Enrichment Math Challenge #1 - (F16-6)

What number should be placed in the box to make the following equation true?

Mathematical Equivalence

ON

A rectangular garden is broken into square A and rectangle B as shown. The area of square A is 36 sq. ft. and the area of rectangle B is 48 sq ft. What is the perimeter of the garden?

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Alan has taken 5 math tests this semester. He had an average score of 88 on the first 2 tests. He had an average score of 93 on his last 3 tests. What is the average score of Alan's 5 math tests?

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Place the numbers 1, 2, 3, 4, 5, 6 and 7 in the following seven circles so that any three numbers in a straight line has a sum of 14. Use each number once. What number should be place in the middle circle with the question mark?

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ON

Sherry has some square shaped brownies.

*If she arranges them into a square (each row and each column will have an equal number of brownies), she will have 3 brownies left over.

*She can arrange all of them into a rectangle where each row has 10 more brownies than each column.

*She has less than 50 brownies.

How many browies does she have?

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ON

The figure shown, contains a square surrounded by 4 rectangles, each having the dimensions 2 inches by 7 inches. What is the ratio of the area of the inner square to the area of the outer square?

Five girls are standing in line. The sum of the ages of the first 3 girls is 20. The sum of the ages of the middle 3 girls is 25. The sum of the ages of the last 3 girls is 24. The first girl is 5 years old and the last girl is 6 years old. What is the age of the second girl in line?

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ON

Mathematical Equivalence

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The wall pictured is made up of identical rectangular tiles. Three shapes are drawn on the wall. The perimeter of shape A is 64 inches, and the perimeter of shape B is 76 inches. What is the perimeter of shape C?

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Amy draws a square. As shown in the diagram, she extends each side of the square by 2 inches. She then connects the endpoints to form a new, larger square. The area of the new square is 36 square inches greater than the area of the original square. What is the area of the original square?

Mathematical Equivalence

ON