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