Pizza Shop Math Challenges

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What this quiz asks

1. A small pizza has a radius of 6 inches. Using π ≈ 3.14, what is the area of the pizza in square inches?
2. A large pizza has a circumference of 43.96 inches. Using π ≈ 3.14, what is the diameter of the pizza?
3. A pizza shop wants to increase the area of their 10-inch diameter pizza to a 20-inch diameter pizza. By what factor does the area increase?
4. If a pizza slice is a sector of a 12-inch diameter pizza with a 60-degree central angle, what is the area of that slice? (Use π ≈ 3.14)
5. A pizza shop needs to scale their dough recipe. If one batch uses 500 grams of flour to make 4 pizzas, how many grams of flour are needed for 24 pizzas?
6. A sauce recipe requires 2 cups of crushed tomatoes for every 1 pizza. How many cups of tomatoes are required for a large catering order of 15 pizzas, considering a 10% spill waste factor?
7. A shop makes 12 pizzas per hour using 3 kilograms of cheese. If the shop increases production to 48 pizzas per hour, how many kilograms of cheese are required per hour?
8. To make 5 large pizzas, you need 250 grams of pepperoni. If you need to make 20 large pizzas, and each pizza requires 10% extra toppings due to a special promotion, how much pepperoni is required?
9. A pizza shop uses a sauce recipe with a ratio of 3 parts tomato paste to 1 part water. If the chef uses 12 cups of tomato paste, how many cups of water are needed to maintain the ratio?
10. A special dough recipe requires a ratio of 5 grams of yeast for every 500 grams of flour. How many grams of yeast are needed for 2000 grams of flour?
11. To make a signature pizza sauce, the shop mixes 2 liters of crushed tomatoes with 0.5 liters of olive oil. If they want to make 10 liters of sauce total, how much olive oil is needed?
12. A herb blend uses oregano and basil in a 2:3 ratio. If the chef has 150 grams of oregano, how much basil is needed, and what is the total weight of the blend?
13. A large pizza is cut into 8 equal slices. If a customer eats 3/8 of the pizza, what fraction of the pizza remains?
14. A pizza shop has 24 slices total. If 1/4 of the slices are pepperoni and 1/3 are cheese, how many slices are neither?
15. You have two pizzas of equal size. One is cut into 6 slices, the other into 12. If you eat 2 slices from the first and 4 from the second, what fraction of the total pizza did you eat?
16. A party order requires 45 total slices. If 2/5 of the slices are veggie and 1/3 of the remaining are meat, how many slices are plain?
17. A cardboard pizza box has a base area of 1200 cm² and a height of 5 cm. What is the total surface area of the rectangular box, assuming it is a closed rectangular prism?
18. A pizza shop owner wants to minimize the cardboard used for a box with a volume of 4000 cm³. If the height is fixed at 10 cm, what is the surface area if the base is a square?
19. If a pizza box has surface area 3000 cm² and dimensions 40 cm by 30 cm, what is the height of the box?
20. A pizza shop decides to double the dimensions of their pizza box. By what factor does the surface area increase?
21. A pizza shop sells a large pepperoni pizza for $18.00. The cost of ingredients is $6.00 per pizza. What is the profit margin percentage for one pizza?
22. A pizza shop has fixed monthly costs of $2,000. Each pizza sold earns $5.00 in profit. How many pizzas must be sold to break even?
23. If a shop increases the price of a $10 pizza by 20%, but ingredient costs rise from $4 to $5, what is the new profit per pizza?
24. A shop sells 100 pizzas at $15 each. Total costs are $800. If they want a $1,000 profit, by how much must they increase the total revenue?

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