Question 1If $$Sin\theta = \frac35$$, find tanθ for 0° < θ <90°A.4/5B.3/4C.5/8D.1/2Objective Show full explanation
Question 2A rectangle lawn of length (x = 5) metres id (x -2) metres wide,If the diagonal is (x = 6) metres, Find the positive value of xA.7B.4C.12D. 2Objective Show full explanation
Question 3The value of the expression 2Ax - Kx2 is 7 when x = 1 and 4 when x = 2. Find the values of the constant A and K.A.2B.3C.4D.5Objective Show full explanation
Question 4If t varies inversely as the cube of s and t = 24, when s = 3, find t when s = 2A.8B.24C.27D.81Objective Show full explanation
Question 5A hollow sphere has a volume of kcm2. Calculate the diameter of the sphereA.3cmB.6cmC.9cmD.12cmObjective Show full explanation
Question 6Simplify log2$$(\frac{27}4)$$ - log2$$(\frac98)$$ + log2$$(\frac1{24})$$A.-5B.-4C.-3D. -2Objective Show full explanation
Question 8If y = x2 - $$\frac1x$$, find $$\frac{dy}{dx}$$A.2x + 1/x2B.2x + x2C.2x - 1/x4D.2x - x2Objective Show full explanation
Question 9At what value of x is the function x2 + x + 1 minimumA.-1B.-1/2C.1/2D.1Objective Show full explanation
Question 11when a velocity-time graph is a curve it means that we have ..........A.a uniform accelerationB.a non-uniform accelerationC.a uniform velocityD.a non-uniform velocityObjective Show full explanation
Question 12a ball of mass 1kg falls from a height of m and rebounds to a height of 2m after striking a horizontal surface. calculate the loss in energy due to impact (take=10ms-2)A.100jB.50jC.10jD.1jObjective Show full explanation
Question 13a projectile attains a maximum rage of 40m when g=10ms-2. calculate the velocity of projectionA.400ms-1B.80ms-1C.20ms-1D.10ms-1Objective Show full explanation
Question 14a ball of mass 10kg strikes a wall normally with a velocity 5ms-1 and travels back with velocity.calculate its impulse on the wallA.0B.25ms-1C.50ms-1D.100ms-1Objective Show full explanation
Question 15calculate the velocity of the wave represented by the following wave represented by the following wave equation y= 20sin(60πx-0.5πx) if all the distance are in metersA.30ms-1B.60ms-1C.80ms-1D.100ms-1Objective Show full explanation
Question 16the following are stringed instruments except ...........A.violinB.pianoC.guitarD.xylophoneObjective Show full explanation
Question 17if two 2µF capacitors are connected in paralleled with each other and the other combination is then connected in series with 4µF capacitor the net capacitance will be .......A.6.0µFB.4.0µFC.2.0µFD.0.2µFObjective Show full explanation
Question 18The limiting fraction force on a body of mass 4kg resting on an inclined plane is 20N. what is the angle of inclination on the planet? A.75°B.65°C.45°D.30°Objective Show full explanation
Question 18effervescence occurs when water comes in contact with ............A.calciumB.copperC.sulphurD.leadObjective Show full explanation
Question 19Given a body underground circular motion with angular velocity, ω rad/s, and radius rm. Suppose the body has mass, mkg. then it will experience a centripetal force F of the formA.mωr2B.mω2rC.mω2r2D.mωr2Objective Show full explanation
Question 20What is the efficiency of a cell with internal resistance of 3&Ohm;, when is supplies current of 7Ω resistor?A.70%B.30%C.20%D.10%Objective Show full explanation
Question 21which of the following compounds is not obtained by polymerization?A.plasticB.polytheneC.petroleumD.celluloseObjective Show full explanation
Question 22A specimen of zinc contained zinc oxide 0.80g of this specimen reacted type equation here with acid to give 215cm3 of hydrogen collected dry at 17c and 770mmHg. Calculate the percentage of zinc oxide in the mixture. {32.5g = zn, 1g =H}A.15%B.25%C.35%D.45%Objective Show full explanation
Question 23A measure of the degree of disorderliness in a chemical system is known asA.enthalpyB.entropyC.free energyD.activation energyObjective Show full explanation
Question 24Cr2O72 + 6Fe2+ → 2Cr3+ + 6FE+ + 7H2OA.+7 to +3B.+6 to +3C.-6 to +3D.-2 to +6Objective Show full explanation
Question 25which of the following metals will dissolve in aqueous sodium hydroxide?A.calciumB.copperC.aluminiumD.ironObjective Show full explanation
Question 26the components present in the alloy used for welding and plumbing are A.lead and tinB.lead and antimonyC.iron and aluminiumD.copper and tinObjective Show full explanation
Question 2715cm3 of gaseous hydrogen required for the complete combustion of 75 cm3 of oxygen and yielded 45cm3 of carbon(iv)oxide. Calculate the hydrocarbonA.CH4B.C2H6C.C3H8D.C4H10Objective Show full explanation
Question 28which of the following reagents can be used to differentiate alkanals from alkanones?A.hydrogen cyanideB.sodium hydrogen C.fehlings reagentsD.2,4 dihydrophenylhydrazineObjective Show full explanation
Question 29the products of photochlorination of ethanoic acid are ..........A.CH3OOCL+HCLB. CH3COCL+HOCLC.CLCH2COCL+HCLD.CLCH2+HCLObjective Show full explanation
Question 30what are the products of the reaction between ethyl ethanoate and ammonia ...........A.aminoethane and ethanol B.aminoethane and propan-1-olC.ethanamide and ethanolD.methanamide and propa-1-olObjective Show full explanation
Question 30which of the following quantities has the same unit as the product of pressure and volume of a gas?A.powerB.accelerationC.workD.forceObjective Show full explanation
Question 30charring of sugar occurs when water comes in contact with ........A.reducedB.hydrolysedC.dehydrated D.fermented Objective Show full explanation