Number Properties

Division

100

Divide.

18,198/27

674

200

Divide.

13,140/15

 

876

300

What is the quotient?

1462 ÷ 58

Enter your answer as a mixed number in the simplest form

25 6/29

400

An Internet service company earned $770 in setup fees for new homes in a neighborhood. They charged $35 for each new setup.

How many new setups did they perform?

22 setups

500

A landscaper uses 1225 kilos of soil to complete a project. The soil comes in bags that weigh 40 kilos each.

How many bags of soil does the landscaper use to complete the project?

30 5/8

Prime Factorization

100

Choose all the correct numbers that are prime?

2,3,4,5,6,7

2,3,5,7

200

Which of these numbers is prime?

29,33,51,65,70

29

300

What is the prime factor form of 56?

2³ x 7

400

What is the prime factor form of 144?

2⁴ x 3²

500

What is the prime factor form of 625?

5⁴

HCF

100

What does HCF stand for?

Highest Common Factor

200

What is the highest common factor of 36 and 63?

9

300

What is the highest common factor of 49 and 84?

7

400

What is the highest common factor of 48 and 84?

12

500

I am planting 50 apple trees and 30 peach trees in rows. I want to mix the apple and peach trees in my rows, and I want each row to be the same. What is the maximum number of trees I can plant per row?

HCF = 10

I will have 10 rows and each row will have 5 apple trees and 3 peach trees.

LCM

100

What does LCM stand for?

Lowest Common Multiple

200

What is the lowest common multiple of 4 and 8?

8

300

What is the lowest common multiple of 4 and 6?

12

400

What is the lowest common multiple of 6 and 8?

24

500

Hot dogs come in packages of 10. Rolls come in packages of 8.

What is the least number of packages of each a person has to buy to have the same number of hot dogs and rolls?

4 packages of hot dogs

5 packages of rolls

Distributive Property

100

What is an expression equivalent to 5(32) using the distributive property?

(Using brackets)

5(30+2)

200

What is an expression equivalent to 6(24) using the distributive property?

(Using brackets)

6(20+4)

300

What is an expression equivalent to 9(47) using the distributive property?

(Using brackets)

9(40+7)

400

What expression uses the highest common factor and the distributive property(brackets) to rewrite the sum 42 + 72?

(hint: Find the HCF of 42 and 72)

6(7+12)

500

What expression uses the highest common factor and the distributive property (brackets) to rewrite the sum 75 + 45?

(hint: find the HCF of 75 and 45)

15(5+3)