Ratios
In a class, there are 12 boys and 18 girls. Write the ratio of boys to girls in simplest form.
2:3
365 X 2 = 730 hours
A truck delivers 1.2 tons of canned goods. How many pounds is that? (1 ton = 2,000 lbs)
2400 lbs
A restaurant has a sign by the front door that says, “Maximum occupancy: 75 people.”
What percentage of its capacity is 15 people?
20%
3/6÷3/2 ;
3/4 ÷3/2 ;
2/3÷3/2;
2÷3/2
Order the quotient of the expression from the greatest to least.
2÷3/2 greatest
3/4 ÷3/2
2/3 ÷3/2
3/6 ÷3/2. least
In a forest, the ratio of trees planted to trees cut down last year was 9:4. If 180 trees were planted, how many were cut down?
80 trees
Draw a double number line to show:
it costs $3 to buy 2 bags of rice, at this rate, how many bags of rice can you buy for $12?
8 bags
A city composting program diverts 3.6 tons of food waste per day from landfills.
At this rate, how many pounds of food waste will be diverted in a non-leap year (365 days)?
(1 ton = 2,000 pounds)
2,628,000 lbs
The school set a fundraising goal of $800 for new playground equipment. Here's how much each grade level raised:
What percentage of the goal did each grade level reach? Show your work on mini board.
If a recipe needs ⅓ cup of sugar per batch, how many batches can you make with 2 cups of sugar?
6 batches
The school has 120 students. The ratio of boys to girls is 2:3. How many girls are there?
72 girls
A wind turbine generates 900 kilowatts of electricity in 6 hours. What is its average rate of electricity generation per hour?
150 kilowatts
A classroom compost bin holds 0.25 cubic meters of waste. How many liters is that? (1 m³ = 1,000 L)
250 liters
A family’s electricity bill was $160 last month. This month, they cut usage by 25%. How much is their new bill?
$ 120
Class parents have bought 5 large pizzas for a party. Each person eats 5/7 of a pizza. How many people can eat?
7
The student council wants to represent all grades equally and fairly. If there are 8 members from grade 6, 6 from grade 7, and 10 from grade 8, what is the ratio of grade 6 to total members?
8:24 = 1:3
A train powered by renewable energy travels 300 miles in 4 hours, while a diesel train travels 250 miles in the same time.
Find the total distance difference after 10 hours of travel.
500 miles
A rain barrel holds 50 gallons of water. Convert that to quarts.
200 quarts
An electric car emits 40% less CO₂ than a gas car that produces 5,000 grams per trip. How much CO₂ does the electric car emit?
3000 grams
Astronomers observe 1,260 asteroids and divide them evenly among 9 research teams.
Each team further divides their share equally among 4 scientists.
How many asteroids does each scientist study?
35 asteroids
At a Far Brook fundraiser, $73,000 was collected.
if 45% of the donations goes to tuition assistance, 35% goes to creative learning experiences, and the rest goes to learning spaces.
1️⃣ Find how much money each cause will receive.
2️⃣ If next year the fundraiser wants to raise 25% more money for education, how much money would that be?
tuition assistance:32,850
learning experiences: 25,550
learning spaces: 21,900
A fair-wage company pays workers $18 per hour and produces 72 handmade crafts in 12 hours using 6 workers. At this rate, how many crafts could 10 workers produce in 8 hours, and what would the total wages cost be?
80 crafts, $1440 for 10 workers
A mural covers 180 square feet. Convert that to square yards. (1 yd = 3 ft)
1 yd² = 9 ft²
180 ft² = 20 yd²
An environmental club reduced cafeteria waste by 30%, saving 150 pounds of waste per week. How much waste did the school produce before the reduction?
500 pounds of waste
An environmental club collects 4½ bags of trash, and each recycling bin holds ¾ of a bag.
How many bins are needed?
3 bins