PREPARING FOR THE CLAST MATHEMATICS Ignacio Bello

Transcription

1 PREPARING FOR THE CLAST MATHEMATICS Ignacio Bello CLAST T.V. PRACTICE TEST Page. Find: + 8. Find: ( ) 9 4. Find: (6 )( ) (6 x 4)( x ) ( )( ) 0 (6 x ) (6 x 6 x 6 x 6)( x x x x ) 4. What is the place value associated with the underlined digit?.9 (base ten) Three hundred students took an achievement test. All of the students scored less than 89 but more than 47. Which of the following values is a reasonable estimate of the average score of the students? Subtract: = Write as a decimal: 6% Insert =, <, or > to make a true statement: None of these answers < > =

2 Page 9. Identify the missing term in the following geometric sequence:,,,,, If 90 is decreased to 8, what is the percent decrease? 8% 0% 7% 80%. If you decrease 40 by 60% of itself, what is the result? What percent of is 8? 4 % 4% 0.. With Andy s new car, he is using only 80% as much gasoline per month as with his old car. He was using 98 gallons of gasoline per month with his old car. How much gasoline per month does Andy save with his new car? 9. gal 78.4 gal 9.6 gal 7.8 gal 4. Sandra works at video store rental and earns $4.00 per hour up through 40 hours per week. She is paid an additional $.0 per hour for each hour over 40 hours per week. How much did Sandra earn in a two-week period if her hours totaled 4 hours the first week and 4 hours the second week? $0.00 $4.0 $6.0 $46.0. How many whole numbers leave a remainder of when divided into 4 and a remainder of when divided into 9? Find: (8.7 x 0 ) (.9 x 0 ) Choose the statement that is not true for all real numbers. ( a + b) ( a b) = ( a b)( a + b) ( 4a ) b = 4( ab) xy (4x + y) = xy(4y + x) ( a ) + ( b) ( a + b)

3 Page 8. Choose the inequality equivalent to x 6 <. < x < x x x > 9. Solve for a: 7 ( a + 9) = 6 [ a ( a) ] Solve for b: 8 b 7 9b + 4 b b = b b. Solve for x: 7x 4x + 8 > 7x (7 x) x < x > x > x <. For each of the statements below, determine whether is a solution. i. x + = 0 ii. ( t 8)( t ) iii. y + y + 8 = 8 iii only i only ii and iii only ii only. If a = ( b + ) and = 4 b find a Find f ( ) given f ( x) = x x Which is a linear factor of x + x +? x + 4 x x + x 6. Use the quadratic formula to solve: x 8x = and and and and 4 +

4 Page 4 7. Solve the system: x + y = 4x + y = 7 { } ( x, y) y = x The empty set (, ) (, ) 8. Solve the system: x y = x y = (, ) (-, ) The empty set {( x, y) y = x + } 9. Which shaded region identifies the portion of the plane in which x and y? 0. Two machines can complete 0 tasks every days. Let t represent the number of tasks these machines can complete in a 0-day month. Select the correct statement of the given condition. 0 t 0 t = 0 0 t = t 0 = 0

5 Page. Ten pounds of grass seed will cover square feet. Let p represent the number of pounds of seed needed to cover 770 square feet. Select the correct statement of the given condition. p 0 = p = = p p = The horsepower that a rotating shaft can safely transmit varies jointly as the cube of its diameter d and the number n of revolutions it makes per minute. If a -inch shaft at a speed of 00 revolutions per minute can safely transmit 600 horsepower, find the horsepower that a 4-inch shaft can safely transmit at a speed of 00 revolutions per minute. 40 hp hp 64 hp 49 hp. The difference between a number and five more than six times the number is seven. What equation could be used to find x, the number? x ( x + 6) = 7 x 6 x + = 7 x ( 6x + ) = 7 x + ( 6x ) = 7 4. Round 80.4 centimeters to the nearest centimeter. 8 cm 80. cm 80 cm 80 cm. Find the distance around this polygon, in kilometers. 90 m 8 m.66 km 6.6 km 66 km.66 km 70 m 8 m 6. Find the surface area of a rectangular solid that is 9 inches long, inches wide, and 8 inches high. 4 in. 04 sq. in. 80 sq. in. 4 sq. in.

6 Page 6 7. Find the cost of carpeting an office that measures feet by 4 feet if the carpet costs $4.0 per square yard. $ $9.00 $ $ Study the regular hexagon, then select the formula for computing the total area of the hexagon. A = hb A = 6( h + b) A = h + b A = 6hb 9. Which statement is true for the figure shown, given that L and L are parallel lines? None of the statements is true. 0 Since m T = 70 Since 0 m S = 00 m T 0 = 70 0 m Q = 6 m V = m R

7 Page Study the figures A, B, C, and D. Then select the figure in which all triangles are similar. 4. A college president wants to find out which courses are popular with students. The president decides to conduct a survey of a sample of students. What procedure would be most appropriate for obtaining a statistically unbiased sample of the college s students? Have students voluntarily mail in their preferences. Survey a random sample of students from the English department. Survey the first hundred students from an alphabetical listing. Survey a random sample of students from a list of the entire student body.

8 Page 8 4. The graph below represents the monthly average temperature for 7 months of the year. How much higher is the average temperature in May than it is in April? The graph below represents the yearly rainfall in inches in Sagamore County for Find the rainfall for 984. I N C H E S inches 8 inches 4 inches inches 44. What is the mean in the following sample? 9, 8, 8, 8, 8,,, 4, From a group of six boys and six girls, a boy and a girl will be selected to attend a conference. How many different pairs can be chosen?

9 Page A box contains two red, four white, and seven blue balls. Two balls are drawn from the box at random without replacement. What is the probability that neither ball is red? x x 0 x x 47. The following is a description of students at a high school by sex and student classification. Freshmen Sophomore Junior Senior Male 7% % 4% 9% Female % 7% 8% % Find the probability that a randomly selected high school student is a senior The negation of the statement Ken is a computer programmer or Betty is a pro golfer is: Ken is not a computer programmer or Betty is not a pro golfer. Ken is a computer programmer and Betty is not a pro golfer. Ken is not a computer programmer and Betty is not a pro golfer. Ken is not a computer programmer and Betty is a pro golfer. 49. Select the rule of logical equivalence that directly transforms (in one step) statement i into statement ii. i. Not all boys and girls are left-handed. ii. Some boys or girls are not left-handed. Not all are p is equivalent to some are not p. Not (not p) is equivalent to p. All are not p is equivalent to none is p. If p then q is equivalent to if not q, then not p.

10 Page 0 0. Sets A, B, C, and U are related as shown in the diagram below. U A B C What statement can be made regarding the relationship among the sets, assuming none of the regions is empty? It is not possible for an element to be a member of sets, A, B, and C. Any element that is a member of set U is also a member of set C. If an element is a member of set A, it is also a member of set B. It is possible for an element to be a member of sets A, B, and C.. Given that: i. No people who teach classes are dumb. ii. All teachers teach classes. Determine which conclusion can be logically deduced. No teacher is dumb. None of these answers. All teachers are dumb. Some teachers are dumb.. Select the conclusion which will make the following argument valid. If you work hard, then you will get a good job. If you get a good job, then you will be ecstatic. If you are ecstatic, then you worked hard. If you are not ecstatic, then you did not get a good job. If you do not work hard, then you will not be ecstatic. If you work hard, then you will be ecstatic.

11 Page. Study the information given below. If a logical conclusion is given, select that conclusion. If you ask questions, you will learn a lot. If you read often, you will learn a lot. You read often and you do not ask questions. Therefore: You listen to others. You will not learn a lot. You will learn a lot. None of these answers. 4. Study the information given below. If a logical conclusion is given select that conclusion. All beachcombers are swimmers. All swimmers wear swimsuits. Pat is wearing a swimsuit. Therefore: None of these answers Pat is a beachcomber Pat cannot swim Pat can swim. All of the following arguments A-D have true conclusions, but one of the arguments is not valid. Select the argument that is not valid. All fleas have six legs and insects have six legs. Therefore, all fleas are insects. All birds have legs and all penguins are birds. Therefore, all penguins have legs. Every borough of New York City is in New York State. The Bronx is a borough of New York City. Therefore, the Bronx is in New York State. All birds have feathers and all penguins are birds. Therefore, all penguins have feathers.

12 ANSWERS FOR THE CLAST - MATHEMATICS. B. A 9. A 4. B. A 6. C 0. A 44. D. D 7. C. C 4. B 4. D 8. A. C 46. C. A 9. C. C 47. D 6. D 0. D 4. C 48. C 7. D. D. D 49. A 8. C. A 6. D 0. D 9. A. D 7. C. A 0. D 4. A 8. A. D. A. A 9. C. C. B 6. B 40. C 4. A. C 7. D 4. D. A 4. C 8. C 4. B