Instructions
- Solve the problems in order. The questions begin with basic skills and become more challenging.
- Show your work for questions that require calculations.
- For multiple-choice questions, circle the best answer.
- Use this helpful reminder: estimate first, calculate carefully, and check whether your answer makes sense.
- Complete the optional challenge questions if you finish early.
Math Mission: Plan a Community Picnic
You are helping plan a community picnic. Use math to make decisions about food, supplies, costs, distance, and time.
Part 1: Quick Calculations
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The picnic begins at 11:30 a.m. and ends at 2:00 p.m. How long does the picnic last?
Answer: __
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There are 8 tables with 6 seats at each table. How many seats are there altogether?
Answer: __
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The organizers have 96 bottles of water and place them equally into 12 coolers. How many bottles go in each cooler?
Answer: __
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A package contains 24 napkins. The organizers buy 7 packages. How many napkins do they have?
Answer: __
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Which is the best estimate for 398 + 204?
- A. 500
- B. 600
- C. 700
- D. 800
Answer: __
Part 2: Fractions, Decimals, and Percentages
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One-fourth of the picnic guests choose vegetarian sandwiches. If 40 guests attend, how many choose vegetarian sandwiches?
Answer: __
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A jug holds 2 liters of lemonade. The organizers pour out 0.75 liter. How much lemonade remains?
Answer: __
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The picnic budget is $200. The organizers spend 35% of the budget on food. How much money do they spend on food?
Answer: __
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Put these numbers in order from least to greatest:
0.6, 3/4, 0.25, 1/2
Answer: ____
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Match each fraction to its equivalent decimal. Write the correct letter beside each number.
Fractions:
- 1/2 _____
- 1/4 _____
- 3/4 _____
- 1/5 _____
Decimals:
- A. 0.75
- B. 0.20
- C. 0.50
- D. 0.25
Part 3: Shopping and Budgeting
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The organizers buy 5 boxes of fruit at $4.80 per box. What is the total cost?
Answer: __
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A store offers a $6 discount on a $42 cooler. What is the sale price?
Answer: __
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The organizers have $150. They spend $48.75 on food and $32.40 on drinks. How much money remains?
Answer: __
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Plates come in packages of 25. The organizers need 118 plates. What is the fewest number of packages they must buy? Explain your thinking.
Answer: ____
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Three volunteers each contribute the same amount toward a $27.60 purchase. How much does each volunteer pay?
Answer: __
Part 4: Measurement, Geometry, and Data
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A rectangular picnic area is 18 meters long and 10 meters wide. What is its area?
Formula: Area = length × width
Answer: __
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Using the same picnic area, what is its perimeter?
Formula: Perimeter = length + width + length + width
Answer: __
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The table below shows the number of sandwiches prepared and eaten. Complete the final column.
| Sandwich type | Prepared | Eaten | Left over |
|---|---|---|---|
| Cheese | 20 | 15 | 5 |
| Turkey | 24 | 18 | __ |
| Vegetable | 16 | 11 | __ |
| Chicken | 22 | 17 | __ |
| Tuna | 18 | 12 | __ |
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A volunteer walks 1.5 kilometers to the picnic, 0.8 kilometer to the recycling station, and 1.2 kilometers back to the picnic. How far does the volunteer walk in all?
Answer: __
Part 5: Multi-Step Problem Solving
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The picnic has 56 guests. Each guest receives 2 slices of pizza. Each pizza has 8 slices.
a. How many slices of pizza are needed?
Answer: __
b. What is the fewest number of whole pizzas the organizers should order?
Answer: __
c. How many slices will be left over?
Answer: __
Optional Challenge
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The organizers want to provide 3 cookies for each of 56 guests. Cookies are sold in boxes of 20. How many boxes should they buy, and how many cookies will be left over?
Answer: ____
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The picnic budget is $200. Food costs $84.50, drinks cost $36.75, and supplies cost $42.80. What percentage of the budget remains? Round to the nearest whole percent.
Answer: ____
Answer Key
- 2 hours 30 minutes
- 48 seats
- 8 bottles per cooler
- 168 napkins
- B. 600
- 10 guests
- 1.25 liters
- $70
- 0.25, 1/2, 0.6, 3/4
-
- C, 2. D, 3. A, 4. B
- $24.00
- $36
- $68.85
- 5 packages. Four packages provide 100 plates, which is not enough; five packages provide 125 plates.
- $9.20
- 180 square meters
- 56 meters
- Turkey: 6; Vegetable: 5; Chicken: 5; Tuna: 6
- 3.5 kilometers
- a. 112 slices; b. 14 pizzas; c. 0 slices left over
Optional Challenge:
- 9 boxes; 12 cookies left over. The organizers need 168 cookies, and 9 boxes provide 180 cookies.
- $35.95 remains. This is 17.975% of the budget, which rounds to 18%.