Ratios
A recipe for fruit punch calls for 3 cups of orange juice for every 2 cups of pineapple juice.
How many cups of pineapple juice would be needed if you use 12 cups of orange juice?
✅ Answer: 8 cups of pineapple juice
Mrs. Garcia has 36 granola bars and 24 juice boxes. She wants to make identical snack packs with no items left over.
What is the greatest number of snack packs she can make?
36 granola bars and 24 juice boxes
Find GCF of 36 and 24:
Factors of 36: 1, 2, 3, 4, 6, 9, 12, 18, 36
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
✅ GCF = 12
1. Price Drop at the Store
A backpack originally cost $60, but now it's on sale for 25% off.
What is the new price of the backpack?
Original Price = $60
Discount = 25% of $60 = 0.25 × 60 = $15
New Price = 60 − 15 = $45
✅ Answer: $45
The box plot below shows the number of books read by students in a class over the summer:
Minimum: 2
Q1 (lower quartile): 5
Median: 8
Q3 (upper quartile): 12
Maximum: 15
Question:
What is the interquartile range (IQR)?
Q1: 5
Q3: 12
IQR = Q3 - Q1 = 12 - 5 = ✅ 7
Answer: IQR = 7
Maya is saving up to buy a video game that costs $60. She already has $20 and plans to save $x dollars each week. After 4 weeks, she has enough money to buy the game.
Write an equation to represent this situation.
20+4x=60
2. Speed Rate
Lena bikes at a rate of 12 miles per hour.
How far will she travel in 3.5 hours?
42 miles
Jamal runs a lap every 6 minutes, and Tyra runs a lap every 8 minutes.
If they start running at the same time, after how many minutes will they both be at the starting line together again?
Jamal: every 6 min
Tyra: every 8 min
Find LCM of 6 and 8:
Multiples of 6: 6, 12, 18, 24, 30, 36, ...
Multiples of 8: 8, 16, 24, 32, ...
✅ LCM = 24
2. Video Game Score Boost
Liam scored 800 points in a video game. The next day, he improved his score by 20%.
What is his new score?
2. Video Game Score Boost
Original Score = 800
Increase = 20% of 800 = 0.20 × 800 = 160
New Score = 800 + 160 = 960
✅ Answer: 960 points
A student recorded the number of minutes she spent reading each day for a week. Her times (in minutes) were:
25, 30, 35, 40, 30, 20, 50
What is the mean number of minutes she read per day?
Answer:
Step 1: Add all the numbers
25 + 30 + 35 + 40 + 30 + 20 + 50 = 230
Step 2: Divide by the number of days (7)
230 ÷ 7 = ✅ 32.86 (rounded to two decimal places)
Final Answer: 32.86 minutes per day
Would you like more questions like this, maybe involving word problems with missing values or comparing means?
Solve the following equation
20+4x=60
x=10
In a science class, the ratio of boys to girls is 5 to 7.
If there are 28 girls, how many boys are in the class?
✅ Answer: 20 boys
A rectangular floor is 18 feet by 30 feet. You want to tile it using the largest square tiles possible, with no cutting.
What is the side length of the largest square tile you can use?
3. GCF – Tiling a Floor
Dimensions: 18 ft by 30 ft
Find GCF of 18 and 30:
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 30: 1, 2, 3, 5, 6, 10, 15, 30
✅ GCF = 6
Answer: The largest square tile is 6 ft by 6 ft
3. Decrease in Attendance
A concert had 1,200 people attend last year. This year, attendance dropped by 15%.
How many people attended this year?
3. Decrease in Attendance
Original Attendance = 1,200
Decrease = 15% of 1,200 = 0.15 × 1,200 = 180
New Attendance = 1,200 − 180 = 1,020
✅ Answer: 1,020 people
Question:
Five students took a quiz and scored the following points:
82, 76, 91, 88, and 79
What is the mean score on the quiz?
Answer:
Step 1: Add all the scores
82 + 76 + 91 + 88 + 79 = 416
Step 2: Divide by the number of students (5)
416 ÷ 5 = ✅ 83.2
Final Answer: The mean score is 83.2
Liam is buying snacks for a party. Each snack bag costs $3, and he also buys a $5 drink. If he spends a total of $20, how many snack bags did Liam buy?
Let x represent the number of snack bags Liam bought.
Write an equation and solve it.
3x+5=20
Rate: 45 pages in 30 minutes
How many pages are read in 2 hours
Answer: 180 pages
A city bus arrives at Mia’s stop every 20 minutes, and another bus arrives every 30 minutes.
If both buses arrive at the same time at 7:00 a.m., when will they both arrive together again?
4. LCM – Bus Schedule
Bus A: every 20 minutes
Bus B: every 30 minutes
Find LCM of 20 and 30:
Multiples of 20: 20, 40, 60, 80, 100...
Multiples of 30: 30, 60, 90, 120...
✅ LCM = 60
Answer: 60 minutes → They’ll both arrive again at 8:00 a.m.
4. Smartphone Price Increase
A smartphone cost $500 last month. Due to increased demand, the price went up by 10%.
What is the new price of the smartphone?
4. Smartphone Price Increase
Original Price = $500
Increase = 10% of $500 = 0.10 × 500 = $50
New Price = 500 + 50 = $550
✅ Answer: $550
Question:
Lena is designing a triangular garden. The base of the garden is 12 feet, and the height from the base to the top is 9 feet.
What is the area of Lena’s triangular garden?
Answer:
Formula for the area of a triangle:
B x H divided by 54 square units
Sarah is organizing a fundraiser and wants to sell at least 50 tickets for the event. Each ticket costs $12. She already sold $300 worth of tickets.
Write an inequality to represent how many more tickets Sarah needs to sell, and solve it.
12x+300≥600
Where x is the number of additional tickets she needs to sell.
6. Paint Mixture Ratio
To make a certain shade of green, you need to mix 2 parts blue paint with 5 parts yellow paint.
If you want to make 35 cups of paint total, how many cups of blue and yellow paint should you use?
Answer: 10 cups blue, 25 cups yellow
There are 48 sixth graders and 60 seventh graders going on a field trip. The teacher wants to divide them into groups with the same number of students in each group and only one grade per group.
What is the greatest number of groups the teacher can make?
5. GCF – Grouping Students
48 sixth graders
60 seventh graders
Find GCF of 48 and 60:
Factors of 48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Factors of 60: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
✅ GCF = 12
Answer: 12 groups
5. Library Book Donations
Last year, the library received 240 book donations. This year, donations increased by 30%.
How many books were donated this year?
5. Library Book Donations
Last Year = 240 books
Increase = 30% of 240 = 0.30 × 240 = 72
This Year’s Donations = 240 + 72 = 312 books
✅ Answer: 312 books
Question:
Jamal is building a box to store his art supplies. The box is shaped like a rectangular prism. It is 10 inches long, 6 inches wide, and 4 inches tall.
What is the volume of the box?
Volume=10×6×4=240 cubic inches
How old is Mr. Corey
45