What is the probability that two randomly chosen positive integers are coprime?
Correct answer: 6/π²
The correct answer is 6/π².
Mathematics
What's Your Score Out of 20? | Mathematics Quiz
Test yourself with this Mathematics quiz and see how many you can get right.
questions 20.
About this quiz
What's Your Score Out of 20? | Mathematics Quiz
Test yourself with this Mathematics quiz and see how many you can get right.
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What you'll explore
This quiz focuses on Mathematics and contains quiz questions with answers you can review after the challenge. Test what you already know, then use the explanations below to turn the questions into useful learning points.
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Quiz questions, answers and the facts behind them
Use these explanations after the challenge to check the correct answers and discover a little more about the subject.
Which number is the smallest positive integer that is both triangular and square after 1?
Correct answer: 36
Thirty-six is both 6 squared and the eighth triangular number.
What is the sum of the interior angles of a pentagon?
Correct answer: 540 degrees
A pentagon's interior angles sum to 540 degrees.
What is the value of 1/2 + 1/3?
Correct answer: 5/6
Using sixths gives 3/6 + 2/6 = 5/6.
What is 3 to the power of 4?
Correct answer: 81
Three to the fourth power is 3 × 3 × 3 × 3 = 81.
What is the median of 2, 4, 7, 9, 12?
Correct answer: 7
The middle value of the ordered list is 7.
What is the volume of a cube with side length 3?
Correct answer: 27
Cube volume is side cubed, so 3³ = 27.
What is the derivative of ln(x) for x greater than zero?
Correct answer: 1/x
The derivative of the natural logarithm ln(x) is 1/x.
What is the hypotenuse of a right triangle with legs 6 and 8?
Correct answer: 10
By the Pythagorean theorem, √(36+64)=10.
Which theorem states that a continuous function on a closed interval attains both a maximum and a minimum?
Correct answer: Extreme Value Theorem
The Extreme Value Theorem guarantees absolute extrema for continuous functions on closed bounded intervals.
Which theorem relates the side lengths of a right-angled triangle?
Correct answer: Pythagorean theorem
The Pythagorean theorem states that a² plus b² equals c² in a right-angled triangle.
What is the arithmetic mean of 4, 8, 10, and 14?
Correct answer: 9
The sum is 36, and 36 divided by 4 equals 9.
How many edges does a cube have?
Correct answer: 12
A cube has 12 edges.
If 3x - 4 = 17, what is x?
Correct answer: 7
Adding 4 gives 3x = 21, so x = 7.
What is the reciprocal of 4?
Correct answer: 1/4
The reciprocal of 4 is 1 divided by 4.
What is 0.125 written as a fraction in simplest form?
Correct answer: 1/8
0.125 equals one eighth.
Which of these numbers is prime?
Correct answer: 29
Twenty-nine has no positive divisors other than 1 and 29.
How many degrees are in a right angle?
Correct answer: 90 degrees
A right angle measures 90 degrees.
What is 2 to the power of 8?
Correct answer: 256
Two raised to the eighth power equals 256.
How many degrees is each interior angle of a regular hexagon?
Correct answer: 120 degrees
Each interior angle of a regular hexagon measures 120 degrees.
questions
- What is the probability that two randomly chosen positive integers are coprime?
- Which number is the smallest positive integer that is both triangular and square after 1?
- What is the sum of the interior angles of a pentagon?
- What is the value of 1/2 + 1/3?
- What is 3 to the power of 4?
- What is the median of 2, 4, 7, 9, 12?
- What is the volume of a cube with side length 3?
- What is the derivative of ln(x) for x greater than zero?
- What is the hypotenuse of a right triangle with legs 6 and 8?
- Which theorem states that a continuous function on a closed interval attains both a maximum and a minimum?
- Which theorem relates the side lengths of a right-angled triangle?
- What is the arithmetic mean of 4, 8, 10, and 14?
- How many edges does a cube have?
- If 3x - 4 = 17, what is x?
- What is the reciprocal of 4?
- What is 0.125 written as a fraction in simplest form?
- Which of these numbers is prime?
- How many degrees are in a right angle?
- What is 2 to the power of 8?
- How many degrees is each interior angle of a regular hexagon?
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