FSA 7 th Grade Math. MAFS.7.G.1.1 Level 2. MAFS.7.G.1.1 Level 3. MAFS.7.G.1.1 Level 3. MAFS.7.G.1.2 Level 2. MAFS.7.G.1.1 Level 4

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1 FSA 7 th Grade Math Geometry This drawing shows a lawn in the shape of a trapezoid. The height of the trapezoidal lawn on the drawing is 1! inches. " What is the actual length, in feet, of the longest side of the lawn? Field FSA Practice Test Question The scale drawing above shows a rectangular football field. A centimeter ruler is shown with the drawing. The scale is 0.5 cm = 20 m. Part A) What would be the area of the actual field? Part B) On your paper, create a scale drawing for the same field, but use a different scale of 0.25 cm = 5 m. Show and explain your work. The figure shows a scale drawing of a triangular deck. On the second grid, create a new and different scale drawing of the triangular deck. Include the scale that was used and label the new dimensions of the triangle. Use a ruler, protractor, manipulatives, or technology to draw the following polygons. a) An isosceles triangle with only one angle measuring 50 b) A quadrilateral with one pair of parallel sides and two right angle c) A triangle with 3 acute angles and 3 lines of symmetry d) A quadrilateral with four congruent sides and no right angles

2 FSA Practice Test Question Look at each set of conditions. Do the conditions given describe a unique triangle, more than one triangle, or no triangle? Select Unique, Many or None for each description. A. Side lengths 3 cm, 6 cm, 7 cm Unique Many None B. Angle measures 30, 60, 90 Unique Many None C. Two angle measures 85 and 110 and side length of 2 inches Unique Many None D. Side lengths 5 cm, 5 cm, 5 cm Unique Many None E. Side lengths 5 in. and 12 in. with one 90 angle Unique Many None Part A) If possible to draw a triangle with two angles measuring 45 and 90. Can you make a different triangle with the same angle measures? Explain your answer. Part B) If possible draw a triangle with two angles measuring 45 and 90 and a side length of 6 inches. Can you make a different triangle with the same angle measures and side length? Explain your answer. Part C) If possible draw a triangle with side lengths of 1 inches, 2 inches and 4inches. Can you make a different triangle with the same side lengths? Explain your answer. Level 5 Triangle A contains one 30 angle and two sides measuring 6 centimeters each. Triangle B contains one 100 angle and two sides measuring 1 inch. Part A) How many triangles can be formed, if any, for triangle A? Justify with a drawing. Part B) How many triangles can be formed, if any, for triangle B? Justify with a drawing. Circle the words that describe the cross section of the rectangular pyramid. The cross section is a: Rectangle Square Trapezoid Triangle The pentagonal pyramid below will be cut by a plane that is parallel to its base. What will be the shape of the cross-section? A. triangle B. rectangle C. pentagon D. circle

3 Chef David is making a custom cake, shaped like a cylinder as shown..fsa Practice Test Question Part A: The first cut he makes is parallel to the base of the cake. What is the shape of the cross section? Explain how you know. Part B: The second cut he makes perpendicular to the base of the cake. What is the shape of the cross section? Explain how you know. Which choice represents the formula for a area (A) and circumference (C) of a circle? r stands for radius and d stands for diameter. a) A = d 2 π C = 2rπ b) A = r 2 π C = 2dπ c) A= rπ C = dπ d) A= r 2 π C = dπ Jordan has a circular flower bed that is 18 feet in diameter in her yard. Approximately how many square feet of her yard is covered by the flower bed? If she decides to place a fence around the flower bed, how many feet of fencing will she need to purchase? Roscoe traced around the bottom of a can to draw a circle. Tell whether each statement about Roscoe s circle is True or False. Use 3.14 for π. a. If the circle has a circumference of 6π inches, then it has a diameter of 3 inches. True False b. If the circle has a diameter of 2 inches, then it has a circumference of 6.28 inches. True False c. If the circle has a circumference of 2π inches, then it has an area of π square inches. True False d. If the circle has a circumference of π inches, then it has an area of 0.5π square inches. True False e. If the circle has a radius of 1.5 inches, then it has an area of square inches. True False FSA Practice Test Question

4 Level 5 Mr. McCoy is planning to install a circular pool. The circumference of the pool is 25 feet. Use π = Part A: What is the approximate diameter of the pool? Show your work. Part B: What is the approximate area of the pool? Show your work. Level 5 A circular coaster, with a diameter of 7 inches, is positioned on a white placemat. The placemat is a circle whose radius is equal to the diameter of the coaster. About how many square inches of the placemat are not covered by the coaster? What is the difference of the circumference of the coaster to the circumference of the placemat? Find the value of x. Find the value of x. Find the value of x. Find the value of x.

5 Find the value of x. Rectangle MNPQ is shown below. Angle MQP is divided by diagonal QN. Write an equation and find the measure of angle y. a) 0.5y = y; y = 9 b) 0.5y y = 180; y = 118 c) 0.5y y = 90; y = 57 d) y + 0.5y = 90; y = 171 FSA Practice Test Question <ROP forms a right angle. Find the measure of <ROQ. Find the measure of <SOT. What is the volume, in cubic inches, of the rectangular prism below? A. 504 B. 720 C. 1,864 D. 5,184 **V = Bh Find the area of this trapezoid. A. 240 cm 2 B. 288 cm 2 C. 312 cm 2 D. 336 cm 2

6 Jacob drew the following composite figure. What is the area of this composite figure? Adrian has two aquariums for his fish. Below is the picture of the two aquariums. Which statements about the aquariums of the blocks are true? A) The triangular prism holds more than the rectangular prism. B) If the front edge of the triangular prism is increased by 1 inch, it will hold more than the rectangular prism. C) If the height of the rectangular prism is decreased by 1 inch, it will hold less than the triangular prism. D) If the front base edge of the rectangular prism is decreased by 1 inch, it will hold more than the triangular prism. E) If the height of the triangular prism is decreased to match the height of the rectangular prism, the two prism will hold the same amount. FSA Practice Test Question A carpenter has built the set of steps shown. Before she sets them up against a house by the front door, she will paint all except the bottom base and back face of the steps. How many square inches will she paint? Show your work. Level 5 John received a present of building blocks for his birthday. One of the blocks is a pentagonal prism. The information on the package states the volume of the prism is 91.8 cubic inches. If the height of the prism is 10.8 inches, what is the area of each base? KEY : 216 feet : Dimensions are 40m by 120m so area is 4800 meters squared. New scale will be 2cm by 6cm. : : Answers will vary. Possible answer scale is 1unit to1/2unit so the new dimensions are 6 by 4.5.

7 : a) triangle with b) c) d) Level 5: a) : b) : a) Unique b) Many c) None d) Unique d) Many : a) many triangles can be formed given two angle measures b) only one triangle can be formed c) no triangle can be formed from the given lengths : Triangle : C : Part A circle Sample response: The first cut is parallel to the base. The base of the cylinder-shaped cake is a circle, so the shape of the cross section formed will also be a circle. It will be congruent to the base. Part B Rectangle Sample response: The second cut is perpendicular so the cross section is a rectangle. : : d : ft sq and ft : a. False b. True c. True d. False e. True : : Level 5: Part A approximately 7.96 feet; Part B approximately square feet; Level 5: in in

8 : 105 : 52.5 : 26 : 135 : 84.6 : 57 : : Part A) 31 Part B) 31 : D : B : 978 square inches : B,C : : 1,780 in 2 Level 5: 8.5 in 2

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