Sample Questions
Mad Hatter 7
- The coordinates of the midpoint of a segment with endpoints at (-5, 6) and (8, 6) are
- (4, 6)
- (6, 1.5)
- (3, 4)
- (1.5,6)
- Which of the following is smallest?
- 1/3
- 3/5
- 4/9
- 1/2
- If 8x + 9y =28 and 3x +18y = 4, then what is y?
- 4
- 4/9
- –4/9
- -9/4
- Find two consecutive integers so their sum is 33.
- 3, 11
- 16, 17
- 30, 3
- 15, 18
- Train A leaves the station going 60 mph. Train B leaves at the same time going the opposite direction at 80 mph. How long will it take for them to be 420 miles apart?
- 5.25 hours
- 21 hours
- 7 hours
- 3 hours
- A pencil costs 15 cents and a notebook costs 90 cents. If Larry buys the pencil and the notebook together, the price is $1.00. How much did he save by purchasing both?
- $ 1.05
- $ 0.05
- $ 0.95
- $ 0.10
- (-12 + 8i) (10 - i) =
- -128 + 68i
- 128 + 92i
- -112 + 68i
- -112 + 92i
- Khalid bargains to get a jacket for $99, including tax. What must be the price of the jacket if the tax is 10%?
- $ 89.00
- $ 90.00
- $ 90.25
- $ 109.00
- How many whole numbers are between √ 10 and √ 110
- 5
- 8
- 7
- 6
- Marianne can read at a rate of 300 words per minute. While taking a speed reading course, Marianne increases her speed by 13 words per minute. After finishing the course, Marianne's speed drops by 100 words per minute. What percent of her original speed is her current speed?
- 71%
- 72%
- 73%
- 74%
Mad Hatter 8
- Which is not a multiple of 9?
- 981
- 1062
- 9630
- 7061
- In a 30°, 60°, 90° right triangle, if the shortest side is 5 cm, what is the longest side?
- 10 cm
- 8.66 cm
- 7.07 cm
- 7.5 cm
- The scale factor of two similar rectangles is 2 : 3, so the ratio of their total areas is
- 2 : 3
- 4 : 6
- 4 : 9
- 8 : 27
- Solve the equation 3x2 + 8x = 35
- x = 35
- x = 5 and x = -7/3
- x = 7/3 and x = -5
- x = 0
- (3x3 + 7x2 + 2x + y) + (2x2 + 9y) =
- 3x3 + 9x2 + 2x + 10y
- 14x8 + 10y2
- 3x3 + 9x2 + 10y
- 3x3 + 9x4 + 2x + 10y
- Find the other leg for a right triangle with one leg of 3 and a hypotenuse of 5
- 2
- 4
- 16
- √ 8
- What is the area of a circle with the circumference of 12 π?
- 36 π
- 4 π
- 12 π
- 144 π
- A bus has 89 people in it. On its next stop it drops of 16 and picks up 28, and drops off 14 more on its last stop. How many people are in the bus at its last stop?
- 89/2
- 89 x 2
- 89 + 2
- 89 - 2
- If y2 < 2x - 3, then x is
- x > (y2 +3)/2
- x > - ( y2+3)/2
- 2(y2+ 3) < x
- -2(y2 +3) > x
- Lateral area of a cone with a base radius of 3 in, height of 4 in. and slant height of 5 inches in inches squared is
- 12
- 15 π
- 24 π
- 60 π
Terminology
- A cube root is:
- Any number that has a 3 in it.
- A number that is divisible by 3.
- A number that must be multiplied times itself at least three times to equal a number.
- A number that must be multiplied times itself three times to equal a given number.
- None of the above
- A line that crosses two parallel lines is called a(n):
- line
- transversal
- arc
- perpendicular bisector
- slope
- What is the members of a set called?
- Wholes
- Parts
- Numbers
- Elements
- None of the above
- The Fibonacci sequence is
- The sequence of numbers for which the next term is found by adding the previous two terms.
- A sequence to do with the growth of bunnies.
- A sequence like 1, 2, 4, 8, ...
- A sequence of numbers for which many numbers are arranged.
- None of the above
- Pascal’s Triangle is:
- A certain triangle that has special dimensions.
- A certain triangle that has special angles.
- A geometric arrangement of the binomial coefficients in a triangle.
- A triangle made by Pascal with special dimensions and angles.
- None of the above
- Real numbers consist of
- Imaginary Numbers, Non-Terminating Decimals
- Integers, Pi
- Rational, Irrational, Imaginary Numbers
- Rational, Irrational Numbers
- None of the above
- Local minimum is
- The y-coordinate of a turning point of a function if the point is higher than all nearby points
- The y-coordinate of a turning point of a function if the point is lower than all nearby points
- The y-coordinate of the vertex for y = ax2 + b + c when a is greater than 0
- The lowest point in a parabola
- None of the above
- What is an example of deductive reasoning?
- Two column proof
- Contrapostitive
- Skew lines
- Supplementary angles
- None of the above
- A one-to-one function is:
- A function that that is the same to another function.
- A function whose inverse is itself a function.
- A function that is the inverse to another function.
- A function that is quadratic
- None of the above
- What is the name for the set of whole numbers and their opposites?
- Whole numbers
- Integers
- Rational numbers
- Real numbers
- None of the above
Math Bowl
- Adjacent angles are two angles that have
- the same vertex
- a common side
- no interior points in common
- all of the above
- There are 5 boys and 35 girls. What is the ratio of boys to girls?
- 1 to 7
- 7 to 1
- 1 to 8
- 8 to 1
- [(3xy2)3]2 =
- 3x5y7
- 729x6y12
- 243x5y7
- 3x6y12
- If John is 3 times older than Jill, and John is 5 years older than Kevin, how old is Kevin if Jill is 8?
- 29
- 19
- 15
- 24
- What is the best name for this triangle?
- isosceles triangle
- right triangle
- equilateral triangle
- acute triangle
- 13/24 is the average of 17/24 and what other number?
- 3/8
- 5/12
- 5/8
- 1/3
- Find the supplement of 4π/5.
- π/5
- none
- 2π/5
- 3π/5
- Convert 3π/4 radians to degrees
- 133°
- 134°
- 135°
- 140°
- If
, what is the value of m? - -7/2
- -3
- -5/2
- -2
- Find sin(2π + π/6)
- √3/2
- 1/2
- 1/√2
- 1/√3
Road Runner
- In the figure below, what is the area of the shaded region?
- At a certain hardware store, 3 boxes of nails and 6 hammers cost a total of $42.00, and 2 hammers minus 1 wrench cost $4.00. What is the total cost of 1 wrench and 1 box of nails?
- Find four consecutive integers with the product 1680.
- 23 + 34 + 45 + 56 =?
- A circle has a radius of 2.465. Find the area of the same circle.
- How many seconds are in a non-leap year?
- What is the sum of the factors of 100?
- If x = 6.89, and y = 8.125, find 8x2y + 7xy3 + (xy)3.
- If x + 2y = 20, y + 2z = 9, and 2x + z = 22, what is x + y + z?
- If .1% of m is equal to 10% of n, then m is what percent of 10n?