A positive integer, x, is divisible by 15, 25, and 30. Which of the following is the smallest possible value of x?
a) 75 b) 90 c) 120 d) 150 e) 450 From an Old ACT exam. Click here for the answer.
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There are 25 buildings on Maple Street. Of these 25 buildings, 10 have fewer than 6 rooms, 10 have more than 7 rooms, and 4 have more than 8 rooms. What is the total number of buildings on Maple street that have 6,7, or 8 rooms?
a) 5 b) 9 c) 11 d) 14 e) 15 From an old ACT EXAM. Click here for the answer. A blind man is handed a deck of 52 Cards and told that exactly 10 of these cards are facing up.
How can he divide the cards in two piles (possibly of different sizes) having the same number of cards facing up? ANSWER If you roll three fair six-sided dice, what is the probability that the product of the three numbers rolled is even? A) 1/8 B) 1/6 C) 1/2 D) 5/6 E) 7/8 ANSWER From 2010 Oct/Nov AMATYC Math Competition
A square is cut into two equal rectangles, each with perimeter 36. Find the area of the square. A) 36 B) 64 C) 100 D) 144 E) 196 ANSWER From 2010 oct/nov AMATYC Student Mathematics League Exam
Angles are complements if they add to 90 degrees. Let Angle A be nine times Angle B and the complement of Angle B be nine times the complement of angle A. Find Angle B. A) 6 degrees B) 8 degrees C) 9 degrees D) 10 degrees E) 12 degrees ANSWER From 2010 Oct/Nov AMATYC Student Mathematics League Test
If A is the set of prime numbers and B is the set of 2 digit positive integers whose unit digit is 5, how many numbers are in common for both sets?
A) NONE B) ONE C) TWO D) SEVEN E) NINE ANSWER If 75% of m is equal to k percent of 25, where k > 0, what is the value of m / k? (side note: " m / k " means "m divided by k") ANSWER From 2007-2008 SAT practice test
Here is an interesting problem I ran across on the internet. Check if the following two triangles are in fact possible.
What is the integer that satisfies the following three conditions:
From an old SAT Exam
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