MATHCOUNTS 2023 Countdown #11-20
Authored by Brynn Reese
Mathematics
6th - 8th Grade
CCSS covered
Used 1+ times
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10 questions
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1.
OPEN ENDED QUESTION
1 min • 1 pt
The total amount Raven paid for a book was $9.45, which included a 5% sales tax. What was the pre-tax price of the book, in dollars?
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Tags
CCSS.7.EE.B.3
CCSS.7.EE.B.4
CCSS.7.RP.A.3
CCSS.7.EE.A.2
2.
OPEN ENDED QUESTION
1 min • 1 pt
What percentage of positive integer divisors of 120 are even?
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Tags
CCSS.7.EE.B.3
CCSS.7.RP.A.3
3.
OPEN ENDED QUESTION
1 min • 1 pt
You have 6 blue shirts, 5 red shirts, 2 white shirts, 9 black shirts, 12 green shirts and 4 yellow shirts. If you randomly select one shirt, what is the probability you select a blue, black, or white shirt? Express your answer as a common fraction.
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Tags
CCSS.7.SP.C.5
CCSS.7.SP.C.7
4.
OPEN ENDED QUESTION
1 min • 1 pt
A palindrome is a word or number that is the same when the letters or numbers are arranged in reverse order. For example, the word "racecar" and the number 1221 are palindromes. What is the largest palindrome smaller than 1,000,000 in which no digit occurs more than 2 times?
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5.
OPEN ENDED QUESTION
1 min • 1 pt
Two integers have a sum of 100 and a product of 2400. What is their absolute difference?
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Tags
CCSS.7.EE.B.3
CCSS.7.EE.B.4
6.
OPEN ENDED QUESTION
1 min • 1 pt
Manny is thinking of a number. If Manny's number is divided by 13, then multiplied by 11, then decreased by 12, and then added to 73, the result is 94. What is Manny's original number?
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Tags
CCSS.7.EE.B.3
CCSS.7.EE.B.4
CCSS.7.EE.A.2
CCSS.7.EE.A.1
7.
OPEN ENDED QUESTION
1 min • 1 pt
If a 1/2-cup serving of oatmeal contains 150 calories, how many cups of oatmeal are needed for a portion of 200 calories? Express your answer as a common fraction.
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Tags
CCSS.7.EE.B.3
CCSS.7.RP.A.3
CCSS.7.NS.A.2
CCSS.7.NS.A.3
CCSS.7.RP.A.2
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