Factors & GCFs
Multiples & LCMs
Word Problems
Math Terms and Miscellaneous
Primes & Composites
200
What is the GCF of 9 and 21?
The greatest common factor is 3.
Factors of 9: 1, 3, 9
Factors of 21: 1, 3, 7, 21
200
What are the first 3 multiples of 9?
9, 18, 27
200
John has 5 ant farms, each with 11 ants. How many ants does he have in total?
55, because 11 * 5 = 55
200
This kind of number has exactly two factors.
Prime number
200
What is the smallest number of factors a composite number can have?
3
Because:
2 factors => it's a prime number
1 factor => it has to be 1, which is neither prime nor composite
300
What are the factors of 32? How many factor pairs are there?
There are 3 factor pairs, 6 factors in all.
1, 32
2, 16
4, 8
300
What is the LCM of 7 and 8?
56
Multiples of 8: 8, 16, 24, 32, 40, 48, 56
Multiples of 7: 7, 14, 21, 28, 35, 42, 49, 56
300
It takes Jane 9 minutes to complete a math worksheet. How many minutes does it take Jane to complete 7 math worksheets?
63, because 9 * 7 = 63
300
Which class in middle school will teach you how to solve equations like 3x + 7 = 12?
Algebra
300
What is the smallest prime number that can be made by adding together two other prime numbers?
5 because 5 = 2 + 3.
400
What is the GCF of 28 and 30?
2 is the greatest common factor.
Factors of 28: 1, 2, 4, 7, 14, 28.
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30.
400
What is the LCM of 12 and 9?
36
Multiples of 12: 12, 24, 36
Multiples of 9: 9, 18, 27, 36
400
A radio station is having a promotion in which every 7th caller receives a free concert ticket (so the 7th, 14th, 21st, etc)...
And every 5th caller receives a limo ride (5th, 10th, 15th, etc).
Which caller will be the first one to win both?
The 35th caller.
The 7th, 14th, 21st, 28th, and 35th callers will receive the concert ticket.
The 5th, 10th, 15th, 20th, 25th, 30th, and 35th callers will receive a limo ride.
35 is the first one to win both.
400
You will learn about triangles, obtuse angles, and parallel lines in this class in high school.
Geometry
400
How many prime numbers are there between 40 and 64? List them.
6 prime numbers: 41, 43, 47, 53, 59, 61
500
Find all the factors of 60. How many are there?
There are 12 factors:
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
500
List the first 4 multiples of 13.
13, 26, 39, 52
500
Evelyn and Ofelia love gardening. Evelyn waters her plants every 3 days. Her neighbor Ofelia waters her plants every 4 days. If they both water their plants on July 1, what is the next date they will water their plants together?
(Be careful with the dates!)
Evelyn waters her plants on July 1st, 4th, 7th, 10th, 13th.
Ofelia waters her plants on July 1st, 5th, 9th, 13th.
So the first day they both water their plants is the 13th.
(Partial credit for saying July 12th if they forgot to count July 1st.)
500
What is the name of this shape with 6 sides?
Hexagon
500
How many primes are there between 100 and 114? List them.
5 primes: 101, 103, 107, 109, 113