Questions from Cheyenne

22 Feb

1.     Kenneth had some money at first.  After he spent 1/3 of his money on a bag, his father gave him $12 more.  He then spent 1/3 of what he had on a book.  After his sister had given him another $5, he had $57 left. How much money did Kenneth have at first?

2.    The figure below is made up of one rectangle and two triangles.  1/4 of the rectangle is covered by Triangle A and 1/3 of the rectangle is covered by Triangle B.  3/8 of Triangle A and 1/4 of Triangle B is out of the rectangle.  What fraction of the area of the figure is the area of the rectangle not covered by the two triangles?  Give your answer in its simplest form.

C_10_1

3.   The square below is divided into 5 parts as shown.

C_11_1

The areas of A and B are in the ratio of 1 : 4.  The areas of C, D and E are in the ratio of 3 : 8 : 4.

(a) What fraction of the square is part D?

(b) Part B is bigger than Part E by 32 m2.  Find the area of half of the square.

Please click the following link for suggested solutions: Questions from Cheyenne 22.02.13

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