Matematika :

Nov 28, 2011

Soal Latihan Matematika : PIMS Grade 7

1. The radius of a semicircle is 10 metres. A square is inscribed in the semicircle, with one side on the diameter, as shown in the diagram. Find the area of the square (in m2 ).

2. The human body has (on average) 114 trillion cells (114×1012 ) . The weight of each cell (on average) is 55×1011 grams. What is the average weight of the human body (in kilograms)? Give your answer as a decimal, correct to one decimal place

3. What is the remainder when 1024 is divided by 9997?

4. Aziz wrote all of the ten thousand integers from the number 1 to the number 10000, one by one, in increasing order. The beginning of his sequence looks like this:
1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19, 20, ...
Note that he wrote the digit 0 for the first time when he wrote the number "10", and he wrote it for the second time when he wrote the number "20". In what number N, of his sequence, did he write the digit 0 for the 2007-th time?

5. In the diagram, BCED is a trapezoid. The length of DE is 10. The line segment AG is a height of the large triangle, and it intersects DE at F. Also given: AF=5, and FG=3. Find the area of the trapezoid.

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