Grade 6: Geometry and Algebra. 1. Choose an appropriate customary unit for measuring the area of a classroom. B. Square Feet D.

Transcription

1 6.8.1 Name Grade 6: Geometry and Algebra 1. Choose an appropriate customary unit for measuring the area of a classroom. A. Cubic Feet C. Square Inches B. Square Feet D. Square Acres 2. What is the measure of the angle represented by the dark line? 3. Give the missing value in the table. 4. What is the value of the expression 23p when p = 8?

2 Solve. 4y + 7 = 27. y = 6. The shaded square is flipped from Quadrant I to Quadrant II. At approximately what point in Quadrant II is vertice A? 7. Slide DEFG 2 units right and 3 units down. Draw the new figure. D G E F

3 6.8.2 Name Grade 6: Geometry and Algebra 1. How many pounds are in a ton? 2. Estimate the measure of the angle A. Is it acute, obtuse, straight, or right? A 3. Celeste is following the pattern 2x - 2 = y. Which table shows the numbers in that pattern? Show your work. A. B. C. D. 4. Evaluate the expression 2x + 3 if x = 4.

4 Solve for x: 3x + 12 = 39. Show your work. x= 6. Rectangle PQRS is shown on the graph. If Rectangle PQRS is rotated 180 degrees into quadrant 3 and point S is stationary, what are the new coordinates of Point R? x 7. Plot point P at (1,-1). Plot and label point R two units left and 1 unit up. What are the coordinates of the point R?

5 Name Grade 6: Geometry and Algebra 1. Choose an appropriate customary unit for estimating the length of a button. A. yard C. mile B. foot D. inch 2. What is the measure of the angle? What kind of an angle is it? 3. Which table best represents the solution for the equation x + 2 = y? A. B. C. D. 4. Evaluate 3b 40 when b = 16.

6 5. Solve. 2p + 17 = 24. p = Was this triangle rotated a full turn or a half turn? Explain your reasoning. 7. Y Plot point P (-1,-2) Reflect P across the x axis. Plot the point & label it R. What are the coordinates of point R? X

7 6.8.4 Name Grade 6: Geometry and Algebra 1. Choose an appropriate metric unit for measuring the area of a classroom. A. square millimeters C. square meters B. cubic millimeters D. square kilometers 2. Determine the approximate length of this paper clip to the nearest millimeter. 3. Which graph best represents the data from the following table? A. B. C. D.

8 times d best matches which expression? A. 32/d B. 32d C. d/32 D. 32-d 5. When a number is subtracted from 5, the result is 3. What is the number? 6. y x Plot and label L = ( 2,1 ) M = ( 3,3 ) N = ( 4,1 ) LMN

9 Name Grade 6: Geometry and Algebra 1. What is the closest measure of angle x? What type of angle is it? 2. Which table best represents the equation 2 + x? A. B. C. D. 3. What is the value of the expression 37 + x when x = 28? 4. Solve for s: 3s + 11 = 32. s =

10 Quadrilateral ABCD is shown on this graph. If Quadrilateral ABCD is rotated 90 from Quadrant I to Quadrant IV, and poin5 D is stationary what are the new coordinates of point A? 6. Quadrilateral ABCD is shown on the first graph. Which graph, A or B, shows a slide of quadrilateral ABCD? A. B.

11 Name Grade 6: Measurement 1. Write this number, 4,036,320, in word form. 2. Whitney is buying a large piece of fabric to make some curtains. The dimensions of the fabric are 36 inches by 24 inches. What is the area of her fabric? A. 60 in. 2 B. 288 in. 2 C. 216 in. 2 C. 864 in How many ounces are in a pound? 4. Estimate the measure of the outside angle.

12 5. Alex left his piano lesson at 11:05 AM. He arrived back home at 2:10 PM. How long did it take him to return home? Show your work. 6. Given the formula A = 1/2bh, find the area of a triangle whose height is 8 ft. and whose base is 12 ft. Answer: 7. Find the surface area of this right rectangular prism. Show your work.

13 Name Grade 6: Measurement 1. Which of these is a prime number? A. 74 B. 55 C. 37 D Find the volume of this object, when a = 7, b = 3, and c = How many ounces are in one cup? 4. Estimate the measure of angle B. B

14 5. Adrian worked from 6:33 AM until 3:56 PM. How long did he work? Show your work. 6. Given the formula A = bh, find the area of a parallelogram whose base is 3 meters, and whose height is 2 meters. 7. Find the surface area of a cube. The measure of a side of this cube is 3. Explain how you get your answer.

15 Name Grade 6: Measurement 1. Which of these is neither composite nor prime? A. 297 B. 0 C. 8 D The area of this rectangle is 45 square inches. If the dimensions of this rectangle were doubled, what would be the area of the new rectangle? 3. Which measure below is closest to a meter? A. Yard C. Inch B. Mile D. Foot 4. What is the closest measure of the unknown angle x? A. 60 B. 45 C. 160 D. 115

16 5. Mark and Brad left for Phoenix at 5:33 AM and arrived at 4:56 PM. How long did their trip take? 6. What is the area of this parallelogram? 7. Find the surface area of this rectangular solid. a = 9, b = 2.5, and c = 2.5.

17 Name Grade 6: Measurement 1. Circle the composite numbers. 0, 1, 7, 9, 11, 13, 15, 19, 21, Calculate the volume of this object cups is closest in size to a: A. liter B. gram C. meter D. pint 4. What is the closest measure of angle x? A. 45 B. 20 C. 180 D. 120

18 5. Terry left the house at 11:24 AM. He arrived at his friends at 12:12 pm. How long did it take him to get to his friend s house? 6. Given the formula A = 1/2bh, find the area of a triangle whose height is 5 ft. and whose base is 8 ft. 7. Calculate the surface area of this rectangular prism. A. 136 square feet B. 104 square feet C. 142 square feet D. 104 cubic feet

19 Name Grade 6: Measurement 1. Write 17,632 in scientific notation. 2. Calculate the volume of this cube. 3cm 3cm 3. How many cups are in a 32 oz. drink? 4. What is the closest measure of angle x? A. 46 B. 85 C. 120 D. 175

20 5. The recipe said to cook the potatoes on 425 for 15 minutes. Then cook them for 60 min at 375. If Fran put the potatoes in the oven at 11:57 AM when will they be done? Show your work. 6. Given the formula A = 1/2bh, find the area of a triangle whose height is 9m and whose base is 12m. 7. How much wrapping paper would you need to cover a package that measures 5 x 10 x 3?

21 Name 1. What percent is shaded? Grade 6: Measurement 2. Calculate the volume of this object Which measure is comparable to a liter? A. Pint C. Gallon B. Cup D. Quart 4. Estimate the measure of angle H. A. 60 C. 180 H B. 120 D. 90

22 5. Which ruler would give the most precise measure? A. A ruler divided into 1/16s and millimeters B. A ruler divided into 1/4s C. A ruler divided into 1/2s D. A ruler divided into inches 6. Given the formula A = bh, find the area of a parallelogram whose base is 24 ft., and whose height is 9 ft. A. 33 square feet B. 33 cubic feet C. 235 square feet D. 216 square feet 7. A file cabinet is 5 ft. high, 1 ft. wide and 2.3 ft. deep. What is the volume of the file cabinet? Show your work.

23 Name Grade 6: Measurement 1. Round to the given place. Thousands Tenths 4,632, , Find the surface area of the rectangular box. 6 ft. 2 ft. 1 ft. 3. One third of a meter stick is closest in size to: A. one inch B. four inches C. eight inches D. twelve inches 4. Estimate the measure of angle A. A

24 5. Sue is painting her wall a new color and wants to buy enough paint to cover the whole surface. The dimensions of the wall are 9.4 ft. by 9.4 ft. What is the area of the wall to be painted? (A = l x w) Show your work. 6. You tore open a cereal box and laid it flat. Using the information given, find the total surface area of the box

25 Name 1. Solve: Grade 6: Measurement 2. How many vertices, edges and faces does the following rectangular prism have? Vertices: Edges: Faces: 3. Which measure below is nearest to a kilometer? A. Yard B. Inch C. Mile D. Foot 4. What is the measure of a straight angle? C D

26 5. Which of the following is the heaviest? A. 7 g B. 7 dg C. 7 kg D. 7 hg 6. Given the formula A = ½ bh find the area of the following triangle. Show your work Place a dot in Quadrants 1 and 3. Tell the coordinates. I III

27 Name 1. Solve: ( - 7) = Grade 6: Measurement 2. Circle the longer or larger amount in each set. A. meter / yard B. liter / quart C. kilometer / mile 3. Which angle is an obtuse angle? Find the area of triangle #2. Show your work. ( A ½ bh ) 9.2 #1 #2 12.3

28 5. Place a dot in Quadrant II and IV. Label them and tell their coordinates. II IV

29 Name Grade 6: Measurement 1. List the order of operations What is the volume of this solid? 3. One liter is equal to quarts. Which is a larger amount, a liter or a quart? 4. Which angle is an acute angle? A C B

30 5. Which measure is comparable to a liter? A. pint B. cup C. quart D. gallon 6. Use the data given to find the area of triangle #2. Show your work. 7.4 #2 # Find the Circumference (C = πd). Show your work. 7 in.

31 Name Grade 6: Measurement 1. Write 80% as a decimal and as a fraction in lowest terms. 2. Find the volume: 5.4 cm 6.2 cm 5.1 cm 3. A mile equals 1.61 kilometers. Which is longer, a mile or a kilometer? If you hiked 3 miles, how many kilometers would you have hiked? 4. What is the measure of a straight angle?

32 5. Using the formula A = bh, find the area of the parallelogram below. Show your work Write the decimal and percent for each fraction. A. 6 3 = = C. = = 10 4 B. 2 3 = = D. = = 5 6