1. The measures of the angles of a particular triangle are in the ratio of 3:4:5. How many degrees are in the measure of the largest angle? Remember to answer with just a number (no units or symbols) 75
2. How many positive integer values of w are solutions of the inequality 10 < -w +13 ? 2
3. What is the sum of all the integers between -12.5 and 15.5? 42
4. Johnny drew his favorite pythagorean triple (a 3,4,5 right triangle). He labeled the vertex of the triangle that contained the right angle as point A. What is the shortest possible distance in units from point A to any point on the hypotenuse? Express your answer as a decimal to the nearest tenth… So if you thought the answer was 2.9 units (which it isn’t) then you would type 2.9 into the answer box. (p.s. This one is really hard but there’s a trick) 2.4
5. If a + b = 10 and a2-b2=40, what is the value of 2a+3b? 23
6. The median of the set of numbers {12,38,45,a,14} is 5 less than the mean. If “a” is a negative integer, what is the value of a? -14
7. Poonam went to Old Navy and saw a sweatshirt where the price said 40% off and then another 30% off of the reduced price. Jayne saw the same sweatshirt at Walmart that was marked as 70% off. They both bought the sweatshirts. If the original prices at Walmart and Old Navy were the same, then Jayne paid what percent of the price that Poonam paid. Express your answer as a percent, to the nearest whole percent. So for example if you think Jayne paid 84.7% of what Poonam did, you would simply put 85 into the answer box. 71
8. The product of the positive integers A,B, and C is 2004. What is the minimum possible value of the sum of A + B + C? 174
9. Shari had 7 extra tickets to the Taylor Swift concert. She has 10 friends that she would consider bringing to the concert. How many different combinations of friends could she bring? 120
10. A64 + 2A + A7 = 202 What is the value of A? In this problem the A represents the number in the place value, so for example if “A” were 9 then 2A does not mean 2 times A as it normally would. In this type of example 5A would represent 59. 1
11. Roberto traveled 150 miles to his grandmother’s house at 50 miles per hour. On his return trip home he went 75 miles per hour. What was his average speed for the entire trip (to and from) in miles per hour? Remember to answer with just a number. 60
12. Point A is (0,0) Point B is (2,2) Point C is (7,2) Point D is (9,0). Roland took his pencil and drew direct lines from A to B to C to D and back to A, creating a trapezoid. What is the area of the trapezoid in square units. Remember to just answer with a number. So for example if you thought the answer was 88 square units, you would just put 88 in the answer box. 14
13. Much tougher question, what is the perimeter of the trapezoid that Roland created in problem # 12. ? Express your answer to the nearest whole number ( and remember no units, just a number. ) 20
14. How many diagonals does an “undecagon” have? (that’s an 11 sided polygon) 44
15. What is the sum of the first 55 numbers of the arithmetic series whose first 6 members are {4,9,14,19,24,29}? If the answer is greater than 1000 please DO NOT use a comma. 7645
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