Mixtures
A recipe for sweet tea calls for 4 tsp of sugar. If you want to make the tea 25% less sweet, how much less sugar should you use?
1 tsp
A number that has exactly 2 factors
prime
A class of 28 students had a mean score of 72 on a test. After the teacher realized that 1 question could have had 2 correct answers, he gave 4 points to each of the 7 students who gave the second possible right answer. What is the new mean test score?
73
Last year, Math Club had 20 members. This year, there are 28 members. By what percent did the membership increase?
40%
What is the value of 3(4x + 5y) - 2(7x - 3y) when x = -2 and y = 3?
67
You are mixing red, purple, and green M&Ms. You want 2/5 of the M&Ms to be red and 1/4 of the M&Ms to be green. What fraction will be purple? Answer as common fraction.
7/20
Standard form of a linear equation
Ax + By = C
29
If Stephanie runs 80% as far as Jenny in the race, what percent of Stephanie's race does Jenny run?
125%
If 125% of n is 30, what is 25% of n?
6
A stew recipe calls for 12 oz of beef, 4 oz of carrots, 7 oz of potatoes, 4 oz of peas, and 5 oz of stock. Given that there are 16 oz in 1 lb, how many oz of potatoes are needed to make 4 lbs of the stew?
14 oz
Finish the Pythagorean Triple: 12, 35...
37
What is the median of the first 10 prime numbers?
12
Jamie mowed 1/2 of a lawn and Gavin mowed 1/3 of the same lawn, each at a constant rate. If Jamie, continuing at the same rate, finished mowing the rest of the lawn in 12 minutes, how many minutes would it have taken him to mow the entire lawn by himself?
72 minutes
Let x and y represent the LCM and GCF, respectively, of 24 and 40. What is the value of x/y?
15
Dara is mixing paint, using 3 parts green paint to 2 parts blue to 1 part white. Given that there are 4 qts in a gallon, if she needs 3 gallons of her paint, how many quarts of white paint should she use?
2 quarts
the discriminant of the quadratic formula
b2 - 4ac
4 students took a test. The mean of the number of points scored by the students is 95 out of a possible 100. What is the minimum possible number of points scored by any 1 student?
80 points
What is the greatest possible product of 2 positive integers whose sum is 34?
289
If x equals twice its reciprocal, what is the value of x4?
4
Jin adds 1 gallon of a water and bleach mixture that is 4% bleach to 2 gallons of a water/bleach mixture that is 10% bleach. What percent of the final mixture is bleach?
8%
Sum of the interior angles of a polygon
(n - 2)180
Don has 4 short-sleeve shirts, 1 each in black, white, red, and gray. He has 2 long-sleeve shirts, one red and one gray. He has 3 pairs of pants: 1 each in gray, black and tan. If Don chooses to wear only 1 black item or no black items at any one time, how many different outfits consisting of a shirt and a pair of pants can he make?
17 outfits
A middle school has a total of 300 students on Team A and Team B. After 30 students are moved from Team A to Team B, there are twice as many students on Team A as there are on Team B. How many students were originally on Team B?
70 students
What is the greatest 2-digit prime number that is 1 greater than a perfect square?
37