TERRA Environmental Research Institute

Transcription

1 TERR Environmental Research Institute MTHEMTIS FT PRTIE STRN 2 Measurement Perimeter and rea ircumference and rea of ircles Surface rea Volume Time, Weight/Mass, apacity, and Temperature SUNSHINE STTE STNRS N ENHMRKS M M M M M M M

2 TIPS Familiarize yourself with the formulas on the reference sheet before you take the test. ll formulas for area and volume are on the reference sheet.\ ll conversion tables are on the reference sheet. Perimeter is the measure around a figure. The perimeter of a figure is found by adding the measures of all its sides. nswers contain units such as cm., in, km, m, etc. ircumference is the length around a circle. nswers contain units such as cm., in, km, m, etc. rea is the measure of the space inside a planar (2 dimensional) figure. nswers contain units raised to the 2 nd power: cm 2, in 2, yd 2, and so on. Volume is the measure of the space inside a e dimensional figure. nswers contain units raised to the 3 rd power such as: cm 3, in 3, yd 3, an so on. The word dimensions refer to any of the following: length, width, and height. The sum of the angles of any triangle is always 180. The sum of the angles of any quadrilateral is always 360. The sum of the angles of any n-gon is (n-2)180. (See reference sheet). To find the surface area of any figure, find the area of each face and then add them up. prism is a box. The most popular prisms are: square prisms, rectangular prisms, hexagonal prisms, and triangular prisms. They take their names from their bases. dd your own notes as we practice with the following problems. FT PRTIE STRN 2 Student Name ate urrent Math Teacher 1

3 1) To make a kite, Jody needs to cut out of plastic four triangles like the one shown here. How many square feet of plastic will she need for the kite? ) circle has a radius of 5 meters. Which of the following expressions could be used to find the distance around the circle?.... 3) team picture is 14 inches long and 12 inches wide. To build a frame for the picture, how many inches of framing material would you need?.... 4) race began at 9.13.M. The winner crossed the finish line 2 hours 36 minutes later. The last-place finisher crossed the line 28 minutes later. What time did the last-place finisher complete the race?. 11:17.M.. 12:13 P.M.. 11:49.M.. 12:17 P.M. 5) rectangular swimming pool is 50 feet long and 30 feet wide and is filled to a depth of 5 feet. What is the volume of the water in cubic feet? 6) On a metric scale, a student weighed 57 kilograms. What is his weight, in pounds, to the nearest tenth pound? Short Response 7) garden is in the shape of a parallelogram. How many feet of edging would it take to install a border around the garden? Short 8) Patricia is building a wooden Response dollhouse. In the 2

4 living room, she plans to wallpaper three walls and the ceiling as shown in the diagram. How many square inches will she cover with wallpaper? The room is in the shape of an open box. ll walls are rectangular. 9) Tony used a jigsaw to cut this shape out of a piece of plywood. a) Explain in words how you could find the area of the remaining piece of plywood and b) use the method you described to solve the problem. 10) board id 12 feet 4 inches long. Mike cuts off a short iece, leaving a board that is 9 feet 9 inches long. How many inches did he cut off? ssume no wood was wasted in the cut. 11) The inside diameter of the ice cream cone below is 6 centimeters. How many cubic centimeter of ice cream will the cone hold? 12) To create this shape, a circle was divided into four equal pieces, and two were removed. What is the area of the remaining pieces? 13) Short circle with an area of about 50 square inches has a radius of 4 inches. What would happen Response to the area if you doubled the length of the radius? Explain your answer. 3

5 14) Short diameter of a wheel is 50 centimeters. How many centimeters will the wheel travel if it Response makes 25 complete revolutions? Short 15) barrel is filled with water to the height shown in the drawing. Response How many more cubic feet of water could the barrel hold? 16) The drawing below shows an empty sand hopper at a construction site. The upper part is in the shape of a right circular cylinder with a height of 12 feet and radius of 10 feet. The lower part is in the shape of a right circular cone with a height of 15 feet. etermine the volume of sand in cubic feet, that will completely fill the sand hopper. Show all work necessary to justify your answer. 17) Jackie wants to determine the number of gallons of paint needed to paint the entire deck of cargo ship. sketch of the deck is shown below. How many square feet will be painted? 18) shipping carton for computer parts is in the shape of a cube that measures 10 inches on each 4

6 edge. In each of its bottom corners, the carton has 1 foam cube. Each foam cube measures 2 inches on an edge, as shown, in the diagram below. What is the volume in cubic inches on the empty space in the shipping carton when the 4 foam cubes are inside the box? 19) n orange juice company sells a can of frozen orange juice that measures 9.4 centimeters in height and 5.2 centimeters in diameter. The company wants to sell a larger can of juice. The height of the can is kept at 9.4 cm, but the diameter is increased to 8.5 cm. bout how many times more juice will the new can hold? 1.6 times as much.1.7 times as much. 2.7 times as much. 3.3 times as much 20) Sonya needs to buy ribbon to wrap around the rectangularshaped present shown. She also needs 25 inches or ribbon to make a bow. Which expression represents the minimum amount of ribbon Sonya needs to buy?.... FT PRTIE STRN 2 - NSWER SHEET 5

7 Name ate urrent Math Teacher 1) 2) 3) 4) 5) 6) 7) 8) 9) nswer: 10) 11) 12) 6

8 13) 14) 15) 16) nswer: 17) 18) 19) 20) 7