MTAP Reviewer for Grade 9

This reviewer was taken from 2013 Metrobank-MTAP-Dep-Ed Math Challenge for third year. This is also advisable for fourth year and second year.

Directions: Give all fractions in the lowest terms. Eliminate negative exponents and rationalize denominators. Give equation of the lines in slope-intercept form.


1. Simplify \displaystyle\frac{(-2x^{-3}y^4)^{-4}}{x^5y^{-3}}x(3x^{-2}y^{-1})^4

2. Simplify: \displaystyle\frac{6\sqrt{2}}{\sqrt{7}-2}

3. Simplify: -2\sqrt{75}+5\sqrt{12}-4\sqrt{27}

4. Simplify: 6mn^4\root 3\of{8m^{11}n^4}-2m^3n\root 3\of{m^5n^{13}}

5. Simplify: xy^2\sqrt{16x^3y^5}-7y\sqrt{x^5y^7}+4y^3\sqrt{4x^5y^3} ifx>0 and y>0.

6. Simplify: \displaystyle\frac{x-2}{x^2-x-6}+\displaystyle\frac{x+5}{x^2-2x-15}

7. Solve: x(6x-1)=12

8. Find the equation of the line with x-intercept 3 and y-intercept -7.

9. Find the equation of the line passing through(2,3) and perpendicular to 7x-5y=40.

10. Find the constant s so that the lines (2s+4)x+5y=-7 and (s+4)x+3y=s are parallel.

11. Find the point of intersection of the lines 5x+2y=16 and 10x-3y=46

12. Find the supplement of an angle measuring 7\frac{2}{7}°

13. If \angle{X}=(6+5k)° and \angle{Y}=(158-3k)° are supplementary, find the complement of \angle{X}.

14. The four points A(-6,2), B(-3,-2), C(9,7) and D form Rectangle ABCD. What are the coordinates of D?

15. How many circles of radius 9 cm can be cut from a rectangular sheet of 3.7 m by 1.05m?

16. In Parallelogram PARK, \angle{P}=7x°, \angle{A}=(3x-20)°, and \angle{K}=(5y-10)°. What is x+y?

17. The angles of triangle are in the ration of 11:12:13. Find the measure in degrees ot each of its interior angles?

18. The vertex angle an isosceles triangle is 63°. Find the measure of the base angle?

19. The regular polygon has 15 sides. Find the measure in degrees of each of its interior angles?

20. An equilateral triangle has a perimeter 27 cm. what is its area?




Blogger and a Math enthusiast. Has no interest in Mathematics until MMC came. Aside from doing math, he also loves to travel and watch movies.

Latest posts by Dan (see all)

You may also like...

Leave a Reply

Your email address will not be published. Required fields are marked *