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Craven County Seventh Grade Prerequisite Skill Probes 2.02 Solve problems involving volume and surface area of cylinders, prism, and composite shapes. Vocabulary polyhedron triangular prism rectangular prism cube pentagonal prism hexagonal prism length width height base face lateral face lateral area radius diameter circumference density Single-digit addition and subtraction 6 7 9 17 +3 +8 -4 -8 Answers: 6 7 9 17 +3 +8 -4 -8 9 15 5 9 Double-digit addition and subtraction 36 57 69 73 +22 +35 - 43 - 39 Answers: 36 57 69 73 + 22 + 35 - 43 - 39 58 92 26 34 Triple-digit (and larger) addition and subtraction 425 649 475 653 + 372 + 270 - 213 - 474 Answers: 425 649 475 653 + 372 + 270 - 213 - 474 797 919 262 179 1 Single-digit multiplication and division 6 8 4 9 3 18 2 3 7 5 Answers: 6 8 4 9 3 18 2 3 7 5 18 56 20 3 9 Double-digit multiplication and division 31 64 3 519 7 380 25 57 Answers 31 64 3 519 7 380 25 57 775 3648 173 54 R2 Triple-digit (and larger) multiplication and division 457 984 x 25 x 345 457 984 x 25 x 345 11,425 339,480 2 32 192 12 6096 16 816 Answers: 6 508 51 32 192 12 6096 16 816 22 690 119 2618 218 10904 Answers: 31 R8 or 31.36 22 50 R4 or ~50.02 22 690 119 2618 218 10904 Checking answers for accuracy Sue solved the problems below. Check her answers for accuracy. Circle items she has answered correctly. 609 12,473 7,325 915 7 4263 - 3,492 + 6958 x 23 9,081 14,283 20,045 Answers: 609 12,473 7,325 915 7 4263 - 3,492 + 6958 x 23 8981 14,283 21,045 Not circled Circled Not circled Circled 3 Order of Operations Solve: 8 18 6 10 2 3 33 4(15 3) Answers: 5 2 13 25 (3 1) 13 62 3 5 (7 5) 2 15 Answers: 28 21 19 Cross-Multiplication Cross multiply to determine if these two fractions are equivalent. 2 14 3 9 2 3 = 3 16 5 15 8 12 3 15 9 5 2 12 3 8 Answer: 2 16 14 3 32 42 ; ; 45 45 24 24 Measurement: Scale Measure this line to the nearest centimeter. Answer: 8 centimeters 1 Draw a line 6 inches . 8 Draw a line 42 mm. Draw a line 2.6 cm. 4 On a map, one inch equals 20 miles. How many miles would it be if the line is 4 inches? 1 inch = 4 inches 20 miles x Answer: 80 miles On a map, one inch equals 33 miles. If it is 99 miles to Clayton, how long is the line on your map? 1 inch x inches Answer: 3 inches 33 miles 99 miles Measurement: Direction Label the compass (N, S. E, W) Measurement: Conversion (Use a calculator if needed.) How many millimeters equal 1 centimeter? _____ Answer:10 How many centimeters equal 1 meter? _____ Answer:100 How many inches equal 1 foot? _____ Answer:12 How many inches equal 1 yard? _____ Answer:36 How many feet equal 1 yard? _____ Answer:3 5 How many feet equal 1 mile? _____ Answers: 5280 How many feet and inches are in 26 inches? _____ Answer: 2 feet 2inches How many inches are in 5 yards 3 feet? ______ Answer: 216 inches Measurement: Geometry Which of the following figures are examples of a polyhedron? Answers: All are Polyhedron except ---- These two figures have bases, but their sides are not made up of polygons. How many faces do the following shapes have? rectangular prism _____ triangular prism _____ cube ----- Answers: 6; 4; 6 What are the shapes of the bases for--- rectangular prism _____ rectangle 6 triangular prism _____ triangle cube _____ square If the radius of a circle is 6, what is the diameter? Answer: 12 Given the diameter of a circle is 8, what is the circumference? (C= π D) Answer: 25.12 or 25.13 Find the area of the following. Use a calculator as needed. 4 3 4 5 3 5 6 2 Answers: 9 units squared, 24 units squared, 78.5 units squared, 5 units squared Find the area of a room that is 12 feet by 6 feet. Answer: 72 square feet Find the square footage of a bathroom that is 6 feet by 4 feet. Answer: 24 ft 2 What is the name for the measure of the total area of the surfaces of an object? Answer: Surface Area 7 What is the surface area of the following rectangular prism? 4 units 3 units 2 units Answer: 2[(2x3) + (3 x4) + (2 x 4)] 2(26) = 52 square units What is the name for the measure of the interior of a space expressed in cubic units? Answer: Volume The net below might form a ___________ prism. Answer: rectangular Find the volume of the prism below. 4 units 3 units 2 units Answer: 2 x 3 x 4 = 24 cubic units 8

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seventh grade, social studies, 7th grade, language arts, middle school, grade curriculum, Eighth Grade, grade students, Sixth Grade, seventh grade math

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posted: | 3/27/2011 |

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