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Number Properties Click Quiz

Match the numbers to the description that matches them.
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Quiz by Dimby
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Last updated: April 20, 2023
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First submittedApril 20, 2023
Times taken15
Average score60.0%
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If 6 people can sit at a rectangular table and 10 people can sit at 2 tables placed end-to-end, how many people can sit at 19 tables placed end-to-end?
The number that comes next in the sequence: 0, 1, 3, 6, 10, ?
A number whose value is the same in binary notation.
The least common multiple of the numbers 1 through 10.
A number that is the product of three consecutive single-digit numbers.
A palindromic number divisible by 4.
A number where sin(x)=0, where x is the number's value in degrees
A multi-digit number where the product of the digits equals the sum of the digits.
A palindromic number divisible by 9.
A prime number that is 10 away from the next nearest prime on the number line.
A "perfect number"; i.e., the sum of its proper divisors (its factors excluding itself) equal the number itself (e.g., 6's factors are 1, 2, & 3 and 1+2+3 = 6)
The smallest number that has 6 unique factors (including itself).
The largest three-digit perfect square.
The largest prime that is 1 less than a perfect square.
A number who has a factor of 61.
A number y such that y>1 and y = ((a^3)^2)^2, where a is an integer.
A palindromic number that is divisible by 6.
A permutable prime number, i.e., it is prime and its digits can be rearranged to form another prime number
The number that fills in the blank: 99.7, 95, ___, 50
A safe prime, i.e., a prime that is equal to 2p + 1, where p is a smaller prime number.
1
3
12
15
28
68
71
78
83
120
171
211
244
282
616
720
961
2114
2520
4096
+2
Level 85
Apr 20, 2023
99.7% within 3 standard deviations

95% within 2 standard deviations

68% within 1 standard deviation

50% within 0 standard deviations?!

+1
Level 77
Apr 20, 2023
Yup. If you’re 0 standard deviations from the mean then you’re in the 50th percentile since that’s, you know, the average! :)
+1
Level 85
Apr 21, 2023
But, for example, being within 1 standard deviation of the mean doesn't mean you're at the 68th percentile. The number 68 stands for the *difference* between the percentile of the highest score (84th percentile) and the percentile of the lowest score (16th percentile) that are within 1 standard deviation of the mean.

A normal random variable is within 1 standard deviation of the mean 68% of the time. A normal random variable is *not* within 0 standard deviations of the mean 50% of the time; it's within 0 standard deviations of the mean 0% of the time.

+1
Level 77
Apr 21, 2023
I think you might be looking at it the wrong way. A z-score of 0 indicates the sample falls in the exact mean of the data. A z-score of 1 means it falls above 68% of all other data, 2 means 95%, et cetera. You can think of the values as the percentile a sample falls in a data set with descending z-scores.
+2
Level 60
Apr 20, 2023
A few issues:

A number that is a perfect square of a perfect square of a perfect cube could be 1.

Maybe use least common multiple, not denominator. As it is, this sounds like it should be 1; 1 is the smallest number dividing 1 through 10.

This was a lot of fun! Some were too tough for me, but I could guess them.

+2
Level 77
Apr 20, 2023
Thanks! I can’t imagine how many mistakes would go unnoticed without your keen eye. :)