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Hello mathematicians in the house, You are welcome to 2017 Mathematics ATB . Here we all brainstorm on Mathematics for our upcoming Jamb. We would Like to Introduce Our C-ordinator, @Peterproxy1(m) He's also an aspirant. #Enjoy your class

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Hello great mathematicians i am peterproxy i am your mathematics co-ordinator we will all brainstorm mathematics from monday to saturday at 7am i am also an aspirant and with our co-operation and contribution we will all pass jamb. Thanks

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Noted Sir!

2017/2018 JAMB SYLLABUS. I. Number and Numeration. II. Algebra III. Geometry/Trigonometry. IV. Calculus V. Statistics TOPICS/CONTENTS/ NOTES OBJECTIVES SECTION I: NUMBER AND NUMERATION 1. Number bases: (a) operations in different number bases from 2 to 10; (b) conversion from one base to another including fractional parts. Candidates should be able to: i. perform four basic operations (x,+,-,÷ ii. convert one base to another. 2. Fractions, Decimals, Approximations and Percentages: (a) fractions and decimals; (b) significant figures; (c) decimal places; (d) percentage errors; (e) simple interest; (f) profit and loss percent; (g) ratio, proportion and rate; (h) shares and valued added tax (VAT). Candidates should be able to: i. perform basic operations (x,+,-,÷ on fractions and decimals; ii. express to specified number of significant figures and decimal places; iii. calculate simple interest, profit and loss percent; ratio proportion and rate; iv. Solve problems involving share and VAT. 3. Indices, Logarithms and Surds: (a) laws of indices; (b) standard form; (c) laws of logarithm; (d) logarithm of any positive number to a given base; (e) change of bases in logarithm and application; (f) relationship between indices and logarithm; (g) surds. Candidates should be able to: i. apply the laws of indices in calculation; ii. establish the relationship between indices and logarithms in solving problems; iii. solve problems in different bases in logarithms; iv. simplify and rationalize surds; v. perform basic operations on surds. 4. Sets: (a) types of sets (b) algebra of sets (c) venn diagrams and their applications. Candidates should be able to: i. identify types of sets, i.e empty, universal, complements, subsets, finite, infinite and disjoint sets; ii. solve problems involving cardinality of sets; iii. solve set problems using symbol; iv. use venn diagrams to solve problems involving not more than 3 sets. SECTION II: ALGEBRA. 1. Polynomials: (a) change of subject of formula (b) factor and remainder theorems (c) factorization of polynomials of degree not exceeding 3. (d) multiplication and division of polynomials (e) roots of polynomials not exceeding degree 3 (f) simultaneous equations including one linear one quadratic; (g) graphs of polynomials of degree not greater than 3. Candidates should be able to: i. find the subject of the formula of a given equation; ii. apply factor and remainder theorem to factorize a given expression; iii. multiply and divide polynomials of degree not more than 3; iv. factorize by regrouping difference of two squares, perfect squares and cubic expressions; etc. v. solve simultaneous equations - one linear, one quadratic; vi. interpret graphs of polynomials including applications to maximum and minimum values. 2. Variation: (a) direct (b) inverse (c) joint (d) partial (e) percentage increase and decrease. Candidates should be able to: i. solve problems involving direct, inverse, joint and partial variations; ii. solve problems on percentage increase and decrease in variation. 3. Inequalities: (a) analytical and graphical solutions of linear inequalities; (b) quadratic inequalities with integral roots only. Candidates should be able to: i. solve problems on linear and quadratic inequalities; ii. interprete graphs of inequalities. 4. Progression: (a) nth term of a progression (b) sum of A. P. and G. P. Candidates should be able to: i. determine the nth term of a progression; ii. compute the sum of A. P. and G.P; iii. sum to infinity of a given G.P. 5. Binary Operations: (a) properties of closure, commutativity, associativity and distributivity; (b) identity and inverse elements (simple cases only). Candidates should be able to: i. solve problems involving closure, commutativity, associativity and distributivity; ii. solve problems involving identity and inverse elements. 6. Matrices and Determinants: (a) algebra of matrices not exceeding 3 x 3; (b) determinants of matrices not exceeding 3 x 3; (c) inverses of 2 x 2 matrices [excluding quadratic and higher degree equations]. Candidates should be able to: i. perform basic operations (x,+,-,÷ on matrices; ii. calculate determinants; iii. compute inverses of 2 x 2 matrices. SECTION III: GEOMETRY AND TRIGONOMETRY 1. Euclidean Geometry: (a) Properties of angles and lines (b) Polygons: triangles, quadrilaterals and general polygons; (c) Circles: angle properties, cyclic quadrilaterals and intersecting chords; (d) construction. Candidates should be able to: i. identify various types of lines and angles; ii. solve problems involving polygons; iii. calculate angles using circle theorems; iv. identify construction procedures of special angles, e.g. 30°, 45°, 60°, 75°, 90° etc. 2. Mensuration: (a) lengths and areas of plane geometrical figures; (b) lengths of arcs and chords of a circle; (c) Perimeters and areas of sectors and segments of circles; (d) surface areas and volumes of simple solids and composite figures; (e) the earth as a sphere:- longitudes and latitudes. Candidates should be able to: i. calculate the perimeters and areas of triangles, quadrilaterals, circles and composite figures; ii. find the length of an arc, a chord, perimeters and areas of sectors and segments of circles; iii. calculate total surface areas and volumes of cuboids, cylinders. cones, pyramids, prisms, spheres and composite figures; iv. determine the distance between two points on the earth's surface. 3. Loci: locus in 2 dimensions based on geometric principles relating to lines and curves. Candidates should be able to: identify and interpret loci relating to parallel lines, perpendicular bisectors, angle bisectors and circles. 4. Coordinate Geometry: (a) midpoint and gradient of a line segment; (b) distance between two points; (c) parallel and perpendicular lines; (d) equations of straight lines. Candidates should be able to: i. determine the midpoint and gradient of a line segment; ii. find the distance between two points; iii. identify conditions for parallelism and perpendicularity; iv. find the equation of a line in the two-point form, point-slope form, slope intercept form and the general form. 5.Trigonometry: (a) trigonometrical ratios of angels; (b) angles of elevation and depression; (c) bearings; (d) areas and solutions of triangle; (e) graphs of sine and cosine; (f) sine and cosine formulae. Candidates should be able to: i. calculate the sine, cosine and tangent of angles between - 360° 360°; ii. apply these special angles, e.g. 30°, 45°, 60°, 75°, 90°, 105°, 135° to solve simple problems in trigonometry; iii. solve problems involving angles of elevation and depression; iv. solve problems involving bearings; v. apply trigonometric formulae to find areas of triangles; vi. solve problems involving sine and cosine graphs. SECTION IV: CALCULUS I. Differentiation: (a) limit of a function (b) differentiation of explicit algebraic and simple trigonometrical functions - sine, cosine and tangent. Candidates should be able to: i. find the limit of a function ii. differentiate explicit algebraic and simple trigonometrical functions. 2. Application of differentiation: (a) rate of change; (b) maxima and minima. Candidates should be able to: solve problems involving applications of rate of change, maxima and minima. 3. Integration: (a) integration of explicit algebraic and simple trigonometrical functions; (b) area under the curve. Candidates should be able to: i. solve problems of integration involving algebraic and simple trigonometric functions; ii. calculate area under the curve (simple cases only). SECTION V: STATISTICS 1. Representation of data: (a) frequency distribution; (b) histogram, bar chart and pie chart. Candidates should be able to: i. identify and interpret frequency distribution tables; ii. interpret information on histogram, bar chat and pie chart 2. Measures of Location: (a) mean, mode and median of ungrouped and grouped data - (simple cases only); (b) cumulative frequency. Candidates should be able to: i. calculate the mean, mode and median of ungrouped and grouped data (simple cases only); ii. use ogive to find the median, quartiles and percentiles. 3. Measures of Dispersion: range, mean deviation, variance and standard deviation. Candidates should be able to: calculate the range, mean deviation, variance and standard deviation of ungrouped and grouped data. 4. Permutation and Combination: (a) Linear and circular arrangements; (b) Arrangements involving repeated objects. Candidates should be able to: solve simple problems involving permutation and combination. 5. Probability: (a) experimental probability (tossing of coin, throwing of a dice etc); (b) Addition and multiplication of probabilities (mutual and independent cases). Candidates should be able to: solve simple problems in probability (including addition and multiplication).2017/2018 JAMB SYLLABUS. I. Number and Numeration. II. Algebra III. Geometry/Trigonometry. IV. Calculus V. Statistics TOPICS/CONTENTS/ NOTES OBJECTIVES SECTION I: NUMBER AND NUMERATION 1. Number bases: (a) operations in different number bases from 2 to 10; (b) conversion from one base to another including fractional parts. Candidates should be able to: i. perform four basic operations (x,+,-,÷ ii. convert one base to another. 2. Fractions, Decimals, Approximations and Percentages: (a) fractions and decimals; (b) significant figures; (c) decimal places; (d) percentage errors; (e) simple interest; (f) profit and loss percent; (g) ratio, proportion and rate; (h) shares and valued added tax (VAT). Candidates should be able to: i. perform basic operations (x,+,-,÷ on fractions and decimals; ii. express to specified number of significant figures and decimal places; iii. calculate simple interest, profit and loss percent; ratio proportion and rate; iv. Solve problems involving share and VAT. 3. Indices, Logarithms and Surds: (a) laws of indices; (b) standard form; (c) laws of logarithm; (d) logarithm of any positive number to a given base; (e) change of bases in logarithm and application; (f) relationship between indices and logarithm; (g) surds. Candidates should be able to: i. apply the laws of indices in calculation; ii. establish the relationship between indices and logarithms in solving problems; iii. solve problems in different bases in logarithms; iv. simplify and rationalize surds; v. perform basic operations on surds. 4. Sets: (a) types of sets (b) algebra of sets (c) venn diagrams and their applications. Candidates should be able to: i. identify types of sets, i.e empty, universal, complements, subsets, finite, infinite and disjoint sets; ii. solve problems involving cardinality of sets; iii. solve set problems using symbol; iv. use venn diagrams to solve problems involving not more than 3 sets. SECTION II: ALGEBRA. 1. Polynomials: (a) change of subject of formula (b) factor and remainder theorems (c) factorization of polynomials of degree not exceeding 3. (d) multiplication and division of polynomials (e) roots of polynomials not exceeding degree 3 (f) simultaneous equations including one linear one quadratic; (g) graphs of polynomials of degree not greater than 3. Candidates should be able to: i. find the subject of the formula of a given equation; ii. apply factor and remainder theorem to factorize a given expression; iii. multiply and divide polynomials of degree not more than 3; iv. factorize by regrouping difference of two squares, perfect squares and cubic expressions; etc. v. solve simultaneous equations - one linear, one quadratic; vi. interpret graphs of polynomials including applications to maximum and minimum values. 2. Variation: (a) direct (b) inverse (c) joint (d) partial (e) percentage increase and decrease. Candidates should be able to: i. solve problems involving direct, inverse, joint and partial variations; ii. solve problems on percentage increase and decrease in variation. 3. Inequalities: (a) analytical and graphical solutions of linear inequalities; (b) quadratic inequalities with integral roots only. Candidates should be able to: i. solve problems on linear and quadratic inequalities; ii. interprete graphs of inequalities. 4. Progression: (a) nth term of a progression (b) sum of A. P. and G. P. Candidates should be able to: i. determine the nth term of a progression; ii. compute the sum of A. P. and G.P; iii. sum to infinity of a given G.P. 5. Binary Operations: (a) properties of closure, commutativity, associativity and distributivity; (b) identity and inverse elements (simple cases only). Candidates should be able to: i. solve problems involving closure, commutativity, associativity and distributivity; ii. solve problems involving identity and inverse elements. 6. Matrices and Determinants: (a) algebra of matrices not exceeding 3 x 3; (b) determinants of matrices not exceeding 3 x 3; (c) inverses of 2 x 2 matrices [excluding quadratic and higher degree equations]. Candidates should be able to: i. perform basic operations (x,+,-,÷ on matrices; ii. calculate determinants; iii. compute inverses of 2 x 2 matrices. SECTION III: GEOMETRY AND TRIGONOMETRY 1. Euclidean Geometry: (a) Properties of angles and lines (b) Polygons: triangles, quadrilaterals and general polygons; (c) Circles: angle properties, cyclic quadrilaterals and intersecting chords; (d) construction. Candidates should be able to: i. identify various types of lines and angles; ii. solve problems involving polygons; iii. calculate angles using circle theorems; iv. identify construction procedures of special angles, e.g. 30°, 45°, 60°, 75°, 90° etc. 2. Mensuration: (a) lengths and areas of plane geometrical figures; (b) lengths of arcs and chords of a circle; (c) Perimeters and areas of sectors and segments of circles; (d) surface areas and volumes of simple solids and composite figures; (e) the earth as a sphere:- longitudes and latitudes. Candidates should be able to: i. calculate the perimeters and areas of triangles, quadrilaterals, circles and composite figures; ii. find the length of an arc, a chord, perimeters and areas of sectors and segments of circles; iii. calculate total surface areas and volumes of cuboids, cylinders. cones, pyramids, prisms, spheres and composite figures; iv. determine the distance between two points on the earth's surface. 3. Loci: locus in 2 dimensions based on geometric principles relating to lines and curves. Candidates should be able to: identify and interpret loci relating to parallel lines, perpendicular bisectors, angle bisectors and circles. 4. Coordinate Geometry: (a) midpoint and gradient of a line segment; (b) distance between two points; (c) parallel and perpendicular lines; (d) equations of straight lines. Candidates should be able to: i. determine the midpoint and gradient of a line segment; ii. find the distance between two points; iii. identify conditions for parallelism and perpendicularity; iv. find the equation of a line in the two-point form, point-slope form, slope intercept form and the general form. 5.Trigonometry: (a) trigonometrical ratios of angels; (b) angles of elevation and depression; (c) bearings; (d) areas and solutions of triangle; (e) graphs of sine and cosine; (f) sine and cosine formulae. Candidates should be able to: i. calculate the sine, cosine and tangent of angles between - 360° 360°; ii. apply these special angles, e.g. 30°, 45°, 60°, 75°, 90°, 105°, 135° to solve simple problems in trigonometry; iii. solve problems involving angles of elevation and depression; iv. solve problems involving bearings; v. apply trigonometric formulae to find areas of triangles; vi. solve problems involving sine and cosine graphs. SECTION IV: CALCULUS I. Differentiation: (a) limit of a function (b) differentiation of explicit algebraic and simple trigonometrical functions - sine, cosine and tangent. Candidates should be able to: i. find the limit of a function ii. differentiate explicit algebraic and simple trigonometrical functions. 2. Application of differentiation: (a) rate of change; (b) maxima and minima. Candidates should be able to: solve problems involving applications of rate of change, maxima and minima. 3. Integration: (a) integration of explicit algebraic and simple trigonometrical functions; (b) area under the curve. Candidates should be able to: i. solve problems of integration involving algebraic and simple trigonometric functions; ii. calculate area under the curve (simple cases only). SECTION V: STATISTICS 1. Representation of data: (a) frequency distribution; (b) histogram, bar chart and pie chart. Candidates should be able to: i. identify and interpret frequency distribution tables; ii. interpret information on histogram, bar chat and pie chart 2. Measures of Location: (a) mean, mode and median of ungrouped and grouped data - (simple cases only); (b) cumulative frequency. Candidates should be able to: i. calculate the mean, mode and median of ungrouped and grouped data (simple cases only); ii. use ogive to find the median, quartiles and percentiles. 3. Measures of Dispersion: range, mean deviation, variance and standard deviation. Candidates should be able to: calculate the range, mean deviation, variance and standard deviation of ungrouped and grouped data. 4. Permutation and Combination: (a) Linear and circular arrangements; (b) Arrangements involving repeated objects. Candidates should be able to: solve simple problems involving permutation and combination. 5. Probability: (a) experimental probability (tossing of coin, throwing of a dice etc); (b) Addition and multiplication of probabilities (mutual and independent cases). Candidates should be able to: solve simple problems in probability (including addition and multiplication).2017/2018 JAMB SYLLABUS. I. Number and Numeration. II. Algebra III. Geometry/Trigonometry. IV. Calculus V. Statistics TOPICS/CONTENTS/ NOTES OBJECTIVES SECTION I: NUMBER AND NUMERATION 1. Number bases: (a) operations in different number bases from 2 to 10; (b) conversion from one base to another including fractional parts. Candidates should be able to: i. perform four basic operations (x,+,-,÷ ii. convert one base to another. 2. Fractions, Decimals, Approximations and Percentages: (a) fractions and decimals; (b) significant figures; (c) decimal places; (d) percentage errors; (e) simple interest; (f) profit and loss percent; (g) ratio, proportion and rate; (h) shares and valued added tax (VAT). Candidates should be able to: i. perform basic operations (x,+,-,÷ on fractions and decimals; ii. express to specified number of significant figures and decimal places; iii. calculate simple interest, profit and loss percent; ratio proportion and rate; iv. Solve problems involving share and VAT. 3. Indices, Logarithms and Surds: (a) laws of indices; (b) standard form; (c) laws of logarithm; (d) logarithm of any positive number to a given base; (e) change of bases in logarithm and application; (f) relationship between indices and logarithm; (g) surds. Candidates should be able to: i. apply the laws of indices in calculation; ii. establish the relationship between indices and logarithms in solving problems; iii. solve problems in different bases in logarithms; iv. simplify and rationalize surds; v. perform basic operations on surds. 4. Sets: (a) types of sets (b) algebra of sets (c) venn diagrams and their applications. Candidates should be able to: i. identify types of sets, i.e empty, universal, complements, subsets, finite, infinite and disjoint sets; ii. solve problems involving cardinality of sets; iii. solve set problems using symbol; iv. use venn diagrams to solve problems involving not more than 3 sets. SECTION II: ALGEBRA. 1. Polynomials: (a) change of subject of formula (b) factor and remainder theorems (c) factorization of polynomials of degree not exceeding 3. (d) multiplication and division of polynomials (e) roots of polynomials not exceeding degree 3 (f) simultaneous equations including one linear one quadratic; (g) graphs of polynomials of degree not greater than 3. Candidates should be able to: i. find the subject of the formula of a given equation; ii. apply factor and remainder theorem to factorize a given expression; iii. multiply and divide polynomials of degree not more than 3; iv. factorize by regrouping difference of two squares, perfect squares and cubic expressions; etc. v. solve simultaneous equations - one linear, one quadratic; vi. interpret graphs of polynomials including applications to maximum and minimum values. 2. Variation: (a) direct (b) inverse (c) joint (d) partial (e) percentage increase and decrease. Candidates should be able to: i. solve problems involving direct, inverse, joint and partial variations; ii. solve problems on percentage increase and decrease in variation. 3. Inequalities: (a) analytical and graphical solutions of linear inequalities; (b) quadratic inequalities with integral roots only. Candidates should be able to: i. solve problems on linear and quadratic inequalities; ii. interprete graphs of inequalities. 4. Progression: (a) nth term of a progression (b) sum of A. P. and G. P. Candidates should be able to: i. determine the nth term of a progression; ii. compute the sum of A. P. and G.P; iii. sum to infinity of a given G.P. 5. Binary Operations: (a) properties of closure, commutativity, associativity and distributivity; (b) identity and inverse elements (simple cases only). Candidates should be able to: i. solve problems involving closure, commutativity, associativity and distributivity; ii. solve problems involving identity and inverse elements. 6. Matrices and Determinants: (a) algebra of matrices not exceeding 3 x 3; (b) determinants of matrices not exceeding 3 x 3; (c) inverses of 2 x 2 matrices [excluding quadratic and higher degree equations]. Candidates should be able to: i. perform basic operations (x,+,-,÷ on matrices; ii. calculate determinants; iii. compute inverses of 2 x 2 matrices. SECTION III: GEOMETRY AND TRIGONOMETRY 1. Euclidean Geometry: (a) Properties of angles and lines (b) Polygons: triangles, quadrilaterals and general polygons; (c) Circles: angle properties, cyclic quadrilaterals and intersecting chords; (d) construction. Candidates should be able to: i. identify various types of lines and angles; ii. solve problems involving polygons; iii. calculate angles using circle theorems; iv. identify construction procedures of special angles, e.g. 30°, 45°, 60°, 75°, 90° etc. 2. Mensuration: (a) lengths and areas of plane geometrical figures; (b) lengths of arcs and chords of a circle; (c) Perimeters and areas of sectors and segments of circles; (d) surface areas and volumes of simple solids and composite figures; (e) the earth as a sphere:- longitudes and latitudes. Candidates should be able to: i. calculate the perimeters and areas of triangles, quadrilaterals, circles and composite figures; ii. find the length of an arc, a chord, perimeters and areas of sectors and segments of circles; iii. calculate total surface areas and volumes of cuboids, cylinders. cones, pyramids, prisms, spheres and composite figures; iv. determine the distance between two points on the earth's surface. 3. Loci: locus in 2 dimensions based on geometric principles relating to lines and curves. Candidates should be able to: identify and interpret loci relating to parallel lines, perpendicular bisectors, angle bisectors and circles. 4. Coordinate Geometry: (a) midpoint and gradient of a line segment; (b) distance between two points; (c) parallel and perpendicular lines; (d) equations of straight lines. Candidates should be able to: i. determine the midpoint and gradient of a line segment; ii. find the distance between two points; iii. identify conditions for parallelism and perpendicularity; iv. find the equation of a line in the two-point form, point-slope form, slope intercept form and the general form. 5.Trigonometry: (a) trigonometrical ratios of angels; (b) angles of elevation and depression; (c) bearings; (d) areas and solutions of triangle; (e) graphs of sine and cosine; (f) sine and cosine formulae. Candidates should be able to: i. calculate the sine, cosine and tangent of angles between - 360° 360°; ii. apply these special angles, e.g. 30°, 45°, 60°, 75°, 90°, 105°, 135° to solve simple problems in trigonometry; iii. solve problems involving angles of elevation and depression; iv. solve problems involving bearings; v. apply trigonometric formulae to find areas of triangles; vi. solve problems involving sine and cosine graphs. SECTION IV: CALCULUS I. Differentiation: (a) limit of a function (b) differentiation of explicit algebraic and simple trigonometrical functions - sine, cosine and tangent. Candidates should be able to: i. find the limit of a function ii. differentiate explicit algebraic and simple trigonometrical functions. 2. Application of differentiation: (a) rate of change; (b) maxima and minima. Candidates should be able to: solve problems involving applications of rate of change, maxima and minima. 3. Integration: (a) integration of explicit algebraic and simple trigonometrical functions; (b) area under the curve. Candidates should be able to: i. solve problems of integration involving algebraic and simple trigonometric functions; ii. calculate area under the curve (simple cases only). SECTION V: STATISTICS 1. Representation of data: (a) frequency distribution; (b) histogram, bar chart and pie chart. Candidates should be able to: i. identify and interpret frequency distribution tables; ii. interpret information on histogram, bar chat and pie chart 2. Measures of Location: (a) mean, mode and median of ungrouped and grouped data - (simple cases only); (b) cumulative frequency. Candidates should be able to: i. calculate the mean, mode and median of ungrouped and grouped data (simple cases only); ii. use ogive to find the median, quartiles and percentiles. 3. Measures of Dispersion: range, mean deviation, variance and standard deviation. Candidates should be able to: calculate the range, mean deviation, variance and standard deviation of ungrouped and grouped data. 4. Permutation and Combination: (a) Linear and circular arrangements; (b) Arrangements involving repeated objects. Candidates should be able to: solve simple problems involving permutation and combination. 5. Probability: (a) experimental probability (tossing of coin, throwing of a dice etc); (b) Addition and multiplication of probabilities (mutual and independent cases). Candidates should be able to: solve simple problems in probability (including addition and multiplication).

TOPIC:NUMBER BASES Base ten(denary) 623=6 * 10^2 + 2 * 10 +3 Base eight(octal) 713=7 * 8^2 + 1 * 8 + 3 Base five 4102=4 * 5^3 + 1 * 5^2 + 0 * 5 + 2 Base two(binary) 10110=1 * 2^4 + 0 * 2^3 + 1 * 2^2 + 1 * 2 + 0 Note: The greatest digit in any number is 1 less than the base number. CONVERSION FROM BASE TEN TO ANY OTHER BASE:- E.g 1) convert 134(base ten) to base 8 Solution 8 134 R 8 16 6 8 2 0 0 2 CONVERSION FROM OTHER BASE TO BASE TEN:- E.g 2) convert 100(base two) to base ten. solution 100(base two)=1 * 2^2 + 0 * 2^1 + 0 * 2^0 =1 * 4 + 0 * 2 + 0 * 1 =4 + 0 + 0 = 4(base ten) Questions 1) convert 136(base ten) to base 8 2) convert 230(base ten) to base 4 3) convert 1111(base two) to base 10 4) convert 11011(base two) to base 10 LET'S STOP HERE FOR TODAY WE WILL CONTINUE ON MONDAY, AND I HOPE YOU ALL ENJOYED THE CLASS HAVE A NICE DAY AHEAD.

Questions 1) convert 136(base ten) to base 8 2) convert 230(base ten) to base 4 3) convert 1111(base two) to base 10 4) convert 11011(base two) to base 10 Solution 1.136= 8|136 8| 17 R 0 8| 2 R 1 8| 0 R 2 :- 136=210 2. 230 = 4|230 4| 57 R 2 4| 14 R 1 4 | 3 R 2 4| 0 R 3 :- 230= 3212 3. 1111=1 *2³+1*2²+1*2¹+1*2^0 = 1*8 + 1*4 + 1*2+1*1 =8+4+2+1 =15 4. 11011=1*2⁴+1*2³+1*2²+1*2²+1*2¹+1*2^0 =1*16+1*8+1*4+1*2+1*1 =16+8+4+2+1 =31 True

TOPIC:BINARY OPERATION CONVERSION OF A NUMBER IN ONE BASE TO ANOTHER BASE E.g 1) Convert 134(base 5) to base two Solution 134(base 5)=1 * 5^2 + 3 * 5^1 + 4 * 5^0 =1 * 25 + 3 * 5 + 4 * 1 =25 + 15 + 4 =44 2 44 R 2 22 0 2 11 0 2 5 1 2 2 1 2 1 0 0 1 134(base 5) = 101100(base two) Class-work 1) Convert 234(base 5) to base two 2) Convert 613(base 7) to base two 3) Convert 312(base 4) to base seven HAVE A NICE DAY EVERYONE

Time allowed : 40mins No workings please, choose only the correct options. 1. If tan x =12/5, what is the value of sin x? a. 12/13 b. 5/13 c. - 5/13 d. - 12/13 2. Three men X, Y and Z shared #2400.00 in the ratio 4:5:7 respectively. How much does Z receive? a. #1200 b. #750 c. #800 d. #1050 3. If y varies directly as the square root of (x+4). If y is 6 when x is 5. Find y when x is 12. a. 20 b. 12 c. 9 d. 8 4. A building took 63 days to complete by 28 men. How many days will the building take 36 men to complete? a. 42 days b. 49 days c. 81 days d. 56 days 5. What is the mode of the numbers 14, 8, 9, 10, 8, 11, 8, 10, 9, 9, 10 and 8. a. 14 b. 9 c. 8 d. 11 6. The bearing of P from Q is 250 degree. Find the bearing of Q from P. a. 110 b. 70 c. 20 d. 160 7. The area of a square is 64 sq. cm. Find the length of its diagonal. a. 11.3cm b. 12.3cm c. 12cm d. 8cm 8. Each interior angle of a regular polygon is 160 degree, how many sides has it? a. 20 b. 12 c. 18 d. 16 9. The sides of a triangle are 20cm, 20cm and 24cm. Find its area. a. 240 sq. cm b. 144 sq. cm c. 192 sq. cm d. 120 sq. cm 10. Leave 99.95 in one decimal place. a. 99.0 b. 100.0 c. 99.9 d. 90.0 11. Which of these is not a prime number? a. 1 b. 2 c. 3 d. 5 12. The sum of two dozens, two scores and two gross is______ a. 322 b. 352 c. 332 d. 152. 13. The 5th term of an A.P is 17 and 9th term is 29. Find the third term. a. 9 b. 12 c. 7 d. 11 14. Four angles of a pentagon are 120 degree each. What is the size of the fifth angle? a. 120 degree b. 90 degree c. 60 degree d. 90 degree. 15. If cos 20 =sin(2x +50). Find x. a. 10 b. 30 c. 55 d. 75 16. In a class of 100 students, every students has to study biology or chemistry or both subjects. If 85 students study biology and 70 students study chemistry. How many students study both subjects? a. 55 b. 45 c. 155 d. 15 17. Find the sum of the series below ...,- 2, - 1, 0, 1, 2,... a. 1 b. 0 c. infinity d. not possible 18. The product of two consecutive odd numbers is 143. Find the sum of the numbers. a. 72 b. 47 c. 63 d. 24 19. Let U=(1,2,3,4,5,6) A=(1,3,4,5,) B=(1,4,5). Find (A U B)'. a. (1,2) b. (1,3,4,5) c. (2,6) d. (1,4,5) 20. The angle of depression of a water tank from the top of a building is 60 degree. If the tank is 40m away from the foot of the building, find the distance between the water tank and the top of the building. A. 80m b. 40m c. 46.19 d. 23.09m

Hello Everyone it's been a long time i guess all of us are preparing for d oncoming post utme exam i pray we all pass but praying is nt all we have to do even the bible says work and pray. That is why i suggested that we all should start posting questions we don't understand in mathematics so we can solve it together. Thanks

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