Arithmetic
Equations and Inequalities
Functions
Slopes and Lines
Logical Reasoning
100
The 4 basic arithmetic operations.
What are +, -, x, and \div?
100
Things we use to represent unknown quantities.
What are variables?
100
A relation between things such that one input maps to only one output.
What is a function?
100
How far left or far right a point is, and how far up or far down a point is.
What are the x and y coordinates?
100
The next number in this series:
53, 53, 40, 40, 27, 27, ...
What is 14?
(53, 53, (-13) → 40, 40, (-13) → 27, 27, (-13) → 14, 14.)
200
Multiplying a number by itself a certain number of times.
What is exponentiation?
(e.g. 5^4 = 5*5*5*5 = 625 )
200
One is a mathematical phrase that is built up of numbers variables and operations, the other is a mathematical sentence that says both sides are the same.
What is the main difference between an expression and an equation?
Expression: 2 xx 2/(3*x^2)
Equation:
3a+2=5
200
All possible inputs, and all possible outputs from those inputs for a function/relation.
What are domain and range?
(e.g. for f(x) = 4 , the domain is \mathbb{R} (all real numbers), while the range is {4} .)
200
A way to calculate the slope/steepness/gradient of a line.
What is
\text{rise}/\text{run} = \text{change in y}/\text{change in x} = (y_2 - y_1)/(x_2-x_1)
?
200
Tanya is older than Eric.
Cliff is older than Tanya.
Eric is older than Cliff.
If the first two statements are true, this is what the third statement will be.
What is False?
(Because the first two statements are true, Eric is the youngest of the three, so the third statement must be false.)
300
The multiplicative and additive identities.
What are 1 and 0 also called?
(identity - doesn't change the other number when doing the operation)
300
The opposites of "less than" (<) and "less than or equal to" (<=), respectively.
What are "greater than" (>) and "greater than or equal to" (>=)?
300
The value of g(x) = 3x^2-4 when x = -5 .
What is 71?
300
The slope of a ski slope that's 200 feet wide and 150 feet tall.
What is 3/4 = 0.75 ?
300
The number of triangles in the picture given below:
What is 10?
400
(3^2 -8)/2 + 5\cdot (-4) = ?
What is -19.5 = -39/2?
400
The solution to:
-2x+1=3+x
What is x=-2/3 ?
400
The reason why this is or isn't a function:
What is not a function because when x=1 , there are two values for y ?
400
The sum of the slopes of all the lines in this image, and the equation of the line with the lowest slope:
What are 1.5 and y=-2x+3 ?
(slope-intercept form:
y= \text{slope}\cdot x + \text{y-intercept}
)
400
The digit that will appear on the face opposite to the face with number 4.
What is 3?
(Here the common faces with number 3, are in same positions. Hence 6 is opposite to 2 and 5 is opposite to 1. Therefore 4 is opposite to 3.)
500
1 + 1/2 + 1/4 + 1/8+1/16=?
What is
31/16 = 1\frac{15}{16} = 1.9375?
500
At least this many generations have been completed in the last 2025 years and before that, assuming that a generation on average lasts 25 years.
What is 81?
((25x,>=,2025),((25x)/25,>=,2025/25),(x,>=,81))
500
The domain and range of this function:
What are
(-\infty, \infty) and [-1,1]
?
500
The equation of the line between (0,f(0)) and (2,f(2)) , where f(x) is described by the following graph:
What is y= 2x ?
(slope = (f(2)-f(0))/(2-0) = (4-0)/(2) = 4/2=2 , intercept is at 0, using slope intercept form, y=mx+b : y=2x+0 = 2x )
500
The number of prime numbers less than 50.
What is 15?
(2,3,5,7,11,13,17,19,23,29,31,37,41,43,47)