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**MATHS 7AM**

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**Question**

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**1 :- Integrate sin (2x + 1) with respect x **

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**CORRECT ANSWER = -1/2 COS (2X+1)+C**

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**2 :- From the diagram above, determine the distance between the points P and Q **

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**CORRECT ANSWER = D =SQUARE ROOT 34 UNITS**

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**3 :- If A = [1,2,1 -1,0,4 0,1,3], evaluate |A| **

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**CORRECT ANSWER = 1**

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**4 :- Find interior angles of a regular polygon having 10 sides **

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**CORRECT ANSWER = 144 DECREE**

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**5 :- The letters in the word INTERNATIONAL are cut out and put into a basket. A letter is chosen at random What is the probability that it is N or A or I or T **

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**CORRECT ANSWER = 8/13**

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**6 :- Convert 11101 base 3 to base 10 **

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**CORRECT ANSWER = 118**

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**7 :- Evaluate without using tables tan 60 degree tan 30 degree / tan 45 degree **

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**CORRECT ANSWER = 1**

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**8 :- From the above figure, the equation of the locus is **

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**CORRECT ANSWER = X RAISE TO POWER 2 = Y RAISE TO POWER 2 =36**

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**9 :- Given that energy E varies directly as resistance R and inversely as square of distance d, obtain an equation connecting E,R and d **

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**CORRECT ANSWER = E =KR/D RAISE TO POWER 2**

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**10 :- Find the solution sets of the inequality x power 2 - x - 6 < 0 **

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**CORRECT ANSWER = -2**

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**11 :- If M = {all perfect squares less than 40} and N = {all odd numbers from 1 to 10}, Find M n N **

**11 :- If M = {all perfect squares less than 40} and N = {all odd numbers from 1 to 10}, Find M n N**

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**CORRECT ANSWER = {1,9}**

**CORRECT ANSWER = {1,9}**

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**12 :- Given that P = {x Z | -3 < x < or = 10} and Q = {x Z| -5< or = x < 6}, find P = Q? **

**12 :- Given that P = {x Z | -3 < x < or = 10} and Q = {x Z| -5< or = x < 6}, find P = Q?**

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**CORRECT ANSWER = 6 < or = x < or = 10**

**CORRECT ANSWER = 6 < or = x < or = 10**

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**13 :- The mean of 3 + 2y, -y, 2y - 1, y + 1 and y + 1 and y + 2 is **

**13 :- The mean of 3 + 2y, -y, 2y - 1, y + 1 and y + 1 and y + 2 is**

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**CORRECT ANSWER = 1 + y**

**CORRECT ANSWER = 1 + y**

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**14 :- Find the total number of possible arrangement of the letters of the word DOCUMENT **

**14 :- Find the total number of possible arrangement of the letters of the word DOCUMENT**

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**CORRECT ANSWER = 40320**

**CORRECT ANSWER = 40320**

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**15 :- Determine**

**15 :- Determine**

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**CORRECT ANSWER = 85 degree**

**CORRECT ANSWER = 85 degree**####
**16 :- The length of an arc of a circle is 5 pie / 3 Calculate the angle substended at the centre if the radius is 20cm **

**16 :- The length of an arc of a circle is 5 pie / 3 Calculate the angle substended at the centre if the radius is 20cm**####
**CORRECT ANSWER = 15 degree**

**CORRECT ANSWER = 15 degree**####
**17 :- Solve for x in the equation 3x +3x1 - x = 3 power 4 **

**17 :- Solve for x in the equation 3x +3x1 - x = 3 power 4**####
**CORRECT ANSWER = 0,1**

**CORRECT ANSWER = 0,1**####
**18 :- The equation of the line perpendicular to 4x - 3y +7 = 0 which passes through the origin is **

**18 :- The equation of the line perpendicular to 4x - 3y +7 = 0 which passes through the origin is**####
**CORRECT ANSWER = 4y + 3x = 0**

**CORRECT ANSWER = 4y + 3x = 0**####
**19 :- Given that y x power 2, If y = 10 when x = 3, find the value of y when x = 1/2. **

**19 :- Given that y x power 2, If y = 10 when x = 3, find the value of y when x = 1/2.**####
**CORRECT ANSWER = 5/18**

**CORRECT ANSWER = 5/18**####
**20 :- The table above shows the number of students who obtained different marks out of 10, calculate the mean of the distribution **

**20 :- The table above shows the number of students who obtained different marks out of 10, calculate the mean of the distribution**####
**CORRECT ANSWER = 4.5**

**CORRECT ANSWER = 4.5**####
**21 :- Simplify 4x power 3 y x (3xy) power 3 **

**21 :- Simplify 4x power 3 y x (3xy) power 3**####
**CORRECT ANSWER = 4x/9y**

**CORRECT ANSWER = 4x/9y**####
**22 :- Find the range of the following data: 1,7,2,3,10,8 and 5 **

**22 :- Find the range of the following data: 1,7,2,3,10,8 and 5**####
**CORRECT ANSWER = 9**

**CORRECT ANSWER = 9**####
**23 :- The pie chart above shows the budget allocation of a Local Government Council N53,100,000.00 is allocated to Agriculture, what is the budget for the council **

**23 :- The pie chart above shows the budget allocation of a Local Government Council N53,100,000.00 is allocated to Agriculture, what is the budget for the council**####
**CORRECT ANSWER = 216,000,000**

**CORRECT ANSWER = 216,000,000**####
**24 :- If x * y = xy + x + y, solve the equation x * 3 = 19 **

**24 :- If x * y = xy + x + y, solve the equation x * 3 = 19**####
**CORRECT ANSWER = 4**

**CORRECT ANSWER = 4**####
**25 :- Differentiate y = x power 2 - 4x + 5 **

**25 :- Differentiate y = x power 2 - 4x + 5**####
**CORRECT ANSWER = 2x - 4**

**CORRECT ANSWER = 2x - 4**####
**26 :- Given 9,27,81? find the sum of the first 5 term **

**26 :- Given 9,27,81? find the sum of the first 5 term**####
**CORRECT ANSWER = 1089**

**CORRECT ANSWER = 1089**####
**27 :- From the figure above, the area of shaded portion is **

**27 :- From the figure above, the area of shaded portion is**####
**CORRECT ANSWER = Negative**

**CORRECT ANSWER = Negative**####
**28 :- A shopkeeper sold 1/6 of a packet of chocolate to Mrs Pedro and 1/2 of the remainder to Mrs Buhari. What fraction was sold to Mrs Buhari **

**28 :- A shopkeeper sold 1/6 of a packet of chocolate to Mrs Pedro and 1/2 of the remainder to Mrs Buhari. What fraction was sold to Mrs Buhari**####
**CORRECT ANSWER = 5/12**

**CORRECT ANSWER = 5/12**####
**29 :- Out of 5 masters and 4 boys a committee of 6 is to chosen. In how many ways can it be done when there are 3 masters on the committee? **

**29 :- Out of 5 masters and 4 boys a committee of 6 is to chosen. In how many ways can it be done when there are 3 masters on the committee?**####
**CORRECT ANSWER = 40**

**CORRECT ANSWER = 40**####
**30 :- If the determinant of [-4,p 5,7] is 2, find p **

**30 :- If the determinant of [-4,p 5,7] is 2, find p**####
**CORRECT ANSWER = -6**

**CORRECT ANSWER = -6**####
**31 :- The fourth term of an Arithmetic Progression is 37 and 6th term is 12 more than the fourth term. Find the common difference **

**31 :- The fourth term of an Arithmetic Progression is 37 and 6th term is 12 more than the fourth term. Find the common difference**####
**CORRECT ANSWER = 6**

**CORRECT ANSWER = 6**####
**32 :- A boy 70cm tall was standing 100cm away from the foot of a tree. If the angle of elevation of the tree from the boy is 45 degree, calculate the height **

**32 :- A boy 70cm tall was standing 100cm away from the foot of a tree. If the angle of elevation of the tree from the boy is 45 degree, calculate the height**####
**CORRECT ANSWER = **

**CORRECT ANSWER =**####
**33 :- Find the reminder when 4x power 3 - 8x + 1 is divided by 2x + 1 **

**33 :- Find the reminder when 4x power 3 - 8x + 1 is divided by 2x + 1**####
**CORRECT ANSWER = 3/2**

**CORRECT ANSWER = 3/2**####
**34 :- How much will N25,000.00 amount to at 8% simple interest over 10 years? **

**34 :- How much will N25,000.00 amount to at 8% simple interest over 10 years?**####
**CORRECT ANSWER = N45,000**

**CORRECT ANSWER = N45,000**####
**35 :- Factorize 2x power 2 - 3x - 5 **

**35 :- Factorize 2x power 2 - 3x - 5**####
**CORRECT ANSWER = (x + 1) (2x - 5)**

**CORRECT ANSWER = (x + 1) (2x - 5)**####
**36 :- Express the square of 110 base 2 in binary **

**36 :- Express the square of 110 base 2 in binary**####
**CORRECT ANSWER = (100100) base 2**

**CORRECT ANSWER = (100100) base 2**####
**37 :- If (3x - 1) is a factor of 9x power 4 - kx power 3 + 3x -1, find the value of K **

**37 :- If (3x - 1) is a factor of 9x power 4 - kx power 3 + 3x -1, find the value of K**####
**CORRECT ANSWER = 1**

**CORRECT ANSWER = 1**####
**38 :- Find the value of **

**38 :- Find the value of**####
**CORRECT ANSWER = **

**CORRECT ANSWER =**####
**39 :- Evaluate 0.0003/0.0024 leaving your answer in standard form **

**39 :- Evaluate 0.0003/0.0024 leaving your answer in standard form**####
**CORRECT ANSWER = 1.25 x 10 power -1**

**CORRECT ANSWER = 1.25 x 10 power -1**####
**40 :- WXYZ is a cyclic quadrilateral and the diagonals WY and XZ intersect at G. If**

**40 :- WXYZ is a cyclic quadrilateral and the diagonals WY and XZ intersect at G. If**

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**CORRECT ANSWER = 28 degree**

**CORRECT ANSWER = 28 degree**####
**________________________________**

**________________________________**

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**CHEMISTRY - 17th May 7am**1 :- liquid nitrogen can be used asCORRECT ANSWER =rocket fuel2 :- what volume of oxygen at stp is required to burn 60g of carbon completelyCORRECT ANSWER =112.0DM33 :- when a crystal was added to its solution no further dissolution was observed.this showed that thesolution wasCORRECT ANSWER =saturated4 :- which of the following statement is peculiar to isotopesCORRECT ANSWER =they have different numbers of electrons5 :- in the reaction above the oxidizing agent isCORRECT ANSWER =2KI6 :- the diagram above representsCORRECT ANSWER =p orbital7 :- tin can be extracted fromCORRECT ANSWER =ethanol8 :- the alkanol obtained from the destrurctive distillation of wood isCORRECT ANSWER =297.3cm9 :- when magnesium reacts with tetraoxosulphate(VI)acid 312cm3 of hydrogen gas was was collected at28C and 750mmhg.calculate the volume of hydrogen gas at stpCORRECT ANSWER =10 :- the basicity of CH3COOH isCORRECT ANSWER =111 :- when a compound Q with molecular formula C2H4O2 reacts with excess methanol in the presence ofa catalyst, a sweet smelling substance is produced.the structural formula of Q is CORRECT ANSWER =12 :- how many faraday will be needed to deposit 9.6g of copper during the electrolysis of a solution of acopper saltCORRECT ANSWER =0.3F13 :- the derivative of methane that can be employed in dry cleaning isCORRECT ANSWER =Ccl414 :- the metal used in the construction of bridges isCORRECT ANSWER =iron15 :- when a compound Q with molecular formula C2H4O2 reacts with excess methanol in the presence ofa catalyst, a sweet smelling substance is produced.the reaction between Q and methanol isCORRECT ANSWER =esterification16 :- the alkali majorly used for making liquid soap isCORRECT ANSWER =CALCIUM HYDROXIDE17 :- in electrolplating iron with zinc the cathode is iron becauseCORRECT ANSWER =zn2+ will be discharged and deposited at the cathode18 :- which of the following is likely to be responsible for flavor of fruits and smell of flowers?CORRECT ANSWER =CH3COOCH319 :- the main product formed when excess acidified K2CR2O7 reacts with propan-1-ol isCORRECT ANSWER =propanoic acid20 :- calculate the pH of 0.001mol/dm3 HCL?CORRECT ANSWER =321 :- "plaster of paris" is composed ofCORRECT ANSWER =crystallization22 :- the seperation technique that improves on the purity of a compound isCORRECT ANSWER =23 :- an example of naturally distilled water isCORRECT ANSWER =spring water24 :- when elements 12X and 7Y combine chemically the formula of the compound formedCORRECT ANSWER =XY225 :- the dehydration of ethanol producesCORRECT ANSWER =ethene26 :- in the diagram above what point indicates the end of a chemical reaction?CORRECT ANSWER =R27 :- the oxygen in the atmosphere is kept fairly constant by the process ofCORRECT ANSWER =aeration28 :- elements belonging to the same group in the periodic table which exist as diatomic molecules and aregood oxidizing agents are referred to asCORRECT ANSWER =halogen29 :- the mixture of gases used by divers is oxygen andCORRECT ANSWER =>O30 :- in the endothermic reaction which involves the loss in entropy the value of change in G will beCORRECT ANSWER =31 :- at what temperature is the solubility of J and M are the sameCORRECT ANSWER =28 degrees32 :- the proces in which alkanes are converted to branched and cyclic hydrocarbons isCORRECT ANSWER =cracking33 :- if 0.5moles of a monoalkanoic acid weighhed 44g,determine the moleular formulaCORRECT ANSWER =C3H7COOH34 :- CH3C(CH3)2CH2CL ISCORRECT ANSWER =1-chloro-2,2-dimethylpropane35 :- THE MAXIMUM NUMBER OF ELECTRONS THAT CAN BE ACCOMODATED IN THESHELL HAVINGBTHE PRINCIPAL QUANTUM NUMBER 4 ISCORRECT ANSWER =3236 :- which of the following reactions will be feasible in water ?CORRECT ANSWER =Ca+2H2O----->Ca(OH)2+H237 :- the pollutant released in a large quantity from motor vehicle exhaust isCORRECT ANSWER =CARBON(II)OXIDE38 :- in the reaction above the equilibrium constant isCORRECT ANSWER =[NH3]2/[N2][H2]339 :- the substance that rekindles a glowing splinter like oxygen isCORRECT ANSWER =N2O40 :- alkali are not usually stored in aluminium containers because aluminium is

**CHEMISTRY - 17th May 7am**1 :- liquid nitrogen can be used asCORRECT ANSWER =rocket fuel2 :- what volume of oxygen at stp is required to burn 60g of carbon completelyCORRECT ANSWER =112.0DM33 :- when a crystal was added to its solution no further dissolution was observed.this showed that thesolution wasCORRECT ANSWER =saturated4 :- which of the following statement is peculiar to isotopesCORRECT ANSWER =they have different numbers of electrons5 :- in the reaction above the oxidizing agent isCORRECT ANSWER =2KI6 :- the diagram above representsCORRECT ANSWER =p orbital7 :- tin can be extracted fromCORRECT ANSWER =ethanol8 :- the alkanol obtained from the destrurctive distillation of wood isCORRECT ANSWER =297.3cm9 :- when magnesium reacts with tetraoxosulphate(VI)acid 312cm3 of hydrogen gas was was collected at28C and 750mmhg.calculate the volume of hydrogen gas at stpCORRECT ANSWER =10 :- the basicity of CH3COOH isCORRECT ANSWER =111 :- when a compound Q with molecular formula C2H4O2 reacts with excess methanol in the presence ofa catalyst, a sweet smelling substance is produced.the structural formula of Q is CORRECT ANSWER =12 :- how many faraday will be needed to deposit 9.6g of copper during the electrolysis of a solution of acopper saltCORRECT ANSWER =0.3F13 :- the derivative of methane that can be employed in dry cleaning isCORRECT ANSWER =Ccl414 :- the metal used in the construction of bridges isCORRECT ANSWER =iron15 :- when a compound Q with molecular formula C2H4O2 reacts with excess methanol in the presence ofa catalyst, a sweet smelling substance is produced.the reaction between Q and methanol isCORRECT ANSWER =esterification16 :- the alkali majorly used for making liquid soap isCORRECT ANSWER =CALCIUM HYDROXIDE17 :- in electrolplating iron with zinc the cathode is iron becauseCORRECT ANSWER =zn2+ will be discharged and deposited at the cathode18 :- which of the following is likely to be responsible for flavor of fruits and smell of flowers?CORRECT ANSWER =CH3COOCH319 :- the main product formed when excess acidified K2CR2O7 reacts with propan-1-ol isCORRECT ANSWER =propanoic acid20 :- calculate the pH of 0.001mol/dm3 HCL?CORRECT ANSWER =321 :- "plaster of paris" is composed ofCORRECT ANSWER =crystallization22 :- the seperation technique that improves on the purity of a compound isCORRECT ANSWER =23 :- an example of naturally distilled water isCORRECT ANSWER =spring water24 :- when elements 12X and 7Y combine chemically the formula of the compound formedCORRECT ANSWER =XY225 :- the dehydration of ethanol producesCORRECT ANSWER =ethene26 :- in the diagram above what point indicates the end of a chemical reaction?CORRECT ANSWER =R27 :- the oxygen in the atmosphere is kept fairly constant by the process ofCORRECT ANSWER =aeration28 :- elements belonging to the same group in the periodic table which exist as diatomic molecules and aregood oxidizing agents are referred to asCORRECT ANSWER =halogen29 :- the mixture of gases used by divers is oxygen andCORRECT ANSWER =>O30 :- in the endothermic reaction which involves the loss in entropy the value of change in G will beCORRECT ANSWER =31 :- at what temperature is the solubility of J and M are the sameCORRECT ANSWER =28 degrees32 :- the proces in which alkanes are converted to branched and cyclic hydrocarbons isCORRECT ANSWER =cracking33 :- if 0.5moles of a monoalkanoic acid weighhed 44g,determine the moleular formulaCORRECT ANSWER =C3H7COOH34 :- CH3C(CH3)2CH2CL ISCORRECT ANSWER =1-chloro-2,2-dimethylpropane35 :- THE MAXIMUM NUMBER OF ELECTRONS THAT CAN BE ACCOMODATED IN THESHELL HAVINGBTHE PRINCIPAL QUANTUM NUMBER 4 ISCORRECT ANSWER =3236 :- which of the following reactions will be feasible in water ?CORRECT ANSWER =Ca+2H2O----->Ca(OH)2+H237 :- the pollutant released in a large quantity from motor vehicle exhaust isCORRECT ANSWER =CARBON(II)OXIDE38 :- in the reaction above the equilibrium constant isCORRECT ANSWER =[NH3]2/[N2][H2]339 :- the substance that rekindles a glowing splinter like oxygen isCORRECT ANSWER =N2O40 :- alkali are not usually stored in aluminium containers because aluminium is
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