1.5 - 1/4
1.25
What is the volume of this rectangular prism?
60 cubic units
(-4) x (-4)
16
What fraction of the glasses has orange juice? What is that fraction in simplest form?
3/4
-8 + 20
12
What is 6/100 in decimal form?
0.06
(12,345 x 25432)0
1
Convert the following percent into its equivalent decimals and fractions.
17%
.17 17/100
What is the area of a triangle with a base of 7 units and a height of 8 units?
28
8y + 2 = 50
y=6
- 10 - 2( 4+3) -5(3)
-39
1. What is the value of (8 x 4 + 2) - (8 + 4 x 2)?
18
Tammy purchase items for a total of $82.65. She had a coupon for 15% off a purchase of $50 or more. How much did Tammy pay for her items?
$70.25
Dennis bought shoes on sale for 25% discount. If the shoes were originally $200, how much did Dennis pay for his shoes?
$150
If Kai earns $24 after working 4 hours, how much will he have earned after working 97 hours?
$582
A ribbon that is 6 meters in length is cut into 24 pieces that are all the same length. What will be the length of each piece, in centimeters?
(Note: 100 centimeters = 1 meter)
25 centimeters
If Sam saves $30 from a store and pays $103 total, what percent was discounted from his purchase?
around 22.5%
A lake contains 250 trout, along with a variety of other fish. When a marine biologist catches and releases a sample of 180 fish from the lake, 30 are identified as trout. Assume that the ratio of trout to the total number of fish is the same in both the sample and the lake. How many fish are there in the lake?
1500
You have a circle with a radius of 5 cm. What is the circumference?
31.4
Gilda has a bag of marbles. She gives 20% of them to her friend Pedro. The, Gilda gives 10% of what is left to her other friend, Ebony. Finally, Gilda gives 25% of what is left in the bag to her brother. What percentage of her original bag does she have left?
54
The eighth grade class at Lincoln Middle School has 93 students. Each student takes a math class or a foreign language class or both. There are 70 eighth graders taking a math class, and there are 54 eighth graders taking a foreign language class. How many eighth graders take only a math class and not a foreign language class?
39
Sohil randomly picks a number from 1 to 10. Sejal randomly picks a number from 1 to 25. What is the probability that the product of the numbers they choose is odd?
13/50 or 65/250
How many ways are there to arrange the letters of the word APPLE?
60
How many ways are there to arrange the letters of the word OPOSSUM if the arrangement must end in an M?
180
7 Shauna takes 5 tests, each worth a maximum of a 100 points. Her scores on the first three tests were 76, 94, and 87. In order to average an 81 on all five tests, what is the lowest score she could earn on one of the two tests?
48
Aaron, Darren, Karen, Maren, and Sharon rode on a small train that has five cars that seat one person each. Maren sat in the last car. Aaron sat directly behind Sharon. Darren sat in one of the cars in front of Aaron. At least one person sat between Karen and Darren. Who sat in the middle car?
(A) Aaron (B) Darren (C) Karen (D) Maren (E) Sharon
(A) Aaron
Ricardo has 2020 coins, some of which are pennies (1-cent coins) and the rest of which are nickels (5-cent coins). He has at least one penny and at least one nickel. What is the difference in cents between the greatest possible and least possible amounts of money that Ricardo can have?
(A) 8062 (B) 8068 (C) 8072 (D) 8076 (E) 8082
(C) 8072
Akash’s birthday cake is in the form of a 4 × 4 × 4 inch cube. The cake has icing on the top and the four side faces, and no icing on the bottom. Suppose the cake is cut into 64 smaller cubes, each measuring 1 × 1 × 1 inch, as shown below. How many of the small pieces will have icing on exactly two sides?
(A) 12 (B) 16 (C) 18 (D) 20 (E) 24
(D) 20
For positive integer n, the factorial notation n! represents the product of the integers from n to 1. (For example, 6! = 6·5·4·3·2·1.) What value of N satisfies the following equation?
5! · 9! = 12 · N!
(A) 10 (B) 11 (C) 12 (D) 13 (E) 14
(A) 10
Jamal has a drawer containing 6 green socks, 18 purple socks, and 12 orange socks. After adding more purple socks, Jamal noticed that there is now a 60% chance that a sock randomly selected from the drawer is purple. How many purple socks did Jamal add?
(A) 6 (B) 9 (C) 12 (D) 18 (E) 24
(B) 9