HomoSapiien:
1. Number bases:
(a) operations in different number bases from 2 to 10;

(b) conversion from one base to another including fractional parts.

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 per cent
(g) ratio, proportion and rate

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

4. Sets:
(a) types of sets
(b) algebra of sets
(c) venn diagrams and their applications.




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


2. Variation:
(a) direct
(b) inverse
(c) joint
(d) partial
(e) percentage increase and decrease.


3. Inequalities:
(a) analytical and graphical solutions of linear inequalities.
(b) quadratic inequalities with integral roots only.

4. Progression:
(a) nth term of a progression
(b) sum of A. P. and G. P.

5. Binary Operations:
(a) properties of closure, commutativity, associativity and distributivity.
(b) 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].

SECTION III: GEOMETRIC AND TRIGONOMETRY
1. Euclidean Geometry:
(a) angles and lines
(b) polygon; triangles, quadrilaterals and general polygon.
(c) circles, angle properties, cyclic, quadrilaterals and intersecting chords.
(d) construction.

2. Mensuration:
(a) lengths and areas of plane geometrical figures.
(b) length s of arcs and chords of a circle.
(c) 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

3. Loci:
locus in 2 dimensions based on geometric principles relating to lines and curves.

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.

5.Trigonometry:
(a) trigonometric ratios of angels.
(b) angles of elevation and depression and bearing.
(c) areas and solutions of triangle
(d) graphs of sine and cosine
(e) sine and cosine formulae.

SECTION IV: CALCULUS
I. Differentiation:
(a) limit of a function;
(b) differentiation of explicit algebraic and simple trigonometric functions - sine, cosine and tangent.

2. Application of differentiation:
(a) rate of change
(b) maxima and minima

3. Integration:
(a) integration of explicit algebraic and simple trigonometric functions.
(a) area under the curve.

SECTION V: STATISTICS
1. Representation of data:
(a) frequency distribution
(b) histogram, bar chart and pie chart.

2. Measures of Location:
(a) mean, mode and median of ungrouped and grouped data -(simple cases only)
(b) cumulative frequency.

3. Measures of Dispersion: range, mean deviation, variance and standard deviation.

4. Permutation and Combination

5. Probability

Orezy5:
thanks. i also suggest that these topics should be evenly shared between the tutors. According to this syllabus, i think i'd be able to handle the topics EXCEPT those further maths topics

HomoSapiien:
If 55 _x + 52 _x = 7710 find X

HomoSapiien:


Very goood. So which ones are you going to handle and when are you going to start.. cuz I'm anxious

Orezy5:
pls check d question properly. I think 7710 is also supposed to have a base, or is it in base 'x' likd the others?

Orezy5:
I'm going to start when othes are ready(i dnt want to be d decision-maker here)

HomoSapiien:


Good. I agree with that.

Orezy5:
so have u re-checked d question?

HomoSapiien:
If 55 _x + 52 _x = 7710 find X

Umartins1:



55_x + 52_x = 77₁₀

5¹5⁰_x + 5¹2⁰_x = 77₁₀

5*x¹ + 5*x⁰ + 5*x¹ + 2*x⁰ = 77

5x+5 + 5x+2= 77

5x+5x+5+2= 77

10x+7=77

10x= 77-7

10x= 70

X= 7.

Umartins1:



55_x + 52_x = 77₁₀

5¹5⁰_x + 5¹2⁰_x = 77₁₀

5*x¹ + 5*x⁰ + 5*x¹ + 2*x⁰ = 77

5x+5 + 5x+2= 77

5x+5x+5+2= 77

10x+7=77

10x= 77-7

10x= 70

X= 7.

HomoSapiien:


Woww! Thanks bro. I love this. Sir, are you also going to be around as our tutor?

Umartins1:


Hahahahaahhaha.....
Just write a question, mention me and imma show up.
Imma be viewing the thread from time to time.

Thank you very much bro. I will do just that.

Orezy5:
given that 4P4₅=119₁₀, find the value of P.

Umartins1:

4²P¹4⁰₅ = 119
4*5² + p*5¹ + 4*5⁰ = 119
4*25 + 5p + 4 = 119
100+4+5p= 119
104+5p= 119
5p= 119-104
5p= 15
P= 3

Orezy5:
hmm! dis guy na maths wizard.
absolutely correct!

HomoSapiien:
If 2 ₉ x (3Y) ₉ = 3 ₅ x (3Y) ₅ , find the value of Y.

I tried using the logic you've been using but it doesnt work with the above question. Perhaps I'm missing some law guiding this particular subject. Please elaborate.

2434₆ / 42₆

2³4²3¹4⁰₆ / 4¹2⁰₆

2*6³ + 4*6² + 3*6¹ + 4*6⁰ / 4*6¹ + 2*6⁰

2*216 + 4*36 + 3*6 + 4*1 / 4*6 + 2*1

432+144+18+4 / 24+2

598/26

23.



If you are asked to leave your answer in base 6, then you will get...

35₆

HomoSapiien:
All these mathematics makes me look as if I never passed through the wall of secondary school I don't just get it.

@Umartins Thank you very much, please don't relent in your effort. I'll by fire by force practice this Subject against next year.

Here is another question: What is the answer when 2434 ₆ is divided by 42 ₆ ?

I tried using the logic you've been using but it doesnt work with the above question. Perhaps I'm missing some law guiding this particular subject. Please elaborate.

Umartins1:
HomoSapiien




You are to change both to base ten and then divide.

It is now left on what the question says you should do. If you're to leave your answer in base six, you have to convert back to base six.

Orezy5:
good morning to u all. Umartins and geofavour; u guys are really doing a great job here. take this as 'breakfast' lol. Solve: 3x - y=3 ..............(1)

9x² - y²=45............(2).

Geofavor:


*************solution****************
3x - y = 3 ------ (i)
9x² - y² ------- (ii)
from equation (i); 3x - 3 = y ------ (iii)
substitute (3x - 3) for y in equation (ii)
:. 9x² - (3x - 3)² = 45
9x² - [(3x)² - 2(3x)(3) + 3²] = 45
9x² - [9x² - 18x + 9] = 45
9x² - 9x² + 18x - 9 = 45
18x = 45 + 9
18x = 54
x = 54/18
x = 3
substitute 3 for x in equation (iii)
:. 3(3) - 3 = y
9 - 3 = y
y = 6

thus, x = 3, y = 6