FBQ1: … is the amount by which a resource is under utilized Answer: Slack FBQ2: … is the point at which the curve is neither a maximum nor a minimum value Answer: Point of reflexion FBQ3: At point of inflexion, the turning points are……… Answer: Equal FBQ4: If the value of turning point in the second derivative is negative, then it is a … Answer: Maximum point FBQ5: If the value of turning point in the second derivative is positive, then it is a …….. Answer: Minimum point FBQ6: These are point on the curve at which  and the value of the function at this point is called………….. Answer: stationary point FBQ7: Stationary points are also called………….. Answer: turning point FBQ8: The coordinate of the point of interception of the lines, 2x + 3y = 5 and x + 2y = 3, is………..   Answer: (1, 1) FBQ9: If y = c, where c is a constant, then δyδx yields…. Answer: 0 FBQ10: Given the function H(x) =kx+3      for x < 2 3x2 – x + 3    for x ≥ 2 . The values of „k‟ for which H(x) is continuous at x = 2 is …  Answer: K=5 FBQ11: The limn→∞⁡7-2x is ….… Answer: 7 FBQ12: The limit of function fx=12x as x→0, is …………… Answer: 1 FBQ13: The limit of function fx=12x as x→2, is …………… Answer: ¼ FBQ14: … describe what happen to a function f(x), as its variable x approaches a particular number, say c   Answer: Limit FBQ15: The common ratio of the G.P 2, 6, 18, 54, 162, is … Answer: 3 FBQ16: A … is a sequence in which each successive terms of the sequence are in equal ratio. Answer: geometric progression FBQ17: The 7th term of an A.P is 15 and the fourth term is 9. The first term and the common difference are … and … respectively   Answer: 3, 2 FBQ18: The 7th term of an A.P whose first term is 102 and common difference is -3 is Answer: 84 FBQ19: The square of common difference of the sequence 3, 5, 7, 9, 11,… is Answer: 4 FBQ20: … is a sequence in which each term differs by a common difference Answer: Arithmetic progression FBQ21: An infinite sequence is one whose terms are… Answer: Uncountable FBQ22: …. is a succession of terms spanned by a rule or formula. Answer: A sequence FBQ23: … is the amount of goods requested for by customers at any point in time. Answer: Demand FBQ24: The demand curve is the relationship between quantity and ……. of goods Answer: Price FBQ25: A physical quantity having both magnitude and direction is called ____ Answer: vector FBQ26: The necessary and sufficient conditions for two lines to intercept are that they must be consistent and …………….. Answer: Independent FBQ27: A good application of intercept of two lines is the…………… Answer: market equilibrium FBQ28: ………..…will the equation of a line (-1, -4) whose gradient is 1? Answer: y=x-3 FBQ29: The equation of a straight line is of the form ……….. Answer: y=mx+c FBQ30: The distance between the pairs of points A(0, 1) and B(6, 9) is …………. Answer: 10 FBQ31: By a point P(x, y) we mean that P is in the …… plane Answer: (x, y) FBQ32: zn = [r(cosθ + isinθ )]n is called the ………… theorem Answer: De Moivre’s FBQ33: If z = x + iy, ⇒ z = r cosθ + r i sinθ is called the… of z. Answer: polar form FBQ34: Let A be a square matrix where the element ai j = 0. For i > j, then A is called…………. Answer: An upper triangular matrix FBQ35: The distance between (0, 1) and (6, 9) is ______ Answer: 10 FBQ35: The gradient of the line perpendicular to x + 3y = 2 is ….. Answer: 3 FBQ36: The determinant of is Answer: -1 FBQ37: Let ; . Given that |AB| =121, find the value of k Answer: -3 FBQ38: For what value of m would the matrix be singular? Answer: 2 FBQ39: Calculate the distance between the points: A(0,1) and B(6,9) Answer: 10 FBQ40: The negation of tautology is a _______ Answer: contradiction FBQ41: The magnitude of the vector is _____ Answer: 13 FBQ42: The magnitude of the vector is ____ Answer: 5 FBQ43: Two vectors are said to be ___ if they are in equal direction Answer: parallel FBQ44: A _____ is a succession of terms spanned by a rule or formula Answer: sequence FBQ45: A sequence in which each term differs by a common difference is known as _____ Answer: Arithmetic Sequence FBQ46: The 6th term of an A.P whose first term is 102 and common difference is -3 is ____ Answer: 87 FBQ47: the point at which the curve is neither a maximum nor a minimum value is called point of ___ Answer: inflexion FBQ48: The 11th term of an A.P whose first term is 102 and common difference is -3  Answer: 72 FBQ49: ______ sequence is a sequence in which each successive terms of the sequence are in equal ratio Answer: geometric FBQ50: A ____ sequence is one whose first and last element are known Answer: finite MCQ1: … is the study and analysis of a mathematical proposition as to ascertain the Truth Value of the proposition.  Answer: Logic MCQ2: Lagos is a cosmopolitan state. The Truth Value of this is … Answer: true MCQ3: There are two types of statements: Answer: simple and composite MCQ4: The connective "∧" in logic is a… Answer: conjunction MCQ5: The connective "⇒ " in logic is a… Answer: conditional MCQ6: The connective "∼" in logic is a… Answer: negative MCQ7:  The connective "⟺ " in logic is a… Answer: bi – implication MCQ8: The negation of contradiction is a … Answer: tautology MCQ9: … is said to be formed when the conjunction of a set of simple mathematical statements gives rise to another mathematical statement. Answer: argument MCQ10: If ( p ∧ q) = p and ( p ∨ q) = p implies an…  Answer: Idempototent Laws MCQ11: If (p ∨ q) ∨ r = p ∨ (q∨ r) and (p ∧ q) ∧ r = p ∧ (q∧ r) implies an… Answer: Associate Laws MCQ12:  If (p ∧ q) = (q∧ p) and (p ∨ q) = (q∨ p) implies an…  Answer: Commutative Laws MCQ13:  --- reads “the goods are standard and the goods are expensive Answer: (p ∧ q) MCQ14: … reads “the goods are standard if and only if the goods are expensive” Answer: (p ↔ q) MCQ15:  … is equivalent to (p ∨ q) Answer: (p ↔ q) MCQ16:  Which of the following statement is true Answer: (p ∨ q) ∧ ( p∨ r) = p∨ (q ∧ r ) MCQ17: Which of the following statement is true Answer: (~ (p∨ ~ q)= ~ (p∧~ q) MCQ18:  …. is a rectangular array of numbers with reference to specific rules governing the array Answer: Matrix MCQ19: A matrix that has elements only on its diagonal is called  Answer: diagonal matrix MCQ20: The … of a matrix is the inter- changing of its row with the column.  Answer: transpose matrix MCQ21:  A matrix in which its transpose is equal to itself is called… Answer: symmetric matrix MCQ22:  Given that A=123456 and B=123456, Find AB?  Answer: 51215192631294051 MCQ23:  Find the determinant of the A=2-456? Answer: 32 MCQ24:  Given that A =123321132, Find the determinant of A Answer: 3 MCQ25: A matrix is said to be singular if the determinant is equal to  Answer: 0 MCQ26:  Given that 13k4 is a singular matrix. Find the value of k? Answer: 43 MCQ27: Given that A =201k23214 , what is the value of k, if A is said be a singular matrix?  Answer: -6 MCQ28:  Given that x + 2y = 3, 3x + 4y =1. What is x and y? Answer: -5, 4 MCQ29:  Given that x + 2y + 3z =1, 3x + 2y + z = 4, x + 3y + 2z = 0. What is x,y and z? Answer: 74 , - 34, 14 MCQ30:  Let A =123450214 , then the cofactor of matrix A is the matrix Answer: 20-16-6-5-23-1512-3 MCQ31: What is the common difference in the sequence 3, 5, 7, 9, 11…  Answer: 2 MCQ32: Calculate the determinant of the matrix A =123450214? Answer: -10 MCQ33:  Given the following equations for two related markets (A) and (B). Find the equilibrium conditions for each market. What is the equilibrium price for each marketxd (A) = 82 – 3PA + PB , xd (B) = 92 + 2PA - 4PB , xs (A) = -5 + 15PA xs (A) = -6 + 32PB,where xd and xs denote quantity demanded and quantity supplied respectively.  Answer: PA = 5, PB = 3 are the equilibrium prices for each market  MCQ34:  A necessary and sufficient condition for a matrix (square) A to be invertible is that  Answer: A ≠ 0 MCQ35:  What is the sum of AB→, -CB→, CD→, − ED→ . Answer: AE→ MCQ35: The equation of a straight line at pointand slope 5 is given byMCQ36: The equation of the straight line given one pointand slope 3 is MCQ37: The equation of a line given two points ,is given byMCQ38: Obtain the equation of the line having points A(-2, 3) and B(4, -6)MCQ39: The equation of the line with points A(-3, -2) and B(-1, 0)MCQ40: The necessary and sufficient conditions for two lines to intercept are Answer: they must be consistent and independent MCQ41: Two lines are said to be parallel if Answer: All the options MCQ42: Find the coordinate of the point of interception of the lines: 2x + 3y = 5 ; x + 2y = 3MCQ43: Find the coordinate of the point of interception of the lines: x + 2y = 5 ; x + y = 3 Answer: MCQ44: Find the coordinate of the point of interception of the lines: 2x + y = 5 ; x + y = 3MCQ45: Let the gradient of a line be 3, find the equation of the line at point (1,2) Answer: y = 2x MCQ46: Find the equation of the line which is parallel to 3x + 2y = 5 and passes through the point (2, -4) Answer: 3x + 2y = -2 MCQ47: Find the equation of the line which is parallel to 3x - 2y = 5 and passes through the point (-2, -4) Answer: -3x + 2y = -2 MCQ48: Find the equation of line that passes through the points: A(2, 3) and B(4, 6) Answer: 2y =3x MCQ50: What is the gradient the line that passes through points A(-3, -2) and B(1, 0)? MCQ1: … is the study and analysis of a mathematical proposition as to ascertain the Truth Value of the proposition.  Answer: Logic MCQ2: Lagos is a cosmopolitan state. The Truth Value of this is … Answer: true MCQ3: There are two types of statements: Answer: simple and composite MCQ4: The connective "∧" in logic is a… Answer: conjunction MCQ5: The connective "⇒ " in logic is a… Answer: conditional MCQ6: The connective "∼" in logic is a… Answer: negative MCQ7:  The connective "⟺ " in logic is a… Answer: bi – implication MCQ8: The negation of contradiction is a … Answer: tautology MCQ9: … is said to be formed when the conjunction of a set of simple mathematical statements gives rise to another mathematical statement. Answer: argument MCQ10: If ( p ∧ q) = p and ( p ∨ q) = p implies an…  Answer: Idempototent Laws MCQ11: If (p ∨ q) ∨ r = p ∨ (q∨ r) and (p ∧ q) ∧ r = p ∧ (q∧ r) implies ..… Answer: Associate Laws MCQ12: If (p ∧ q) = (q∧ p) and (p ∨ q) = (q∨ p) implies an…  Answer: Commutative Laws MCQ13:  --- reads “the goods are standard and the goods are expensive Answer: (p ∧ q) MCQ14: … reads “the goods are standard if and only if the goods are expensive” Answer: (p ↔ q) MCQ15:  … is equivalent to (p ∨ q) Answer: (p ↔ q) MCQ16:  Which of the following statement is true Answer: (p ∨ q) ∧ ( p∨ r) = p∨ (q ∧ r ) MCQ17: Which of the following statement is true Answer: (~ (p∨ ~ q)= ~ (p∧~ q) MCQ18: …. is a rectangular array of numbers with reference to specific rules governing the              array Answer: Matrix MCQ19: A matrix that has elements only on its diagonal is called  Answer: diagonal matrix MCQ20: The … of a matrix is the inter- changing of its row with the column.  Answer: transpose matrix MCQ21:  A matrix in which its transpose is equal to itself is called… Answer: symmetric matrix MCQ22:  Given that A=123456 and B=123456, Find AB?  Answer: 51215192631294051 MCQ23:  Find the determinant of the A=2-456? Answer: 32 MCQ24:  Given that A =123321132, Find the determinant of A Answer: 3 MCQ25: A matrix is said to be singular if the determinant is equal to  Answer: 0 MCQ26:  Given that 13k4 is a singular matrix. Find the value of k? Answer: 43 MCQ27: Given that A =201k23214 , what is the value of k, if A is said be a singular matrix?  Answer: -6 MCQ28:  Given that x + 2y = 3, 3x + 4y =1. What is x and y? Answer: -5, 4 MCQ29:  Given that x + 2y + 3z =1, 3x + 2y + z = 4, x + 3y + 2z = 0. What is x,y and z? Answer: 74 , - 34, 14 MCQ30:  Let A =123450214 , then the cofactor of matrix A is the matrix Answer: 20-16-6-5-23-1512-3 MCQ31: What is the common difference in the sequence 3, 5, 7, 9, 11…  Answer: 2 MCQ32: Calculate the determinant of the matrix A =123450214? Answer: -10 MCQ33: Given the following equations for two related markets (A) and (B). Find the equilibrium conditions for each market. What is the equilibrium price for each market             xd (A) = 82 – 3PA + PB ,   xd (B) = 92 + 2PA - 4PB ,             xs (A) = -5 + 15PA               xs (A) = -6 + 32PB,                 where xd and xs denote quantity demanded and quantity supplied         respectively.  Answer: PA = 5, PB = 3 are the equilibrium prices for each market MCQ34:  A necessary and sufficient condition for a matrix (square) A to be invertible is that  Answer: A ≠ 0 MCQ35:  What is the sum of AB→, -CB→, CD→, − ED→ . Answer: AE→ MCQ35: The equation of a straight line at point and slope 5 is given by Answer: MCQ36: The equation of the straight line given one point and slope 3 is Answer: MCQ37: The equation of a line given two points ,is given by Answer: MCQ38: Obtain the equation of the line having points A(-2, 3) and B(4, -6) Answer: MCQ39: The equation of the line with points A(-3, -2) and B(-1, 0) Answer: MCQ40: The necessary and sufficient conditions for two lines to intercept are Answer: they must be consistent and independent MCQ41: Two lines are said to be parallel if Answer: All the options MCQ42: Find the coordinate of the point of interception of the lines: 2x + 3y = 5 ; x + 2y = 3 Answer: MCQ43: Find the coordinate of the point of interception of the lines: x + 2y = 5 ; x + y = 3 Answer: MCQ44: Find the coordinate of the point of interception of the lines: 2x + y = 5 ; x + y = 3 Answer: MCQ45: Let the gradient of a line be 3, find the equation of the line at point (1,2) Answer: y = 2x MCQ46: Find the equation of the line which is parallel to 3x + 2y = 5 and passes through the point (2, -4) Answer: 3x + 2y = -2 MCQ47: Find the equation of the line which is parallel to 3x - 2y = 5 and passes through the point (-2, -4) Answer: -3x + 2y = -2 MCQ48: Find the equation of line that passes through the points: A(2, 3) and B(4, 6) Answer: 2y =3x MCQ50: What is the gradient the line that passes through points A(-3, -2) and B(1, 0)? Answer: