

d)

5/14

128.

What is the probability of rolling an odd number greater than 3 on a die?

a)

1/6

b)

2/6

c)

3/6

d)

4/6

129.

Which is the smallest common multiple of 9, 12, and 15?

a)

90

b)

120

c)

180

d)

240

130.

A coin is tossed and a die is rolled. What is the probability of getting heads and a 6?

a)

1/6

b)

1/12

c)

1/3

d)

1/2

131.

What is the GCF of 120, 180, and 300?

a)

20

b)

30

c)

40

d)

60

132.

Which is the LCM of 18, 24, and 30?

a)

120

b)

180

c)

240

d)

360

133.

What is the probability of rolling a prime number or an even number on a die?

a)

2/6

b)

3/6

c)

4/6

d)

5/6

134.

Which is the largest prime number less than 100?

a)

97

b)

98

c)

99

d)

100

135.

A die is rolled twice. What is the probability of getting a sum of 10?

a)

1/12

b)

1/18

c)

1/9

d)

1/6

136.

Which is the prime factorization of 540?

a)

2 × 2 × 3 × 3 × 3 × 5

b)

2 × 2 × 2 × 3 × 5 × 9

c)

2 × 3 × 5 × 18

d)

2 × 2 × 3 × 5 × 6

137.

What is the probability of drawing a black queen from a 52-card deck?

a)

1/52

b)

2/52

c)

1/26

d)

Both B and C

138.

Which is the smallest 5-digit number divisible by 12?

a)

10002

b)

10008

c)

10012

d)

10020

139.

Which is the probability of tossing 4 coins and getting exactly 3 heads?

a)

1/8

b)

1/4

c)

3/16

d)

4/16

140.

What is the LCM of 45 and 60?

a)

90

b)

120

c)

180

d)

240

141.

What is the GCF of 256 and 320?

a)

32

b)

64

c)

128

d)

160

142.

Which is the probability of rolling at least one 6 when rolling 2 dice?

a)

1/6

b)

5/36

c)

11/36

d)

1/36

143.

What is the smallest prime factor of 1001?

a)

7

b)

11

c)

13

d)

17