MATHCOUNTS 2023 Countdown #1-10

What is the value of 1/2 + 1/3 + 1/4 + 1/5? Express your answer as a common fraction.

Tags

CCSS.5.NF.A.1

CCSS.5.NF.A.2

Raj made $200 doing odd jobs last month. He spent 49% of the money on video game accessories. How many dollars did Raj spend?

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CCSS.6.RP.A.3C

What percentage of positive integers less than or equal to a hundred are greater than or equal to 50?

Kwame is cutting isosceles triangles with 6-inch legs from a 30-inch by 30-inch square sheet of plywood. What is the greatest number of triangles of this size he can cut?

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CCSS.HSG.CO.C.11

What is the value of the expression 1^1 + 2^2 + 3^3 + 4^4?

The arithmetic mean of 5, 8, 11, a and b is 9. What is the value of a + b?

If the sum of the number of roses and violets in a bouquet is 22, and roses outnumber violets by 2, what is the number of violets in the bouquet?

Tags

CCSS.8.EE.C.8C

Tucker owns a tuk-tuk, a motorized three-wheeled vehicle, which he uses to run a taxi tour. He charges $5 for every mile traveled on a tour, and the tuk-tuk can travel a minimum of 16 miles per hour. What is the minimum number of minutes that it would take Tucker's tuk-tuk taxi tour to tally $200 in total earnings?

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CCSS.6.EE.B.8

In scientific notation to 8 significant figures, the value of 17^2022 is equal to 9.2836557 x 10^2487. When written out as an integer, how many digits does 17^2022 have?

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CCSS.8.EE.A.3