7th-8th Grade Math Champ!

Factors & Multiples

10

Express 340 as a product of its prime factors.

340 = 2 * 2 * 5 * 17

20

What is the greatest common factor of 84, 126, and 245 ? 

GCF = 7

30

What is the least common multiple of 24 and 90 ?

LCM = 360

40

Calculate (without using a calculator) the positive square root of 256 (Hint: Use prime factorization)

16

Misc. 1

10

Use the calculator and find the square root of 11  and round to 3 significant digits

3.32

20

Evaluate the following using a calculator:
square root of (37² - 35²)

12, -12

30

round 3,498,275 to the nearest 100

 3,498,300

40

Times taken by Jim and Tom to answer a Math quiz are 54 seconds and 2 minutes ,respectively. Find the ratio of Tom's time to Jim's .

20:9

Number Sets and Operations

10

-2 + 5 +(-3) = ?

0

20

-1/3 + 2/5 = ?

1/15

30

What is the multiplicative inverse of 2.1 ?

10/21

40

3-|-(-9)| = ?

-6

Misc. 2

10

What is the cubic root of 27 ?

3

20

True or False:
square root of 2, pi are irrational numbers but are real numbers non the less.

True

30

What is |-61.5|

61.5

40

Time needed to assemble a car is inversely proportional to the number of workers at the assembly line.  If it takes 20 hours from 4 workers to assemble a single car, how many hours does it take from 2 workers to assemble a similar car?

40 hours