Properties and Formulas

Mental Math

Quantity, Percent, and Whole

Factors

Solving and Writing Equations

100

What is the formula to find the quantity of something given the percent and the whole?

Quantity = Percent x Whole

100

What is 5 x 2?

10

100

What is the formula we use to relate quantity, percent and whole?

Quantity = Percent x Whole

100

What does GCF stand for?

Greatest common factor

100

What is 5 x 3?

15

200

Which property tells us that we can add or multiply numbers in *any grouping*?

1 + (3 + 2) = (1 + 3) + 2

Associative Property

200

What is 10% of 100?

10

200

Jack and Chris like to collect basketball cards. Chris has 40% of the cards that Jack has. Whose cards represent the whole in this problem?

Jack

200

What is the GCF of 75 and 100?

25

200

What is 12 x 4?

48

300

Which property tells us that we can add or multiply numbers in *any order*?

3 x 4 = 4 x 3

Commutative property

300

What is 25 x 3?

75

300

Denise got 100 pieces of candy on Halloween. 70% of her candies were chocolate. What represents the whole in this problem?

100 pieces of candy

300

What are the factors of 20?

1, 2, 4, 5, 10, 20

300

3a + 2 = 5. What is the value of a?

1

400

Which property tells us that a(b + c) = ab + ac?

5(2 + 1) = 5(2) + 5(1)

Distributive property

400

What is 314 x 10?

3140

400

Denise got 100 pieces of candy on Halloween. 70% of her candies were chocolate. How many pieces of chocolate candy does Denise have?

70

400

What are the factors of 100?

1, 2, 4, 5, 10, 20, 25, 50, 100

400

If you have an envelope filled with a number of triangles and quadrilaterals, what equation can you use to represent the total number of sides in the envelope?

3t + 4q

500

What is the formula to find interest?

(Hint: the variables involved are I (interest), P (principal), r (interest rate), t (time))

I = Prt

500

What is 50% of 12?

6

500

In an NBA basketball game, Giannis shot 10 free throws. If he made 70% of his shots, how many free throws did he make?

7

500

What is the GCF of 14 and 21?

7

500

4a + 2 = 14. What is the value of a?

3

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