Math 092 Practice Final #4 GEOMETRY FORMULAS Circle: C 2 r or C d A r2 Triangle: A= 1 Rectangle: P = 2L + 2W A=L∙W Cylinder: V r 2h 4 V r3 3 1 b∙h 2 Rectangular Solid: V = L∙W∙H 1 Cone: V r 2 h 3 Sphere: ________________________________________________________________________ 1.) TRUE or FALSE: 3+4 = 4+3 is an example of the associative property. 9 2.) Convert to a decimal: 40 17 5 (3 4) (8) (3) 3.) Simplify using order of operations: 9 4.) Convert to a percent. 20 Questions 5 and 6 refer to a triangle ABC if mB 50 and mC 91.5 5.) Find mA. 6.) Is B acute, obtuse, or a right angle? 7.) Add: 8.) Add: 12.2 + 219.957 2 1 3 5 9.) Write in words: 17.05 (a 2b) (5a 6b) 10.) Simplify: 11.) Find the perimeter of the square below: 2 meters 2 10 5 13.) Find the volume of a cone if the radius is 3 ft and the height is 6 ft. (Leave your answer in terms of ) 12.) Divide and reduce to lowest terms, if possible: 14.) Divide: (48) ÷ (-6) 15.) Find the area of a triangle with base 10 in and height 5 in Math 092 Practice Final #4 2 2 16.) Simplify using order of operations: 1 2 1 3 3 2 2 3 x 3 4 18.) Convert to a fraction and reduce to lowest terms: 17.) Simplify: x 0.004 19.) Divide: 2.583 ÷ 2.1 20.) Find the missing side of the right triangle below: 8 6 21.) Find the total cost of a compact disc priced at $15 if the sales tax is 6%. 22.) What percent of 250 is 50? 23.) What is 2% of 45.5? 24.) Find the prime factorization of 120 25.) Find the volume of the figure below: 2 yds 1.5 yds 3 yds 26.) Solve for x: 27.) Subtract: 3 x 6 20 -15 – 15 28.) Multiply and reduce, if possible: 1 5 1 3 2 9 29.) Find the supplement of an angle which measures 29°. 30.) Last week, Ken worked 32 hours and made $240. How many hours would he have to work to earn $300? 31.) 20 is 40% of what number? Math 092 Practice Final #4 3 32.) Is 0.2 an integer, rational, or irrational? 33.) Write as a unit rate: 56 miles in 2 hours 34.) Subtract: 63 – 7.134 3 ______ 0.3 35.) Fill in the blank with < or >: 100 Questions 36, 37, and 38 refer to the following data: 3, 22, 1, 12, 17, 9, 10, 3, 2, 1 36.) Find the mean. 37.) Find the median. 38.) Find the mode(s). 39.) Simplify: 1 5 4 3 6 40.) Answer TRUE or FALSE (explain your answer!): 1 0 .3 3 41.) Answer TRUE or FALSE (explain your answer!): 4 2 16 31 8 43.) Convert to a fraction and reduce to lowest terms: 44.) Convert to a percent: 0.7 13 1 45.) Subtract and reduce, if possible: 30 30 42.) Convert to a mixed number: 46.) Multiply: 2.4% 4.21 ∙ 2.3 47.) An Xbox 360 originally sold for $400. If it is now on sale for $300, find the percent decrease. 1 1 ,0.15, ,0.01 48.) Write in order from smallest to largest: 10 9 49.) Round 25.28557 to the nearest 1000th. 50.) Find the area of a circle with diameter 12 inches. (Leave your answer in terms of ) Math 092 Practice Final #4 4 ANSWERS: 1.) FALSE 2.) .225 7.) 232.157 8.) 11.) 8 m 12.) 17.) 2 x 1 1 18.) 12 250 23.) .91 28.) 16 3 34.) 55.866 7 15 3.) 46 5.) 38.5° 6.) acute 9.) seventeen and five hundredths 10.) -4a + 4b 13.) 18π ft3 14.) -8 15.) 25 in2 16.) 19.) 1.23 20.) 10 21.) $15.90 22.) 20% 24.) 23∙3∙5 25.) 9 yds3 26.) x=10 27.) -30 29.) 151° 30.) 40 31.) 50 32.) rational 33.) 28 mph 35.) < 36.) 8 37.) 6 38.) 1 and 3 39.) 5 1 25 40.) FALSE 41.) FALSE 42.) 3 46.) 9.683 4.) 45% 47.) 25% 7 8 48.) 0.01, 43.) 3 125 1 1 , ,0.15 10 9 5 9 1 5 2 5 44.) 70% 45.) 49.) 25.286 50.) 36π in2