MATHCOUNTS 2023 Countdown #21-30

Avery buys a pair of shoes for $34.00, not including sales tax. If this price is discounted by 15% from the original price, what the original price in dollars? Express your answer to the nearest dollar.

Tags

CCSS.6.RP.A.3C

The quiz scores of the 17 students in an algebra class are shown in this stem-and-leaf plot, where 8 | 2 represents a score of 82. What was the median quiz score for this class?

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CCSS.6.SP.A.2

CCSS.6.SP.A.3

CCSS.6.SP.B.5

A paper bill of any US denomination has a mass of 1 gram. What is the mass of $1,000,000 worth of 100 dollar bills, in kilograms?

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CCSS.5.MD.A.1

What is the units digit of 3^75?

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CCSS.HSF-IF.C.8B

Jeremy has been wearing a hat for n years. If he wears it for six more years, he will have work the hat for 6^2 years. How many years has Jeremy been wearing his hat?

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CCSS.8.EE.A.2

The quantity 60 is 320% of what number? Express your answer as a decimal to the nearest hundredth.

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CCSS.6.RP.A.3C

Consider the set of all positive integers less than 50 that are divisible by 3. What is the mean of the set? Express your answer as a decimal to the nearest tenth.

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CCSS.7.EE.B.3

The two legs of a right triangle are 8 meters and 15 meters. What is the perimeter of the triangle in meters?

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CCSS.8.G.B.8

It takes Yoki 35 minutes to complete 5/6 of her homework. Assuming she works at a constant rate, how many minutes does it take her to complete all of her homework?

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CCSS.7.RP.A.1

What is the absolute difference of the sum of the first 2023 even positive integers and the first 2023 odd positive integers?

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CCSS.7.EE.A.1