Keystone National Middle School Math Level 7 Placement Exam

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1 Keystone National Middle School Math Level 7 Placement Exam ) Erica bought a car for $,000. She had to add Pennsylvania s sales tax of 6%. The total price of the car is closest to? $,00 $6,000 $,000 $,000 ) Convert the following fraction to a decimal ) Find the area of the parallelogram Hint: A = b x h ) How many ounces are in. pounds? Hint: 6 ounces = pound.6 ounces 9. ounces 0 ounces 6 ounces 8 in 0 in in 0 in ) 00 students at a local college campus were asked to choose between chocolate and vanilla ice cream. 0 of the 00 students chose chocolate. If the college has a total of 000 students, approximately how many students would prefer chocolate ice cream? ) A cereal box has the following dimensions: height of inches and width of inches. If the volume of the box is 9 cubic inches, find the length of the box. Hint: V = lwh 0 inches 8 inches inches 6 inches Page of 0

2 7) Add to following fractions +6 8) What is the equation of the line shown in the following graph? y = x + y = -x + y = x y = -x 9) Out of the friends that I have, the proportion of blonds to brunettes is 6 to 9. Which of the following statements is false? The ratio of the number of friends to brunettes is to 9 The ratio of brunettes to blonds is 6 to 9 The ratio of blonds to the number of friends is 6 to The ratio of brunettes to the number of friends is 9: 0) Given the function y = x Complete the table x - 0 ½,, - -, -, - -, -, -,, y Page of 0

3 ) The trail is 9 of a mile long. It is 0 marked by 6 evenly spaced markers. How far apart are the markers placed? Simplify your answer miles 8 miles 0 miles 9 60 miles ) A bag contains red marbles, black marbles, and yellow marbles. What are the chances of picking a marble that is not black? ) Simplify +(8-) ) Solve 7 + [(+) ( +)] ) What are the next two numbers in the pattern, 7,, 67,, 9, 0 9, 0, 607 0, 98 6) Convert 0.6 to a fraction 6 6 Page of 0

4 7) Identify the coordinates of point A 8) What is the ratio of yellow suns to blue moons? (,) (,) (-,) (-,-) : :8 : :8 9) Solve for x x 0 = 0) Solve for x x 7 = ) Joe can type 60 words per minute. How long will it take him to type a 800 word essay? hours 0 minutes hour 0 minutes hour 0 minutes hours 0 minutes ) Dan scored of the points at last night s basketball game. What percentage of the total points did he score? % 0% % 0% Page of 0

5 ) Solve 7+(6x +) ) Which of the following is a translation of six less than three times a number x x-6 6x- 6-x -6x ) Compare the quantities x and x < > = none of the above 6) How many seconds are in hours and minutes? 0 7,0 8,00,00 7) Evaluate x-y x if x = and y = - 8) Reduce answer to the lowest terms x 7 x 8 8 9) Solve (8 (+)) x (7+(-)) = ) What is the mathematical expression for the $00 earned was split between all the people and each got $.0? 00 p =.0 00/p =.0 00p =.0 00p +.0 Page of 0

6 ) Use the table to find the number of students who scored in the 70 s 7 6 Stem Leaf 9,, 7, 7, 9 8 0,,,, 7 7,,, 6 6, 6, 9 ) Frank has board games. He bought of his games on the Internet. ) Sue has twice as much money as Chris. Together they have nine dollars. Let x equal the amount of money that Chris has. Which of the following equations can be used to find the amount of money that Sue and Chris each have? x + x = 9 (x+) = 9 x = 9 x x = 9 ) Find the value of x and y Of the games he bought on the Internet, are card games. How many card 6 games did he buy on the Internet? games 0 games 8 games games x= and y= x=8 and y= x=6 and y= x= and y=7 ) You select a letter at random from the following letters A B C D E Find the theoretical probability of selecting a vowel? 7 6) The chart below shows the response from 0 students as to how many times a day he or she drinks from the water fountain. What is the median? Page 6 of 0

7 7) Use the line graph to determine during which hour period did the temperature not change 8) Name the coordinates of point A and B on the graph below the temperature did not change between 7 am and 9 am the temperature did not change between am and pm the temperature did not change between pm and 7 pm the temperature did not change between pm and pm (, ) and (-, ) (-, -) and (-, -) (-, ) and (, -) (, -) and (, ) 9) The length of a track around a field is miles. You jog times around the track. How far do you jog? miles miles 7 8 miles mile 0) You received the following scores in math class: Should you describe your tests using the mean, the median or the mode to show how well you are doing in math? mean mode median none of the above Page 7 of 0

8 ) Find the circumference of the circle below Hint: Circumference = π diameter ) Find the area of this trapezoid Hint: Area = h(b + b ). km 7.7 km. km.7 km 0 ft 08 ft ft 6 ft ) You attempt 6 free throws in a basketball game. Your results are shown below. ) What is the estimated cost of 600 gallons of water? 0 = miss = make What is the experimental probability of making a free throw? $0 $ $0 $ Page 8 of 0

9 ) The continental United States has four time zones. Consider time changes as positive when going east and negative when going west. Find the time in the indicated time zone 6) Which angles are complementary? 6:00 A.M.: time zones east and and and and :00 A.M 7:00 A.M. 8:00 A.M. 9:00 A.M. 7) The length of the wing of a model airplane is inches. If the scale of the model plane to the actual plane is inch feet, what is the length of the actual wing? = 8) Using the pattern of two prisms below. How many cubes will there be in a third prism? Page 9 of 0

10 9) Complete the congruence statement Δ ABC 0) Using the given chart, find the percentage of x Δ FED Δ FDE Δ DFE Δ FE 0% 0% 0% 9% Page 0 of 0

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