Algebra
If 3+x=5 and -3+y=5, then x+y equals
10
In triangle ABC, angle A is 21° more than angle B, and angle C is 36° more than angle B. The size of B is
41
The integer 119 is a multiple of
a) 2 b) 3 c) 5 d) 7 e) 11
7
Six balls, numbered 2, 3, 4, 5, 6, and 7, are placed in a hat. Each ball is equally likely to be chosen. If one ball is chosen, what is the probability that the number on the selected ball is a prime number?
2/3
It takes Pearl 7 days to dig 4 holes. It takes Miguel 3 days to dig 2 holes. If they work together and each continues digging at these same rates, how many holes in total will they dig in 21 days?
21
A proposed new $5 coin is called the “foonie''. The foonie's two faces are identical and each has area 5 cm2. The thickness of the foonie is 0.5 cm. How many foonies are in a stack that has a volume of 50 cm3?
20
'The integer 2023 is equal to 7 x 172. Which of the following is the smallest positive perfect square that is a multiple of 2023?
(A) 20232 (B) 4 x 2023 (C) 7 x 2023 (D) 17 x 2023 (E) 7 x 17 x 2023
7 x 2023
Gavin has a collection of 50 songs that are each 3 minutes in length and 50 songs that are each 5 minutes in length. What is the maximum number of songs from his collection that he can play in 3 hours?
56
An aluminum can in the shape of a cylinder is closed at both ends. Its surface area is 300 cm". If the radius of the can were doubled, its surface area would be 900 cm"If instead the height of the can were doubled, what would its surface area be? (The surface area of a cylinder with radius r and height h is equal to 2*pi r^2 + 2pirh.
450
Two lines with slope 1/4 and 5/4 intersect at (1,1). What is the area of the triangle formed by these two lines and the line x=5?
8
The remainder when 111 is divided by 10 is 1. The remainder when 111 is divided by the positive integer n is 6. The number of possible values of n is
5
There are six identical red balls and three identical green balls in a pail. Four of these balls are selected at random and then these four balls are arranged in a line in some order. How many different-looking arrangements are possible?
15
Aria and Bianca walk at different, but constant speeds. They each begin at 8:00 a.m. from the opposite ends of a road and walk directly toward the other's starting point. They pass each other at 8:42 a.m. Aria arrives at Bianca's starting point at 9:10 a.m. Bianca arrives at Aria's starting point at what time?
9:45 AM
The entire exterior of a solid 6x6x3 rectangular prism is painted. Then, the prism is cut into 1x1x1 cubes. How many of these cubes have no painted faces?
16
The positive divisors of 6 are 1,2,3,6. The sum of the positive divisors of 1184 is
2394
Ellie's drawer of hair clips contains 4 red clips, 5 blue clips, and 7 green clips. Each
morning, she randomly chooses one hair clip to wear for the day. She returns this clip to the drawer each evening. One morning, Kyne removes k hair clips before Ellie can make her daily selection. As a result, the probability that Ellie chooses a red clip is doubled. Which of the following is a possible value of k?
12