Math Materials covered for Grade 6 Semester 2 exam

Module 8 (percentage

8.1 – understanding percentage 8.2 – Percentage, Fraction and decimal 8.3 – solving percentage problems

Module 9 (Generating equivalent Numerical Expressions)

9.1 – exponents 9.2 – prime factorization 9.3 – order of operation

Module 10 (Generating equivalent Algebraic Expressions)

10.1 – writing algebraic expressions 10.2 – Evaluating algebraic expressions 10.3 – generating equivalent expressions

Module 12 (Generating equivalent Algebraic Expressions)

12.1 – graphing on the coordinate plane 12.3 – writing equation from a table 12.4 – representing algebraic expressions from table and graph

Module 13 (Area of polygons)

13.1 – area of quadrilaterals 13.2 – area of triangles 13.3 – solving area equations 13.4 – area of polygons

Module 15 (Surface Area and Volumes of Solids)

15.1 – nets and surface area 15.2 – Volume of rectangular prisms 15.3 – solving volume equations

semester 2 grade 6 revision pack

Multiple Choice Identify the choice that best completes the statement or answers the question.

____ 1. What is the value of ?

a. 8 c. 39 b. 35 d. 42

____ 2. Which exponential expression equals ? a. b. c. d.

____ 3. Evaluate when a. 33 c. 125 b. 111 d. 132

____ 4. Evaluate for y = 6 and z = 3.

a.

c. 95

b. 612 d. 29

____ 5. The side length of an equilateral triangle is . Which expression represents the perimeter of the triangle? a. c. b. d.

____ 6. The side length of an equilateral triangle is . Which expression represents the perimeter of the triangle? a. c. b. d.

____ 7. Which expression is equal to “a number decreased by 7”? a. c. b. d.

____ 8. Write the phrase “z divided by 2” as a numerical or algebraic expression. a. c. b. d.

____ 9. Which expression matches the phrase “12 divided by ”? a. b.

____ 10. Evaluate for and . a. 2 c. 16 b. 8 d. 24

____ 11. Which statement below could be represented by the expression ?

a. less than 7 b. 7 times c. more than 7 d. 7 less than

____ 12. Marcus and Judy are picking apples. At the end of the day, Marcus has apples. Judy has 5 times as many apples as Marcus. How many apples does Judy have in terms of ?

a. b. c.

d.

____ 13. Which expression is a quotient? a. b.

c. d.

____ 14. In what order should the operations be performed to evaluate at ? a. First, multiply 6 by 3. Then, square the result. Finally, subtract 2 from the result. b. First, find . Then, subtract 2 from the result. Finally, multiply the result by 6. c. First, find . Then, multiply the result by 6. Finally, subtract 2 from the result. d. First, multiply 6 by 3. Then, subtract 2 from the result. Finally, square the result.

____ 15. What is the value of the expression at ?

a. b. c. 2 d. 24

____ 16. The area of a triangle is given by the formula . What is the area of the triangle if and

? a. 2 b. 2.5 c. 4.5 d. 10

____ 17. Simplify . a. c. b. d.

____ 18. Combine like terms .

a. c. b. d.

____ 19. Which statement illustrates the Distributive Property? a. c. b. d.

____ 20. Which of the following has a solution of 9? a. c. b. d.

____ 21. For which equation is the solution? a. b.

____ 22. Which is a solution to the equation ? a. c. b. d.

____ 23. Which equation is true given ? a. c. b. d.

____ 24. Which is a solution to the equation ? a. c. b. d.

____ 25. Solve . a. c. b. d.

____ 26. Solve .

a.

c.

b.

d.

____ 27. Solve . a. c. b. d.

____ 28. Determine whether the ordered pair (4, 55) is a solution to the equation . a. (4, 55) is not a solution. b. (4, 55) is a solution.

____ 29. Which ordered pair is a solution of the equation ? a. (1, 3) c. (3, 1) b. (3, 2) d. (2, 5)

____ 30. Which ordered pair is a solution of the equation ?

a. c.

b. d.

____ 31. Which ordered pair is a solution to the equation ? a. (0, 0) c. (2, 10) b. d. (15, 39)

____ 32. Which number would complete the function table?

a. b. 0

____ 33. Which equation is satisfied by the ordered pair (8, 7)? a.

c.

b.

d.

____ 34. Which ordered pair is a solution of the equation ? a. c. b. d.

____ 35. A rectangle has a length of 9 cm and a width of 5 cm. What is its area? a. b.

____ 36. A rectangle has a length of 8 cm and a width of 11 cm. What is its area? a. 19 cm c. 88 cm b. d.

____ 37. A triangle has a base of 4 cm and a height of 3 cm. What is its area? a. b.

____ 38. A triangle has a base of 6 cm and a height of 7 cm. What is its area? a. 13 cm c. b. d.

____ 39. What is the area of the trapezoid?

a. b.

____ 40. Tina wants to install a hot tub in her backyard. The backyard is 15 ft by 40 ft, and the hot tub will be 7 ft by 7 ft. What is the area of the backyard that will not be covered by the hot tub? a. 82 c. 41

b. 551 d. 438

____ 41. What is the area of the triangle in the figure below?

10 mm

4 mm

8 mm12 mm

6 mm

12 mm

a. b. c. d.

____ 42. A driveway is 81 feet long, 12 feet wide, and 6 inches deep. How many cubic feet of concrete will be required for the driveway?

a. 458 b. 486 c. 423 d. 5832

____ 43. What is the volume of the rectangular prism?

5 in.

1012 in.

234 in.

a.

b.

c.

d.

____ 44. Mr. Carter's class made solid shapes from nets. They cut out each of the nets. Then they folded them on the lines and taped them to form solids. Jack made a pyramid. Find the net that he used.

a. c.

b. d.

____ 45. Which ordered pair corresponds to the point exactly between the two points on the coordinate grid?

a. c. b. d.

____ 46. Identify the quadrant of point .

a. Quadrant I c. Quadrant III b. Quadrant II d. Quadrant IV

____ 47. Which quadrant contains point ?

a. Quadrant I c. Quadrant III b. Quadrant II d. Quadrant IV

____ 48. Graph the rectangle with vertices A(–2, –3), B(–2, 2), C(1, 2), and D(1, –3).

a.

c.

b. d.

____ 49. Identify the quadrant in which each point has an -coordinate that is positive and a -coordinate that is negative. a. Quadrant I c. Quadrant III b. Quadrant II d. Quadrant IV

____ 50. What are the coordinates of point ?

a. c. b. d.

____ 51. What are the coordinates of the point 3 units from the origin and on the x-axis? a. c. b. d.

____ 52. Which points share the same -coordinate?

a. and c. and b. and d. and

____ 53. Identify the point on the number line.

0 1 2 3 4 50–1–2–3–4–5

a. b. c. 3.5 d. 4

____ 54. The table shows the price of different numbers of magazines. Predict the cost of 5 magazines. Magazines 1 2 3 4 Cost $4.00 $8.00 $12.00 $16.00 a. $14.00 b. $20.00

____ 55. The table shows the price of different numbers of apples. Predict the cost of 3 apples. Apples 2 4 6 8 Cost $0.80 $1.60 $2.40 $3.20 a. $0.40 c. $12 b. $1.20 d. $120

____ 56. Find 30% of 70. a. 2100 c. 233.33 b. 21 d. 16.6

____ 57. Regina went out for breakfast. The bill came to $7.12. If Regina has a discount coupon for 20%, how much will be taken off the bill? a. $0.40 c. $1.00 b. $0.70 d. $1.40

____ 58. An airline is trying to promote its new Boston to Atlanta flight. The usual price of this flight is $315. However, the airline is offering a 40% discount until the end of the month. How much will the flight cost after the discount? a. $126 c. $189

b. $441 d. $567

____ 59. A 15% tip on a diner bill is $2.55. How much is the bill?

a. $0.17 b. $0.38 c. $17.00 d. $38.25

____ 60. An airline is trying to promote its new Boston to Atlanta flight. The usual price of this flight is $315. However, the airline is offering a 40% discount until the end of the month. How much will the flight cost after the discount? a. $126 c. $189 b. $441 d. $567

____ 61. What is 5% of 200?

a.

b. 10 c. 40 d. 1,000

____ 62. What is 120% of 50?

a. 2.4 b. 6 c. 60 d. 6,000

____ 63. 56.25% of what number is 168.75?

a. 3 b. 94.9219 c. 300 d. 9,492.19

____ 64. Which of the following is correct? a. c. b. d.

____ 65. Write the expression 5 × 5 × 5 × 5 × 5 × 5 × 5 in exponential form. a. c. b. 15,625 d.

____ 66. Express in exponential form. a. c. b. d.

____ 67. What is the value of ? a. 4 c. 342 b. 22 d. 203

____ 68. What is the value of ? a. 8 c. 39 b. 35 d. 42

____ 69. Which expression has the greatest value? a. c. b. d.

____ 70. Which is the expanded form of ? a. b. c. d.

____ 71. Which phrase represents ? a. the quotient of a number and 12 b. the product of a number and 12

____ 72. The side length of an equilateral triangle is . Which expression represents the perimeter of the triangle? a. c. b. d.

____ 73. Which expression is equal to “the quotient of a number and 8”? a. c. b. d.

____ 74. What is the algebraic expression for 6 more than twice a number? a. c. b. d.

____ 75. Which expression matches the phrase “12 divided by ”? a. b.

____ 76. Which expression shows twelve less than a number? a. c.

b. d.

____ 77. What operation does the word “difference” indicate? a. addition c. multiplication b. subtraction d. division

____ 78. Evaluate for . a. 72 c. 64 b. 24 d. 8

____ 79. Evaluate for . a. 26 c. 24 b. 36 d. 48

____ 80. Which expression below represents “ more than 8”?

a. b. c. d.

____ 81. What is the value of the expression at ?

a. b. c. 2 d. 24

____ 82. Simplify . a. c. b. d. 3

____ 83. Determine which number is a solution of the equation.

a. 95 b. 108 c. 102 d. 109

____ 84. Which of the following has a solution of 9? a. c. b. d.

____ 85. For which equation is the solution? a. b.

____ 86. What is an expression for the missing value in the table?

a. c. b. d.

____ 87. is 4 less than a number . What expression represents the value of ? a. b. c. d.

____ 88. Which of these equations has the same solution as the equation ?

a. b. c. d.

____ 89. There are 6 blue shirts and green shirts in a drawer. There are 11 shirts total in the drawer. What equation models this situation?

a. b. c. d.

____ 90. Give the coordinates of point .

a. c. b. d.

____ 91. Identify the point on the number line.

0 1 2 3 4 50–1–2–3–4–5

a. b. c. 3.5 d. 4

____ 92. Identify the quadrant in which each point has an -coordinate that is positive and a -coordinate that is negative. a. Quadrant I c. Quadrant III b. Quadrant II d. Quadrant IV

____ 93. Name the quadrant of the coordinate plane where the point is located. a. Quadrant I c. Quadrant III b. Quadrant II d. Quadrant IV

____ 94. Write an expression for the missing value in the table. Tom’s Age Kim’s Age

10 13

11 14 12 15 a ?

a. c. b. d.

____ 95. The table below shows the balance of a savings account after weeks, where money is being withdrawn at a constant rate. Peter can find the balance of the account based on how many weeks have passed. What are the independent and dependent variables, and how do they change?

Time (weeks),

Balance (dollars),

0 850 1 800 2 750 3 700

a. As the independent variable increases by 1, the dependent variable increases by 50. b. As the independent variable increases by 1, the dependent variable decreases by 50. c. As the independent variable increases by 1, the dependent variable increases by 50. d. As the independent variable increases by 1, the dependent variable decreases by 50.

____ 96. A rectangle has a length of 9 cm and a width of 5 cm. What is its area? a. b.

____ 97. A rectangle has a length of 8 cm and a width of 11 cm. What is its area? a. 19 cm c. 88 cm b. d.

____ 98. What is the area of the following rhombus?

14 cm

24 cm

a. b. c. d.

____ 99. A brick has a length of , a width of , and a height of . How many cubes can fit

along the length of the brick?

a. 4 b. 5 c. 12 d. 240

____ 100. An aquarium has the dimensions shown in the net below. What is the surface area of the aquarium?

3 ft

4.5 ft

2 ft

2 ft

2 ft

3 ft

3 ft3 ft

a. b. c. d.

Short Answer

1. What is the value of ?

2. Find an expression for the missing value in this table.

3. Evaluate for

4. The zoo has lions, tigers, and bears. There are tigers in the zoo.

a. How many lions are in the zoo if there are 3 more lions that tigers? b. How many bears are in the zoo if the number of bears is two times the number of lions?

5. Write an equation described by the following table.

x 1 2 3 4 y 3 4 5 6

6. What is the area of the polygon?

7. Use the formula for volume to find the volume of the rectangular prism shown. Show your

work.

49

29

ydyd

79 yd

8. Which quadrant contains point ?

9. What are the coordinates of point ?

10. What are the coordinates of the point that is 2 units left and 5 units up from the origin?

11. Write two phrases for the expression 85 – y.

12. Solve for if .

13. Graph the point and describe its location.

14. Graph the point and describe its location.

15. Graph the point (5, 8) on the coordinate grid.

16. Write an equation for a function that gives the values in the table. Use the equation to find the value of

for the indicated value of .

17. Find the area of the figure.

18. Solve .

19. Evaluate for .

20. Which points share the same -coordinate?