FTCE General Knowledge Practice Test (GK) Math

FTCE General Knowledge Practice Test (GK) Math Which Statement defines division, assuming y does not equal 0? - ANS - x divided by y equals z If And Only If x times y equals z In the number puzzle shown, if x is the ...

FTCE General Knowledge Practice Test (GK) Math Which Statement defines division, assuming y does not equal 0? - ANS - x divided by y equals z If And Only If x times y equals z In the number puzzle shown, if x is the starting number and y represents the final result, which equation is equivalent to the number puzzle? [ Pick a number. Add 10 to the number. Multiply the result by 5. Subtract 70. Divide by 5.] - ANS - y equals x minus 4 In triangle ABC shown, segment CE has length 200 meters and segment EA has length 100 meters. In triangle ADE, segment DE has length 50 meters. What is the area of triangle ABC? - ANS - 22,500 M square Evaluate 7+3(4^2)-8 - ANS - 47 The Whole number y is exactly three times the whole number x. The whole number z is the sum of x and y. Which number can't be the value of z? - ANS - 314 Justine bought a souvenir jacket while vacationing in a Texas town where the sales tax is 8.25%. He paid $108.25 for the jacket plus tax. What was the price of the jacket before sales tax? - ANS - 100.00 Theo ran a 1500-meter race. How many kilometers did Theo run in the race? - ANS - 1.5 km The following Farenheit temperatures were the lowest recorded in February for the past 5 years in a particular city. 2, 0, -6, 4, and 8 degrees. Which shows the temperature in order from coldest to warmest? - ANS - -8, -6, 0, 2, and 4 degrees Sabrina knows she can mow a rectangular lawn that measures 30 yards by 40 yards n 2 hours. She estimates it will take 4 hours to mow a rectangular lawn that measures 60 yards by 80 yards. Is Sabrina's estimate reasonable? - ANS - No, because doubling the dimensions will quadruple the lawns area, resulting in four times the mowing time. If 30% of a monthly salary of $2,400 is budgeted for rent, how much money is budgeted for rent? - ANS - $720 If the surface area of a sphere is 144(3.14)cm^2, what is the volume of the sphere? - ANS - 288(3.14)cm^3 If a circular flower garden has a diameter of 3 feet, what is the approximate area of the garden? - ANS - 30.5ft^2 How many cubic feet of cement are in a rectangular cement slab that is 0.5 feet thick and measures 20 feet long and 10 feet wide? - ANS - 100 ft^2 A box that has the shape of a cube and measures 10 centimeters on a side is cut open to form a flattened figure. What is the surface area of the box? - ANS - 600 cm^2 A car travels 221 miles in 3 hours 15 minutes. How many miles per hour did the car travel? - ANS - 68mph A nutrition expert recommends healthy adults drink 64 ounces of water each day. At this rate, how many gallons of water will be consumed in a week by a person who follows the recommendation? - ANS - 3.5 gallons On a map, the distance between two landmark is 9.5 inches. If 1/2 inch represents 10 miles, how far, in miles, is it between the two landmarks (to the nearest mile)? - ANS - 190 miles How much will it cost, without including tax, to carpet a large classroom that measures 18 feet by 15 feet if the cost of the carpet including installation, is &$25.75 per square yard? - ANS - $722.50 Which linear equation represents the data shown; INPUT X/: -3. 0. 5. OUTPUT Y: -11. -5. 5. - ANS - Y=2X-5 A length of cable is attached to the top of a 16-foot pole. The cable is anchored 12 feet from the base of the pole. What is the length of the cable? - ANS - 20 ft A square is a - ANS - parallelogram, rectangle, and rhombus. A square is not a cube. Harry, Maria, and Kelly attend a movie together. A ticket for the movie costs $10. Harry has $30. Kelly forgot her purse and needs to borrow the money for her ticket from Harry. Harry owes Maria $9. and will pay her first. Does Harry have enough money for this situation? Which method can be used to arrive at a correct answer for this question? - ANS - Subtract $9. from $30, and then subtract two times $10. Simplify 4+2(3x+1) - ANS - 6x+6 Find f(-4) when f(x)=20-x - ANS - 24 Solve for x: 3(x-6)=21 - ANS - 13 Determine which ordered pair satisfies the given system: 2x-y=-7 x+3y=-7 - ANS - (-4,-1) If x=-5 which statement is true? - ANS - 3x<2x Solve -2x+5<7 - ANS - x>-1 A survey of 200 middle school students revealed the 200 students have a median weekly allowance of $10.75, and 35 percent of them received no allowance at all. Which statement is a definite conclusion from the information provided? - ANS - One hundred students receive an allowance of $10.75 or less. Given is a box of 50 marbles, all identical except for color. The box contains 20 blue, 10 red, 14 green, and 6 yellow marbles. If a person picks out a single marble from the box without looking, what is the probability the marble will be yellow or blue? - ANS - 13/25 Which set of prices has a median of $10.24? - ANS - $11.98, $10.50, $9.98, $8.50, $12.95, $9.98 Which set of scores has a mode of 87? - ANS - 99,87,93,94,87,90 A box contains 40 tiles, and all identical shape and size, numbered 1 through 40. If a person picks out a single tile from the box without looking, what is the probability the number on the tile will e a prime number? - ANS - 3/10 At the begining of of the year, a school district requires administration of a benchmark test in mathematics to all students in grades 6 thgough 8 in the distict's two middle schools. The test results showed 15 percent of the students at Sunshine Middle School in the ditrict, were below grade level in mathematics. Based on these data, which conclusion is valid? - ANS - 15 percent of all students in grades 6-8 at sunshine middle school are below grade level in mathematics. Jolene and Meiko, students in 9th grade algebra I class, are conducting a survey of the opinions of the 600 9th grade students in their high shcool on whether students should be required to wear uniforms. Which method of surveying the students will allow Jolene and Meikp to make valid conclusions about the 9th grade students' opinion about wearing uniforms? - ANS - Ask 100 9th grade students in the high school whose names are chosen at random. For a school project, Chad conducted an experiment to determine whether growing roses under artificial red light instead of in ordinary sunlight affects the number of flowers produced. Chad randomly selected 30 rose plants, all of the same variety. The 30 plants were grown under red light and the nuber of flowers produces was much greater than expected. Based on these data, Chad concluded growing roes under artificial light produces more flowers than does growing in ordinary sunlight. Rohan tells Chad his conclusion is not valid. Which critique of Chad's experiment best supports Rohan's statement? - ANS - Chad should have grown another group of 30 randomly selected rose plants of the same variety in identical conditions, but under ordinary sunlight.