Practice Math Challenge Question for 3rd Year – Orals

This is not the official reviewer. These questions are just created to test the readiness of your child, student or you yourself. Please leave a comment below for us to improve the site.

Easy Round – 2 points

  1. How many diagonals does regular nonagon have?     [27]
  2. The interior angle of a regular polygon is 170°. How many sides does the polygon have?     [36]
  3. What is the larger value of x in x^2-x-6=0?     [3]
  4. Adjacent sides of a triangle are 6 and 7. What is the maximum length of the third side if it is an integer value?     [12]
  5. What is the area in square centimeter of a kite with diagonals measuring 20 cm and 10 cm?     [100]
  6. What is the last two digit of 5^{2013}?     [25]
  7. Find the equation of the line with 2 and 3 as its x- and y-intercept respectively     [3x+2y-6=0]
  8. What is the geometric mean of 3 and 27?     [9]
  9. What is the area of a triangle with side 6 cm?    [9\sqrt{3} cm^2]
  10. The perimeter of rectangle is 24 cm. The length is twice the measure of the width. What is the dimension of the rectangle?     [4cm x 6 cm]

Average Round – 3 points

  1. The ball rolled for a distance of 32 cm in the first second, 16 cm after second seconds, 8 cm in the third seconds and so on. What the distance that the ball travelled before it stops?     [64cm]
  2. In triangle ABC, \angle{A} = 2\angle{B} = 3\angle{C}. What is the measure of \angle{B} in degrees?    [54]
  3. ABC is a right triangle with right angle at B. AB=3, BC=4 and AC=5. D is on AC such that AD=DC. How long is BD?     [5/2 or 2.5]
  4. For what value/s of k does the line kx-9y-1=0 is perpendicular to (k-12)x+4y-6=0?     [6]
  5. Segment AB is divided by P such that AP:BP = 1:3, point A is on (3,1) and B is on (7,5) what is the coordinate of point P?     [(4,2)]

Difficult Round – 5 points

  1. The sum of the squares of two numbers is 4 and their product is 9. What is the square of the sum of the numbers?     [22]
  2. ABCD is an isosceles trapezoid with \overline{BC} parallel to \overline{AD} and  \angle{A} = 60°. \overline{BC}= 6 cm and \overline{AD} =10 cm. What is the area of the trapezoid in square centimeter?     [16√3]
  3. 20! = 20x19x18x17x…x2x1 has k zeroes at the end of it. What is the value of k?    [4]
  4. Find the surface area of the cube in cm2 with a volume equivalent to a rectangular prism with dimension 8cm by 16 cm by 32cm.    [1536]
  5. Find the area of a circle inscribed in a triangle with sides 5,12,13 in cm. Give the answer in terms of π.     [ 4π sq. cm]


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...

4 Responses

  1. rancho chanchad says:

    naay solution

  2. Marin says:

    I keep listening to the reports speak about getting free online grant applications so I have been looking around for the best site to get one. Could you tell me please, where could i get some?

  3. Hmm it seems like your website ate my first comment (it was extremely long) so I guess I’ll just sum it up what I submitted and say, I’m thoroughly enjoying your blog. I as well am an aspiring blog writer but I’m still new to the whole thing. Do you have any tips and hints for first-time blog writers? I’d really appreciate it.

  4. Hymar says:

    The answer for easy round #10 is incorrect. It should be 4cm by 8cm.

Leave a Reply

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