1. Set I contains six consecutive integers. Set J contains all integers that result from adding 3 to each of the integers in set I and also contains all integers that result from subtracting 3 from each of the integers in set I. How man more integers are there in set J than in set I?

Question

A. 0
B. 2
C. 3
D. 6
E. 9

2. What is the greatest of 5 consecutive intergers if the sum of these integers equals 185?

3. If S is the set of positive integers from 1-100 inclusive, which of the following is true?
A. S contains more 1-digit numbers than 2-digit numbers
B. S contains more numbers with units digit 0 than with units digit 9
C. S contains more multiples of 5 than multiples of 10
D. S contains more multiples of 8 than multiples of 2
E. S contains more even numbers than odd numbers

4. Which of the following number is divisible by 3 and 5, but not by 2?
A. 955
B. 975
C. 990
D. 995
E. 999

5. If m is an integer, which of the following could be true?
I. 17/m is an even integer
II. m/17 is an even integer
III. 17m is a prime number
A. I only
B. II only
C. III only
D. I and II only
E. II and III only

6. How many primes less than 1000 are divisible by 7?
A. none
B. 1
C. more than 1 but less than 142
D. 142
E. more than 142

7. For the final step in a calculation, Paul accidentally divided by 1000 instead of multiplying by 1000. what should he do to his answer to correct it?
A. Multiply it by 1000
B. Multiply it by 100,000
C. Multiply it by 1,000,000
D. square it.
E. Double it.

simplify
8. |2(5)-8|=?
A. 2
B. -2
C. 18
D. -18

9. 3-|-8+4|
A.7
B.4
C.-7
D.-1

10. If A= {1,3,5,7,9,11} and B= {2,4,6,8,10,12} What is the intersection of A and B?
A. {}
B. {4,5,6}
C. {1,3,5,7,9,11}
D. {1,2,3,4,5,6,7,8,9,10,11,12}

11. P={0,1,2,3,4,5,6} and Q={2,4,6,8,10} What is the Union of P and Q?

Answer 1

#1. Just pick any 6 consecutive integers and try it out

#2. Consider the numbers
x-2, x-1, x, x+1, x+2

#3. Should be clear. Even if you're not sure about some of them, the right one jumps out.

#4. any multiple of 2 is even

#5. start by noting that 17 is prime

#6. trick question. what is a prime?

#7. hint: what is (nx)/(x/n) ?

#8. |10-8| ?

#9. what is |-8+4| ?

#10. all the numbers in either set