The document contains 40 multiple choice math questions covering topics like algebra, trigonometry, logarithms, and probability. The questions test skills like solving equations, finding zeros, determining probabilities, evaluating logarithmic and trigonometric expressions, and more. The questions range in difficulty from basic to more advanced.

1. 1
4th
Year Orals– EASY
1. What are the coordinatesof the vertex of the parabolay= - x2
+ 6x? [ (3, 9) ]
2. What isthe periodof the graph y= 2 + 3sin (x/3)? [ 6 ]
3. The circumference of the circle isnumericallyequal toitsarea.Findthe diameter. [4 ]
4. If 4x
+ 41 + x
= 80, whatis x? [ 2 ]
5. What isthe value of sin75cos45 + cos75sin45? [
2
3
]
6. Solve forx:logx64 = 2 [ 8 ]
7. If x – 2 isa factor of f(x) =x3
+ kx2
+ 1, what isx? [ - 2 ]
8. How manyintegersare there betweenlog23andlog2100? [ 100 ]
9. If 

2
2
3
 , findthe radian measure of of cos  = sin
3
2
. [
6
11
]
10. A card is drawnfroma standarddeckof card. What isthe probabilitythatiseitheraqueenof a spade?
[ 4/13 ]
11. For whatvaluesof x is3x2
+ 2x – 8 > 0? [ x < - 2 or x > 4/3 ]
12. What isthe remainderwhen2x3
–5x2
+ 4x – 3 is dividedbyx – 3? [ 18 ]
13. Write log8(1/64) = - 2 in exponentialform. [8-2
= 1/64 ]
14. Solve forx: log3(x +2)2
= 4 [ 7, - 11 ]
15. Express1 + 2log 3 as one logarithm. [ log 90 ]
16. The half – life of a substance is75 years.How much isa 100 – g substance remainsafter375 years?
[ 3.125 g ]
17. What islog432? [ 5/2 ]
18. If the terminal pointof anarc of length liesjoiningthe originand(-3,5),whatis cos ? 






34
343
19. What isthe periodof y= tan (3x/2)? [ 2/3 ]
20. If p(x) = 2x3
– 3x + 5 is dividedbyx – 2, what isthe remainder? [15 ]
21. In the geometricsequence 3/2, - ¾, 3/8, - 3/16, …, whatis the 4th
negative term? [- 3/256 ]
22. A 2 x 2 x 2 cube iscut into8 unitscube.What fractionof the total surface areaof the cubesis painted?
[ ½ ]
23. Two dice are rolled.Whatisthe probabilityof gettingasumgreaterthan 7? [ 15/36 ]
24. A kite stringmakesanangle of 600
withthe horizontal.If a stringis200 m and kepttaut,how highis the
kite? [ 3100 m ]

2. 2
25. How far fromthe centeris the chord 10 cm if the radiusis 15 cm? [ 10 2 cm ]
26. If 3x
– 3x – 1
= 162, what isx? [ 5 ]
27. What isthe value of 216log2 ? [ 9/2 ]
28. If f(x) = 7 – 4x,findg(x) suchthat f(g(x)) =x. [ g(x) = (7 – x)/4 ]
29. If x75
- 3x50
+ 7x25
+ 5 isdividedbyx – 1, whatisthe remainder? [- 6 ]
30. In whichquadrant is P() lie if = 67/6? [ Q3 ]
31. What isthe minimumvalue of y= x2
– 2x – 7 ? [ - 8 ]
32. For whatvalue of k is x3
– 4x2
+ kx – 5 divisible byx + 1? [ - 10 ]
33. The radiusof a circle is 6 cm. How longis the chord thatis 4 cm fromthe center? [ 4 5 cm ]
34. In rolling2dice,whatis the probabilityof gettingasumof 7? [ 1/6 ]
35. What isthe minimumvalue of 4x
+ 4-x
? [ 2 ]
36. If x-3
= 1/625, whatis x? [ 53/4
]
37. If 4x
– 2x+1
= 48, whatisx? [ 3 ]
38. What are the zerosof y = log3 x2cos ,0 < x < 3600
? [ 1800
]
39. Find2 positive rationalnumberwhose sumis5/6 and whose difference isequal toitsproduct. [1/2 and
1/3]
40.