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Mathematics True or False

Guess whether these mathematical statements are true, false or unknown.
Quiz by kaderschaufel
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Last updated: July 6, 2019
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First submittedJuly 5, 2019
Times taken237
Average score60.0%
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1. The circumference of a circle is Pi times its radius.
True ✓
False ✓
Unknown ✓
It's Pi times the diameter.
2. Pi is a real number.
True ✓
False ✓
Unknown ✓
3. The square root of any prime number is irrational.
True ✓
False ✓
Unknown ✓
4. The highest prime number that exists is 2^82.589.933 - 1
True ✓
False ✓
Unknown ✓
There are infinitely many prime numbers.
5. 0/0=1
True ✓
False ✓
Unknown ✓
Division by 0 is undefined, even in this case.
6. In every triangle, the angles add up to 180°
True ✓
False ✓
Unknown ✓
7. In a triangle, the largest side is always opposite the largest angle.
True ✓
False ✓
Unknown ✓
8. (a+b)^2=a^2+b^2
True ✓
False ✓
Unknown ✓
Counter-example a=b=1, then the left side equals 4 and the right side equals 2.
9. (a*b)^2=(a^2)*(b^2)
True ✓
False ✓
Unknown ✓
10. There are more rational numbers than integers.
True ✓
False ✓
Unknown ✓
11. There are more real numbers than rationals.
True ✓
False ✓
Unknown ✓
12. a^(b^c)=(a^b)^c
True ✓
False ✓
Unknown ✓
Counter-example a=2, b=1, c=2: then, the left side equals 2 and the right side equals 4.
13. There are infinitely many perfect numbers.
True ✓
False ✓
Unknown ✓
A perfect number is a number that happens to equal the sum of its factors - i.e. 6 has factors 1,2,3 and 6=1+2+3, so 6 is perfect
14. 1+1/2+1/4+1/8+1/16...=2
True ✓
False ✓
Unknown ✓
15. 1+1/2+1/3+1/4+1/5...=4
True ✓
False ✓
Unknown ✓
This sum actually goes to infinity.
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