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Instructions

  1. Solve the problems in order. The questions begin with basic skills and become more challenging.
  2. Show your work for questions that require calculations.
  3. For multiple-choice questions, circle the best answer.
  4. Use this helpful reminder: estimate first, calculate carefully, and check whether your answer makes sense.
  5. 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

  1. The picnic begins at 11:30 a.m. and ends at 2:00 p.m. How long does the picnic last?

    Answer: __

  2. There are 8 tables with 6 seats at each table. How many seats are there altogether?

    Answer: __

  3. The organizers have 96 bottles of water and place them equally into 12 coolers. How many bottles go in each cooler?

    Answer: __

  4. A package contains 24 napkins. The organizers buy 7 packages. How many napkins do they have?

    Answer: __

  5. Which is the best estimate for 398 + 204?

    • A. 500
    • B. 600
    • C. 700
    • D. 800

    Answer: __

Part 2: Fractions, Decimals, and Percentages

  1. One-fourth of the picnic guests choose vegetarian sandwiches. If 40 guests attend, how many choose vegetarian sandwiches?

    Answer: __

  2. A jug holds 2 liters of lemonade. The organizers pour out 0.75 liter. How much lemonade remains?

    Answer: __

  3. The picnic budget is $200. The organizers spend 35% of the budget on food. How much money do they spend on food?

    Answer: __

  4. Put these numbers in order from least to greatest:

    0.6, 3/4, 0.25, 1/2

    Answer: ____

  5. Match each fraction to its equivalent decimal. Write the correct letter beside each number.

    Fractions:

    1. 1/2 _____
    2. 1/4 _____
    3. 3/4 _____
    4. 1/5 _____

    Decimals:

    • A. 0.75
    • B. 0.20
    • C. 0.50
    • D. 0.25

Part 3: Shopping and Budgeting

  1. The organizers buy 5 boxes of fruit at $4.80 per box. What is the total cost?

    Answer: __

  2. A store offers a $6 discount on a $42 cooler. What is the sale price?

    Answer: __

  3. The organizers have $150. They spend $48.75 on food and $32.40 on drinks. How much money remains?

    Answer: __

  4. 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: ____

  5. 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

  1. A rectangular picnic area is 18 meters long and 10 meters wide. What is its area?

    Formula: Area = length × width

    Answer: __

  2. Using the same picnic area, what is its perimeter?

    Formula: Perimeter = length + width + length + width

    Answer: __

  3. 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 __
  1. 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

  1. 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

  • 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: ____

  • 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

  1. 2 hours 30 minutes
  2. 48 seats
  3. 8 bottles per cooler
  4. 168 napkins
  5. B. 600
  6. 10 guests
  7. 1.25 liters
  8. $70
  9. 0.25, 1/2, 0.6, 3/4
    1. C, 2. D, 3. A, 4. B
  10. $24.00
  11. $36
  12. $68.85
  13. 5 packages. Four packages provide 100 plates, which is not enough; five packages provide 125 plates.
  14. $9.20
  15. 180 square meters
  16. 56 meters
  17. Turkey: 6; Vegetable: 5; Chicken: 5; Tuna: 6
  18. 3.5 kilometers
  19. 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%.
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