Algebra
If 2x+5=11, what is x?
3
What is the area of a triangle with base 10 and height 6?
30
The mode of 4, 4, 5, 6, 7, 7, 7 is what?
7
A farmer has 10 cows and all but 3 run away. How many are left?
3
How many even numbers are there between 0 and 20 inclusive?
11
If 3x-2=7, find 6x+1.
A rectangle is 6 cm wide and 9 cm long. A smaller rectangle 3 cm by 4 cm is cut out of it. Find the remaining area.
42
The average of 10 numbers is 12. If one number (8) is removed, what is the new average?
112/9
What 3-digit number has digits that add to 9 and are in increasing order?
234, 135, 126, 117, etc.
A rectangle has a perimeter of 24 and its length is twice its width. What is the area?
32
If 5x+3=2x+18, find 4x+1.
21
The diagonal of a rectangle is 13, and one side is 5. Find the other side.
12
A student’s quiz scores are 70, 80, 90, and 100. If the lowest score is dropped, what’s the new average?
Five cats catch five mice in five minutes. How many mice do 100 cats catch in 100 minutes (same rate)?
2000
Solve (x+3)/2 = (2x-1)/3
11
If x+y=10 and xy=21, find x2+y2.
58
A rectangle is twice as long as it is wide. Its area is 98. Find its dimensions.
7x14
A coin is flipped 3 times. What’s the probability of getting exactly 2 heads?
3/8
You’re told:
1. Either A or B is telling the truth (but not both).
2. A says “B is lying.”
3. B says “A and I are both telling the truth.”
Who’s lying?
B is lying
A spinner is divided into 5 equal sections numbered 1 through 5. You spin twice. What is the probability the sum is 6?
1/5
The product of two consecutive integers is 156. What are the integers?
12 and 13
A circle fits exactly inside a square (tangent to all four sides). If the square’s side is 10, what is the area outside the circle but inside the square?
100-25pi
A quiz has 5 True/False questions. What is the probability a student guessing randomly gets exactly 3 right?
5/16
Find the smallest positive integer n such that
1. n is divisible by 2
2. n leaves remainder 1 when divided by 3
3. n leaves remainder 2 when divided by 4
10
The sum of two numbers is 10, and the sum of their squares is 58. Find the numbers.
3 and 7