4th Nine Weeks Benchmark

Review

1. Find: 10-3(5-2) =

2. Simplify:4168

2624

3. Find: 15+3•22-10÷2

4. Given: g= 3, find 6(7-2g).

5. Evaluate х+8, for х =-11

6. Simplify: 15- (-6) -41

7. Find: (-26) 7

8. (-37)(-14)

9. Find: (-1)(-2)(-3)(-4)

10. Solve the equation: х+16=28.

11. Solve: х-5=14

12. Solve: 21= 34+ w

13. Find the solution for the equation 6m = -18.

14. Classify the given angle.

A

B C

A) right angle B) obtuse angle C) vertical angle D) acute angle E) straight angle

15. Classify the given angle.

•

•

•

B

A

C

A) right angle B) obtuse angle C) vertical angle D) acute angle E) straight angle

16. Which diagram shows two angles thatare supplementary and adjacent?

A)

30º 120º

30º

B) 45º 135º

C) 45º

135º

D)

135º

45º

E) 30º

35º

17. In the figure, name two complementary angles.

A

•

HK

C l

mD

q

p

F •

I

G

J

•

•

••

• B

•

E

•

•

•

A) GFE and GED

B) KBE and BED

C) FED and FEB

D) ABH and KBC

E) HBK and ABH

18. Classify the triangle

ABC.

45B

C

A

45

19. Which triangle is acute and scalene?

45º 45ºAB

Ca) b)

c)

63º63º

54ºd)

e)

G

I

H

15 15

15

N

L M

47º

74º

100º33º

69º37º

D

C E

S

TR

20. Find the measure of QRS.

32Q

27

R

S

21. In the given figure, m X = 60and m W= 87, find m WYZ.

Z

W

X •Y

22. In the given figure, what segment is congruent to QR?

Q

RS T

23. In the given figure, what angle is congruent to QRS?

Q

RS T

24. Which of the following are polygons?

I.

II.

III.

A) I only

B) III only

C) I and II only

D) I and III only

E) II and III only

25. If two polygons have the same shape and the same size, then the polygons are _______.

26. Which of the polygons is not a quadrilateral?

A) rhombus B) square C) parallelogram

D) pentagon E) trapezoid

27. How many sides does a rhombus have?

28. Which of the following line segments is a diameter of the circle shown?

A

D

B

O

C•

•

•

•A) AO

B) AB

C) BC

D) AC

E) OB

29. Which of the following line segments is a chord of the circle shown?

A

G

B

O

C•

•

•

•A) BC

B) AO

C) ED

D) EC

E) OG

•

•

•F

•E

•H

D

30. Which of the following line segments is a radius of the circle shown?

A

G

B

O

C•

•

•

•A) BC

B) AO

C) ED

D) EC

E) AB

•

•

•F

•E

•H

D

31. If the perimeter of a square is 60, find the length of each side?

32. What is the length of a side of a regular decagon, if the perimeter is 58?

33. Find the area of a square where the length of a side is 18?

34. What is the area of a square if each side of the square measures 20?

35. If the base of an isosceles triangle is 10 and the perimeter is 40, what is the length of a leg?

36. If the base and altitude of a triangle are 9 and 12 respectively, find the area of the triangle.

37. In the given figure, the bases of isosceles trapezoid ABCD are 6 and 12. Find the area of ABCD.

6

5

3

12A

D C

B

4

38. The bases of a trapezoid measure 12 and 17 and the height of the trapezoid is 5. What is the area of the trapezoid?

39. What is the circumference of a circle with a radius of 3.6 ft? (Write your answer in terms of π).

40. What is the circumference of a circle with a diameter of 3.6cm? (Write your answer in terms of π).

41. If the diameter of a circle is 8, find its area. (use 3.14 for π.)

42. Find the area of a circle with a radius of 6.5 in terms of π.

43. Find the volume of the rectangular prism.

9

5

4

44. If each edge of a cube is 3, what is the volume?

45. What is the volume of a rectangular prism with length 5, width 2, and height 3?

46. Find the volume of the circular cylinder.

•2

5

47. Find the volume of the circular cylinder whose radius is 7mm and height is 8mm.

48. Find the value of .49

49. Simplify: 225

50. Find the value of100

9

51. Find:

3)123(2)47( 2

52. Simplify: (-5+2)2 _ 4(6÷2)

53. Which of the following is a cylinder?

A) B) C) D)

E

54. Which of the following is a pyramid?

A) B) C) D)

E

55. How many faces does an octagonal pyramid have?

56. How many faces does a triangular prism have?

57. Find the mean for the set of data 44, 35, 47, 40, 37, 43, 40, 37, 42, 37, 49.

58. Find the median for the set of data 44, 35, 47, 40, 37, 43, 40, 37, 42, 37, 49.

59. Find the mode for the set of data 3.3, 4.6, 8.7, 4.6, 9.4, 3.8, 2.7, 4.6, 3.3.

60. Find the range for the set of data 3.3, 4.6, 8.7, 4.6, 9.4, 3.8, 2.7, 4.6, 3.3.

Topics to Study:

Squares and square rootsOrder of operationsSolving equationsAdding/ Subtracting/

Multiplying/ Dividing Integers

Topics to Study: cont…

Mean, median, mode, rangeGeometry terms and concepts

Angles, angle measures2-D and 3-D figures.Definitions, etc…