GRADE 6 GEOMETRICAL SENSE (1998)

Make sure you include proper units in your answer!

1. In this figure, A (a square), B (an isosceles triangle)
and C (an equilateral triangle) all meet at a common point.
What is the value of angle X?

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2. In the rectangular prism below, the area of face A is 24 square feet, the area of face B is 16 square feet, and the area of face C is 6 square feet. The lengths of the sides are whole feet (no inches). What is the volume of the prism? (The figure is not drawn to scale)

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3. If the area of rectangle ABCD is 12 sq. cm.
and AD is 4 cm., what is the length of diagonal AC?

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 4. What is the measure of angle "B"?

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5. Two 5 inch radius circles are in contact at a single point.
A straight line is placed on top of the two circles, as shown.
What is the area of the shaded region that is below the line
and outside of both circles? Use 3.14 for pi

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