Geometry & Measurement - AEA 267

2010 State6th Grade Math BeeGeometry & Measurement I-3Name__________________________________________School_________________________________________Student Number______________________________Score1. The picture is a rectangular picture 2 inches by 3 inches and the frame is a1-inch-wide frame. What are the dimensions of a picture and frame thatwould have a total area twice as large as the smaller one? (There is morethan one correct answer.)1. _____ by _____2. Which pentagon has an area of 16 square units? (Write the letter of thecorrect choice in the answer space provided.)2. _______________3. How many units is the height of a cube with a volume of 8 units 3 ? 3. _______________units

4. The sum of the measures of the 24 angles in a 24-sided regular polygon is3,960°. What is the measure in degrees of one of the angles?4. ______________ o5. An empty box measures 10 cm by 4 cm by 5 cm. How many 20 cm 3rectangular prisms are needed to fill the box completely?5. _______________rectangularprisms5 cm10 cm4 cm6. The diameter of a bicycle wheel is 60 cm. How far will the bicycle travel in100 turns of the wheel? Give your answer in meters. (Use 3.14 for pi.)6. _______________meters7. Nara wants to determine how much ice it will take to fill her cooler. If thecooler has a length of 22 inches, a width of 12 inches and a height of 10 217. _______________ft. 3inches, how much ice will her cooler hold in cubic feet? (Write youranswer as a decimal rounded to the nearest tenth.)8. How far up on a wall of a building will a 10 meter ladder reach if the footof the ladder is 6 meters from the wall?8. _______________meters

9. The figure shows a solid consisting of 8 cubes of the same size. If the areaof the shaded face of the figure is 36 cm 2 find the volume of the solid.9. _______________cm 310. The minute hand of a clock is 5 cm long. What distance will the tip of theminute hand move in 45 minutes? Use 3.14 for pi.10. _______________cm