SAT Math
What percentage of 300 is 75?
25%
Mike cycled 15 laps in 57 minutes. Assume he cycled at a constant speed throughout. Approximately how many laps did he complete in the first 27 minutes?
7
The product of four different natural numbers is 100. What is the sum of four numbers?
18
How many three-digit positive integers have an odd number of even digits?
450
The lines with equations ax-2y=c and 2x=by= -c are perpendicular and intersect at (1, -5). What is c?
13
3 more than 8 times a number x is equal to 83. Which equation represents this situation?
8 x + 3 = 83
The sum of three numbers is 96. The first number is 6 times the third number, and the third number is 40 less than the second number. What is the absolute value of the difference between the first and second numbers?
5
For how many positive whole numbers do a^2 and a^3 have the same amount of digits?
3
How many of the first ten numbers of the sequence 121,11211,1112111,... are prime numbers?
0
If you flip a fair coin three times, what is the probability of getting exactly two heads?
3/8
Nasir bought 9 storage bins that were each the same price. He used a coupon for $63 off the entire purchase. The cost for the entire purchase after using the coupon was $27. What was the original price, in dollars, for 1 storage bin?
10
Square ABCD has side length 1. Points P, Q, R, and S each lie on a side of ABCD such that APQCRS is an equilateral convex hexagon with side length s.s. What is s?
2 - root 2
Leonhard made up a sequence where, starting with the third term, each term is the sum of the previous two numbers. The fourth number is 6 and the sixth number is 15. What is the seventh number in the sequence?
24
Camila writes down five positive integers. The unique mode of these integers is 2 greater than their median, and the median is 2 greater than their arithmetic mean. What is the least possible value for the mode?
11
What is the sine of a 30 degree angle?
1/2
2.5b + 5r = 80
The given equation describes the relationship between the number of birds, b, and the number of reptiles, r, that can be cared for at a pet care business on a given day. If the business cares for 16 reptiles on a given day, how many birds can it care for on this day?
0
The least common multiple of a positive integer nn and 18 is 180,and the greatest common divisor of nn and 45 is 15. What is the sum of the digits of n?
6
All factors of a number N (with the exception of 1 and N itself) are written down one after the other. It turns out that the biggest factor is 45 times as big as the smallest number. For how many numbers N is that true.
2
The positive difference between a pair of primes is equal to 2, and the positive difference between the cubes of the two primes is 31106. What is the sum of the digits of the least prime that is greater than those two primes?
16
In a right-angled triangle, if one acute angle is 45 degree, what is the value of the cosine of the other acute angle?
1/ root 2
Point O is the center of a circle. The measure of arc RS on this circle is 100°. What is the measure, in degrees, of its associated angle ?
100°
How many ways are there to split the integers 1 through 14 into 7 pairs such that in each pair, the greater number is at least 2 times the lesser number?
144
A number of peaches, oranges, apples and bananas are put down in a row. What is the minimum number of fruits needed to lay them down so that each fruit lies next to each other fruit at least once in that row?
8
A pair of fair 6-sided dice is rolled n times. What is the least value of n such that the probability that the sum of the numbers face up on a roll equals 7 at least once is greater than 1/2?
4
If tan(a) = 2/3, and sin(b) = 4/5, find the exact value of sin(a + b)
23/25