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Fill in the Blank (FBQs):
FBQ1: Convert 2710 to another number in base three_______
Answer: *1000 base 3*
FBQ2: Find the length of a chord which subtends an angle of 90o at the centre of a circle whose radius is 8cm, __________
Answer: 82cm
FBQ3: If log 4 = 0.6021, evaluate log 41/3
Answer: *0.2007*
FBQ4: A square title has side 30cm. how many of these tiles will cover a rectangular floor of length 7.2m and width 4.2m?
Answer: *336*
FBQ5: Solve without using tables log5(62.5) – log5(1/2), _______
Answer: *3*
FBQ6: If N225.00 yields N27.00 in x-year simple interest at 4% per annum, find x
Answer: *3*
FBQ7: If x2+9 = x+1, solve for x ______
Answer: *4*
FBQ8: In slope-intercept form, the equation of a line passing through the point (-3,2) and parallel to 4x-y=7 is given as ………………..
Answer: *y=4x+4*
FBQ9: A regular polygon has 150o as the size of each interior angle. How many sides has the polygon?,
Answer: *12*
FBQ10: _____________ is the principal which amounts to N5,500 at simple interest in 5years at 2% per annum
Answer: *N5,000*
FBQ11: The x intercept of 9x-2y=18 is _____
Answer: *(3,0)*
FBQ12: A cylindrical tank has a capacity of 3080m3. What is the depth of the tank, if the base diameter of the base is 14m_______
Answer: *20m*
FBQ13: Simplify 12-312+3 _______
Answer: *1/3*
FBQ14: If sinθ = 3/5, find tanθ___
Answer: *3/4*
FBQ15: Calculate the logarithm to base 9 of 3-4 × 92 × (81)-1, ____
Answer: *-2*
FBQ16: In triangle XYZ, ∠XYZ=15o, ∠XZY=45o and XY = 7cm, find <math xmlns="http://w
Answer: 726cm
FBQ17: Find r, if 6r78 = 5119 ______
Answer: *3*
FBQ18: Express the product of 0.21 and 0.34 _______
Answer: *7.14 × 10-2*
FBQ19: Given that log 2 = 0.3010 and log 7 = 0.8451. evaluate log 112,
Answer: *2.0491*
FBQ20: If the two smaller sides of a right angle triangle are 4cm and 5cm, find its area
Answer: *10 sq cm*
FBQ21: Find the value of x for which 2(32x-1)=162,
Answer: *5/2*
FBQ22: Simplify log28log24,
Answer: *3/2*
FBQ23: When a dealer sells a bicycle for N81 he makes a profit of 8%. What did he pay for the bicycle?,
Answer: *N75*
FBQ24: Write the decimal number 39 to base 2,
Answer: *100111*
FBQ25: Two distinct sectors in the same circle subtend 1000 and 300 respectively at the centre of the circle. Their corresponding arcs are in the ratio____
Answer: *10:3*
FBQ26: A side of a rhombus is 2cm in length. An angle of the rhombus is 600. What is the length of the diagonal facing the angle_______
Answer: *2cm*
FBQ27: Given a regular hexagon, calculate each interior angle of the hexagon ______
Answer: *1200*
FBQ28: The Common difference of sequence 5,8,11,14,… is___
Answer: *3*
FBQ29: One interior angle of a convex hexagon is 1700 and each of the remaining angles is equal to x0. Find x,_______
Answer: *110*0
FBQ30: A regular polygon of n-sides has 1600 as the size of each of interior angle. Find n, __________
Answer: *18*
FBQ31: The perimeter of a rectangular lawn is 24cm. if the area is 35 sq cm, how wide is the lawn?
Answer: *5cm*
FBQ32: Find the radius of a sphere whose surface area is 154 sq cm, [π=22/7],
Answer: *3.5cm*
FBQ33: The angle between latitudes 300S and 130N is, __________
Answer: *43*0
FBQ34: If sinx =cosx, find x between 00 to 3600,
Answer: *45 degrees*
FBQ35: The area of a circle is ____________ cm2 whose circumference is 44cm,
Answer: *154*
FBQ36: A sector of a circle of radius 14cm has an area of 77cm2. Calculate the angle of the sector at the centre,
Answer: *450*
FBQ37: What is the length of a chord drawn 12cm away from the centre off a circle of radius 13cm,
Answer: *10cm*
FBQ38: Find an exterior angle of a regular pentagon,
Answer: *720*
FBQ39: Find the hypotenuse of a right-angled triangle of which its shorter sides are 3cm and 4cm respectively,
Answer: *5cm*
FBQ40: Calculate the area of an equilateral triangle of side 12cm
Answer: 363cm2
FBQ41: What is the length of a diagonal of a square whose area is 242cm2__
Answer: *22cm*
FBQ42: If cosθ=35 find tanθ,
Answer: *3/4*
FBQ43: What is the volume of a cone whose radius is 9cm and height is 21cm,_______ cm3
Answer: *2442*
FBQ44: If m=3, q=2 and r=21 evaluate m2qr
Answer: *243/7*
FBQ45: Simplify 312-21312,______
Answer: *7/3*
FBQ46: What is the diagonal of a land measuring 100m by 100m?
Answer: 1002m
FBQ47: The slope of the linear equation y=12x-2 is …………………………..
Answer: *2/3*
FBQ48: If three people are to share N72 in the ratio of 3:4:5, what is the smallest share?, _______
Answer: *N18*
FBQ49: Convert 2710 to a number in base 4,______
Answer: *1234*
FBQ50: If 2n=128 find the value of n ______
Answer: *7*
Multiple Choice Questions (MCQs):
MCQ1: The highest in the hierarchy of numbers is _____ numbers
Answer: natural
MCQ2: Pi is an example of __________ number
Answer: irrational
MCQ3: If 6410=x5 find x?
Answer: 223
MCQ4: Convert 173 to base eight
Answer: 24438
MCQ5: Convert 10111012 to denary
Answer: 95
MCQ6: Convert 1345 to denary
Answer: 44
MCQ7: If 202x=101002 solve for x
Answer: 5
MCQ8: Find the next term of each sequence 4, 16, 36, 64, 100
Answer: 169
MCQ9: If 35y + 62y= 125y and the value of y
Answer: 4
MCQ10: Expand and simplify (2x - 1)(x + 3)
Answer: x2+x-5
MCQ11: Perform the operation 4 2+ 3 2 - 2 2
Answer: 52
MCQ12:
Answer: x2 -6x+9
MCQ13: Simplify x7÷x3
Answer: x2
MCQ14: When solving a quadratic equation, you are looking for which of the following?
Answer: Point(s) of intersection
MCQ15: A linear system of equations made up of two intersecting lines has ________ solution(s)
Answer: two
MCQ16: If the legs of a right triangle measure 5 and 12 cm respectively, the measure of the third side is
Answer: 21 cm
MCQ17: Simplify 4-2353
Answer: 4-35
MCQ18: Find the cost of 11 bottles of cough syrup if the cost of 2 dozen of it is N 2520.
Answer: N115
MCQ19: A quantity of food lasts 5 men for one month (30 days). For how long will it last 6 men, if their rate of eating is the same?
Answer: 24 days
MCQ20: In a class of 60 students, 42 were present. What is the percent attendance?
Answer: 70%
MCQ21: A pharmacist bought a drug for N 375 and sold it for N 420. Find his or her profit or loss percent
Answer: 14%
MCQ22:
Answer: x ∓5
MCQ23:
Answer: 6
MCQ24:
Answer: 5
MCQ25: Given y+6x=3 what is the value of y when x=1
Answer: -1
MCQ26:
Answer: -2
MCQ27:
Answer:
MCQ28: An acute angle is an angle whose size is less than
Answer: 90°
MCQ29: Find the length of the arc of a circle of radius 7cm, which subtends an angle of 60° at the center of the circle. (Take π=227)
Answer: 253cm
MCQ30: Find the angle subtended at the centre of a circle radius 6.2cm by an arc of length 12cm. (Take π=227 )
Answer: 10.85°
MCQ31: The square root of a number is the same as raising the number to the
Answer: (1/2) power
MCQ32: Find the circumference of a circle of radius 10cm. Take π = 3.142
Answer: 62.84cm
MCQ33: Find the circumference and area of the circle of radius 12cm. (Take π=227 )
Answer: 75.4cm and 42.58cm2
MCQ34: A sector is cut out of a circle of radius 21 cm. Find the length of arc. (Take π=227 )
Answer: 60cm
MCQ35: A sector is cut out of a circle of radius 21 cm. Find the area of this sector, if the sector subtends an angle of 120°. (Take π=227 )
Answer: 463cm2
MCQ36: Find the perimeter of a semicircle of radius 12.3cm. Take π = 3.142
Answer: 6.25cm
MCQ37: A Cuboid is l0cm long, 8cm wide and 7cm high. Find the total surface area of the Cuboid
Answer: 412cm2
MCQ38: Find the volume of a 12.5cm by 10.5cm by 8.5cm box
Answer: 115.625cm3
MCQ39: If log7x=2
Answer: 49
MCQ40: Evaluate log100
Answer: 1
MCQ41: Simplify the following logax2+3logax-2loga4x&
Answer: logax2
MCQ42: Solve the following for x: 2logax-loga(x-1)=loga(x-</m
Answer: 23
MCQ43: Simplify 8x-3×3x26x-4
Answer: 2x2
MCQ44: Simplify 2a3b÷a2b6×ab2
Answer: a2
MCQ45: The diameter of the base of a cylinder is 12 cm and the height is 8 cm. Find the surface area of the solid cylinder
Answer: 528 cm2
MCQ46: The ages of Isa and Adamu differ by 6 and the product of their ages is 187. Write their ages in the form (x,y) where x > y.
Answer: (12,6)
MCQ47: Find n if, log24+log27+log2n=1</
Answer: 28
MCQ48: If 5x+2y=5 and 4x+3y=16, find 3x+y
Answer: 0
MCQ49: If the population of a town was 240,000 in January 1998 and it increased by 2% each year, what would be the population in 2000?
Answer: 480,000
MCQ50: If m = 3, p = -3, q = 7 and r = 5/2, evaluate m(p+q+r<m
Answer: 19