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13.5. Surface Area and Volume of a Sphere
13.5. Surface Area and Volume of a Sphere
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Table of Contents
1. RATIO AND RATES
Effective knowledge of science and mathematics is the foundation for development in practically all facets of life. Without a solid foundation in science and mathematics, nearly no aspect of life can advance in any significant way. This is why the study of mathematics is given a lot of emphasis in the educational systems of nations that are concerned about their progress. The primary purpose of the mathematics curriculum is to enable all Ghanaian young people to develop the mathematical knowledge, understanding, attitudes, and values that they will require to succeed in their chosen occupations and daily lives.
1.1 Introduction to Ratio and Rates
18m 53s
1.2 Equivalent Ratio
34m 12s
1.3 Direct Proportion
30m 19s
1.4 Inverse Proportion
11m 56s
1.5 Application Of Proportion
1h 30m 21s
2. QUARATIC EQUATION
2.1 Solving by Factorization
1h 7m 55s
2.2. Irrational Equations
12m 50s
2.3. Forming Quadratic Equations
23m 24s
2.4 Factors and Roots of a Quadratic Equation
51m 31s
2.5. Solving by Completing the Square
37m 4s
3. INDICES
3.1. Solving Exponential Equations in Linear Form
54m 32s
3.2. Solving Exponential Equations in Quadratic Form
40m 8s
3.3. Solving Exponential Equations in Quadratic Form
9m 34s
3.4 Solving Exponential Simultaneous Equations
12m 24s
4. LOGARITHM
4.1. Introduction and Rules/Laws of Logarithm
1h 54m 41s
4.2. Equations of Logarithm
43m 14s
4.3. Simultaneous Equations in Logarithm
18m 42s
5. MODULO ARITHMETIC
5.1. Introduction to Modulo Arithmetic
1h 52m 18s
5.2. Combination of Binary Operations and Modulo Arithmetic
43m 21s
5.3. Congruent Equations in Modulo Arithmetic
29m 32s
6. PROBABILITY
6.1. Introduction and Worked Examples
1h 28m 7s
6.2. Mutually Exclusive and Independent Events
1h 23m 12s
6.3. Conditional Events
1h 31m 54s
7. VARIATION
7.1. Direct Variation
39m 36s
7.2. Inverse Variation
45m 3s
7.3. Joint Variation
44m 56s
7.4. Partial Variation
50m 48s
8. SEQUENCE OF NUMBERS
8.1 Sequence of Numbers (Part 1)
23m 25s
8.2 Sequence of Numbers (Part 2)
32m 46s
9. SEQUENCE AND SERIES (ARITHMETIC SEQUENCE)
9.1. Introduction to Arithmetic Sequence
52m 10s
9.2. General Term of an Arithmetic Progression
1h 21m 13s
9.3. Sum of an Arithmetic Sequence
37m 59s
10. SEQUENCE AND SERIES (GEOMETRIC SEQUENCE)
10.1. Introduction to Geometric Sequence
53m 41s
10.2. General Term of a Geometric Sequence
1h 1m 47s
10.3. Sum of a Geometric Sequence
11. TRIGONOMETRY
11.1. Pythagoras’s Theorem
44m 33s
11.2. Trigonometry Ratios
1h 50m 59s
11.3. Angle of Elevation
1h 25m 16s
11.4. Angle of Depression
31m 11s
11.5. Further Trigonometry
46m 36s
12. MENSURATION I
12.1. Perimeter and Area of a Circle
42m 4s
12.2. Perimeter and Area of a Sector
2h 18m 2s
12.3. Properties of Chords
59m 6s
12.4. Area of the Minor Segments
1h 58m 9s
12.5. Perimeter and Area of Rectangle, Square and Triangle
3h 47m 38s
12.6. Perimeter and Area of Parallelogram and Trapezium
1h 58m 42s
12.7. Perimeter and Area of Kites and Rhombus
50m 27s
12.8. Complicated Shapes
4h 32m 50s
13. MENSURATION II
13.1. Surface Area and Volume of Cuboids
1h 8m 17s
13.2. Surface Area and Volume of a Cylinder
1h 34m 6s
13.3. Surface Area and Volume of a Cone
1h 53m 40s
13.4. Surface Area and Volume of a Pyramid
1h 14m 31s
13.5. Surface Area and Volume of a Sphere
1h 22m 32s
14. GLOBAL MATHEMATICS
14.1. Global Mathematics (Part 1)
52m 35s
14.2. Global Mathematics (Part 2)
59m 14s
15. ENLARGEMENT AND SIMILARITIES
15.1. Enlargement and Similarities (Part 1)
1h 21m 13s
15.2. Enlargement and Similarities (Part 2)
51m 7s
16. WASSCE 2022 MAY/JUNE
Questions & Answers
1h 48m 10s