SAT/ACT Math Prep Day 3

Question 1

If (x + 1)2 = 4 and (x−1)2 = 16, what is the value of x?

Accepted Answer

-3

Question 2

How many positive integers less than 100 are divisible by 3, 5, and 7?

Accepted Answer

0

Question 3

4 lines lie in a plane, 2 are parallel, what are the least number of intersection points?

Accepted Answer

3

Question 4

P is a prime number, which of the following could also be a prime number?

Accepted Answer

p + 2

Question 5

Twice an integer is added to the its square. 1 is added to that. Which could be the final sum?

Accepted Answer

36

Question 6

Average of 7 numbers is 12. One is replaced by 6, the average is 15. What number was replaced?

Accepted Answer

-15

Question 7

Let m be an even integer. How many possible values of m satisfy √m + 7 ≤ 3?

Accepted Answer

Five

Question 8

Amy can walk 3600 feet in 10 mins. At the same rate how many yards can Amy walk in 10 seconds?

Accepted Answer

20

Question 9

Perimeter of a equilateral triangle is equal to the area. What is the perimeter of the triangle

Accepted Answer

12√3

Question 10

Perimeter of square ABCD=x:Perimeter of isosceles triangle EFG=y. If AB=EF =FG, which is true?

Accepted Answer

(x∕2) < y < x

Questions 10