MCQ1: Determine the value of x and y simultaneously given that x + y = 10 and xy = 21
Answer: x,y=[(3,7)(7,3)
MCQ2: The sum of twice a number and 5 is less than the sum of one-third of the number and 6, find the number.
Answer: x< 3/5
MCQ3: The sum of eight times a number and 15 is less than thrice the same number minus 10, find the number.
Answer: x < -5
MCQ4:
Find the sum of eight terms of the GP 2,6,18,---------.
Answer: 6560
MCQ5: Simplify 3√12- 4√75 +√48
Answer: −10√3
MCQ6: Solve for the value of t and u given that 2ⁿ⁺⁰=8 and 3²ⁿ¯⁰=27
Answer: n= 2 and o= 1
MCQ7: Factorize the equation 2y² - 11y+ 5 and get the value of y
Answer: 5 or ½
MCQ8: The sum of twice a number and 15 is less than thrice the same number minus 9. Form an inequality for the statement and get the value of the number.
Answer: x < 24
MCQ9: Find 127th term of the AP given as 5,8,11,--------
Answer: 383
MCQ10: The 21st term of an AP is 50,000, if the first term is 20,000. Find the common difference.
Answer: 1500
MCQ11:
If 3, x, y, 18 are AP. Find the values of X and Y.
Answer: x=8, y=13
MCQ12: Find the gradient of the line described by the given point. P(5,3) and Q(7,10)
Answer: 7∕2
MCQ13: 8 pencils and 3 books cost N288 while 5 pencils and 2 books cost N184. what is the cost of pencil and books.
Answer: N24 and N32
MCQ14: Using factorization method solve for x, 5x²+ 12x +7 = 0.
Answer: −1 or −1⅖
MCQ15: Given equation 4x² - 9x + 5 = 0, find the value of x.
Answer: 1 or 1.25
MCQ16: Find the value of K in the perfect square 12x² - 6x + K.
Answer: 0.75
MCQ17: Find the quadratic equation whose root is −1/2 and 3/2.
Answer: 4x² - 4x - 3
MCQ18: Solve (7⅗ of 17∕ 19) ∕ 15∕25
Answer: 11⅓
MCQ19: Solve 1 6∕9 of ⅔ - 3⅕ + 2½ ∕ ½
Answer: 2 41∕45
MCQ20: Convert ratio 4:5 to percentage
Answer: 80%
MCQ21: Given that factor overhead is ⅖, prime cost is ⅕. Calculate the fraction of the total spent on other items.
Answer: ⅖
MCQ22: Express 5hrs as a ratio of 1week and 2days
Answer: 5∕216
MCQ23:
The ratio by weight (kg) of zinc, tin and copper are 4:3:3, if the work requires 640kg alloy, what is the required kg for zinc.
Answer: 256kg
MCQ24:
For selling an item for N850 a trader made a profit of 15%. What should be selling price be to make a profit of 20%.
Answer:
887
MCQ25:
Solve the simultaneous inequalities 6x - 2y ≥ 14 and 14x + 3y≤ 24 and determine the values of x and y.
Answer: x ≥ 1.96, y ≤ 1.12
MCQ26: Simplify 10ᴉ /(10 -5)ᴉ
Answer: 30240
MCQ27: In how many ways can the letter of the word FRACTIONS be written?
Answer: 362,880 ways
MCQ28: In how many ways can the word EXAMINATION be arranged?
Answer: 4,989,600
MCQ29:
Find the value of (1.06)⁷
Answer: 1.5
MCQ30: In how many ways can the letter OSOGBO be arranged?
Answer: 120 ways
MCQ31: Five men sit around a circular table, how many ways can this be done?
Answer: 120 ways
MCQ32: Multiply 4ᴉ x 12
Answer: 288
MCQ33: A committee has ten members, how many ways can the MD, Chairman, Secretary and ICT Manager be selected?
Answer: 5040 ways
MCQ34: Solve ⁷P₄ − ⁴P₃
828
Answer: 828
MCQ35: From a class of 12 students, six are to be selected as a member of a committee. In how many ways can this be done?
Answer: 665,280
MCQ36: A school committee is to be formed. There are nine girl and six eligible boys. In how many ways can the committee be formed if there are four girls and three boys?1+xn=1+nx1!+nn-1x22!+…
Answer: 2520
MCQ37: Find 127th term of the AP given as 5,8,11,--------
Answer: 383
MCQ38: An imaginary number is a number that has ____________
Answer: negative square root
MCQ39: Simplify 3½ - 2 7/121+xn=1+nx1!+nn-1x22!+…
Answer: 11∕12
MCQ40: It took 7men 35hours to build a house. How much time will it take 12 men working at the same rate to finish the house.
Answer: 20hrs 42mins
MCQ41: For selling an item for N 900 a trader make a profit of 25%. What should the selling price be to make a profit of 30%.
Answer: N936
MCQ42: Factorise the polynomial 4x²+ 20x + 3xy + 15y
Answer: (x+5)(4x+3y)
MCQ43: Solve the indices (2a³b²)(a¯²b)/(2ab)¯²
Answer: 8a³b⁵
MCQ44: Solve log₅12.5 + log₅2
Answer: 2
MCQ45: Convert log₃6 to base 3
Answer: 1.63
MCQ46:
The LCM of 14a²b²,7ab and 28ab² is
Answer: 28a²b²
MCQ47: Express 200g as a ratio of 4kg
Answer: 1g : 20g
MCQ48: It took 4 men 20 hours to clean up the hostel of a certain school. How much time will be taken by 8 men working at the same rate to finish work?
Answer: 10hours
MCQ49: Obaka and Bakare Shared a profit of N50,000 at ratio 3:4, what is Obaka`s share of the profit?
Answer: N21,428.57
MCQ50: If 250 labourers are needed to clean up the factory of a certain manufacturing company having 50 machines. How many labourer will be needed if 50 similar machines are required?
Answer: 250
FBQ1: When both numerator and denominator of a fraction are multiplied by the same number (except _________), another fraction is obtained
Answer: zero
FBQ2: Monomials can be added or subtracted to form ___________.
Answer: polynomials
FBQ3: An improper rational expression is the one in which the degree of the denominator is ______ than the degree of the numerator
Answer: Less
FBQ4: Since the degree of numerator is greater than that of the denominator, the rational function is ___________.
Answer: Improper
FBQ5: There are _______ forms of arrangements of objects that the concept of factorial can assist us to obtain.
Answer: Two
FBQ6: The total expenses of Obaka Nigeria Limited in the year ended 31 December, 2018 were N180, 000. This consists of: Wages and salaries = N 50, 000 Selling and distributing expenses= N 20,000 Insurance = N 5,000 Rent = N 30,000 Electricity = N 35,000 Traveling and fueling = N 35,000 Miscellaneous expenses = N 5,000The fractional part of the total that is rent is _____________;
Answer: 1/6
FBQ7: The value of (1.06)⁷ is _________.
Answer: 1.5
FBQ8: The ratio by weight (kg) of zinc, tin and copper are 4:3:3, if the work requires 640kg alloy, the required kg for zinc is __________.
Answer: 256kg
FBQ9: Simplify without using table log₅12.5 + log₅2 is __________.
Answer: 2
FBQ10: Simplify and solve for x, given (0.125)x+1 = 1∕64 yields __________.
Answer: 1
FBQ11: Convert 2/5 to ratio = __________
Answer: 2:5
FBQ12: Convert 3/5 to percentage = __________
Answer: 60%
FBQ13: If 250 labourers are needed to clean up the factory of a certain manufacturing companies having 50 machines, _________labourers will be needed if additional 40 similar machines are required.
Answer: 450
FBQ14: It took 5 men 20 hours to clean up the warehouse of a certain company, therefore, __________hours will be taken by 10 men doing the same work at the same rate.
Answer: 10
FBQ15: The population of a country was 1.5 million in 1998 and in 2008, the population dropped to 1.2 million. The percentage reduction in population was ________ per cent.
Answer: 20
FBQ16: 9-3/2 = __________
Answer: 1/27
FBQ17: (x-3)0 = ___________.
Answer: 1
FBQ18: a2b3/ab = __________.
Answer: ab2
FBQ19: An orange can be shared among four children equally so that each of them gets a _________ of the orange.
Answer: quarter
FBQ20: A _________ is a small amount or proportion of a whole.
Answer: fraction
FBQ21: A proportion is simply an expression of the equation of ________ ratios.
Answer: two
FBQ22: If 12/5 = 7/5, then 32/7 =
Answer: 23/7
FBQ23: Convert 2/8 to decimal = ___________
Answer: 0.25
FBQ24: x + 2y is a mathematical expression but x + 2y = 7 is a mathematical x ___________.
Answer: equation
FBQ25: The first and last term of an AP are 5 and 100 respectively. The sum of AP, if the AP has 20 terms is ____________.
Answer: 1050
FBQ26: The present value of N923 receivable in 7 years if the money is worth 15% per year compounded quarterly is __________.
Answer: 346.98
FBQ27: The present value of 10,000 receivable 5 years from now if money is worth 10% per annum is __________.
Answer: 6,209.20
FBQ28: Five men sit around a circular table, this can be done in _______ ways.
Answer: 120 ways
FBQ29: A committee has ten members, the MD, Chairman, Secretary and ICT manager can be selected in _________ ways.
Answer: 5040 ways
FBQ30: From a class of 12 students, six are to be selected as a member of a committee. This can be done in ______ ways.
Answer: 665,280
FBQ31: Given that the quantity demand of orange Qd = 40 - 5p, then _________ units of orange is demanded if price is N5.
Answer: 15
FBQ32:
Given that A{prime number less than 20}, B {even numbers less than 15}, C {Multiples of 4 less than 15} then AuBnC is ______.
Answer: {4,8,12}
FBQ33:
A proper subset is a set that has all the __________ of a set in another set
Answer: Elements
FBQ34: Given Ƹ = {1,2,3,4,5,.6,7,8}, A= {1,2,4,8}, B= {1,3,5,7}, C = {2,4,6,8}, find AnB¹uC¹.
Answer: {1,2,3,4, 5,7,8}
FBQ35: ECO 153 is introduction to _________ method I
Answer: quantitative
FBQ36: In 17+ 3y = 20, the value of y will be ___________
Answer: 1
FBQ37: The ability of a positive number to increase is subject to be added to another positive number (except _________).
Answer: 1
FBQ38: A __________ is formed when a set of number is increasing or decreasing by a constant value as the term of the sequences are being formed.
Answer: sequence
FBQ39: If the AP is given as 5, 8, 11…. The 127th term is ________
Answer: 383
FBQ40: The arithmetic progression 8, 11, 14, 17, …, 380 has _______ terms.
Answer: 125
FBQ41: A student borrows 600 at 7% interest compounded annually. He pays off the loan at end of 3 years. He paid a total amount of ________.
Answer: 735
FBQ42: Make x the subject of the formula L= xh∕ a(x+p) gives _________.
Answer: x= ap ∕ h - La
FBQ43: Tunde save N40,000 in the first year of a new job. In each subsequent year, he saved 15% more than in the previous year. The total amount he has saved in 5years is _________.
Answer: N269,695
FBQ44: Express 5hrs as a ratio of 1week and 2days gives __________.
Answer: 5∕216
FBQ45: To convert ratio 4:5 to percentage yields ___________.
Answer: 80%
FBQ46: An improper fraction is classified as _____________.
Answer: 3∕2
FBQ47: An imaginary number is a number that has _____________
Answer: negative square root
FBQ48: The 3rd and the 6th term of GP are 18 and 486, therefore, the 10th term is ________.
Answer: 39366
FBQ49: The second term of a geometric progression is 6 and the fifth term is 162. The third term is ____________.
Answer: 18
FBQ50: The 4th and 7th term of an arithmetic sequence are 6 and 15 respectively. The nth term of the sequence is __________.
Answer: 4