Question 1Calculate Sin(A+B) if SinA = 3/5 and CosB= 5/13 where A and B are acuteA.33/65B.48/65C.15/65D.63/65Objective Show full explanation
Question 2find tan x given that tan(x+45)=2A.√3/2B.1/3C.3/2D.2/√3Objective Show full explanation
Question 3if $$\frac{x+7}{(x+3)(x+4)} = \frac{m}{x+3} + \frac{n}{x-4}$$ What is 3n-4m?A.7B.5C.8D.6Objective Show full explanation
Question 4$$\frac{5x+12}{(x-2)(x-3)}$$ in partial fractionA.2/x - 3 + 3/x - 2B.2/x - 2 + 3/x - 3C.1/x - 3 + 2/x + 2D.2/x - 2 + 3/x - 3Objective Show full explanation
Question 6find the co-ordinate of the minimum point for the equation y=4t2-40t+300A.(15,100)B.(5,200)C.(4,100)D.(4,300)Objective Show full explanation
Question 7find the variance of the numbers K,K+,1,K+2,A.2/3B.1C.K+1D.(K+1)2Objective Show full explanation
Question 8find the positive value of x if the standard deviation of the number 1,x+1,2x+1 is 6A.1B.12C.3D.4Objective Show full explanation
Question 9what is the order of evolution of the following animals A-Rattus rattusB-Agama agamaC-Bufo regularisD. Tilapia zilliA.d→c→b→aB.d→b→a→cC.c→b→a→dD.b→c→d→aObjective Show full explanation
Question 10which of the following is likely to have a higher concentration of mitochondria?A.white blood cellB.egg cellC.sperm cellD.red blood cellObjective Show full explanation
Question 11which of these diseases is not caused by virus?A.maize rustB.render pestC.new castleD.cassava mosaicObjective Show full explanation
Question 12metabolic production of urea is carried out in theA.kidneyB.pancreasC.liverD.spleenObjective Show full explanation
Question 13if a nursing mother is not producing enough milk, her hormonal system is probably deficient in A.prolactinB.oestrogenC.insulinD.thyroxineObjective Show full explanation
Question 14nervous control differs from hormonal control in that the formerA.is a slower processB.involves only chemical reactionC.produces short term changesD.has no specific pathwayObjective Show full explanation
Question 15the two key cations involved in the action potential of nervous transmissions are A.mg2+ and K+B.Na+ and Fe2+C.Na+ and K+D.Na+ and Mg2+Objective Show full explanation
Question 16a boy who is fond of swimming in a pond finds himself passing urine with traces of blood. he is likely to have contactedA.onchocerciasisB.poliomyelitisC.tetanusD.schistomiasisObjective Show full explanation
Question 17the presence of a large number of mitochondria in a cell indicates that A.it has little cytoplasmic contentB.the cell is dormantC.the cell is very activeD.the respiration is poorObjective Show full explanation
Question 18if the cerebellum of a person is slightly damaged, which of the following will be impaired?A.visionB.walkingC.digestionD.breathingObjective Show full explanation
Question 19herbs differs from shrubs because they A.are only perennialsB.useful to herbalistC.do not produce fruitsD.do not become woodyObjective Show full explanation
Question 20which of the following represents the evolutionary sequence in these plants?I. mango plantsii. mossesiii. spirogyra1v. fernsv. whistling pineA.iii,ii,iv and iB.iii,iv,v,i and iiC.ii,iv,i,ii and vD.iv, ii, iii, v and iObjective Show full explanation
Question 21by which process in man does oxygen pass from alveoli of the lungs into the blood? A.excretionB.osmosisC.diffusionD.transpirationObjective Show full explanation
Question 22the aspects of growth in living organisms include all the following processes exceptA.reversible increase in sizeB.increase in dry weightC.increase in number of cellsD.irreversible increase in lengthObjective Show full explanation
Question 23which of the excretory product is not found in mammalsA.carbon dioxideB.mineral saltC.ammoniaD.ureaObjective Show full explanation
Question 24which of the following organism is a producer A.yeast B.fungusC.rhizopusD.spirogyraObjective Show full explanation
Question 25changes in energy floe between organisms in a habitat can be represented by actionA.pyramid of biomassB.flow chairC.food webD.pyramid of energyObjective Show full explanation
Question 26important abiotic factors which affect all plant and animals in the habitat areA.rainfall and relative humidityB.temperature and rainfallC.salinity and relative humidityD.temperature and turbidityObjective Show full explanation
Question 27which of the following factors may not affect living organisms in an aquatic habitat?A.lightB.turbidityC.pHD.humidityObjective Show full explanation
Question 28which of the following is not an evidence of evolution?A.anatomyB.geneticsC.behaviourD.fossilsObjective Show full explanation
Question 29what mass of sodium hydroxide is required to make cm3 of 0.2m solution? (Na=23,O=16,H=1)A.20gB.10gC.4gD.2gObjective Show full explanation
Question 30calculate the current that must be passed into a solution of chromium (III) salt for one hour in order to deposit 1.2g of chromium (Cr=51)A.3.50amperesB.2.30amperesC.1.89amperesD.1.52amperesObjective Show full explanation
Question 31From the equation, calculate the mass of calcium hydroxide needed to react with 50g of ammonium chloride2NH4+Ca(OH)2 → 2NH3+CaCl2+2H2OHA.20.00gB.34.57gC.75.10gD.42.13gObjective Show full explanation
Question 320.0075mole of calcium trioxocarbonate (iv) is added to 0.015 mole of a solution of hydrochloric acid. the volume of gas evolved at s.t.p is(molar volume of gas at s.t.p=22.4dm3)A.224cm3B.168cm3C.112cm3D.100cm3Objective Show full explanation
Question 33what is the general formula of carbohydratesA.CnH2nOnB.Cx(H2O)yC.C6H10O5D.C6H12O6Objective Show full explanation
Question 34a neutral water molecules (H2O) has an electric dipole moment of 6.2×10-30 c.m, how far apart are the molecules centres of positive and negative charge?A.4.9pMB.2.9pMC.3.9pMD.1.9pMObjective Show full explanation
Question 35find the angle between P and E when the torque on dipole is a maximumA.180°B.90°C.45°D.30°Objective Show full explanation
Question 36an electron in the atmosphere is moved upward through displacement 520m by an electrostatic force due to an electric field 150N/C. take the charge on the electron to be 1.6×10-19C. calculate the work done on the electronA.-1.2×10-14JB.1.2×10-14JC.1.6×10-16JD.-1.6×10-16JObjective Show full explanation
Question 37choose the correct statementA. electric potential is scalarB. electric potential is vectorC. electric potential is neither a scalar nor a vectorA.a and bB.bC.a D.b and cObjective Show full explanation
Question 38which country has just produced the fastest moving train in the world A.U.S.AB.GermanyC.ChinaD.JapanObjective Show full explanation
Question 39the full meaning of WWW in internet surfing isA.wide wide webB.world wide webC.wide world webD.world web wideObjective Show full explanation
Question 40who was the Nigeria's eight military rulerA.Olusegun ObasanjoB.Muhammadu BuhariC.Abdulsalam AbubakarD.Sanni AbachaObjective Show full explanation
Question 41the accepted concept for the theory of natural selction does not include A.tendency for organism to overproduceB.struggle for existenceC.survival of the fittestD.use and disuse of body partsObjective Show full explanation
Question 42which of the following pair of structure does not perform the similar functionA.lungs and spiraclesB.root hair and mammalian hairC.feathers and scalesD.contractile vacuoleObjective Show full explanation