Eighth Grade Geometry Fourth Quarter Examination

Republic of the Philippines Department of Education

Region XII

LIBERTY NATIONAL HIGH SCHOOL Liberty, Tampakan, South Cotabato

MATHEMATICS 8 (GEOMETRY)

FOURTH QUARTER EXAMINATION SY 2017-2018

Name: ______________________________________ Score: __________________

Grade & Section: _____________________ Date: __________________

General Direction: Read and follow the given instructions carefully. Use your blue or black pen in answering the test. Avoid erasures.

I. Multiple Choices: Each item below has four choices. Select the best answer and write only the letter of

your choice on the blank provided before the number.

_____1. Which of the following statements is TRUE, given that

q

∥

r

and cut by a transversal line

t

and m∠2=120° ?

a.

m

∠7=120

°

c.

m∠

6=60

°

b.

m

∠8=120

°

^d.

m∠

4=60

°

_____2. In the figure below, which of the following guarantees that a∥b ?

a. ∠4≅∠6 c. ∠5≅∠2

b. ∠1≅∠8 d. ∠3≅∠2

_____3. Lines m and n are parallel cut by a transversal t which is also perpendicular to m and n. Which statement is not correct?

a. ∠1 ¿∠6

are congruent

b. ∠2∧∠3are supplementary c. ∠3∧∠5

are congruent angles

d. ∠1∧∠4form a linear pair

______4. In the figure, is line 1 parallel to line 2?

a. yes, because ∠2∧∠8 are alternate interior angles.

b. Yes, because 4

x

+4=3

x

+8 . c. No, because 4x+4≠3x+8 .

d. No, because 4

x

+4 is supplement to 3

x+8

.

______5. Your teacher told you to draw parallel lines cut by a transversal where the measure of one of the interior angles on the same side of the transversal is six more than twice the measure of the other.

What is the possible outcome of your illustration?

a. c.

b. d.

______6. What is the median of 3, 4, 4, 5, 6, 6, 7?

a. 4 b. 6 c. 4 and 6 d. 5

______7. What is the mode of 2, 3, 4, 4, 5, 6, 7?

a. 4 b. 5 c. 6 d. 7

______8. John scores in his 10 quizzes are 8, 7, 5, 6, 7, 9, 8, 10, 7, 9. How many of his scores are below Median of the scores?

a. 1 b. 3 c. 5 d. 7

______9. The given data are the final grades of five grade 8 students in 5 major subjects. Who among them will be the possible first honor?

Mathematics English Science Filipino MAPEH

Student A 94 97 93 94 90

Student B 90 92 93 98 94

Student C 92 93 92 97 96

Student D 93 95 91 96 92

Student E 92 94 90 95 93

a. Student A b. Student B c. Student C d. Student D .

______10. A video shop owner wants to find out the performance sales of his two branch stores for the last five months. The table shows their monthly sales in thousands of pesos.

Branch A 20 18 18 19 17

Branch B 17 15 25 17 18

Which store is consistently performing? Why?

a. Both, since the average sales are the same.

b. Branch A, since the range of Branch A is smaller than Branch B.

c. Branch B, since it has the highest sale.

d. None of the above.

II.

Solve for the following.

A. Complete the tables below. Find the measure of central tendency of the grouped data.

The following set of raw data shows the lengths, in millimeters, measured to the nearest mm, of 40 leaves taken from plants of a certain species. This is the table of frequency distribution.

1. Find the mean of the grouped data. (5 pts)

Lengths (mm)

f

^x

fx

25 – 29 2

30 – 34 4

35 – 39 7

40 – 44 10

45 – 49 8

50 – 54 6

55 – 59 3

Mean =

∑

⁽

fX

⁾

∑ f

2. Calculate the median and mode of the grouped data. (15 pts)

Lengths (mm)

f

lb <cf

25 – 29 2

30 – 34 4

35 – 39 7

40 – 44 10

45 – 49 8

50 – 54 6

55 – 59 3

a. Median

fx

2 ⁼

___________________________

______________________________

______________________________

¿cf = f_{mc =}

lb

_mc =

i = ____________

Solution:

Solution:

Md =

lb

_mc+

[ fx2−¿fmccf ] i

b. Mode

lb

_{mo =} D₁ =

D

₂ = i =

B. Find the measures of variability of the grouped data. Complete the table. (15 pts.) The following table shows the distribution of marks of 60 students who took part in math quiz.

Marks f X fX (

X

−´

x)

(

X

−´

x

)²

f

(X− ´

x

)²

56 – 60 0

61 – 65 7

66 – 70 5

71 – 75 10

76 – 80 13

81 – 85 2

86 – 90 2

91 – 95 15

96 – 100 3

a. What is

´x ?

____________________________________________

b. Find the range.

c. Calculate for the variance.

d. Solve for the standard deviation.

 END OF EXAMINATION 

“I will go before you, and make the crooked places straight.”

~ Isaiah 45:2

Prepared by:

Solution:

Mode =

lb

_mo+

[ D

¹

D

⁺¹

D

²

] i

Solution:

Solution:

Solution:

Sheila Mae V. Cabasag, T-1

Subject Teacher Parent’s Signature: ______________