MTAP Reviewer for grade 9 Part 2

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. A right triangle has legs 4\sqrt{5} and 2\sqrt{5}. How long is the hypotenuse?

2. Quadrilateral PQRS has right angles at P and R. If PQ=9, PS=12, and QR=10, find RS.

3. What is the area of quadrilateral PQRS from the previous problem?

4. The shortest legs of two similar triangles are 5 and 7.5. if the bigger triangle has perimeter 33, find the perimeter of the smaller triangle.

5. (Figure 1) Suppose FG=12, IJ=18 and JK=21. Find GH.fig1.geom

6. (Figure 1) Suppose FG=x-3, FH=x+5, IJ=x+3 and JK=2x. Find x.

7. (Figure 1) Suppose the perimeter of ΔFGH and ΔIJK are 20 and 48, respectively. If GH=12, find JK.

8. ATOM is an isosceles trapezoid having bases AT and MO, with AT<MO. If AT=12, TO=6 and \angle{TOM}=45°, find the perimeter of ATOM.

9. Find the area of the ATOM from the previous problem.

10. The diagonals of a Rhombus differ by 4. If its perimeter is 40, find its area.

11. The diameter of a sphere is the same as the side of a cube. If the cube’s volume is 512 cm3, find the sphere’s exact volume.

12. (Figure 2) If TQ=4\sqrt{5} and TS=12\sqrt{5}, find RT.geom2

13. (Figure 2) If RS=9\sqrt{6} and TS=18, find TQ.

14. (Figure 3) Find the perimeter of STUV.

15. Circles A and B have radii 5 and 7, respectively, and the distance between their centers A and B is 6. If two circles intersect at points M and N, find the length of the common chord MN.

16. What is the 16th term of the arithmetic sequence 13,19,25,. . .?

17. What is the sum of the first 21 terms of the arithmetic sequence from the previous problem?

18. A geometric sequence has first term 5, and fourth term 80\sqrt{2}. What is its second term?

19. A geometric sequence of positive terms has fifth term 24 and ninth term 384. Find the sum of its first 6 terms.

20. Suppose a ball rebounds 2/3 the distance it falls. If it is dropped from a height of 20 m, how far does it travel before coming to rest?

Dan

Dan

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.
Dan

Latest posts by Dan (see all)

You may also like...

7 Responses

  1. Lavina says:

    Hello! Do you know if they make any plugins to protect against hackers? I’m kinda paranoid about losing everything I’ve worked hard on. Any tips?

  2. eye cream says:

    What’s Taking place i’m new to this, I stumbled upon this I’ve found It positively useful and it has helped me out loads. I’m hoping to give a contribution & assist different customers like its aided me. Great job.

  3. suba me says:

    YIfXv5 Very rapidly this website will be famous among all

  4. pron best says:

    u0YOWg I think this is a real great post. Great.

  5. pron best says:

    Wm0OCf It as hard to find educated people on this topic, but you seem like you know what you are talking about! Thanks

  6. suba me says:

    ozjj3v you may have an incredible weblog right here! would you like to make some invite posts on my blog?

Leave a Reply

Your email address will not be published.