WorksheetsSENIOR PREPARATORY MATHS
Total questions: 42
Worksheet time: 21mins
Daniel rides his bicycle 21 km west and then 18 km north. How far is he from his starting point?
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A rectangle is put together by two triangles. The hypotenuse is 11 cm and width of 8 cm. Find the height of the triangle.
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Find the hypotenuse of a triangle that has a 13 cm leg and a height of 7 cm.
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In a right-triangle shaped house, the roof is 51 feet long and the base of the house is 29 feet across. Calculate the height of the house.
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John is trying to determine the length of the staircase he will need for a deck that is 12 feet high. He wants to start the stairs 21 feet from the deck.
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A triangle shaped paper’s height is 18 cm and width is 10 cm. Find the hypotenuse of the paper.
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Find the hypotenuse of a triangle that has an 8 cm width and a height of 12 cm.
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The bottom of a ladder must be placed 5 feet from a building. The ladder is 14 feet long. How far above the ground does the ladder touch the wall?
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Find the width of a triangle that has a 15 cm height and a hypotenuse of 19 cm.
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To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34 meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to walk through the pond?
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A baseball diamond is a square with sides of 90 feet. What is the shortest distance, to the nearest tenth of a foot, between first base and third base?
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A suitcase measures 24 inches long and 18 inches high. What is the diagonal length of the suitcase to the nearest tenth of a foot?
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In a computer catalog, a computer monitor is listed as being 19 inches. This distance is the diagonal distance across the screen. If the screen measures 10 inches in height, what is the actual width of the screen to the nearest inch?
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The older floppy diskettes measured 5 and 1/4 inches on each side. What was the diagonal length of the diskette to the nearest tenth of an inch?
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Ms. Spires tells you that a right triangle has a hypotenuse of 13 and a leg of 5. She asks you to find the other leg of the triangle. What is your answer?
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Two joggers run 8 miles north and then 5 miles west. What is the shortest distance, to the nearest tenth of a mile, they must travel to return to their starting point?
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Mr. Smith tells you that a right triangle has a hypotenuse of 17 and a leg of 15. He asks you to find the other leg of the triangle. What is your answer?
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Oscar's dog house is shaped like a tent. The slanted sides are both 5 feet long and the bottom of the house is 6 feet across. What is the height of his dog house, in feet, at its tallest point?
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Seth made a small rectangular table for his workroom. The sides of the table are 36" and 18". If the diagonal of the table measures 43", is the table square? A table which is "square" has right angles at the corners.
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Sara made a small rectangular box for her garden. The sides of the box are 20" and 21". If
the diagonal of the table measures 29", is the box square? A box which is "square" has right
angles at the corners.
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The hypotenuse of a right triangle is 20 meters and one leg is 16 meters. Find the length of the other leg.
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The diagonal of a 27-inch television measures 27 inches. If the width of the TV is 22 inches, calculate the height to the nearest tenth.
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Mindy and Christine started from the same point. Christine traveled west at a rate of 30 mph. Mindy traveled north at a rate of 40 mph. How far apart were they at the end of one hour?
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Carisa is making a treasure map. The path from the starting point to the treasure is 28 paces forwards then 21 paces to the left. How many paces would it be to go directly from the starting point to the treasure?
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The city of Lakeview is 41 miles north and the city of Avon is 19 miles west. How far apart are the two cities rounded to the nearest tenth?
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A ladder is leaning against a building. The bottom of the ladder is 6 feet from the building. The top of the ladder reaches the wall at a height of 8 feet. How long is the ladder?
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A ladder is leaning against a building at 13 feet. The bottom of the ladder is 4 feet from the building. What is the height of the building?
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A kite is flying at the end of a 300-foot string. It is 120 feet above the ground. About how far away horizontally is the person holding the string from the kite?
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The hypotenuse of a right triangle is 15 inches, and one of the legs is 11 inches. Find the length of the other leg.
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A ship is 24 miles east of port. How far north must the ship travel to reach a point that is 30 miles from port?
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A bear is spotted 60 yards from a camp. If the bear travels 20 yards south, how far is the bear from camp?
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A spider is locating a fly in her web. If the spider is 2 feet north and the fly is 3 feet east, how far apart is the spider and fly?
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The diagonal distance covered by a flight of stairs is 21 ft. If the stairs cover 10 ft horizontally, how tall are they?
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Mr. Patel is buying a new television. He wants to figure out the biggest size television he can get. His cabinet has an opening that is 30 inches tall and 40 inches wide. What is the largest diagonal length of a television Mr. Patel can buy?
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A boy is standing 25 m from a kite. The kite is 30 m above the ground. How long is the kite string?
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A leg of a right triangle is 30 meters long, and the hypotenuse is 33 meters long. What is the length of the other leg?
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A soccer field is a rectangle 90 meters wide and 120 meters long. The coach asks players to run from one corner to the corner diagonally across. What is this distance?
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Donna's TV screen is 20 inches long. If the diagonal measures 25 inches, how long is the width of Donna's TV?
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The bottom of a ladder must be placed 3 ft. from a wall. The ladder is 12 feet long. How far above the ground does the ladder touch the wall?
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John leaves school to go home. He walks 10 blocks North and then 13 blocks west. How far is John from the school?
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Daniel rides his bicycle 21 km west and then 18 km north. How far is he from his starting point?
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