WEEKS                                 TOPIC 1 Whole numbers: Binary number system, translation of word problems 2 Whole numbers: Expressions involving brackets, direct and invrse proportion, application, compound interest. 3 Addition and subtraction of numbers in base two 4 Multiplication and division of numbers ….  Read More

  Virtual class for Lesson 1 The video above is for the explanation of last class’ note. The note to ta his video has been linked

MATHEMATICS NUMBER BASES CONVERSION OF NUMBERS FROM ONE BASE TO ANOTHER To convert from one base to another base, numbers are first expressed in base ten, then to the required number base. Example: convert the following numbers to base two a. 1124 five b. 72 ten Solution a. 1124 five = 1 x 5^3 + ….  Read More

MATHEMATICS NUMBER BASES   Converting Bicimals To Decimals   Examples Convert 1001.1011two to denary Solution 3 2 1 0  -1-2-3-4 1 0 0 1.   1 0 1 1 = (1 x 23) + (0 x 22) + (0 x 21) + (1 x 20) + (1 x 2 -1) + (1 x 2 -2) + ….  Read More

MATHEMATICS ADDITION AND SUBTRACTION OF NUMBER BASES Addition Worked Examples Simplify the following in base two 1110 + 1001                    2.         1111 + 1101 + 101   Solutions: 1110 + 1001             10111     1111 + 1101         ….  Read More

MATHEMATICS NUMBER BASES (CONTD.) MULTIPLICATION AND DIVISION OF NUMBER BASES Worked Examples: 1110 base two x 111 base two Solution: 1110 X        110 0000 1110    1110    1010100 Multiply 11.01 by 1.1 in base two Solution: 11.01 x 1.1 1101 1101      100.111 3. multiply 122 by 134 base five   1225 X ….  Read More

MATHEMATICS DIVISION OF NUMBER BASES

MATHEMATICS RATIONAL AND NON-RATIONAL NUMBERS   Numbers which can be written as exact fractions or ratios in the form P/Q are called rational numbers. For example, we can write these numbers  8, 3 1/2, 1/5, 0.31, √16/9,  0.1   as   8/1, 7/2, 1/5, 31/100, 4/3, 1/10 In addition, rational numbers are also numbers that can be ….  Read More

MATHEMATICS RATIONAL AND NON-RATIONAL NUMBERS FINDING SQUARE ROOTS USING TRIAL AND ERROR METHOD Find √17  to three significant figures by the use of trial and error. Solution: √17   is between √16 and √25 √17 is between 4 and 5 4.52 = 20.25 4.22  = 17.64 4.12 = 16.81 4.122  = 16.974 4.132  = 17.056 √17 ….  Read More

MATHEMATICS VARIATION DIRECT AND INVERSE VARIATION DIRECT VARIATION This is used to describe quantities which vary in proportions to each other, such that as one increases the other increases, and as one decreases the other decreases. Thus, if P varies directly as R, then the expression symbolically becomes P ∝ R  . The expression can ….  Read More

MATHEMATICS VARIATION(CONTD.) INVERSE VARIATION This variation means that related quantities vary inversely or as reciprocal to each other. Hence as one increases the other decreases; and as one decreases, the other increases. Thus if T varies inversely as S  , symbolically this is written as T α 1/S   . The expression can now be written ….  Read More

MATHEMATICS TEST OBJECTIVE: ANSWER ALL QUESTIONS Express 3426 as number in base 10         (a) 134 (b) 341 (c) 143 Change the number 100102 to base 10 (a) 1001 (b) 40 (c) 18 Express in base 2, 10010 (a) 100100 (b) 1100100 (c) 11001 Convert 120 base 10 to base 3 (a) 111103 (b) 12103 (c) ….  Read More

Joint variation is obtained when a quantity varies with more than one other quantity either directly and/or inversely. For instance, P is jointly proportional to both Q  and G  as in P α QG . Also,  H is directly proportional to Y and inversely proportional to M as in H α Y/M   . Example 1: ….  Read More

PLEASE FIND BELOW THE TOPICS YOUR EXAM QUESTIONS ARE SET ON NUMBER BASES ADDITION OF NUMBER BASES, SUBTRACTION OF NUMBER BASES, MULTIPLICATION OF NUMBER BASES, DIVISION OF NUMBER BASES DIRECT VARIATION INVERSE VARIATION  

MATHEMATICS EXAMINATION PART A: ANSWER ALL QUESTIONS Simplify 111112 + 101102 1000012 b. 1001012 c. 1101012 d. 1111102 Find the missing number, if the addition below is in base nine Find the missing number, if the addition below is in base nine  240 + XXX + 801 = 1523NINE a.  372nine b. 373 nine  c. 137 ….  Read More

MATHEMATICS SIMULTANEOUS EQUATIONS Equation such as 4x + 1=7, has only one solution and one unknown, thus it is called linear equation. Considering equations such as 4x +2y = 24 which contains two unknown quantities (x,y) it cannot be solved unless one of the variables is given or another connecting the variable is given.  Hence ….  Read More

MATHEMATICS  SCHEME OF WORK   WEEK             TOPIC Solving Simultaneous Equation by Substitution and elimination method. Solving Simultaneous Equation by graphical methods. Geometry: similar shapes Geometry continued: length, areas and volumes of similar figures Areas of plane figures Areas of plane figures continued Trigonometric ratios Angles of elevation and depression Bearing Scale Drawings. Revision

MATHEMATICS SIMULTANEOUS EQUATIONS ELIMINATION METHOD OF SOLVING SIMULTANEOUS EQUATION In the Elimination method, the two simultaneous equations are either added or subtracted so as to eliminate one of the variables. This is very useful to solve simultaneous equation especially when none of the coefficient of the unknown is one (1).   Example: use Elimination method ….  Read More

    MATHEMATICS SIMULTANEOUSEQUATIONS   WORD PROBLEMS LEADING TO SIMULTANEOUS EQUATION To solve such problems: Identify the two unknowns and represent them with letters. Translate the words into equations. Use any convenient method to solve the two unknowns. Example: The difference between the ages of Audu and Ojo is 15. if the sum of their ….  Read More

MATHEMATICS SIMULTANEOUS EQUATIONS WORD PROBLEMS LEADING TO SIMULTANEOUS EQUATION To solve such problems: Identify the two unknowns and represent them with letters. Translate the words into equations. Use any convenient method to solve the two unknowns.   Example: The difference between the ages of Audu and Ojo is 15. if the sum of their ages ….  Read More

MATHEMATICS SIMULTANEOUS EQUATIONS GRAPHICAL METHOD OF SOLVING SIMULTANEOUS EQUATION Expressions in x written as ax+b where a and b are constants (which can be any number) are known as linear expression. Thus we can draw a graph representing the above expression by equating it to y. to draw a linear graph we select suitable values ….  Read More

MATHEMATICS  GEOMETRY(SIMILAR SHAPES) Similar Triangles One of the following conditions is sufficient to show that two triangles are similar. I. If two angle of one trangle are equal to two angles of the other. II. If two pairs of sides are in the same ration and their included angles are the same. III. If the ….  Read More

MATHEMATICS SIMILAR SHAPES  

MATHEMATICS SIMILAR SHAPES Scale Factor (Length Ratio) Scale factor = 9/3 or 6 /2= 3/1 Area factor = (Scale factor)2 = (3/1)2 = 9/1 or 9.1 If the ratio of the length is X : Y Then the ratio of the area is X2 : Y2 Example 1: In the diagram below, if the area ….  Read More

MATHEMATICS SIMILAR SHAPES  

Mathematics Area of Concentration Solving Simultaneous Equation by Substitution and elimination method. Solving Simultaneous Equation by graphical methods. Geometry: similar shapes Geometry continued: length                                                                ….  Read More

MATHEMATICS TEST the solution of x if y=5x+2; and x+2y=15 is A. 1 B. 2 C. 5 The sum of two numbers is 18 and their difference is 12. Find the two numbers from the above question.A.6&10 B.15&3 C. 10&3 Solve x + y = 5 and 2x – y = 3 simultaneously A. x ….  Read More

MATHEMATICS SIMILAR SHAPES SCALE FACTOR  Scale factors The two kites drawn below are similar, because: their matching angles are equal, and their matching sides are in proportion. Kite Kite The sides of the two kites are in proportion. That means that the lengths of all the sides of one kite have been multiplied by the same ….  Read More

MATHEMATICS SIMILAR SHAPES

MATHEMATICS AREA FACTOR

MATHEMATICS AREA FACTOR(CONTD.)

MATHEMATICS Solve  the following pairs of simultaneous equations graphically:    a. 2x + y=8; x+y=5                                                                                  ….  Read More

MATHEMATICS(lagos state BECE and NECO BECE) Which of the following gives the prime numbers between 0 and 7? a. 0, 1,2,3,4,5,6,7 b. 1,2,3,4,5,6 1,2,3,4,5 d. 2,3,5 Find the positive difference between the sum of 1.8 and 3 and the product of 8 and 0.3 a. 7.2    3.9 c. 2.4 d. 1.5 solve these equations ….  Read More