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LYCEE MATH SAT PREPARATION Problem Set Week One Arithmetic (1) 1. What is the result when 376,923 is rounded to the nearest thousand and then expressed in scientific notation? Answer: 3.77 10 5 2. By how much does the product of 8 and 25 exceed the product of 15 and 10? Answer: 50 3. How many containers, each holding 16 fluid ounces of milk, are needed to hold 5 quarts of milk? (1 quart = 32 fluid ounces) Answer: 10 containers 4. In store A a shirt costs $12, and in store B the same shirt is on sale for $8. How many shirts can be bought in store B with the amount of money, excluding sales tax, needed to buy 10 shirts in store A? Answer: 15 shirts 5. The houses in a certain community are numbered consecutively from 2017 to 2174. How many houses are in the community? Answer: 158 6. Kate has saved $160 to buy a stereo system that costs $400 including taxes. If she earns $8 an hour after all payroll deductions have been made, how many hours will she have to work in order to have exactly enough money to buy the stereo system? Answer: 30 hours 7. If y = 2 and x = (3 5y 4y 2 ) , then what is the value of x ? Answer: 3 3 8. (-3)2 +(-2) Answer: 1 9. If (x + 3)3 = 8, what is the value of (x – 2)2 ? Answer: 9 10. If 8x+1 = 64, what is the value of 42x+1 ? Answer: 64 11. If b3 = 5, what is the value of b6 ? Answer:25 12. If x and y are positive integers, and 3x+2y = 21, what is the sum of all possible values of x ? Answer: 9 (all possible values of x are: 1,3,5, can’t be 7 , when x=7, y=0 which is not allowed) 13. p2 = 16 and q2 = 25, what is the largest possible value of q-p? Answer: 9 14. (y – 3)2 = 16, what is the smallest possible value of y2? Answer: 1