MATH EXAM

1. “ANG KATUPARAN NG PANGARAP MO AY NAGSISIMULA SA PAGKAKAROON NG PASADONG MARKA.”
-MYMP-
REPUBLIC OF THE PHILIPPINES
AEMILIANUM COLLEGE, INC
PIOT, SORSOGON CITY
A.Y. 2016-2017
3rd Quarterly Examination in Mathematics 9
(Preliminary)
NAME:_____________________________________________ DATE:________________
YEAR & SECTION:_____________________________________ SCORE:_______________
PART I. MODIFIED TRUE or FALSE
Direction: Write STUDY if the statement is true and HARD if it is false. Write your answer on the space
provided opposite each item.
_________1. Each diagonal of a parallelogramdivides the parallelogram into two congruent triangles.
_________2. If quadrilateral ABCD is a parallelogram, then AC divides the quadrilateral into two congruent
triangles.
_________3. Opposite angles of a parallelogramare congruent.
_________4. If the quadrilateral is a rectangle, then its diagonals are perpendicular.
_________5. For the two polygons to be similar their corresponding sides must be equal.
_________6. A kite is a quadrilateral with three pairs of adjacent sides congruent and no opposite sides
congruent.
_________7. The median of a trapezoid is twice the sum of the bases.
_________8. If quadrilateral ABCD is a rhombus, then AC is perpendicular to BD.
_________9. If quadrilateral ABCD is a rhombus, then angle A is congruent to angle C.
_________10. Opposite sides of a parallelogram are congruent.
_________11. Opposite sides of a kite are congruent.
_________12. Adjacent sides of a kite are equal.
_________13.
𝑎
𝑏
is the same as a : b.
_________14. If the diagonals of a parallelogram are congruent and perpendicular, then the parallelogram is a
square.
_________15. Kite is not a quadrilateral.
PART I. MULTIPLE CHOICE
Direction: Read, understand, and choose the correct answer. Encircle the letter of your choice.
1. A 5 foot tall boy casts an 11 foot shadow. The boy is standing 30 feet from a tree. How tall is the tree?
A.
2. determine the area of the trapezoid below:
A. 38 cm B. 28 cm C. 28 m D. 28 cm2
3. Which of these polygons has congruent diagonals?
A. Rhombus B. Triangle C. Trapezoid D. Rectangle
4. Find the unknown value in the proportion: 2 : x = 3 : 9.
A. 6 B. 13.5 C. 8 D. 7
5. Find the perimeter of the kite below if its adjacent sides measure 7cm and 13 cm respectively?
A. 40 m B. 40 cm2
C. 40 cm D. 20 cm

2. “ANG KATUPARAN NG PANGARAP MO AY NAGSISIMULA SA PAGKAKAROON NG PASADONG MARKA.”
-MYMP-
6. Find the area of the kite in item no. 5 if its shortest diagonal measures 8 cm.
A. 5√6 cm B. 15√6 cm C. 10√6 cm2
D. 10√6 cm
7. A trapezoid has bases equal to 13cm and 17 cm respectively, what is the median of the trapezoid?
A. 15 cm B. 20 cm C. 16 cm D. 15 cm2
8. Which parallelogram has for right angles and all congruent sides?
A. Rhombus B. Square C. Trapezoid D. Rectangle
9. A Flagpole casts a 75-foot shadow at the same time a tree 20 feet tall casts a shadow of 30 feet. How
tall is the flagpole
A. 40 ft. B. 50 ft C. 60 ft D. 70 ft
10. The perimeter of an isosceles trapezoid is 110 m and the bases are 40 and 30 m in length.
Calculate the length of the non-parallel sides of the trapezoid.
A. 20 m B. 10m C. 35 m D. 15 m
11. The sum of the interior angles of a quadrilateral should be?
A. 180 B. 360 C. 280 D. 270
12. A metal bar ten feet long weighs 128 pounds. What is the weight of a similar bar that is two feet four
inches long?
A. 29. 87 lbs B. 30 lbs C. 28. 87 lbs D. 28. 97 lbs
13. In the diagram below of parallelogramSTUV,SV = x + 3, VU = 2x −1,
and TU=4x −3.What is the length of SV?
A. 5 c. 7
B. 2 d. 4
14. Which statement is true about every parallelogram?
A. All four sides are congruent. C. Two pairs of opposite sides are congruent.
B. The interior angles are all congruent. D. The diagonals are perpendicular to each other.
15. The diagonals of the kite at the right measure 10 cm and 20 cm respectively. What will be the measure
of the kite’s shorter side if its adjacent side measures 7 cm?
A. 5√5 cm
B. 5√6 cm
C. 6√5 cm
D. 5√7 cm
16. Determine the perimeter of the kite in item no. 15.
A. 13 + 10√5 cm B. 14 + 10√5 cm C. 14 + 10√5 cm2
D. 14 + 5√5 cm
17. Which of these where in two diagonals are not necessarily equal?
A. Rectangle B. square C. Rhombus D. isosceles trapezium
18. The tax on a property with an assessed value of $70 000 is $1 100. What is the assessed value of a property if the
tax is $1 400?
A. $ 89090.91 B. $ 70 500. 90 C. $75 000 . 91D. $ 74 000. 9090
V
U
T
S

3. “ANG KATUPARAN NG PANGARAP MO AY NAGSISIMULA SA PAGKAKAROON NG PASADONG MARKA.”
-MYMP-
19. Sixteen cm and twelve cm are the measure of the diagonals of a rhombus. Therefore the length of each
side of the rhombus is?
A. 8cm B. 9cm C. 10cm D. 12cm
20. A line connects the midpoint of BC (Point E), with Point D in the square ABCD. Calculate the area of the
acquired trapezoidshape if the square has a side of 4 m.
A. 12 m B. 12 m2
C. 3m D. 3m2
21. Find the unknown value in the proportion: (2x + 1) : 2 = (x + 2) : 5
A. 1/8 B. – 0. 125 C. 8 D. -8
22. Two adjacent angles of a parallelogram are (2m + 25)° and (3m - 5)°. The value of m is?
A. 28 B. 32 C. 36 D. 42 ·
23. The diagonals do not necessarily intersect at right angles. Which of these is it?
A. Parallelogram B. rectangle C. Rhombus D. kite
24. Which of these is not true about a kite?
A. Has adjacent sides unequal C. Opposite sides are unequal
B. Has two pairs of adjacent sides congruent D. Diagonals are perpendicular
25. Given the trapezoid below. What will be its median?
A. 6 m B. 3m C. 3cm D. 6cm
26. The length and breadth of a rectangle figure are in the ratio 4 : 3. If the diagonal measures 25 cm then
the perimeter of the rectangle is ?
A. 56 cm B. 60 cm C. 70 cm D. 80 cm
27. If twelve inches correspond to 30.48 centimeters, how many centimeters are there in thirty inches?
A. 75.2 cm B. 66.2 cm C. 76.2 in D. 76.2 cm
28. Calculate the oblique side of the right trapezoid:
A. 2√10 m B. 10√2 cm C. 2√10 cm D. 3√10 cm
29. Determine the median of the trapezoid in item no. 22.
A. 9 cm B. 8 cm C. 4 cm D. 6 cm
30. The measure of one of the angles of a parallelogram is 2/3 of its measure of the adjacent angle. What is
the measure of the smaller angle of the parallelogram?
A. 54° B. 72° C. 81° D. 108°
31. The diagonals do not necessarily bisect the interior angles at the vertices in a?
A. Rectangle B. square C. rhombus D. all of these

4. “ANG KATUPARAN NG PANGARAP MO AY NAGSISIMULA SA PAGKAKAROON NG PASADONG MARKA.”
-MYMP-
32. A wooded area is in the shape of a trapezoid whose bases measure 128 m and 92 m and its height is 40
m. A 4 m wide walkway is constructed which runs perpendicular from the two bases. Calculate the area
of the wooded area after the addition of the walkway.
A. 4240 m B. 4240 m2
C. 4400 m2
D. 4400 m
33. Determine the median of the trapezoid above.
A. 110 m B. 4400 m C. 2200 m D. 1100 m
34. One piece of pipe 21 meters long is to be cut into two pieces, with the lengths of the pieces being in a
2 : 5 ratio. What are the lengths of the pieces?
A. 2m & 5m B. 7m & 14m C. 6m & 13m D. 6m & 15m
35. In a square ABCD, AB = (2m + 3) cm and BC = (3m - 5) cm. Then, the value of m is?
A. 4 B. 5 C. 6 D. 8
PREPARED BY:
Rodel P. Jazmin
Mathematics 9 Teacher