Challenge Set #9

Renee baked a total of 24 muffins this morning. One-third of these muffins were blueberry muffins. How many blueberry muffins did Renee bake this morning?

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ON

A family TV channel is going to show movies for 12 hours this Saturday. If each movie is 1 hour and 30 minutes long, what is the greatest number of full-length movies that can be plaed on the channel this Saturday?

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ON

How many different positive factors does the number 63 have in total?

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Sherry only has 2 blue shirts and 12 white shirts. How many additional white shirts does she need to buy so that 10% of her shirts are blue?

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How many different ways are there to place the given four number cards in the four squares shown below, one card in each square, so that the sum of the two number sin each row is a multiple of 3 and the sum of the two numbers in each column is also a multiple of 3?

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ON

The product of two 2-digit numbers is a perfect cube, and one of these 2-digit numbers is 28. What is the other 2 digit number?

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Each of the nine numbers from 1 through 9 is placed in one of the nine boxes in the grid below so that the sum of the three numbers in each row and in each column is the same. What number must be placed in the box with the question mark?

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Terry has six number beads numbered 1 to 6. How many different ways can she place all six beads in a row so that the sum of any two beads nuxt to each other must be either 5 or 7?

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When Niki started biking on a straight road, she spotted Jason who was 480 feet ahead of her, walking on the same road in the same direction. By the time Niki finished biking, she was 870 feet ahead of Jason. Niki biked a total of 2,100 feet and had an average biking speed of 840 feet per minute. What was Jason's average walking speed in feet per minute during that time period? Note: Both Niki and Jason didn't change their directions during that time period.

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It is 12 o'clock, and the hour hand and the minute hand overlap, as shown. After 12 minutes, what will be the measure (in degrees) of the acute angle formed by the hour hand and the minute hand?

Mathematical Equivalence

ON