4th Year Math Challenge Practice Questions and Answers

Write equation of the line in ax+by+c=0.                         Time: 1 hr

  1. Which of the following is/are function/s;                                                                                                                a.) x=y-4                b.)x=y2-1             c.) y=x2+2            d.)x2+y2=25
  2. The sum of the supplement and complement of an angle is 228°. Find the measure of the angle.
  3. ABCD is a quadrilateral inscribed in a circle. If angle A is 25°. What is the measure of angle C?
  4. Solve for x in the following equation: \displaystyle{\frac{2x-3}{3x-2}=\frac{6x-1}{9x+1}}
  5. Find the sum of the roots of m-3x-2x2=0 where m is a real number.
  6. What is the range of function f(x)=2x-1 in the domain [-2,2]?
  7. What is the minimum value of y=2x2-3x+2?
  8. What the domain of y=log4(x2-1)?
  9. If f(x)=2x2-1 and g(x)=x-1. What is f◦g?
  10. What is the system of equations 2x-y=1 and x-2y=2?
  11. Find the shortest distance between the point (2,3) and x-2y-4=0.
  12. Find the equation of the line through (3,4) and parallel to 2x+y-4=0.
  13. Find the equation of the line though (3,4) whose slope is twice the slope of 3x-2y-5=0
  14. Triangle ABC is right angle at B and inscribed in circle O. If the legs of the triangle are 3 and 4. What is the area of the circle?
  15. What is the remainder when f(x)=99x99+98x98+97x97+ . . . + 2x2+x is divided by x-1?
  16. For what value/values of k does the equation y=3x2-kx+3 has real and distinct roots?
  17. Find the equation with integral coefficient whose roots are the reciprocal of the roots of 2x2+3x-1.
  18. A pair of fair dice was tossed once. What is the probability that a sum of 6 is obtain?
  19. The ratio of the sides of two regular hexagons is 4:5. What is the ratio of their areas respectively?
  20. What is the positive root of x2-4x-2=0?
  21. The sum of the number and 3 less than twice the number is 15. What is the number?
  22. What is the inverse function of f(x)=(x-2)/(2x+1)?
  23. Find the solution set of x2-5x+6<0
  24. Find the solution set of │2x-3│<7
  25. The perimeter of the rectangle is 24 cm. If the length is two more than the width, what is the area of the rectangle?

Click here for the answer key. Good luck!

Click here for Problem of the week

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...

90 Responses

  1. Clayton says:

    I am continually invstigating online for articles that can help me. Thx!

  2. Greetings from Carolina! I’m bored to tears at work so I decided to check out your website on my iphone during lunch break. I love the info you provide here and can’t wait to take a look when I get home. I’m shocked at how quick your blog loaded on my phone .. I’m not even using WIFI, just 3G .. Anyhow, good blog!

  3. VbJsA3 Pretty! This has been a really wonderful post. Many thanks for providing these details.

  4. Wow, great post.Really thank you! Really Cool.

  5. Say, you got a nice article post.Much thanks again. Awesome.

  6. Dramacool says:

    Thank you ever so for you article post.Really looking forward to read more. Really Cool.

  7. Muchos Gracias for your post.Much thanks again. Will read on

  8. Muchos Gracias for your article post. Want more.

  9. There is definately a great deal to know about this subject. I love all the points you ave made.

  10. Very neat blog.Much thanks again. Will read on…

  11. Major thankies for the article.Really looking forward to read more. Keep writing.

  12. Im obliged for the blog article.Really looking forward to read more. Awesome.

  13. mavic says:

    own blog? Any help would be really appreciated!

  14. It is in reality a nice and helpful piece of information. I am satisfied that you shared this helpful info with us. Please stay us up to date like this. Thanks for sharing.

  15. Thanks for the article.Really thank you! Will read on

  16. Natural says:

    Thanks for another wonderful post. The place else could anybody get that kind of info in such a perfect way of writing? I have a presentation next week, and I am at the search for such information.

  17. UoN says:

    Very interesting subject , regards for putting up.

  18. plumpers says:

    Really enjoyed this blog article.Really looking forward to read more. Much obliged.

  19. we came across a cool site that you simply may well take pleasure in. Take a appear should you want

  20. This is my first time pay a quick visit at here and i am in fact happy to read everthing at alone place.

  21. Cheap jacket says:

    Rtl horoscope haas horoscope poisson du jour femme

  22. Wow, great article.Much thanks again.

  23. Muchos Gracias for your article post.Much thanks again. Want more.

  24. Your current blogs continually have much of really up to date info. Where do you come up with this? Just declaring you are very innovative. Thanks again

  25. Perfect piece of work you have done, this web site is really cool with great info.

  26. Really appreciate you sharing this article. Awesome.

  27. Fantastic blog article.Really thank you! Keep writing.

  28. I really liked your blog post.Really looking forward to read more. Cool.

  29. angel holy says:

    Spot on with this write-up, I actually suppose this website needs far more consideration. I all in all probability be once more to read way more, thanks for that info.

  30. I appreciate you sharing this article.Thanks Again. Awesome.

  31. apparel says:

    I’а†ve recently started a blog, the info you offer on this site has helped me greatly. Thank you for all of your time & work.

  32. I loved your post.Really looking forward to read more. Really Cool.

  33. I truly appreciate this article.Really thank you! Great.

  34. This particular blog is no doubt educating and besides amusing. I have found a bunch of interesting things out of this amazing blog. I ad love to return again soon. Thanks!

  35. I really like and appreciate your blog.Really looking forward to read more. Fantastic.

  36. taste says:

    You ave made some really good points there. I looked on the web for additional information about the issue and found most individuals will go along with your views on this web site.

  37. Photography says:

    A round of applause for your blog post.Really looking forward to read more. Keep writing.

  38. Friv says:

    pretty handy material, overall I consider this is really worth a bookmark, thanks

  39. school says:

    Im obliged for the blog post. Will read on…

  40. I really like and appreciate your post.

  41. Painting says:

    wow, awesome article.Really thank you! Really Great.

  42. This very blog is no doubt interesting as well as amusing. I have picked up a bunch of useful advices out of this blog. I ad love to go back every once in a while. Thanks!

  43. Im thankful for the article.Thanks Again. Great.

  44. This very blog is obviously awesome and also informative. I have chosen a lot of interesting things out of this amazing blog. I ad love to return over and over again. Thanks a bunch!

  45. Very interesting info !Perfect just what I was searching for! If you want to test your memory, try to recall what you were worrying about one year ago today. by Rotarian.

  46. You made some decent points there. I looked on the internet for the subject and found most individuals will agree with your blog.

  47. law says:

    You are my inspiration, I own few web logs and occasionally run out from brand . Truth springs from argument amongst friends. by David Hume.

  48. Only wanna input that you may have a very nice internet site, I enjoy the design and style it actually stands out.

  49. recurve bow says:

    Your style is unique compared to other folks I ave read stuff from. Thank you for posting when you have the opportunity, Guess I will just bookmark this page.

  50. Im grateful for the blog post.Much thanks again. Awesome.

  51. Thank you for your blog.Really thank you! Really Cool.

  52. I will definitely check these things out

  53. pest control says:

    When some one searches for his essential thing, thus he/she wishes to be available that in detail, therefore that thing is maintained over here.

  54. Thanks-a-mundo for the blog post.Really thank you!

  55. Regards for this post, I am a big big fan of this internet site would like to proceed updated.

  56. I am so grateful for your blog post.Thanks Again. Want more.

  57. Say, you got a nice blog post.Much thanks again. Will read on

  58. Enjoyed every bit of your post.Much thanks again. Cool.

  59. Thanks-a-mundo for the article post.Much thanks again. Fantastic.

  60. Pretty nice post. I just stumbled upon your blog and wanted to say that I ave truly enjoyed browsing your blog posts. After all I will be subscribing to your feed and I hope you write again very soon!

  61. diy says:

    Thanks for the article.Thanks Again. Cool.

  62. Ilona says:

    Looking forward to reading more. Great blog.Really looking forward to read more. Really Great.

  63. I cannot thank you enough for the blog post.Much thanks again. Cool.

  64. Evonne says:

    mac makeup sale cheap I think other site proprietors should take this site as an model, very clean and wonderful user friendly style and design, let alone the content. You are an expert in this topic!

  65. Im grateful for the article post.Much thanks again. Great.

  66. Kesha says:

    Thanks-a-mundo for the article post.Much thanks again. Really Great.

  67. Job says:

    Very neat blog post.Really thank you! Really Great.

  68. Great blog post.Really looking forward to read more. Really Cool.

  69. I reckon something really special in this internet site.

  70. Fantastic post.Really looking forward to read more.

  71. Artist says:

    I truly appreciate this article.Really looking forward to read more. Fantastic.

  72. YANMAR says:

    plumbing can really plumbing can really be a hardwork specially if you are not very skillfull in doing home plumbing.,

  73. This is one awesome article.Really thank you! Awesome.

  74. House Music says:

    I think this is a real great article.Thanks Again. Great.

  75. msp hack says:

    You ave made some good points there. I checked on the net to find out more about the issue and found most people will go along with your views on this website.

  76. Muchos Gracias for your article.Really thank you!

  77. It’а†s actually a nice and useful piece of info. I am satisfied that you shared this helpful info with us. Please stay us informed like this. Thanks for sharing.

  78. Im grateful for the blog article.Thanks Again. Much obliged.

  79. I’а†ve recently started a web site, the information you provide on this web site has helped me greatly. Thanks for all of your time & work.

  80. click here says:

    Muchos Gracias for your blog post.Much thanks again. Awesome.

  81. this website says:

    Wow! Thank you! I continuously needed to write on my website something like that. Can I include a fragment of your post to my blog?

  82. I think this is a real great blog post.Thanks Again. Will read on

  83. more info says:

    Wow, great blog post.Really looking forward to read more. Cool.

  84. This is a really great examine for me, Must admit that you are a single of the best bloggers I ever saw.Thanks for posting this informative article.

  85. Thank you for your blog post.Much thanks again. Cool.

  86. I really liked your blog article. Will read on…

  87. The pursuing are the different types of lasers we will be thinking about for the purposes I pointed out above:

  88. Wow, awesome weblog structure! How long have you ever been running a blog for? you make blogging look easy. The entire look of your web site is great, let alone the content!

  89. Wow, great blog article.Really thank you! Really Great.

  90. Really informative blog post.Much thanks again. Cool.

Leave a Reply

Your email address will not be published.