Divisibility
Percentages
Averages
Probability and Arrangements
Fractions
100
What are the factors of 36?
1,2,3,4,6,9,12,18,36
100
If the price of a computer was decreased from $1,000 to $750, by what percent was the price decreased?
What is 25%
100
What is the average of 3, 5, and 10?
What is 6.
100
In a small garden of flowers, 3 are daisies, 4 are sunflowers, 2 are gardenias, and 3 are carnations. If a flower is selected at random, what is the probability that it will be a gardenia?
What is 1/6.
100
Which of the following is greatest? a) 3/5 X 5/3 b) 3/5 / 5/3 c) 3/5 + 3/5 d) 5/3 - 3/5 e) 5/3 / 3/5
What is (e) 5/3 divided by 3/5
200
Which of the following could be a factor of N(N + 1), if N is a positive integer less than 3? a) 3 b) 4 c) 5 d) 8 e) 9
What is (a) 3.
200
If the sales tax on a $30.00 item is $1.80, what is the sales tax rate?
What is 6%
200
Caroline scored 85, 88, and 89 on three of her four history tests. If her average score for all tests was 90, what did she score on her fourth test? a) 89 b) 90 c) 93 d) 96 e) 98
What is (e) 98.
200
A restaurant offers a three- course dinner menu from which a person can select 1 of 4 appetizers, 1 of 5 main courses, and 1 of 3 desserts. How many different combinations of appetizer, main course, and dessert are possible?
What is 60.
200
Which of these two fractions is bigger? 5/7 or 8/11
What is 8/11
300
If Darlene divided 210 chocolate kisses into bags containing the same amount of kisses, each of the following could be the number of kisses per bag EXCEPT a) 35 b) 21 c) 20 d) 15 e) 14
What is (c) 20.
300
If 20% of P is 10, then 10% of P is a) 2 b) 4 c) 5 d) 8 e) 14
What is (c) 5.
300
The average of 8, 13, X, and Y is 6. The average of 15, 9, X and X is 8. What is the value of Y? a) -1 b) 0 c) 4 d) 6 e) 8
What is (a) -1.
300
What is the probability of randomly choosing a white marble from a bag that contains 4 white marbles, 2 blue marbles, and 3 green marbles?
What is 4/9
300
In a jar of cookies, there is 1/6 probability of randomly selecting an oatmeal-raisin cookie and a 1/8 probability of selecting a sugar cookie. If the remaining cookies are all chocolate chip, then which of the following could be the number of cookies in the jar? a)14 b)16 c)20 d)24 e)32
What is (d) 24.
400
Which of these numbers is not divisible by 3? A) 339 B) 342 C) 552 D) 1111 E) 672
What is (D) 1111.
400
Mabel agreed to pay the tax and tip for dinner at a restaurant with her four friends. Each of the friends paid an equal part of the cost of the dinner, which was $96. If the tax and tip together were 20% of the cost of the meal, Mabel paid how much less than any one of her friends? a) $2.40 b) $4.80 c) $9.20 d) $19.20 e) $24.00
What is (b) $4.80.
400
I got in my car and drove 40 miles to see my cousin and was going 20 MPH. It took me 2 hours to get there. Then, I left my cousin's and drove another 30 miles to the store but this time went 10 MPH. It took me 3 hours to arrive at the store. What was my "average speed" for the whole trip?
What is 14 MPH.
400
In a drawer of socks, the probability of selecting a black pair of socks is 3/8, and there are 1/3 as many blue pairs of socks as there are black pairs of socks. If there are 12 brown pairs of socks, how many socks are there in the drawer? a) 16 b) 24 c) 32 d) 40 e) 48
What is (b) 24.
400
At an icecream store, 18 customers ordered a scoop of chocolate, 12 customers ordered a scoop of vanilla, and 10 customers ordered a scoop of strawberry. If everyone ordered only single scoops, what fraction of the store's customers ordered a scoop of vanilla? a) 2/3 b) 11/20 c) 9/20 d) 2/5 e) 3/10
What is (e) 3/10.
500
When the integer n is divided by 8, the remainder is 3. What is the remainder if 6n is divided by 8? A) 0 B) 1 C) 2 D) 3 E) 4
What is (C) 2.
500
If 200% of 40% of X is equal to 40% of Y, then X is what percent of Y? a) 10% b) 20% c) 30% d) 50% e) 80%
What is (d) 50%
500
Tracey ran to the top of a steep hill at an average pace of 6 miles per hour. She took the exact same trail back down. To her relief, the decent was much faster; her average speed rose to 14 miles per hour. If the entire run took Tracey exactly 1 hour to complete and she did not make any stops, how many miles is the trail one way?
What is 4.2 miles.
500
Janice has 3 belts (1 blue, 1 red, 1 green), 3 bracelets (1 blue, 1 red, 1 green), and 3 scarves (1 blue, 1 red, 1 green). If Janice wants to create an outfit containing a belt, a bracelet, and a scarf such that each item is a different color, how many possible outfits can she create? a) 6 b) 9 c) 15 d) 21 e) 27
What is (a) 6.
500
At a track meet, 2/5 of the first-place finishers attended Southport High School, and 1/2 of them were girls. If 2/9 of the first-place finishers who did NOT attend Southport High School were girls, what fractional part of the total number of first-place finishers were boys? a) 1/9 b) 2/15 c) 7/18 d) 3/5 e) 2/3
What is (e) 2/3.