MSP Math Circle Summer Camp Problem Solving with the Stars
June 24, 2016
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 1 Team 1
Round 1 Question by Team 1
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 1 Team 1
If the instructions for cooking a turkey state “Roast turkey at 325 degrees for 20 minutes per pound,” how many hours will it take to roast a 20-pound turkey at 325 degrees?
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
6 23
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 1 Team 2
Round 1 Question by Team 2
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 1 Team 2
Cassandra has three pictures on her desk. The pictures measure 4 inches by 6 inches, 24 mm by 36 mm, and 6 cm by 8 cm, respectively. How many of her pictures have a length-to-width ratio of 2 : 3?
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
2
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 1 Team 3
Round 1 Question by Team 3
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 1 Team 3
Two numbers are in the ratio 3 : 4. If the sum of the numbers is 63, find the larger number.
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
36
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 1 Team 4
Round 1 Question by Team 4
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 1 Team 4
The church is going on a trip to Niagara Falls via several buses. The ratio of men to women to children is 1 : 2 : 3. If there are 120 people going on the trip, how many women are going?
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
40
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 1 Team 5
Round 1 Question by Team 5
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 1 Team 5
Ray and Crystal buy and sell bicycle parts in their neighborhood. Because they invested money in this small business in the ratio 2 : 3, they will split the profit in the ratio 2 : 3. If the profit from the business is $1, 000, how much money will Crystal receive?
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
600
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 2 Team 1
Round 2 Question by Team 1
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 2 Team 1
The ratio of Tariq’s telephone bill to Pria’s telephone bill was 7 : 5. Tariq’s bill was $14 more than Pria’s bill. What was Tariq’s bill?
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
49
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 2 Team 2
Round 2 Question by Team 2
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 2 Team 2
Suppose 25 out of 175 people said they like to play disc golf and 5 out of every 12 disc golf players have a personalized flying disc. At the same rates, in a group of 252 people, predict how many you would expect to have a personalized flying disc.
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
15
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 2 Team 3
Round 2 Question by Team 3
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 2 Team 3
At a football game the ratio of the number of freshmen who attended to the number of juniors is 3 : 4. The ratio of the number of juniors to the number of seniors is 7 : 6. What is the ratio of freshmen to seniors?
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
7:8
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 2 Team 4
Round 2 Question by Team 4
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 2 Team 4
A and B together have a total of $1, 200. If 4/5 of A’s amount is equal to 2/5 of B’s amount, what is the amount of B?
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
Problem Solving with the Stars
MSP Math Circle Summer Camp
Answer
800
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 2 Team 5
Round 2 Question by Team 5
Problem Solving with the Stars
MSP Math Circle Summer Camp
Round 2 Team 5
In a sale, all the prices are reduced by 25%. Julie sees a jacket that costs $32 before the sale. In the second week of the sale, the prices are reduced by 25% of the previous week’s sale price. How much does the jacket cost during the second week of the sale?
