Ms. Gordiyenko's Number Sense Review

Multiples & Factors

100

What is the LCM of 9 and 2?

18

200

What is the GCF of 24 and 6?

6

300

What is the GCF of 84 and 14?

14

400

What is the LCM of 120 and 35?

840

500

You have 36 rose plants and 24 daffodil plants. You are making rows that have an equal amount of each plant. You want to have as many rows as possible. How many rows will you have, and how many roses and daffodils will be in each row?

3 roses and 2 daffodils in 12 equal rows.

Prime Factorization

100

What is the Prime Factorization equation for 24?

2³ x 3

200

What is the Prime Factorization equation for 100?

2² x 5²

300

The following is the Prime Factorization equation for what number? 2 x 2 x 2 x2 x 3 x3 or 2⁴ x 3² 

144

400

The following is a prime factorization equation for what number? 2 x 2 x 5 x 5 x 7 x 7 or 2² x 5² x 7²

4900

500

Prime Factorization equation of 10800?

2⁴ x 3³ x 5²

Divisibility

100

Divisibility rule for numbers divisible by 2

If the last digit is even (0, 2, 4, 6, 8)

200

Divisibility rule for numbers that are divisible by 3

If the sum of the digits is divisible by 3

300

Prove that 102 is divisible by 6 without using long division. (Use divisibility rules)

-ends with 2, which is even , so divisible by 2

-1+0+2= 3 which is divisible by 3

-Since divisible by 2 and by 3, it is also divisible by 6.

400

List the numbers, 2-10, that 712 is divisible by.

2, 4, 8

500

List the numbers 2-10 that 1116 is divisible by.

2, 3, 4, 6, 9

Exponents & Square Roots

100

Write the number 8 as a power.

2³

200

What is the side length of a square backyard that is 400m²?

20m

300

Solve 4.7 x 10⁴

⁴⁷⁰⁰⁰

400

The area of a park is 10000ft². What is the perimeter?

side length = 100ft 

P = 100 x 4 = 400ft

500

A cell doubles every hour. If you start with 1 cell, at the end of one hour you would have 2 cells, at the end of two hours you would have 4 cells and so on. How many cells will you have after 8 hours? Write your answer in standard form AND as a power.

2⁸, 256 cells.

BEDMAS

100

Solve: 2 + 3 x 4 ÷ 2

8

200

Solve: 200 - (2 + 3) ÷  5

199

300

Solve: (27 - 9 x 3) + 40 - 10 x 2 

20

400

Ms. Gordiyenko has $1500 and she invested it in some stocks. In one day, her money was doubled. The following day she lost $700. On the third day, her investments tripled in value. Write the correct expression for this, then solve to figure out how much money Ms. Gordiyenko has. Show your work.

(1500 x 2 - 700) x 3

=(3000 - 700) x 3

= 2300 x 3

= 6900. 

Ms. Gordiyenko has $6900

500

Gabe has $450. He spends $210 on new clothes. At home, he searches through his belongings and finds a stack of ten 5-dollar bills. Write the correct expression to represent how much money Gabe has, and solve. Show all your work.

(450 - 210)  + 10 x 5

= 240 + 10 x 5

= 240 + 10 x 5

= 240 + 50

= 290. Gabe has $290