SOLUTION OF PROBLEMS ON SIMPLE ALGEBRAIC EQUATION Solving equation by balance method Equation with bracket Equation with fraction. Solving Equation by Balance Method To solve an equation means to find the values of the unknown in the equation that makes it true. For example: 2x 9 = 15. 2x 9 is on […]
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ALGEBRAIC EXPRESSION Definition with examples Expansion of algebraic expression Factorization of simple algebraic expressions Definition with examples In algebra, letters stand for numbers. The numbers can be whole or fractional, positive or negative. Example Simplify the following -5 x 2y -3a x -6b -14a/7 -1/3 of 36×2 Solution 1) -5 x 2y =
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ADDITION AND SUBTRACTION OF DIRECTED NUMBERS Directed numbers are the positive and negative numbers in any given number line e.g -4 -3 -2 -1 0 1 2 3 4 The (+) and (-) signs show the direction from the origin (o). To add a positive number move to the
APPROXIMATION OF NUMBERS ROUNDING OFF TO DECIMAL PLACES Digits 1,2,34 are rounded down to Zero, while digits 5, 6, 7, 8, and 9 are rounded up to 1 e.g. 126=130 to 2 digits A significant figure begins from the first non-zero digit at the left of a number. Digit should be written with their correct
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Interest is the money paid for saving a particular amount of money. Simple interest can be calculated using the formula Simple interest I = PRT/100 Where P= principal, R=rate & T= time Also total amount =principal +interest Example 1 Find the simple interest on N60, 000 for 5 years at 9% per annum
Fractions and Percentages A fraction can be converted to decimal by dividing the numerator by its denominator. It can be changed to percentage by simply multiplying by 100. Example 5.1 Change 3/8 into a decimal and percentage Convert 0.145 to percentage Solution 1) 3/8 = 0.375 in decimal 3/8 x 100% = 37.5% 2) 0.145×100=14.5%
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Highest Common Factors Highest common factor is the greatest number which will divide exactly into two or more numbers. For example 4 is the highest common factor (HCF) of 20 & 24. i.e. 20 = 1, 2, (4), 5, 10, 20 24= 1, 2, 3, (4), 6, 8, 12, 24 Example 1: Find the
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Difference between Whole Numbers and Decimal Numbers Whole number is a number without fraction. For example 1, 2, 3, 41000, 38888 are examples of whole numbers.71/2 is not a whole number. A decimal number is a fractional number less than 1. It is smaller to a whole number. Examples – 0.1,0.01,0.001etc Whole Numbers in
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Definition of Integer An integer is any positive or negative whole number Example: Simplify the following (+8) + (+3) (ii) (+9) – (+4) Solution (+8) + (+3) = +11 (ii) (+9) – (+4) = 9-4 = +5 or 5 Evaluation Simplify the following (+12) (+7) (ii) 7-(-3)-(-2) Indices The plural of index
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Content
a.) Types of angles
b.) Angles on a straight line
c.) Angles at a point
d.) Angles on a transversal (corresponding, alternate and allied angles)
e.) Angle properties of polygons
f.) Application to real life situations
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Content
(a.) Mass and units of mass
(b.) Weight and units of weight
(c.) Density
(d.) Problem solving involving real life experiences on mass, volume, density and weight.
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Content
(a.) Units of volume
(b.) Conversion of units of volume
(c.) Volume of cubes, cuboids and cylinders
(d.) Units of capacity
(e.) Conversion of units of capacity
(f.) Relationship between volume and capacity
(g.) Solving problems involving volume and capacity
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Content
(a.) Units of area (cm2 , m2 , km2 , Ares, ha)
(b.) Conversion of units of area
(c.) Area of regular plane figures
(d.) Area of irregular plane shapes
(e.) Surface area of cubes, cuboids and cylinders
Content
(a.) Units of length (mm, cm, m, km)
(b.) Conversion of units of length from one form to another
(c.) Significant figures
(d.) Perimeter
(e.) Circumference (include length of arcs).
Content
(a.) Rates
(b.) Solving problems involving rates
(c.) Ratio
(d.) Comparing quantities using ratio
(e.) Increase and decrease in a given ratio
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Content
(a.) Letters for numbers
(b.) Algebraic fractions
(c.) Simplification of algebraic expressions
(d.) Factorization by grouping
(e.) Removal of brackets
(f.) Substitution and evaluation
(g.) Problem solving in real life situations.
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Content
(a.) Squares by multiplication
(b.) Squares from tables
(c.) Square roots by factorization
(d.) Square roots from tables.
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Content
(a.) Fractions and decimals
(b.) Recurring decimals
(c.) Recurring decimals and fractions
(d.) Decimal places
(e.) Standard form
(f.) Operations on decimals
(g.) Order of operations
(h.) Real life problems involving decimals.
Content
(a.) Fractions
(b.) Proper, improper fractions and mixed numbers.
(c.) Conversion of improper fractions to mixed numbers and vice versa.
(d.) Comparing fractions.
(e.) Operations on fractions.
(f.) Order of operations on fractions
(g.) Word problems involving fractions in real life situations.