2024/25 Challenge Set #6 (F18E)

Mathematical Equivalence

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Grandma says, "My age is a two-digit number. One of the digits is a prime number, and the other digit is a factor of 12." What's the greatest possible value for grandma's age?

Mathematical Equivalence

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Juan looks into a mirror and sees his digital clock reflected in the mirror as shown. Which of the choices does the clock actually read? Enter A, B, C or D as your answer.

Coach Kenneth bought 16 jerseys and Coach Brian bought 12 jerseys. If Coach Kenneth spent $28 more than Coach Brian, how much did the two coaches spend together? Note: All jerseys cost the same.

Mathematical Equivalence

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Rachel had an average score of 85 on her first three math tests and got a score of 97 on the fourth math test. What was her averave score of all four tests?

Mathematical Equivalence

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While Elijah was cleaning the basement, he saw ants and spiders. He counted 15 heads and 96 legs. How many spiders did he see? Note: Every spider has 1 head and 8 legs, and every ant has 1 head and 6 legs.

Mathematical Equivalence

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Ms. Garvin has 8 numbered cards as shown below. She gives Abby, Bobbie, Colby and Gabby each two cards. The sum of the two numbers on Abby's cards is 17, the sum of the two numbers on Bobbie's cards is 15, and the sum of the two numbers on Colby's cards is 11. Who has the card with the number 3 on it?

In the following rectangle ABCD, the sum of the lengths of AB, BC and CD is 90cm. The sum of the lengths of BC, CD and AD is 78cm. What is the perimeter of rectangle ABCD?

Mathematical Equivalence

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Diego is going to run on a 2-mile long loop trail while Diana bikes on the same trail. Diego runs at a constant speed of 6 miles per hour, and Diana bikes at a constant speed of 10 miles per hour. If they start from the same point on the trail together and travel in the same direction, how many minutes will it take Diana to overlap Diego after they take off?

Mathematical Equivalence

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In the following multiplication problem, the same letters represent the same digits, and different letters represent different digits. If the letter E represents the digit 1, what digit does the letter B represent?

Mathematical Equivalence

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