Arithmetic
(7/10) X (5/7)
1/2
7a=24-a
3
A triangle has sides of lengths 5, 12, and 13. What type of triangle is it?
Right triangle
The mode of a data set is 10. What does this tell you about the data set?
10 is the most frequently occurring value.
A standard 6-sided die is rolled once. What is the probability of rolling a number greater than 4?
1/3
If a car travels 300 miles on 12 gallons of gas, what is the car’s miles per gallon (mpg)?
25 mpg
At an All-You-Can-Eat buffet, there are a total of 168 chicken wings available. If a customer wants to eat all of the chicken wings but only has a total of 1 hour to spend at the buffet, what is the slowest speed, in wings per minute, at which he can eat and still finish all of the wings in time?
2.8 wings/min
Square ABCD has a side length of 10. Circle P is inscribed in square ABCD. What is the area of circle P?
25pi
What is the median of these numbers? 2,27,28,19,67,44,35
28
A box contains 4 red balls, 3 blue balls, and 2 green balls. If one ball is drawn randomly from the box, what is the probability that the ball is either blue or green?
5/9
In a student’s backpack there are pencils, erasers, notebooks, and rulers in a ratio of 3:3:2:1. The total number of the items in the backpack is 27. If 12 students have identical backpacks, how many total erasers do they have?
108
What is the value of 𝑦 in the following system of equations?
2𝑥+5𝑦=11
4𝑥−2𝑦=−14
3
What is the measure of the sum of two inner angles of an equilateral pentagon?
216 degrees
In a community, there are 50 members of the Sports Club, 40 members of the Drama Club, and 20 members of both the Sports Club and the Drama Club. If the community has a total of 100 members, how many members are not part of either the Sports Club or the Drama Club?
30
Emily was on holiday, so she waltzed into an ice cream shop wanting to make an ice cream smoothie. The shop had 10 different flavors, but she is only allowed 3 scoops. How many different smoothies can she make? assuming she can only use the same flavor once per order
120
Delilah must read 900 pages in her biology textbook to study for the midterm. It took her 30 minutes to read the first 3 pages. At this rate, how many additional hours will it take her to finish studying?
149.5
Solve for x in the equation (2x-3)/5 = (x+4)/2
-26
A circle is drawn with an area of 81pi. If Jean drew a second circle with a radius half the length of the radius of the original circle, what would be the circumference of the second circle?
9pi
A survey of 100 students found the following number of books read over summer: 0 books (10 students), 1 book (20 students), 2 books (30 students), 3 books (25 students), 4 books (15 students). What is the mean number of books read?
2.15
{1, 2, 3, 4, 5, 6} Company X wants to assign each employee a 3-digit ID number formed from digits in the set shown above. No digit may appear more than once in an ID number, and no two employees may be assigned the same ID number. What is the greatest total number of possible different ID numbers?
120
Each child in a certain class is required to have school supplies of 1 notebook and 2 pencils. One notebook costs $1.09 and one pencil costs $0.59. With $15, what is the maximum number of children that can be provided with the required supplies? (Assume no tax.)
6
A farmer has a certain number of cows and chickens. The total number of animals on the farm is 40, and the total number of legs is 124. If each cow has 4 legs and each chicken has 2 legs, how many cows and how many chickens does the farmer have?
22 cows and 18 chickens
Rectangular prism X has a volume of 15 cm^3. Rectangular prism Y has a length twice that of X and width three times that of X. What is the volume of prism Y?
90cm^3
The average weight of 7 bags of flour is 4 kg. After adding an 8th bag with a weight of 6 kg, the average weight of all 8 bags becomes 4.5 kg. What was the total weight of the 7 original bags?
30
A bag contains 5 red balls, 3 blue balls, and 2 green balls. If you randomly draw 3 balls from the bag without replacement, what is the probability that exactly 2 of the balls are red?
5/12