there is a video coming, with some of the solutions.
1. Mark stood in a field and then walked 7 meters due north. He took a 90 degree turn and walked 7 meters due east, took another 90 degree turn and walked 15 meters due south, took another 90 degree turn and walked 22 meters due west. Then Mark stopped and tied his shoes. Then he walked directly back to the place where he started and was finished. How many meters did Mark walk after he tied his shoes? Please answer with just a number (no units please) 17
2. From question #1. If Mark was tracing his path with paint on the ground, he would have created a closed geometric figure. What would be the area in square meters of the figure created by Mark’s journey? Please answer with just a number (no units please) 165
3. A cube has a volume of 216 cubic centimeters. What is the surface area in square centimeters of the cube? Please answer with just a number (no units please) 216
4. Ralphie has 6 gummy bears, 8 sour worms, 4 jolly ranchers and 2 sticks of gum in his bag of candy. Fong reaches Ralphie’s bag and grabs 2 things randomly. What is the probability that they were both sticks of gum? Express your answer as a lowest terms fraction. Please use the / when typing in your answer. So if you thought the answer was three sevenths (which it isn’t) , you would simply type 3/7 1/190
5. The sum of the squares of two positive integers is 193. The product of the two integers is 84. What is the sum of the two integers? 19
6. A number ‘n’ is twice its reciprocal. What is n6 ? 8
7. Allie earned 72% of the first 800 possible points in science class. In order to have an overall average of 80%, what percent of the remaining 400 points must she earn? Answer with just a number (don’t put a percent sign on it) 96
8. The sum of 4 consecutive multiples of 7 is 126. What is the positive difference between the largest and smallest of the 4 numbers. 21
9. Two right circular cylinders have equal volume. The first cylinder has a radius of 6 cm and a height of 12 cm. The second cylinder has a radius of 8 cm. What is the number of centimeters in the height of the second cylinder? Express as an improper fraction in lowest terms… remember to use the / example 7/3 (as always, answer with a number only…. No units) 27/4
10. Jamal has $20. Every week he doubles his money. So in week one he goes from 20 to 40 in week 2 he goes from 40 to 80 in week 3 he goes from 80 to 160 etc. In which week will he hit 1 million dollars (note he won’t hit it exactly at the end of a certain week. But if I had asked you in which week would he hit $100, you would have answered week 3 (by just putting a 3 in the answer box) , because he was less than $100 at the end of week 2, but more than $100 at the end of week 3, so we’d say it happened sometime in week 3. 16
11. If the length of 1 side of this regular octagon is 8radical2 cm What would be the length of line segment EB in cm…. Answer to the nearest whole # and do not include units. Just a number please! 27
12. Sarah had some money. Bob had an amount of money that was exactly 70% of what Sarah had. Ravi had an amount that was equal to 50% of what Bob had. Joey had an amount that was equal to 20% of what Ravi had. Joey’s amount of money was equal to what percent of the amount that Sarah had? Answer with just a number please. (do not include units or a percent sign) 7
13. Mika wants to order a pizza with two toppings. There are 8 different toppings to choose from. How many different two topping pizzas could she order? Remember that “sausage and pepperoni” is NOT different from “pepperoni and sausage.” Also, she cannot double up on a topping and call it “pepperoni and pepperoni” that would just be considered 1 topping. 28
14. Now consider question 13. Imagine that double pepperoni (or double whatever ) IS considered a two topping pizza. How many different pizzas could Mika order? It’s kinda easy if you get #13 …. But be very careful. 36
15. What is the sum of the numbers of diagonals for polygons ranging from triangle all the way up to a pentadecagon (15 sided polygon). So in other words, # of diagonals of a triangle + # of diagonals of a quadrilateral + # of diagonals of a pentagon…..etc. + # of diagonals of a pentadecagon. 442
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