CLT Math Quantitative Reasoning Practice Test Timed

• (11 + 4x) − (2 − x) =

• In a pond of 1,600 fish, 25% of the fish are trout. The remaining fish are bass. How many fewer trout are there than bass?

• In the figure above, point A is both a vertex of square ABCD and the center of a circle that contains arc BD. If the area of square ABCD is 100 square meters, what is the area of the shaded region?

Joe answered 37 out of 50 questions correctly on his history exam. What percentage of the questions did he get wrong?

• A can contains 40 chips: 10 each of red and blue, 12 white, and the remaining black. If Susan were to remove 3 black and 2 red chips, what is the probability that the next one she removes is black?

MEAT SOLD AT DELI COUNTER

• According to the table above, salami made up what percentage of the total number of pounds of meat sold at the deli counter?

• On Monday, 100 people played golf at a certain golf course. The pro shop sold 14 dozen golf balls that day. At this rate, approximately how many dozens of golf balls can the pro shop expect to sell on Tuesday if 150 people are scheduled to play?

• Carin opened a money market account with a deposit of $3,000. This account earns 2% simple interest annually. How many years will it take for her $3,000 deposit to earn $420 in interest, assuming she does not withdraw any of the money?

• The population of a particular bacteria doubles in size every 19 hours. If the population is 100 at 2:15 p.m. on a given day, at what time of day will the bacteria have doubled twice?

• Which of the following numbers does not have factors that include the smallest factor (other than 1) of 119 ?

• Bob, Ted, and Carol are all splitting a reward they received for returning someone’s wallet. If Bob and Ted each take one-quarter of the reward, and Carol gets $40, how much was the reward in total?

• In the equation above, if n = 30 and y = 300, what is the value of x ?

• Larissa spends 3 times as many hours reading as Tom does, and Nela spends half as many hours as Tom does. If all 3 people read for a total of 18 hours, for how many hours did Tom read?

David is now 4 years more than twice the age of Henry. If Henry will be 18 in 3 years, how old was David 2 years ago?

• If 3x + 8 = 44, what is the value of x ?

• Angle A and angle B are supplementary. If the measure of angle B is one-third the measure of angle A, what is the measure of angle B?

• If n is an even integer that is greater than −3.75, what is the least possible value of n ?

• A certain test consists of multiple-choice questions and essay questions in the ratio of 5:2. If the test contains 6 essay questions, what is the total number of questions on the test?

• At summer camp, campers are randomly assigned to one of 25 cabins and one of 4 cafeterias. Josef likes 8 of the cabins and 2 of the cafeterias. What is the probability that he is assigned to both a cabin and a cafeteria that he likes?

• For what value of x does 6(8 − x) = 3(x − 2) ?

• A bus travels 1,070 miles from Jacksonville, FL, to Syracuse, NY. The bus covers the first 310 miles in 5 hours. If the bus continues to travel at this rate, how many more hours will it take to reach Syracuse? Round your answer to the nearest whole hour.

• What is the least common multiple of 8, 32, and 48 ?

• The side length of square A is shorter than the side length of square B by 5 inches. The perimeter of square A is 100 inches. What is the difference, in square inches, between the area of square A and the area of square B?

• There are 250 giggles in one laugh and 3 laughs in a burst. How many giggles are in 2 bursts?

• If AD = 20 centimeters, DC = 15 centimeters, BC = 7 centimeters, and AB = 24 centimeters, what is the area of quadrilateral ABCD?

• Jennifer has $200 in her checking account. She makes $6.48 per hour babysitting her cousins. If she wants to buy a guitar that costs $310.04 (including tax), how many hours must she work?

• What is the mean price paid by the 100 customers in the table above?

• Isabel has 10 boards that are x meters long. She has 5 boards that are 2x meters long. She also has 4 boards that measure 3 meters, 6 meters, 9 meters, and 13 meters, respectively. If she were to lay all her boards in a straight line with no gaps between them, the boards would measure 271 meters. What is the value of x ?

• Lucia speed walks 3 kilometers in 2⁄3  of an hour. At that rate, how many meters does she speed walk per minute?

A survey asked students what types of exercise they regularly do. Based on the results, the following statements are all true.

40 students jog
36 students lift weights
12 students both jog and lift weights
16 students neither jog nor lift weights

How many students were surveyed?

• In March, the electricity used in New York was 5,000,000 watts. In April, the number of watts used was 4,000,000. By what percentage did the electricity usage decrease from March to April?

• What is the average of all the even numbers in the set {2, 3, 4, . . . , 12, 13, 14} ?

• If x = 2 and 2x(2y − x) = 16, what is the value of y ?

• Jin completed 8 pages in his math workbook and 12 pages in his science workbook. This is 25% of the total number of pages in both workbooks together. If there are 32 pages in his math workbook, how many pages are there in his science workbook?

The sum of 6 consecutive odd numbers is 36. What is the difference between the highest and the lowest of these numbers?

• In a scale drawing of a rectangular patio, the length is 14 inches and the width is 10 inches. In the drawing, 4 inches represents 5 yards. What is the length of the actual patio, in yards?

What is the circumference of the circle inscribed in the square above?

• Daniel is packing crates of tires for storage in a warehouse. Each crate can hold 9 tires. If Daniel has 469 tires to store and fills all but the last crate, how many full crates of tires will Daniel have to put in the warehouse?

• Which number line shows the solution to the inequality above?

• Margo bowled a mean of 110 points per game in her first 4 games. In her 5th game, she bowled 160 points. What is her mean score for the first 5 games?