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Math Practice

Browse topic-based practice sets for Math without mixing them into the main question archive.

18 practice setsPage 1 of 1

6 topics

Dice16 Probability16 Algebra1 Circle1+2 more

Question 1

Open practice

Two dice are rolled. What is the probability that their sum is an even number?

A

A: 1/2

B

B: 1/4

C

C: 3/4

D

D: 2/3

MathHardProbability Dice

Answer and explanation

Correct Answer: A — A: 1/2

Sum is even if both dice show even or both show odd. P(even)=(1/21/2)+(1/21/2)=1/4+1/4=1/2.

Question 2

Open practice

A die is rolled once. What is the probability of getting a composite number?

A

A: 1/2

B

B: 1/3

C

C: 1/6

D

D: 2/3

MathMediumProbability Dice

Answer and explanation

Correct Answer: B — B: 1/3

Composite numbers on a die = {4,6}. Probability = 2/6 = 1/3.

Question 3

Open practice

Two dice are thrown. What is the probability that the product of the numbers is even?

A

A: 1/2

B

B: 1/4

C

C: 3/4

D

D: 2/3

MathHardProbability Dice

Answer and explanation

Correct Answer: C — C: 3/4

The product is even if at least one die shows an even number. Probability(even) = 1 - P(both odd). P(both odd)= (3/6)*(3/6)=1/4. So required = 1-1/4=3/4.

Question 4

Open practice

A die is rolled once. What is the probability of getting an odd number?

A

A: 1/2

B

B: 1/3

C

C: 2/3

D

D: 1/6

MathEasyProbability Dice

Answer and explanation

Correct Answer: A — A: 1/2

Odd numbers = {1,3,5}. Probability = 3/6 = 1/2.

Question 5

Open practice

Two dice are rolled. What is the probability that both show even numbers?

A

A: 1/4

B

B: 1/3

C

C: 1/6

D

D: 1/2

MathHardProbability Dice

Answer and explanation

Correct Answer: A — A: 1/4

Even numbers = {2,4,6}. Probability for one die = 3/6 = 1/2. For two dice = (1/2)*(1/2)=1/4.

Question 6

Open practice

Two dice are thrown. What is the probability of getting a sum less than 5?

A

A: 1/6

B

B: 1/12

C

C: 1/9

D

D: 1/18

MathMediumProbability Dice

Answer and explanation

Correct Answer: A — A: 1/6

Sums less than 5 are {2,3,4}. Favorable pairs = 1+2+3=6. Probability = 6/36 = 1/6.

Question 7

Open practice

A die is rolled. What is the probability of not getting a 5?

A

A: 1/6

B

B: 5/6

C

C: 1/3

D

D: 2/3

MathMediumProbability Dice

Answer and explanation

Correct Answer: B — B: 5/6

Total outcomes = 6. Not 5 means 5 outcomes. Probability = 5/6.

Question 8

Open practice

Two dice are thrown together. What is the probability that the sum is 11?

A

A: 1/6

B

B: 1/12

C

C: 1/18

D

D: 1/36

MathHardProbability Dice

Answer and explanation

Correct Answer: C — C: 1/18

Pairs for sum 11 are {(5,6),(6,5)}. Favorable = 2, total = 36. Probability = 2/36 = 1/18.

Question 9

Open practice

A die is rolled once. What is the probability of getting a number greater than 2?

A

A: 1/2

B

B: 2/3

C

C: 1/3

D

D: 5/6

MathEasyProbability Dice

Answer and explanation

Correct Answer: B — B: 2/3

Numbers greater than 2 are {3,4,5,6}. Probability = 4/6 = 2/3.

Question 10

Open practice

A die is rolled once. What is the probability of getting a multiple of 3?

A

A: 1/2

B

B: 1/3

C

C: 2/3

D

D: 1/6

MathMediumProbability Dice

Answer and explanation

Correct Answer: B — B: 1/3

Multiples of 3 on a die are {3, 6}. Probability = 2/6 = 1/3.

Question 11

Open practice

Two dice are rolled. What is the probability of getting doublets (same number on both dice)?

A

A: 1/6

B

B: 1/12

C

C: 1/18

D

D: 1/36

MathHardProbability Dice

Answer and explanation

Correct Answer: A — A: 1/6

Doublets are {(1,1),(2,2),(3,3),(4,4),(5,5),(6,6)}. Favorable = 6, total = 36. Probability = 6/36 = 1/6.

Question 12

Open practice

Two dice are thrown together. What is the probability of getting a sum of 7?

A

A: 1/6

B

B: 1/12

C

C: 1/18

D

D: 1/9

MathHardProbability Dice

Answer and explanation

Correct Answer: A — A: 1/6

Pairs for sum 7 are {(1,6),(2,5),(3,4),(4,3),(5,2),(6,1)}. Favorable = 6, total = 36. Probability = 6/36 = 1/6.

Question 13

Open practice

If a die is rolled once, what is the probability of getting a number less than 3?

A

A: 1/3

B

B: 1/6

C

C: 2/3

D

D: 1/2

MathMediumProbability Dice

Answer and explanation

Correct Answer: A — A: 1/3

Numbers less than 3 are {1, 2}. Probability = 2/6 = 1/3.

Question 14

Open practice

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

A

A: 1/2

B

B: 1/3

C

C: 2/3

D

D: 1/6

MathMediumProbability Dice

Answer and explanation

Correct Answer: A — A: 1/2

Prime numbers on a die are {2, 3, 5}. Probability = 3/6 = 1/2.

Question 15

Open practice

A die is rolled once. What is the probability of getting an even number?

A

A: 1/2

B

B: 1/3

C

C: 2/3

D

D: 1/6

MathEasyProbability Dice

Answer and explanation

Correct Answer: A — A: 1/2

Even numbers on a die are {2, 4, 6}. Probability = 3/6 = 1/2.

Question 16

Open practice

A die is rolled once. What is the probability of getting a number greater than 4?

A

A: 1/2

B

B: 1/3

C

C: 1/4

D

D: 2/3

MathHardProbability Dice

Answer and explanation

Correct Answer: B — B: 1/3

Numbers greater than 4 on a die are {5, 6}. So favorable outcomes = 2, total outcomes = 6. Probability = 2/6 = 1/3.

Question 17

Open practice

The radius of a circle is 7 cm. What is the area of the circle?

A

A: 154 cm²

B

B: 144 cm²

C

C: 176 cm²

D

D: 121 cm²

MathMediumGeometry Circle

Answer and explanation

Correct Answer: A — A: 154 cm²

Area of circle = πr². Substitute r = 7, use π = 22/7.

Question 18

Open practice

If the roots of the quadratic equation 2x² – 7x + k = 0 are equal, then what is the value of k?

A

A: 12.25

B

B: 49/8

C

C: 24.5

D

D: 14

MathHardAlgebra Quadratic Equations

Answer and explanation

Correct Answer: B — B: 49/8

For equal roots, discriminant (D) = 0. Here, D = b² – 4ac. Substitute a = 2, b = –7, c = k and solve.

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Math Practice