Question 1
Question
James tossed three coins in the air simultaneously.
What is the probability of getting exactly two tails?
Question 2
Question
3x + y = 5
x + 3y = 6
What is the value of 2x?
Question 3
Question
here are four friends standing in a line. John is taller than Linda. Thomas is shorter than Kendra, but taller than Linda.
Who is the shortest person?
Answer
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Laine
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Thomas
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John
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Linda
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Kendra
Question 4
Question
A car at a dealership is priced at $15,100. The salesman tells you he will give you 15% off the original price.
The car now costs how much after the discount?
Answer
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$13,600
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$12,835
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$12,365
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$11,855
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$13,495
Question 5
Question
The measures of the angles of a triangle are in the ratio of 1 : 2 : 7.
What is the measure of the largest angle in the triangle, in degrees?
Question 6
Question
A circle with a radius of one is inscribed inside a square.
What is the total area of the square not covered by the circle?
Question 7
Question
40 people, not including the driver, rode the bus to the basketball game. 75% of the riders were basketball players, 1/8 of them were coaches, and the rest were cheerleaders.
How many cheerleaders rode the bus?
Question 8
Question
Central angle AOB of circle O has a measure of 45 degrees. The radius of the circle is 8.
What is the length of arc AB?
Question 9
Question
If point A is at (4,2) and point B is at (6,4), then what is the midpoint of AB?
Answer
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(2,2)
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(4,3)
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(5,3)
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(3,5)
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(3,4)
Question 10
Question
If angle b is eight times the measure of angle a, then what is a + c, in degrees?
Question 11
Question
If 2x + 5 = 3y and 2y - 10 = 4x, then the product (xy) is equal to which of the following?
Question 12
Question
If w < x < y < z and w > 1, which of the following must be true?
Answer
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w + z > x + y
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(z/w) > (y/x)
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x - w > z - y
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zw > yx
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w - z > x - y
Question 13
Question
Students at Arlington High are voting for a Prom King and Queen. There are 5 boys in the running for Prom King and 4 girls in the running for Prom Queen.
How many different King/Queen combinations are there?
Question 14
Question
If f(x) = |2x + 9|, what is f(-6)?
Question 15
Question
In the figure above, if angle a is 35 degrees, what is the measure of angle c, in degrees?
Question 16
Question
One right triangle has angles a and b. Another right triangle has angles b and c.
a, b, and c are not right angles.
If a / 2 = c / 2, then which of the following is true?
Question 17
Question
If 2x + y = 4, then what is y/2?
Question 18
Question
A train was traveling at 70 miles an hour for 2 hours, then 65 miles an hour for 5 hours, then 60 miles an hour for 1 hour.
What was the train's average speed during the trip?
Answer
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60.33
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70.00
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67.81
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65.63
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65.46
Question 19
Question
Mark makes $3 per every golf ball he sells, and $2 per every golf tee he sells.
If the total amount of money he makes must be greater than $25, and the total amount of golf tees he sells must be greater than 5, then the sum of the number of golf balls and golf tees he sells must be greater than which of the following?
Question 20
Question
If f(x) = x3 + 3x + 5, what does f(x - 1) equal?
Answer
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x3 - x2 + 2x + 3
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x3 + 3x2 + 6x + 3
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x3 - 3x2 + 4x + 3
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x3 - 3x2 + 6x + 1
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x3 + x2 + 2x + 1
Question 21
Question
Suzannah lives in the center of town. Holly's house is 6 miles due north of Suzannah's house. Wendi lives 8 miles due east of Suzannah.
How far apart do Holly and Wendi live?
Answer
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24 Miles
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14 Miles
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100 Miles
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10 Miles
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7 Miles
Question 22
Question
If n is a multiple of 12, which must be a multiple of 8?
Question 23
Question
On Monday, a boutique sells a shirt for a certain price. On Wednesday, the shirt is discounted 20%. On Friday, the shirt is discounted an additional 10% from its Wednesday price.
If the item sold on Friday, for what percent of the Monday price did it sell?
Question 24
Question
A house has only cats and dogs.
If the ratio of cats to dogs is 3 to 4, then which of the following could be the total number of cats and dogs in the house?
Question 25
Question
4x + 3y = 10 and 8x - ky = 20 are equations of two lines.
For what value of k will these lines be the same?