2013 AEA 267 School ________________________________ th 6 Grade Math Bee Student Numbers____________________ Geometry & Measurement I-3 Information you may need: V = lwh 1 A = bh 2 P = 2w + 2l V = Bh Score C = 2r A = lw 1 V= Bh 3 1 mile = 5280 feet A = r2 Use 3.14 for V = r2h A= 1 (b1 + b2)h 2 1. A cylindrical vase has a diameter of 12 cm and a height of 15cm. What is the volume of water when the cylinder is half full? 1. ________________ cm3 2. Below is the diagram of a cardboard pattern. Imagine folding the cardboard into a 3-dimensional figure. What 3-dimensional shape would you have? (Write the letter of the correct choice in answer space provided.) 2. ________________ A. B. C. D. Hexagon Hexagonal Prism Octagonal Pyramid Hexagonal Pyramid 3. How many lines of symmetry are in the following shape? 3. ________________ lines of symmetry 4. Three houses share yard space in the shape of a trapezoid as shown below. What is the area of the trapezoidal yard? 4. ________________ feet 2 8 feet 45 feet 90 feet 5. If the mA = 123°, what is the measure of the supplementary angle? 5. ________________ degrees 6. How many inches are there in 0.25 miles? 6. ________________ inches 7. The Great Pyramid in Egypt is a square pyramid with a base of 756 feet and a height of 481 feet. What was the volume of the pyramid? 7. ________________ feet3 8. The rectangle shown below has a length of 20 meters and width of 10 meters. If four triangles are removed from the rectangle as shown, what will be the area of the remaining figure? 8. ________________ meter2 4m 4m 4m 4m 4m 4m 4m 4m 9. In the triangle below, what is the length of side AB? 10. How many 200-milliliter servings can be poured from a pitcher that contains 2 liters of juice? 9. ________________ units 10. ________________ servings
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