POST TEST_MATHEMATICS

Which of the following is a four-sided polygon?

• Decagon

• Pentagon

• Quadrilateral

• Triangle

When two parallel lines are cut by a transversal, which of the following relationships is NOT correct?

• Corresponding angles are congruent.

• Alternate exterior angles are congruent.

• Alternate interior angles are supplementary.

• Consecutive interior angles are supplementary.

In drafting a math garden layout, Roy is tasked to draw some areas whose shapes are regular and irregular pentagons. He was given the following angles: ∠𝐴 = 90°, ∠𝐵 = 100°, ∠𝐶 = 140°, ∠𝐷 = 120°, and ∠𝐸 = 108°.

Which of the following would be most helpful for Roy to accurately construct a regular pentagon?

• Use ∠ A and the Pythagorean Theorem.

• Add the five given angles and divide the sum by 5.

• Use ∠ E as the measure of each interior angle of the pentagon.

• Make 3 triangles using the given angles to form a regular pentagon

In drafting a math garden layout, Roy is tasked to draw some areas whose shapes are regular and irregular pentagons. He was given the following angles: ∠𝐴 = 90°, ∠𝐵 = 100°, ∠𝐶 = 140°, ∠𝐷 = 120°, and ∠𝐸 = 108°.

Which of the following best helps him to construct an irregular pentagon?

• An exterior angle should measure 72°.

• It must always be a concave pentagon.

• At least one interior angle must not be 108°.

• The sides must not always be congruent to each other.

In drafting a math garden layout, Roy is tasked to draw some areas whose shapes are regular and irregular pentagons. He was given the following angles: ∠𝐴 = 90°, ∠𝐵 = 100°, ∠𝐶 = 140°, ∠𝐷 = 120°, and ∠𝐸 = 108°.

He used ∠A, ∠B, ∠C, and ∠D as interior angles of an irregular pentagon. What must be the measure of the fifth interior angle?

• 80°

• 90°

• 100°

• 120°

Christa, a boutique shop owner, offers a 20% discount on a dress originally priced at ₱ 500.

What is the new selling price of a dress after the discount is applied?

• ₱300

• ₱400

• ₱450

• ₱600

Christa, a boutique shop owner, offers a 20% discount on a dress originally priced at ₱500.

If Christa earns a 15% profit on the discounted selling price of a dress, how much profit will she earn from a dress?

• ₱15

• ₱40

• ₱60

• ₱75

Norman applies the 50/30/20 rule in budgeting his allowance: where 50% of it goes to needs, 30% goes to wants, and 20% goes to savings. If his weekly allowance is ₱600, how many weeks would it take him to save at least ₱500?

• 2

• 3

• 4

• 5

Which of the following is NOT a real-life application of rates?

• Measuring the area of a room

• Calculating the speed of a car

• Determining the cost per kilogram of rice

• Figuring out the number of people per square kilometer in a city

A cyclist travels at a constant speed of 15 km/h. How long will it take them to cover a distance of 30 km?

• 1 hour

• 2 hours

• 3 hours

• 4 hours