RATIO AND RATES
There are 4 cats and 6 dogs in a pet shop.
What is the ratio of cats to dogs? simplified
2:3
What is the area of a rectangle with a length of 7 cm and a width of 4 cm?
28 cm²
Look at the bar graph below showing the number of pets owned by students in a class:
Number of students: Dog:6 Cat:4 Fish:3 Bird:2
How many students have dogs then birds?
3 + x > 7
x > 4
1/4 + 1/2
3/4
A turtle travels 24 meters in 6 minutes.
What is the turtle's speed in meters per minute?
4 meters per minute
Find the area of a triangle with a base of 10 m and a height of 6 m.
30 m²
The line plot below shows the number of hours 7 students spent on a project:
Hours: 2 3 4 5 6 6 6
What is the avg the students spent on the project?
4.71
2x - 5 ≤ 9
x ≤ 7
7.45−3.28
4.17
The ratio of girls to boys in a class is 3:4.
If there are 12 girls, how many boys are there?
16 boys
A rectangular garden is 12 meters long and 5 meters wide. What is its area?
60 m²
This table shows the number of books read by students in one week:
Books read by students Sam: 3 Maya: 5 Leo: 4 Zoe: 2
Which student read more books than the average?
Maya
4(x + 2) > 16
x>2
3/5 x 4/7
12/35
In a smoothie recipe, the ratio of strawberries to bananas to yogurt is 2:3:5.
If there are 20 cups of yogurt,
how many cups of strawberries and bananas are needed?
8 cups of strawberries and 12 cups of bananas
A box has a length of 8 cm, a width of 5 cm, and a height of 10 cm. What is its volume?
400 cm³
The pie chart shows favorite ice cream flavors in a class:
Chocolate: 40%
Vanilla: 25%
Strawberry: 20%
Mint: 15%
There are 40 students in the class.
How many students chose Strawberry or Mint combined?
14
5(x - 3) + 2 ≤ 3x + 4
x≤8.5
12.6÷3.4
3.71
Liam is mixing paint. The ratio of red paint to white paint is 5:2.
He wants to make 49 cups of paint.
a) How many parts are in one full batch?
b) How many batches can he make with 49 cups?
c) How many cups of red and white paint does he need?
A: 7 parts per batch
B: 7 full batches
C: 35 cups of red paint and 14 cups of white paint.
You are building a small sandbox:
Length = 1.5 m, Width = 1 m, Depth = 0.3 m
a) What is the area of the bottom of the sandbox?
b) What is the volume of the sandbox (how much sand it can hold)?
c) If each bag of sand fills 0.15 m³, how many bags will you need?
A: 1.5 m²
B: 0.45 m³
C: 3 bags
The table shows the number of glasses of water a person drank each day:
Monday: 5 Tuesday: 6 Wednesday: 4 Thursday: 7 Friday: 3
A: What is the total number of glasses of water for the week?
B: What was the average per day?
C: On which day did they drink the most water?
A: 25
B: 5 glasses
C: 7 glasses
Jason wants to buy a video game that costs $60. He already has $20 saved. Every week, he earns $7 from doing chores. How many weeks, will Jason need to work to have enough money to buy the game? Write an inequality to represent this situation and solve it.
Jason must work 6 weeks or more to buy the video game.
Lisa bought 3.5 pounds of apples. She uses 2/5 of the apples to make a pie and gives the rest equally in 3 bags.
a) Pounds used for the pie:
b) Pounds left:
c) Pounds per bag:
A: 1.4 pounds
B: 2.1 pounds
C: 0.7 pounds