Percent of change
Tax, Tip, Discount, mark-up
Tax, Tip, Discount, mark-up
Angles & Pythagorean Theorem
Cones & Pyramids
Probability
Combine Like Terms
100
On Ruth’s first day, she swam 1000 meters in the pool without stopping. After training for several weeks, she was able to swim 2500 meters without stopping. This is the percent increase from Ruth’s first swim to her most recent.
What is 150%?
100
Angles ABC and DEF are complementary. If m∠DEF is 71.8°, this is m∠ABC.
What is 18.2 degrees?
100
The height of a square-based pyramid is 12cm. The volume of the pyramid is 676 cm3. This is how long each side of the square base.
A. 7.5 cm B. 13 cm
C. 56 cm D. 169 cm
What is B?
100
Kayla has some colored marbles that are the same size and shape.
The probability of randomly selecting a red marble is 30%.
The probability of randomly selecting a yellow marble is 13%.
This is the closest to the probability that Kayla will randomly select a marble that is NOT red, replace it, then randomly select a marble that is yellow.
A. 9% B. 26%
C. 4% D. 61%
What is A. 9%?
100
2(3x − 1.75) − 3(1.5x − 2.5)
What is
What is 1.5x+4?
200
Mr. Porter’s grocery bill is $143.74. This is the total Mr. Porter owes after 5.3% sales tax is added to his bill.
What is $151.36?
200
John travels north 36 miles and then east 48 miles. Google Maps on his phone indicates that he is 60 miles from his original starting point. This equation could be used to determine if these measurements form a right triangle.
What is 36^2 + 48^2 = 60^2?
200
An ice cream cone has a height of 6 inches and a diameter of 2.5 inches. If it’s only filled to the top of the cone, this is about how much the ice cream cone can hold. (Use 3.14 for π.)
A. 9.8 cu. in. B. 28.5 cu. in.
C. 29.4 cu. in. D. 39.3 cu. in.
What is A. 9.8 cu. in.?
200
Carlos did a probability experiment with the tools below. This is the probability the arrow will land on the section labeled A and the coin will land on heads.
What is 1/12?
200
The following is NOT equivalent to −3x + 1.
A. −2(2x − 3) − 5 + x
B. −(4 + x) − 2x + 3
C. 3 − x + 2 − 2(x + 2)
D. −(3x + 1) + x + 2 − x
What is B. −(4 + x) − 2x + 3?
300
Jonathan bought a new jacket. The jacket originally cost $79.95 but is on sale for 20% off. This is how much Jonathan paid for the jacket.
What is $63.96?
300
These sets of side lengths construct right triangles.
A. 24, 10, 26
B. 5, 4, 3
C. 1, 2, 3
D. 10, 17, 7
E. 1.5, 2.5, 2
F. 5, 7, 35
What are A and B?
300
This is how much construction paper would be needed to make a square-based pyramid with a slant height of 16 inches and a side length of 15 inches.
What is 705 sq. in.?
300
These are all independent events. (Assume all events are random.)
A. A spinner with 4 sections is spun and a coin is flipped.
B. Two six-sided number cubes are rolled.
C. A card is drawn, not replaced, and then a second card is drawn.
D. A piece of candy is chosen, eaten, and then a second piece is chosen
E. A letter from the alphabet is chosen and a number between 0 and 10 is chosen.
F. A six-sided number cube is rolled and a coin is flipped.
What are A, B, E and F?
300
4x + x + 5 − 6
What is 5x-1?
400
An airplane leaves Richmond on a Monday morning carrying 375 passengers to New York City. On Tuesday morning, there were 155 passengers flying from Richmond to New York City. This is the percent decrease in the number of passengers.
What is 59%?
400
All of the following statements are true except —
A. Congruent supplementary angles each measure 90°.
B. Vertical angles share a common vertex.
C. Adjacent angles are congruent.
D. Complementary angles are acute.
What is C?
400
Kings Dominion is designing a steel, cone-shaped structure that will sit at the entrance to its newest roller coaster. The cone will have a radius of 15 meters, a height of 25 meters, and a slant of 26.1 meters. This is how many square meters of steel is needed to build the structure. (Use 3.14 for π and round your answer to the nearest whole number.)
What is 1936 sq. meters?
400
Flora and Gabe will randomly select from a bag of candy containing 6 grape, 8 cherry, and 6 lime Jolly ranchers. This has the greatest probability of occurring.
A. Flora will pick a grape candy, not replace it, and then pick a cherry candy.
B. Gabe will pick a lime candy, replace it, and then pick another lime candy.
C. Gabe will pick a cherry candy, not replace it, and then pick a lime candy.
D. Flora will pick a cherry candy, replace it, and then pick another cherry candy.
What is D?
400
5x − 3x + 3 − 4 − x − 1
What is x-2?
500
An online service sells sports championship tickets at a markup of 250%. If a ticket originally costs $125, this is how much the resale service charges after adding its markup to the price.
What is $437.50?
500
A bus travels north for 45 miles, then turns west. It travels west until it arrives at its final destination. At the end of the route, the bus is 60 miles from its starting location. To the nearest whole number, this is how many miles to the west the bus traveled.
What is 40 miles?
500
A cone has a volume of 942 cm3 and a radius of 10 cm. This is the height of the cone.
What is 9 cm?
500
During the basketball game, the cheerleaders sold 50 scratch tickets. There are 2 winning scratch tickets and 48 that are not winners. This is the probability that the two tickets Ruth purchased are not winners.
A. 90% B. 92%
C. 94% D. 96%
What is B 92%?
500
These two expressions are equivalent to 8x + 3.
A. − 2x + 5(2x + 1)
B. 1.5(4x + 6) + 2(x − 3)
C. x + 5(x + 3) + x + x
D. 4(2x + 1) + x − 1
E. 3(3x + 1) − x
F. 2 + 3(2x + 1) − 2
What are B. 1.5(4x + 6) + 2(x − 3) and E. 3(3x + 1) − x?