2017 Houston ISD Middle School Mathematics Test A Contest

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1 2017 Houston ISD Middle School Mathematics Test A Contest (1) = A) 63 B) 62 C) 61 D) 56 E) 55 (2) Twenty-four percent of twenty-five is A) 60 B) C) 96 D) E) 6 (3) = A) B) C) D) E) None of these (4) = A) B) 4 C) D) E) (5) Which one the polygons listed is not equiangular? A) square D) rectangle B) equilateral triangle E) rhombus C) regular pentagon (6) If there are 5280 feet in one mile and 3600 seconds in one hour, then how feet per second is 30 miles per hour equal to? A) ft/sec B) 66 ft/sec C) 44 ft/sec D) 88 ft/sec E) 20 ft/sec (7) How many liquid ounces (oz.) are quarts? A) 100 oz. B) 96 oz. C) 72 oz. D) 50 oz. E) 25 oz. (8) Three cubic yards is equivalent to how many cubic feet? A) 27 ft 3 B) 36 ft 3 C) 75 ft 3 D) 81 ft 3 E) 432 ft 3 (9) What is the remainder when 27 5 is divided by five? A) 0 B) 1 C) 2 D) 3 E) 4 (10) A circle has an area of 12 square inches (in 2 ). If it s radius is multiplied by then the new area would be what amount? A) 144 in 2 B) 72 in 2 C) 36 in 2 D) 27 in 2 E) 18 in 2 (11) It takes Susan 3 hours to perform a certain task. It takes Ron 2 hours to perform the same task. If they both work on the task at the same time, how long will it take them to complete the task? A) hrs. B) 5 6 hr. C) 50 minutes D) 5 hrs. E) hrs. (12) Mackenzie bought a bag of apples at the grocery store. She gave half of the apples to Noah. Then she gave Wesley 3 apples, keeping 4 apples for herself. How many apples did Mackenzie buy? A) 3 B) 4 C) 7 D) 11 E) 14 (13) A sequence of numbers starts with 1, 2 and 3. The fourth number of the sequence is the sum of the previous three numbers in the sequence: = 6. In the same way, every number after the fourth is the sum of the previous three numbers. What is the eighth number in the sequence? A) 11 B) 20 C) 37 D) 68 E) 99

2 Page 2 MS Mathematics (14) A regular polygon has perimeter 108 cm and each side has length 12 cm. How many sides does this polygon have? A) 6 B) 7 C) 8 D) 9 E) 10 (15) Katie went for a walk every day last week. Each day, she walked half as far as she did the day before. If she walked 8 miles on Monday last week, how many miles did she walk on Friday last week? A) 1 4 B) 1 2 C) 1 D) 2 E) 4 (16) Chris bought two baseball bats at the same price. He also bought a helmet for $25. If he spent $68 in total, how much did one bat stick cost? A) $9.00 B) $18.00 C) $21.50 D) $41.50 E) $43.00 (17) Wesley is 15 and his sister Laura is 7. The sum of their ages is 22. In how many years will the sum of their ages be double what it is now? A) 7 B) 8 C) 11 D) 14 E) 15 (18) Liz has finished the third day of a six-day canoe trip. If she has completed 3 7 of the trip s total distance of 168 kilometers (km), how many kilometers per day must she average for the remainder of her trip? A) 24 km B) 26 km C) 27 km D) 29 km E) 32 km (19) A star is made by overlapping two identical equilateral triangles, as shown to the right. The entire star has an area of 36. What is the area of the shaded region? A) 18 B) 24 C) 27 D) 30 E) 33 (20) The café at a science museum serves pea soup every 3 days and clam chowder every 4 days. Today, the café is serving both pea soup and clam chowder. How many days will pass until the café again serves both soups on the same day? A) 3 days B) 4 days C) 7 days D) 10 days E) 12 days (21) A figure has four vertices: P(0, 0), Q(0, 5), R(7, 6) and S(6, 0). Which is the most specific classification for the figure PQRS? A) square D) rectangle B) quadrilateral E) rhombus C) parallelogram (22) Trey needs to add gallons of fluid to his bucket. He only has a 1-cup measure. How many cups should he add to his bucket to equal gallons of fluid? A) 8 cups B) 16 cups C) 18 cups D) 24 cups E) 48 cups (23) Fifteen percent of 24 is the same as five percent of what number? A) 8 B) 12 C) 18 D) 36 E) 72

3 Page 3 MS Math (24) The box-and-whisker plots below show the bushels of corn harvested, per acre, for two companies. Which identifies the company having the largest interquartile range for its crop and the correct value for that range? A) Company A, 35 bushels D) Company B, 53 bushels B) Company A, 24 bushels E) Company A, 20 bushels C) Company B, 24 bushels (25) Mackenzie wants to find the height of her school building. She stands 40 feet away from the building. A 5-foot-tall friend stands 8 feet in front of her. What is the height of Mackenzie s school building? A) 20 feet B) 25 feet C) 30 feet D) 40 feet E) 64 feet (26) Jim measured the length of his rope to be 5 yards plus 384 inches. What is the length of Jim s rope, in feet? A) 36 feet B) 37 feet C) 45 feet D) 47 feet E) 53 feet (27) A calculator that is regularly priced $20 is on sale for 40% off. What is the sale price of the calculator? A) $8.00 B) $10.00 C) $12.00 D) $15.00 E) $16.00 (28) Jane earns $36 for 3 hours of work. At that rate, how long would she have to work to earn $720? A) 140 hours B) 60 hours C) 36 hours D) 30 hours E) 12 hours (29) The distance a spring stretches varies directly with the force applied to it. If a 7-pound weight stretches a spring 24.5 inches, how far will the spring stretch if a 12-pound weight is applied? A) 42 in. B) 46 in. C) in. D) 147 in. E) 294 in. (30) Genny s car gets an average of 28 miles per gallon of gas. She plans to drive 200 miles today and 220 miles tomorrow. How many gallons of gas should she expect to use in all? A) 14 gallons B) 15 gallons C) 28 gallons D) 56 gallons E) 67 gallons (31) How many 2-digit whole numbers less than 40 are divisible by the product of its digits? A) 5 B) 4 C) 3 D) 2 E) None of these

4 Page 4 MS Math (32) A florist has 72 roses, 90 tulips and 60 daffodils, and uses all of them to make as many identical bouquets as possible. How many flowers does the florist put in each bouquet? A) 37 B) 29 C) 24 D) 18 E) 6 (33) Twenty-six people are seated in a circle, and are lettered alphabetically from A to Z. Beginning with Person A, and proceeding in a clockwise direction, each alternate person leaves the circle. What is the letter of the last person to leave? A) B B) H C) L D) D E) T (34) Five times the sum of a number and three is eight more than four times the number increased by four. What is the number? A) 3 B) 4 C) 6 D) 9 E) 12 (35) What acute angle do the hour hand and minute hand of an analog clock form at 9:40 pm? A) 20 B) 25 C) 30 D) 50 E) 60 (36) A brass statue weighs 4 pounds (lbs.). A large-scale model, with scale ratio of 5:2, will weigh how many pounds? A) 5 lbs. B) 25 lbs. C) 37 1 lbs. 2 D) 50 lbs. E) 62 1 lbs. 2 (37) Wes worked 49 hours last week. He earns $6.50 per hour for the first 40 hours and times as much for the remaining hours. What should be his total earnings for the week? A) $ B) $ C) $ D) $ E) $ (38) What is the solution for 11 3x < 4? A) x > -5 B) x < -5 C) x > D) x < E) x < 1 3 (39) Mary rolls a dice with sides 1, 2, 3, 4, 5, and 6. What is the probability of not rolling a 3? 1 A) B) 1 C) 1 D) 1 E) (40) Three vertices of a rectangle are at (1, 2), (5, 2), and (5, 1). What are the coordinates of the fourth vertex? A) ( 1, 1) B) (1, 1) C) (1, 5) D) (2, 1) E) ( 2, 1) (41) Noah spins the spinner, shown to the right, two times. What is the probability of the arrow landing on red both times? A) 9 64 B) C) D) 5 8 E) (42) After running 25% of a race, Genny had run 50 meters. How long was the race, in meters? A) 100 meters B) 125 meters C) 200 meters D) 400 meters E) 1250 meters 5 6

5 Page 5 MS Math (43) Tony is 6 years older than Jack. Jack is 3 years younger than Doug. If Tony is 19 years old, how old is Doug? A) 10 years B) 15 years C) 16 years D) 17 years E) 18 years (44) A perfect number is an integer that is equal to the sum of all of its positive divisors, except itself. For example, 28 is a perfect number because 28 = Which of the following is a perfect number? A) 6 B) 8 C) 9 D) 10 E) 13 (45) Susie s clock loses 15 minutes every hour. The clock is set at the correct time at 9:00 AM. What is the correct time when Susie s clock first shows 11:00 AM? A) 11:15 AM B) 11:25 AM C) 11:30 AM D) 11:40 AM E) 11:45 AM (46) Twenty-two 8 th grade students chartered a bus for their trip to Galveston Beach. Just before they left 10 more students decided to go. This resulted in each of the original 22 students getting $15 back. What was the charge for the use of the bus? A) $1726 B) $1056 C) $984 D) $704 E) $480 (47) Jose takes a square piece of paper and folds it in half. He then folds that half into thirds and then that small piece in thirds again. The area of the small piece of paper in front of him now is the original piece. A) 1 6 B) 1 18 C) 1 9 (48) A storage room is in the shape of a rectangular solid. The area of the floor is 108 square feet and the volume of the room is 1296 cubic feet. How tall is the room? A) 6 feet B) 8 feet C) 10 feet D) 12 feet E) 16 feet (49) A square is cut in half on the diagonal, creating two equal triangles. Each triangle has an area of 0.32 square units. What is the side length, in units, of the original square? A) 0.64 units B) 0.56 units C) 0.28 units D) 0.16 units E) 0.8 units (50) Andy picks 180 apples in 4 days. Albert picks 210 apples in 3 days. With each person picking at his same rate of speed, what is the total number of apples Andy and Albert pick in one day? A) 45 apples B) 56 apples C) 60 apples D) 70 apples E) 115 apples D) 1 12 E) 1 8

6 2017 Houston ISD Middle School Mathematics Test A Contest Answer Key (1) A (2) E (3) E (2 2 ) 3 (4) B (5) E (6) C (7) A (8) D (9) C (10) D (11) A (12) E (13) D (14) D (15) B (16) C (17) C (18) E (19) C (20) E (21) B (22) D (23) E (24) C (25) B (26) D (27) C (28) B (29) A (30) B (31) A (32) A (33) E (34) D (35) D (36) E (37) B (38) C (39) E (40) B (41) C (42) C (43) C (44) A (45) D (46) B (47) B (48) D (49) E (50) E

2018 TAME Middle School Practice State Mathematics Test

2018 TAME Middle School Practice State Mathematics Test (1) Noah bowled five games. He predicts the score of the next game he bowls will be 120. Which list most likely shows the scores of Kent s first