Grade 6 Math topic review

Ratios and Rates

100

I go 36 miles in 24 hours. What is my mph?

What is 1.5 miles per hour.

200

In my class there are 6 girls for every 2 boys. How many boys are there if the class has 24 people?

What is 6 boys

300

There are 25 people in a park. 20 of them are wearing masks. What is the rate of people wearing masks to people unnecessarily exposing themselves to COVID-19.

What is 4:1

400

I earn 10 dollars for 30 hours of work. How much do I make if I were to work 150 hours? Also, should I file for more money, I think this might violate minimum wage.

Um, What is 50 dollars, plus, contact and attorney general about that whole getting paid a 1/3 of minimum wage thing.

500

A train leaves from a station going 60 mph. It needs to go 225 miles. How long will it take to get there?

What is 3 hours 45 minutes

Percentages

100

What is 30% of 300?

What is 90

200

If I have 20 equal pieces of a pie. What percent of the whole pie is each piece?

What is 5 percent

300

All of my brothers are annoying. My sister is fine. I have 8 brothers and 1 sister. Including my perfect self, what percent of my parents kids are annoying.

What is 80%

400

Last quarter our company produced 100 rubber duckies. This quarter we got more staff and our rubber ducky production was up 20%. How many rubber duckies did we make?

What is 120 rubber duckies.

500

A totally hypothetical person was making a jeopardy board and had 9 questions left to make. The board had 25 questions in total. What percentage of questions does he still need to make?

What is 36%.

Distributive Property

100

Distribute this expression so you don't need parentheses.

3x (3 + 7)

What is 9x + 21x or 30x

200

Distribute this expression 

3  (3x｛ 2 + 3 ｝)

What is 18x + 27x or 45x

300

I had 21 mystery goody bags to give out at my party. They weren't very mysterious though because each had an equal amount of stuff. Each goody bag had 3 stickers, 1 bouncy ball, and 4 pieces of chocolate. How much of each item will I need to buy?

63 stickers, 21 bouncy balls, and 84 pieces of chocolate.

400

I have 3 boxes of cookies. Each box of cookies has 6 red cookies, and 4 blue cookies. How many blue and red cookies do I have? Answer in an distributed way.

What is 18 red cookies and 4 blue cookies.

500

Use the Distributive Property to solve the equation.

5 (x + 2) = 40

What is, 

This distributes to 5x +10 =40

So 5x =30

So x =6

Solving Equations

100

Solve for x

17*3=x/3

What is x = 153

200

Solve for x 

163* 92

What is 14,996

300

My grandfather is 73 years old. Since he was 20 years old he started the collection which he put 5 photos in every year. How many photos are in the collection now?

What is 265 photos.

400

x* x² * x³ * x⁷ = x^y

Solve for y

What is y = 13

500

1 + 1 = x

x = 2

Operating with Fractions

100

What is 7 divide by 2/3

What is 10 1/2

200

What is 3/7 times 6/8?

Simplify

What is 9/28

300

I want to walk 3 miles. Each day I will walk 1/3 of a mile. How many days will I have to walk to reach my goal?

What is 9 days.

400

I watch 2/3 of a 12 hour cat video. My friend does the same. How much of our lives have we just spent enriching ourselves in all?

What is 16 hours

500

At a party they had 3 cakes. Each cake was split up into 8 pieces. If I had 2 pieces from each cake. What fraction of a whole cake did I eat?

What is 6/8 of a whole cake.