Question 1Each interior angle of a regular polygon is 7 times the corresponding exterior angle. How many sides has the polygonA.14B.16C.18D.28Objective Show full explanation
Question 2A chord of a circle of radius, 6cm subtends angle 150° at the center of the circle. Find the areas of the minor segment correct to three significant figures.A.38.1cm2B.38.2cm2C.38.3cm2D.38.4cm2Objective Show full explanation
Question 3A goat is tethered to a pole by a rope 21cm long. Calculate the area of grazing available to the goatA.132cm2B.683cm2C.1386cm2D.2772cm2Objective Show full explanation
Question 5A cyclist starts from a point P and move on a course 060° for 72 meters. He then moves 26 meters southwards. How far north is he now from point P?A.46mB.36mC.23mD.10mObjective Show full explanation
Question 6The gradient of the curve y = x2 + 4x at the point (2,10) isA.0B.8C.12D.24Objective Show full explanation
Question 7If y = x-3/2, then dy/dx isA.-2⁄3x-1⁄2B.-3⁄2x-1⁄2C.-2⁄3x-5⁄2D.-3⁄2x-5⁄2Objective Show full explanation
Question 8The turning point on the curve y = 4x – x2 is aA.minimum at x = 2B.maximum at x = 2C.minimum at x =- 2D.maximum at x = -2Objective Show full explanation
Question 9Evaluate (Cos 3x + sin 4x)dxA.1⁄3 sin 3x + 1⁄4Cos 4x + kB.1⁄3 sin 3x – 1⁄4Cos 4x + kC.3sin x + 4 Cos x + kD.sin3 x + Cos4 x + kObjective Show full explanation
Question 11In class of 80 students, there are 8 boys to every 2 girls. If this information is represented on a pie chart, what angle corresponds to the girls?A.288°B.270°C.90°D.72°Objective Show full explanation
Question 12The bar chart is series of bars and columns with each height proportional to theA.highest frequency of the distributionB.lowest frequency of the distributionC.modal frequency of distributionD.frequency of distributionObjective Show full explanation
Question 14Given that standard deviation of a set of data is 3.6, what is the variance of the data?A.1.90B.7.26C.12.96D.36.00Objective Show full explanation
Question 15The value of nCr is the same as the value ofA.r!(nPr)B.1⁄r! (nPr)C.(n-r)!(nPr)D.1⁄n-r! (nPr)Objective Show full explanation
Question 16How many arrangements are there of all the letters of the word LETTER?A.24B.96C.180D.720Objective Show full explanation
Question 17A fair die is thrown once. The probability of the result being prime number isA.1⁄3B.1⁄2C.2⁄3D.5⁄6Objective Show full explanation
Question 18A bag contains 12 similar balls 5 of which are yellow, 4 red, and the rest black, if a ball is picked at random, what is the probability that it is not black?A.1⁄2B.3⁄5C.2⁄3D.5⁄6 Objective Show full explanation