Preparation of ASAJ 2024

1. Imagine you're in serious marathon training mode! 

You've designed a challenging plan with six runs every week for a whole month. To build mileage and endurance, you've incorporated runs of varying distances throughout the week. Let's focus on a specific week.  You are planning your schedule 5 miles on Monday, 4 miles on Tuesday, 6 miles on Wednesday, 6 miles on Thursday, 4 miles On Friday and 8 miles on Saturday

Would the total distance you run change depending on the order you complete these six runs?

• Yes

• No

Compute (3 + 13 + 23 + 33 + 43) + (7 + 17 + 27 + 37 + 47)

Compute 4(299) + 3(299) + 2(299) + 298

1. Grace bought 11 tickets to a baseball game at 12 dollars per ticket. Parker bought 3 tickets to the same game and paid the same amount per ticket as Grace. How much did the two of them spend together?

1. Steven owns a very orderly apple tree. The tree has 12 main branches, and each main branch has exactly 3 smaller branches. Each smaller branch has 3 apples, and there are 5 leaves surrounding each apple. How many leaves are on this apple tree?

What is the largest value you can get by subtracting one of the integers -9, -8, -7, …, 7, 8, 9  from another? (The dots mean we're including all the integers between -7 and 7 as well)

1. Sean adds up all the even integers from 2 to 500, inclusive. Julie adds up all the integers from 1 to 250, inclusive. What is Sean’s sum divided by Julie’s sum?

1. Mary bought 5 pizzas for her math class and her friends. There are 13 students in Mary's math class, not including Mary. Mary also has 10 friends that are not in her math class. There are 10 slices in each pizza. If Mary wants to give an equal amount of pizza to each student in her math class, the teacher, each of her friends, and herself, how many slices should she give to each person?

What is the sum of all of the perfect squares between 15 and 25, inclusive, minus the sum of all of the other integers between 15 and 25 inclusive?