Instructions
- Solve each problem carefully and show your work.
- For multiple-choice questions, circle the best answer.
- Use the hints when needed.
- Check whether your answer makes sense in the real-world situation.
- Complete the optional challenge questions if you finish early.
Helpful reminders:
- To find a fraction of a number, multiply the number by the fraction.
- To find a percent of a number, change the percent to a decimal first.
- Always include the correct unit, such as dollars, minutes, kilograms, or liters.
Part 1: Warm-Up Problems
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A bakery makes 24 muffins and packs them equally into 4 boxes. How many muffins go in each box?
Answer: __ muffins
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Maya walks 3 kilometers each day for 5 days. How many kilometers does she walk altogether?
Answer: __ kilometers
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A notebook costs $4.75, and a pen costs $1.25. What is the total cost?
Answer: $__
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Which number is greatest? Circle one.
- 0.45
- 0.54
- 0.405
- 0.5
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A water bottle holds 750 milliliters. Is this more or less than 1 liter? Explain briefly.
Part 2: Fractions, Decimals, and Percents
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Write the fraction as a decimal:
3/4 = __
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Write the decimal as a fraction in simplest form:
0.6 = __
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A class has 20 students. One-fourth of the students bring lunch from home. How many students bring lunch from home?
Answer: __ students
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A store offers 10% off a $50 backpack. How much money is the discount?
Answer: $__
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What is the sale price of the $50 backpack after the discount in Question 9?
Answer: $__
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Sort each number into the correct category: less than 1, equal to 1, or greater than 1.
Numbers: 0.8, 5/5, 1.25, 3/4, 7/4
Category Example Numbers to sort Less than 1 0.2 Equal to 1 4/4 Greater than 1 1.5
Part 3: Real-World Problem Solving
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Jordan has $20.00. Jordan buys a sandwich for $6.50 and fruit for $2.25. How much money remains?
Show your work:
Answer: $__
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A movie begins at 6:40 p.m. and lasts 1 hour and 45 minutes. What time does it end?
Answer: __
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A recipe requires 2 cups of flour. You want to make half of the recipe. How much flour do you need?
Answer: __ cup
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A cyclist travels 18 miles in 2 hours at a steady speed. What is the cyclist's speed per hour?
Answer: __ miles per hour
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A family uses 12 liters of water each day for gardening. How many liters will they use in 7 days?
Answer: __ liters
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A shirt originally costs $32. It is marked down by 25%. What is the sale price?
Hint: First find 25% of $32. Then subtract the discount from the original price.
Show your work:
Answer: $__
Part 4: Explain and Apply
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Sam says that 0.7 is less than 0.65 because 7 is less than 65. Is Sam correct? Explain your thinking.
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You have $15 to spend on snacks. Choose two or more items from the list without spending more than $15. Record your choices and total.
Snack Example price Your choice Granola bar $2.00 Apple $1.50 Yogurt $2.75 Sandwich $5.50 Juice $2.25 Crackers $3.00 Items chosen: __
Total cost: $__
Money remaining: $__
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Design a simple one-day personal budget using $40. Include at least three categories, such as food, transportation, savings, or entertainment. Your total must equal $40.
Category Example amount Your amount Savings $10 Total $40 $__ Explain one reason for your choices:
Optional Challenge
A store gives customers 20% off an item and then charges an additional $3 service fee. A bicycle helmet costs $45 before the discount. What is the final cost after the discount and service fee?
Show your work:
Answer: $__
Answer Key
- 6 muffins
- 15 kilometers
- $6.00
- 0.54
- Less than 1 liter. 750 milliliters equals 0.75 liters.
- 0.75
- 3/5
- 5 students
- $5.00
- $45.00
- Less than 1: 0.8, 3/4; equal to 1: 5/5; greater than 1: 1.25, 7/4
- $11.25
- 8:25 p.m.
- 1 cup
- 9 miles per hour
- 84 liters
- 25% of $32 is $8. The sale price is $32 - $8 = $24.
- No. 0.7 equals 0.70, and 0.70 is greater than 0.65.
- Answers will vary. The total must be $15 or less, and the money remaining must equal $15 minus the total cost.
- Answers will vary. The category amounts must add to exactly $40.
Optional Challenge: 20% of $45 is $9. The discounted price is $45 - $9 = $36. Adding the $3 service fee gives a final cost of $39.