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Curriculum Research CommitteeMeasurement Assessment for Grade 6The diagrams in this assessment are not drawn to scale.Include appropriate units with every answer on this assessment.1.Which is the best estimate for the area of the floor of a typical classroom for 25 students? Show or explain your answer.a) 700 feet b) 700 square feet c) 700 cubic feet d) 700 yards e) 700 square yardsAnswer:62.5% ; Explanation: 12% 2.a. What is the area of the playground below? Show or explain your answer.Answer:12% ; Units: 33% ; Explanation: 26% b. What is the perimeter of the playground? Show or explain your answer.Answer:15% ; Units: 50% ; Explanation: 40% c. One bag of grass seed covers 500 square feet. How many bags of grass seed must you buy to cover the playground? Show or explain your answer.Answer:10% ; Units: 50% ; Explanation: 29% Playground3.The base of a rectangle is 16 cm. The perimeter of the rectangle is 40 cm. What is the area of the rectangle? Show or explain your answer.Answer:24% ; Units: 20% ; Explanation: 23% 4The figure below is made up of five congruent squares. The perimeter of the figure is 120 cm. What is the area of the figure in sq. cm?Show or explain your answer.a) 5 sq cmb) 50 sq cmc) 24 sq cm d) 500 sq cm e) 600 sq cmAnswer:24% ; Units: 22% ; Explanation: 33% 5.Jo has three squares. Each square has side length 4 inches. Ana has one square with side length 1 foot. Compute the sum of the areas of Jo’s squares. Show or explain your answer. Answer:31% ; Units: 21% ; Explanation: 32% Compute the area of Ana’s square. Show or explain your answer.Answer: 33% ; Units: 21% ; Explanation: 25% Which is larger? Show or explain your answer.Answer:27%; Explanation: 10% A B6.A square contains two smaller squares, A and B, with areas of 16 square meters and 9 square meters as shown. What is the number of meters in the perimeter of the shaded region? Show or explain your answer.Answer:4% ; Units: 16% ; Explanation: 7% Over 900 6th grade students tested.Mean score: 9.2/38; Median 7/38Mean score on units: 0.3/8Units and Dimensional AnalysisLength is measured in units: inches, feet, yards, miles, meters, etc.Area is measured in square units: square inches, square feet, square yards, square miles, etcVolume is measured in cubic units: cubic inches, cubic feet, cubic yards, etc1. There are 3 feet in one yard.1 foot 1 yard = 3 feetHow many square feet in a square yard?1 square foot1 square yard or 9 square feetHow many cubic feet in a cubic yard?1 cubic foot1 cubic yard or 27 cubic feet2. If there are 12 inches in one foot, how many square inches in a square foot; how many cubic inches in a cubic foot?3. I have a box with dimensions L, W, and H. My friend has a box with dimensions two times as big as my box. I filled my box with sand, wrapped it in paper, and tied it with string. How many times as much sand, paper, and string will be needed for my friend’s box? Justify your answers.Sand:Paper:String:Perimeter Problems (Problem source: MOEMS)3m6m5m7m1.What is the perimeter in meters of the figure shown? All angles are right angles.ABCDEFG25 cm2.ABCD is a square. DEFG is a rectangle. The length of EF is 25 cm. D is the midpoint of CE. The perimeter of the entire shaded region is 180 cm. Find the length of AG, in cm.DCAB3.Lee walks along the edges of a rectangular pool (shown) from point A to B to C to D, a distance of 38 meters. Marina walks along the edges of the same pool from B to C to D to A, a distance of 31 meters. What is the perimeter of the pool, in meters?4.The figure is made up of five congruent squares. The perimeter of the figure is 72 inches. Find the area of the figure, in sq cm?255.A rectangle has a perimeter of 90 cm. The length of the rectangle is 25 cm more than its width. Find the area of the rectangle, in sq cm.ABCDArea Problems (Problem source: MOEMS)1.Square ABCD is composed of nine congruent squares as shown. The area of the shaded region is 14 square centimeters. What is the area of square ABCD, in sq cm?51073862The area of the rectangle is 36 sq cm. The lengths of the sides are whole numbers of centimeters. What is the greatest perimeter of the rectangle can have, in cm?3.As shown, the length of each segment in the overlapping rectangles is given, in cm. Find the sum of the areas of the shaded regions, in sq cm.6 sq cm10 sq cm9 sq cmACGE4A rectangle is divided up into four smaller rectangles. The length of each segment is a whole number of cm. the areas of three of the rectangles are given in the diagram. Find the number of sq cm in the total area of rectangle ACEG. 255.A rectangle has a perimeter of 90 cm. The length of the rectangle is 25 cm more than its width. Find the area of the rectangle, in sq cm. ................
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