Grade 7 Metrobank – MTAP Math Challenge Sample Problems Part 4

mmc

1. In teacher Ella’s class, a student receives a final grade of A if the student garners an average of at least 92% in the five long tests. After four long tests, Jonathan got an average of 91%. At least how much should he get in the last long test to get a final grade of A?

2. A class of 47 students took examinations in algebra and in Geometry. If 20 passed Algebra, 26 passed Geometry and four failed in both subjects, how many passed both subjects?

3. A runner started a course at a steady rate of 8 kph. Five minutes later, a second runner started the same course at 10 kph. How long did it take for the second runner to overtake the first?

4. A rectangle has sides (2x+3) cm and (4x+5) cm. how many squares of side x cm can be cut from it?

5. Let ABCDE is a regular Pentagon. What is the measure of \angle{CAD}?

6.  The average of five numbers is 20. If the sum of two numbers is 23, what is the average of other 3 numbers?

7. A long steel bar is to be cut in the ratio of 2:3:5. If the middle piece is 7 , how long is the steel bar?

8. Marvin is 10% taller than Homer and homer is 10% taller than August. How much (in percent) is Marvin taller than August?

9. Which is the largest? a=2^{48}, b=3^{28}, c=5^{24}

10. When 3n is divided by 7 the remainder is 4. What is the remainder when 2n is divided by 7?

11. Which is smaller? A=(2015)(2014)(2013)(2012)(2011) or B=2013^5 ?

12. If \displaystyle\frac{-12}{5}\leq x\leq\frac{-1}{2} and 3\leq y\le\displaystyle \frac{9}{2}, what is the largest possible value of \displaystyle\frac{x-y}{x+y}

13. If x^2-3x+1=0, find the value of x^2+\displaystyle\frac{1}{x^2}

14. If (x+3)(x-3)(x+1)=(x+2)Q(x)+(x+3)(x-2), what is Q(x)?

15. All faces of a 4-inch cube have been painted. If the cube is cut into 1-inch smaller cubes, how many of them have no paint on all their faces?

16. If x=-1 find the value of 2013x^{2013}+2012x^{2012}+2011x^{2011}+\ldots+2x^2+x?

17. The sum of two numbers is 20 and their product is 15. Find the sum of their cubes?

18. How many positive factors does 62(63^3+63^2+63+1)+1 have?

19. If the sides of the cube are tripled, what percent of the original volume is the new volume?

20. If the number 100 is expressed as a sum of 100 consecutive positive odd integers, what is the largest among all numbers?

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...

54 Responses

  1. Tracie says:

    Hello I am so grateful I found your web site, I really found you by error, while I was browsing on Aol for something else, Nonetheless I am here now and would just like to say thank you for a marvelous post and a all round exciting blog (I also love the theme/design), I donít have time to go through it all at the minute but I have book-marked it and also included your RSS feeds, so when I have time I will be back to read much more, Please do keep up the superb job.

  2. I want to show my thanks to this writer for rescuing me from this type of trouble. Right after scouting through the internet and getting basics which were not powerful, I thought my life was gone. Existing without the presence of answers to the difficulties you’ve sorted out through your short post is a critical case, as well as the ones that might have badly damaged my entire career if I hadn’t discovered your web page. Your own personal talents and kindness in handling all areas was very useful. I don’t know what I would’ve done if I had not encountered such a step like this. I can at this time look ahead to my future. Thanks very much for your professional and amazing help. I will not be reluctant to recommend your web sites to anyone who requires direction about this matter.

  3. VP4v8j Pink your weblog publish and beloved it. Have you ever thought about visitor publishing on other related weblogs similar to your website?

  4. PqMtBe Very neat article post.Really looking forward to read more.

  5. Thank you for your blog post.Really thank you! Keep writing.

  6. London tours says:

    This is one awesome blog post.Thanks Again. Want more.

  7. bed pillows says:

    Great blog post.Really thank you! Awesome.

  8. Looking forward to reading more. Great blog. Will read on…

  9. Thanks for the article post.Really looking forward to read more. Much obliged.

  10. Z Wave says:

    Thanks-a-mundo for the post. Will read on…

  11. I’а†ve learn several excellent stuff here. Definitely worth bookmarking for revisiting. I surprise how so much effort you place to create such a magnificent informative web site.

  12. mavic says:

    pretty useful material, overall I imagine this is worthy of a bookmark, thanks

  13. Outstanding post, I think website owners should learn a lot from this website its rattling user friendly. So much good info on here .

  14. So funcy to see the article within this blog. Thank you for posting it

  15. candles says:

    I think you have remarked some very interesting details , appreciate it for the post.

  16. Frank Fabian says:

    Thanks for all your efforts that you have put in this. very interesting info.

  17. I truly appreciate this article. Much obliged.

  18. Very good post. I will be dealing with many of these issues as well..

  19. I value the blog article.Thanks Again. Awesome.

  20. fallen angel says:

    Wanted to drop a remark and let you know your Feed isnt functioning today. I tried including it to my Bing reader account and got nothing.

  21. Im obliged for the blog post.Really thank you! Really Cool.

  22. This is one awesome blog.Really looking forward to read more.

  23. I truly appreciate this blog article. Keep writing.

  24. Photography says:

    I really liked your blog.Much thanks again. Will read on…

  25. Im grateful for the post.Really thank you! Really Great.

  26. Thank you ever so for you post.Really thank you!

  27. You could definitely see your expertise in the work you write. The world hopes for even more passionate writers like you who are not afraid to say how they believe. Always go after your heart.

  28. Thanks a whole lot for sharing this with all of us you really know what you are speaking about! Bookmarked. Kindly also check out my web-site =). We could possess a link exchange contract amongst us!

  29. Folk Artists says:

    Sweet blog! I found it while searching on Yahoo News. Do you have any suggestions on how to get listed in Yahoo News? I ave been trying for a while but I never seem to get there! Appreciate it

  30. It as not that I want to duplicate your web site, but I really like the layout. Could you tell me which style are you using? Or was it custom made?

  31. 801164 937004 very nice post, i definitely adore this web site, keep on it 910110

  32. Wow, marvelous blog layout! How long have you been blogging for? you made blogging look easy. The overall look of your website is excellent, let alone the content!

  33. Brad Garnham says:

    My brother recommended I may like this website. He was totally right.

  34. This very blog is obviously cool as well as diverting. I have discovered helluva helpful things out of it. I ad love to return every once in a while. Thanks a bunch!

  35. Looking forward to reading more. Great blog post.Much thanks again. Much obliged.

  36. teen jobs says:

    Very good blog post.Much thanks again. Want more.

  37. Dong says:

    shannonvine.com Shannon Vine Photography Blog

  38. Muchos Gracias for your blog.Really looking forward to read more. Awesome.

  39. Wilma says:

    Websites we recommend Wow, superb blog layout! How long have you been blogging for? you make blogging look easy. The overall look of your site is excellent, as well as the content!

  40. Help says:

    Fantastic article.Really thank you! Really Great.

  41. I think this is a real great blog article.Thanks Again. Will read on…

  42. A big thank you for your blog post.Much thanks again. Awesome.

  43. I was suggested this blog through my cousin. I am now not sure whether this post is written through him as no one else realize such distinctive about my trouble. You are incredible! Thank you!

  44. Play says:

    Really appreciate you sharing this blog article.Much thanks again.

  45. Respect to website author , some good entropy.

  46. Kristofer says:

    Great beat ! I wish to apprentice while you amend your website, how could i subscribe for a blog site? The account aided me a acceptable deal. I had been tiny bit acquainted of this your broadcast provided brilliant transparent idea

  47. Looking forward to reading more. Great blog article. Much obliged.

  48. If some one needs to be updated with most up-to-date technologies after that he must be visit

  49. This is my first time pay a quick visit at here and i am actually pleassant to read all at alone place.

  50. Really appreciate you sharing this article post.Thanks Again. Will read on

  51. VIDEO:аЂ Felicity Jones on her Breakthrough Performance in ‘Like Crazy’

  52. Thanks-a-mundo for the post.Thanks Again. Awesome.

  53. Wow, marvelous blog layout! How long have you been blogging for? you made blogging look easy. The overall look of your website is wonderful, let alone the content!

  1. April 18, 2014

    penis extender review

    hi!,I really like your writing very so much! proportion we communicate more approximately your post on AOL? I need an expert on this space to solve my problem. Maybe that is you! Taking a look forward to look you.

Leave a Reply

Your email address will not be published.