Diagnostic Test in Mathematics

Which of the following best describes the polygon in the figure?

• It is a regular concave hexagon.

• It is an irregular convex pentagon.

• It is an irregular concave hexagon.

• It is a regular convex hexagon.

Your classmate told you that the figure shown at the right is a polygon. Fortunately, your teacher has just discussed the lesson in your class. How will you discuss to him that his answer is incorrect?

• The figure is not a polygon because there are sides in the figure that are collinear.

• The figure is not a polygon because the sides are not connected.

• The figure is not a polygon because it is a solid figure.

• All of the above.

Harry is working on his floor plan design for his dream house. He needs to determine the total interior angles of a convex polygon that he wants to use for his flooring. If Harry’s polygon has 6 sides, what is the total sum of its interior angles?

• 540°

• 720°

• 900°

• 1260°

An irregular polygon with four sides has different angle measurements. Its three angles measure 65°, 100°, and 125°. Therefore, the measure of the fourth angle is 70°. Is the statement true?

• Yes, because the sum of an interior angle of a triangle is 360°.

• Yes, because the sum of an interior angle of a quadrilateral is 360°.

• Yes, because the sum of an exterior angle of a pentagon is 360°.

• Yes, because the sum of an exterior angle of a hexagon is 360°.

What is 0.45 as a fraction in lowest term?

• 9/15

• 9/20

• 20/9

• 15/9

Which of the following is true about the value of 2/3 in decimals?

• It is repeating.

• It is terminating.

• It is both repeating and non-terminating.

• It is non-repeating and non-terminating.

On the number line, which of the following square root can be found between the two integers 11 and 12?

• √12.5

• √130

• √174

• √164

The diameter of a hydrogen atom is 0.000 000 001 cm. What is its diameter in scientific notation?

In section Sampaguita, 3/5 of the students are boys. 1/3 of the boys wear black socks. What fraction of the class are boys who wear black socks?

• 1/5

• 3/8

• 1/4

• 1/2

A jar of peanut butter is shaped like a cylinder. It has a radius of 3 dm and a height of 5 dm. How many cubic decimeters of jam does it contain?