Practice Math Challenge Questions for 4th Year – Orals
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These series of questions are carefully made to check the readiness of a child to take the division final – orals. Try to time yourself according to the category given. Set a maximum point and check if you were able to beat yourself at the end of the quiz. Have fun and enjoy.
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Question 1 of 20
1. Question
2 pointsCategory: EasyABCD is a quadrilateral inscribed in a circle. $latex \angle{A} = x$ and $latex \angle{C} =3x$. How many degrees is $latex \angle{A}?$
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Question 2 of 20
2. Question
2 pointsCategory: EasyWhat is the maximum of $latex y=16x^2$
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Question 3 of 20
3. Question
2 pointsCategory: Easycos15° = $latex \displaystyle\frac{\sqrt{a}+\sqrt{b}}{c}$. Find a+b+c.
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Question 4 of 20
4. Question
2 pointsCategory: EasyThe area of hexagon with side 4 can be expressed in the form of $latex a\sqrt{b}$ What is a+b?
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Question 5 of 20
5. Question
2 pointsCategory: EasyThe sum of x and y is 10. If x is 2 more than y. What is 2x+y?
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Question 6 of 20
6. Question
2 pointsCategory: EasyIf $latex x^2+3x1=0$ what is the value of $latex x^2 +\displaystyle\frac{1}{x^2}$?
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Question 7 of 20
7. Question
2 pointsCategory: EasyWhat is the numerical coefficient of the 2^{nd} term in the expansion of $latex (x2y)^5$?
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Question 8 of 20
8. Question
2 pointsCategory: EasyFind a quadratic equation with integral coefficients if one root is $latex \sqrt{3}$
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Question 9 of 20
9. Question
2 pointsCategory: EasyABCD is a square inscribed in a circle with diameter 8. What is the area of the square in sq. units?
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Question 10 of 20
10. Question
2 pointsCategory: EasyWhat is the sum of the roots of equation $latex 52xx^2=0?$
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Question 11 of 20
11. Question
3 pointsCategory: AverageIf $latex f(x) = 2014x^2014+2013x^2013 +2012x^2012+\ldots+3x^3+2x^2+1$ what is the value of f(1)?
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Question 12 of 20
12. Question
3 pointsCategory: Average If $latex 4sin^2x1=0$ what is the value of x in degrees in the interval [90°,180°]
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Question 13 of 20
13. Question
3 pointsCategory: Average Sam tossed 3 dice, what is the probability of getting a sum of 17 given that the first die showed 6.
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Question 14 of 20
14. Question
3 pointsCategory: AverageEvaluate $latex \sqrt{2+\sqrt{2+\sqrt{2+\sqrt{2+\ldots}}}}$
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Question 15 of 20
15. Question
3 pointsCategory: AverageCircles A and B have radii 5 and 7, respectively, and the distance between their centers A and B is 6. If the two circles intersect at points M and N, $latex MN=a\sqrt{b}$ What is a+b?
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Question 16 of 20
16. Question
5 pointsCategory: DifficultSolve for x: $latex x^37x+6=0$
( use comma(,) to separate your answer example: a,b,c and make sure to arrange it from least to greatest )
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Question 17 of 20
17. Question
5 pointsCategory: DifficultJohn can row in the river downstream 20 km in 2 hours and went back in 5 hours. What is the rate of John in kph?
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Question 18 of 20
18. Question
5 pointsCategory: DifficultGiven that log3 = 0.477, how many digits are there if we expand $latex 9^{50}$?
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Question 19 of 20
19. Question
5 pointsCategory: DifficultABC is an isosceles triangle, AB=BC=6. $latex \angle{ABC}=120$. $latex \overline{AC}=a\sqrt{b}$. What is a+b?
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Question 20 of 20
20. Question
5 pointsCategory: DifficultFind the equation of a perpendicular bisector of points (2,3) and (4,1). Express your answer in ax+by+c=0.
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