Question 1

What will happen if a = 0 in the standard form of quadratic equation, ax²+ bc + c =0?

I. The equation is not quadratic.

II. The equation becomes linear.

III. The degree of the equation remains 2.

Accepted Answer

I and II

Answer

II and III

Question 2

What equation of variation represents the relation of the number of days d to renovate a house with the number of men n available to do the job?

Accepted Answer

multiplem://d= kn|2:dn= $\frac{1}{k}$ |1:d= $\frac{k}{n}$ |3

Answer

$\frac{d}{n}$ =k

Question 3

Which of the following is NOT a property of parallelogram ?

Accepted Answer

Opposite angles are congruent

Answer

Opposite sides are parallel and congruent

Question 4

A proportion is a statement of equality of two rates or two ratios. Given a:b = c:d

Which of the following equations is NOT a proportion?

Accepted Answer

multiplem://a is to c equals b is to d|1:d is to b equals c is to a|2:a is to b equals b is to d|3

Answer

b is to a equals d is to c

Question 5

Which of the following situations does NOT illustrate a property of similar figures?

Accepted Answer

multiplem://A diorama of World War 2|3:A picture-painting of The Monalisa with a scale factor of $\frac{1}{k}$ |1:The map of the Philippines with a given scale factor|2

Answer

ID pictures of the same person with sizes of 1” by 1” and 2” by 2”.

Question 6

Which of these pairs of figures has a scale factor of

\frac{d}{n}

?

Accepted Answer

III only

Answer

I, II and III

Question 7

Which of the following pairs of triangles are similar, if XY is parallel to BC in

\frac{d}{n}

Accepted Answer

∆ABC & ∆AXY

Answer

∆ACB & ∆XYA

Question 8

What is the correct ratio for tan A ?

Accepted Answer

3 is to 4

Answer

5 is to 3

Question 9

Which of the following figures illustrates Sine B=

\frac{d}{n}

Accepted Answer

#98f840ea-4eff-49c0-9e2e-8e7dbb3c12ea/question/bd7df34e151ebbe2f1842e9c0171155353b4cf7b.PNG

Answer

https://uploads.quizalize.com/98f840ea-4eff-49c0-9e2e-8e7dbb3c12ea/question/704412dd00191afabf92072eff01a1b7bc9ab963.png

Question 10

Which of the following situations describes the given illustration?

Accepted Answer

A 5-foot ramp leans against an 8-foot structure, x is the angle that the ramp makes with the ground

Answer

A 5-foot man is 8 feet away from a building. x is angle of elevation

Question 11

From the top of the tallest building in Metro Manila to the ground is

\frac{d}{n}

, what do you call this angle?

Accepted Answer

Angle of Elevation

Answer

Right Angle

Question 12

Which of the following angles is the angle of depression in the given figure?

Accepted Answer

∠BAD

Answer

∠A

Question 13

Given ∆ ABC, if angle A = 30°, what trigonometric ratio should be used to find the length of the hypotenuse if the side opposite to angle A is 5 units?

Accepted Answer

tan A

Answer

cot A

Question 14

Which of the following is the exact numerical value of the expressions sin²

30\degree

and cos²

60\degree

?

Accepted Answer

1

Answer

1.25

Question 15

Which of the following is the correct illustration of oblique triangle ABC with $\frac{1}{k}$ A= $\frac{k}{n}$ =8cm and b=11 cm.

Accepted Answer

https://uploads.quizalize.com/98f840ea-4eff-49c0-9e2e-8e7dbb3c12ea/question/6eecdd63343f281de6353cbe3f181e63853fd0e9.PNG

Answer

https://uploads.quizalize.com/98f840ea-4eff-49c0-9e2e-8e7dbb3c12ea/question/9cf1c7a03459c40b190cec02ad1704c0f5e02a4d.PNG

Question 16

A triangular metal frame has side 8, 12 and 16 m. What should be used to solve the angles between the frames?

Accepted Answer

Law of Tangents

Answer

Pythagorean Theorem

Question 17

What are the values of x in x²- 5x - 6 = 0?

Accepted Answer

2 or 3

Answer

-2 or -3

Question 18

When a space satellite orbits the Earth, the force, attracting it towards the Earth is inversely proportional to the square of its distance D from the Earth. If F = 50 N, when D is 200 miles. What is the value of D if F is 20,000 N?

Accepted Answer

2 000 000mi

Answer

10,000mi

Question 19

What is the simplified product of ( $\frac{1}{k}$ ) ( $\frac{k}{n}$ ) ( $4\ ^{\frac{1}{6}}$ )?

Accepted Answer

144\ ^{\frac{1}{6}}

Answer

$\frac{d}{n}$

Question 20

What is the simplified form of

\frac{d}{n}

?

Accepted Answer

144\ ^{\frac{1}{6}}

Answer

$\frac{d}{n}$

Question 21

If a 36-storey building is 110-meter high, using the formula d = $\sqrt{\frac{3h}{2}}$ for sight distance where d is the distance and h is height where the person is, how far can you see the building on a clear day?

Accepted Answer

144\ ^{\frac{1}{6}}

Answer

$\frac{d}{n}$

Question 22

The area of the kite is $\frac{1}{k}$ and the length of the diagonal is 36 cm. How long is the other diagonal?

Accepted Answer

5 cm

Answer

6480 cm

Question 23

The measures of the acute angles of a right triangle are in the ratio 3:2. What are the measures of the angles?

Accepted Answer

54° and 36°

Answer

30° and 20°

Question 24

The ratio of male students to female students is 5:7 at a certain school. If there are 300 students in total, how many male students are there in the school?

Accepted Answer

175 students

Answer

150 students

Question 25

In a 45°- 45°- 90° triangle, if the legs measure 3 cm. What is the length of the hypotenuse?

Accepted Answer

144\ ^{\frac{1}{6}}

Answer

$\frac{d}{n}$

Question 26

A man wishes to measure the distance across the Marikina River.

He finds that C = 112^o 53’ and A= 31^o6’ and B= 15 m. Find the required distance based on the illustration.

Accepted Answer

46.56 meters

Answer

94.53 meters

Question 27

What is the length of the shadow cast by Marikit if the distance from the top of the head to the tip of the shadow is

\frac{d}{n}

feet when the sun is

30\degree

above the horizon?

Accepted Answer

\frac{d}{n}

feet

Answer

35 $\frac{1}{k}$ feet

Question 28

One of the interior angles of a right triangular flower garden is $\frac{1}{k}$ and its longest side measures 12 m. What is the length of the longer side of the flower garden?

Accepted Answer

6 meters

Answer

24 meters

Question 29

What are the sum and product of the roots of -4x²- 3x + 1 = 0?

Accepted Answer

-

\frac{d}{n}

and -

30\degree

Answer

$\frac{d}{n}$ and $30\degree$

Question 30

Determine whether the given quadrilateral is a parallelogram.

If so, state the reason.

Accepted Answer

Yes, because the quadrilateral has 2 pairs of opposite sides ≅

Answer

Not a parallelogram

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