4th year Practice Math Challenge Questions and Answers Part II

Direction: Write all equation of the line in standard form.              Time: 1 hour

1. What is the greatest integer function of 4.6?

2. The sum of the complement and twice the supplement of an angle is 111°. What is the angle?

3. What is the period of y=tan2x?

4. What is the range of y=log(x^2 – 4)?

5. Find the equation of the line though (2,-3) and perpendicular to 3x-4y-1=0.

6. A pair of fair dice is toss once, what is the probability of getting a prime sum?

7. PT is tangent to circle O and a secant intersect the same circle at points A and B.PT = X , PB=9, PA=(x-2). How long is PT?

8. Find the equation of the line with slope of ½ and x-intercept of 3.

9. The line x-2y+1=0 intersect the circle x2+y2=28 at two points. What the slope of the line joining these two points?

10. Solve for n: (23n)(4n)=(1/2)n-4

11. What is the inverse function of y=log4(x-2)?

12. In a math contest represented by different schools, each school sent 3 participants; everyone has to make a handshake with each other. If there were 105 handshakes happened. How many schools participated in the said contest?

13. What is the maximum number of diagonals can be drawn in a regular dodecagon?

14. The minimum value of y=2x2+kx+3 is 1. What is/are the value(s) of K?

15. I have two sticks with lengths of 6 cm and 10 cm. I have a third stick measuring 20 cm. If I want to create the largest triangle out of three sticks. How long will I need to cut off from the third stick?

16. What is the median of the following data? {82,89,85,90,93,96,89,88}

17. For what value(s) of y is the graph of y=16-x2  above x-axis?

18. Evaluate: 8+4+2+1+. . . . .

19. The area of the rectangle is 4 more than its perimeter. If the length is 2 more than the width. What is the dimension in meters?

20. What is the positive root of 2x2-x-3=0?

21. Three of the roots of the equation 2x4+ax2+bx+c=0 are -1, 2, and -3. What is b?

22. How many pairs of positive integral solution in  x+y=10?

23. A regular hexagon is inscribed in a circle. Another regular hexagon circumscribes the same circle. What is the ratio of the area of the smaller hexagon to hexagon circle?

24. How long after 3 o’clock will the minute hand and hour hand be together for the first time?

25. 5 fair dice is toss once, what is the probability that exactly three four’s will show up?

Click here for answer key

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...

Leave a Reply

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