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TRIGONOMENTRY Ensure your calculator must be in degree mode. If you are not sure press [ON] [MODE] [MODE] [MODE] [MODE] “converted to degree” (1). If sin A = 4 / 5 and cos B = 5 /13 evaluate cos (A-B) (A) 56 / 65 (B) 63 / 65 (C) 12 / 13 (D) 13 / 12 Solution:-Using...
PDF FILE FOR GS 105 SUMMARY NOW AVAILABLE HERE BROAD APPROCH TO HISTORY & PHILOSOPHY OF SCIENCE CHAPTER ONEDIMENSIONS OF THE HUMANITIESHumanity in Nigeria is of Interchangeable used with Arts.Some Universities may have the faculty of Humanities while...
DISCOURSE ON NIGERIAN HISTORY CULTURE & SOCIO-POLITICAL DEVELOPMENT(GS 107) CHAPTER 1 History and Culture of the Nigerian people in the Pre-Colonial Era. Berlin conference held between 1884 and 1885 There are two aspect of culture; a) The material culture...
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OR GATE (1). Find the output of the OR gate when the inputs are A= 1100 B= 1010 (a). 1110 (b). 0101 (c). 10011 Solution Using Casio fx991es [ON] [MODE] [4] [LOG] [1] [1] [0] [0] [SHIFT] [3] [2] [1] [0] [1] [0] [=] Therefore Option A is correct. AND GATE...
INDICES (1). Simplify 125^-1/3 × 49^-1/2 × 10^0 (A) 350 (B) 35 (C) 1/ 35 (D) 1 /350 Solution :-Using “CASIO fx -991MS /570MS ” When raising a negative fraction to the power put brackets to avoid errors when using the calculator i.e. 125(-1/3) except it...
PARTIAL FRACTION (1). Express 5x –12/ (x – 2)(x – 3) (A) 2 - 2 (B) 2 + 3 (C) 2 - 3 (D) 5 - 2 (x – 2) (x – 3) (x – 2) (x – 3 ) (x – 3) (x – 2) (x – 2) (x – 2) Solution:-Using CASIO fx-991MS calculator. Make X= any number (1, 2, 3, ..........100) or more....
Calculator Technique for Arithmetic Progression Problem: Arithmetic Progression The 6 th term of an arithmetic progression is 12 and the 30th term is 180. 1. What is the common difference of the sequence? 2. Determine the first term? 3. Find the 52 nd...
Addition Of Vectors (1). If a Vector A = 3i +3j -k Vector B = 2i + 4j + 5k Vector C = 3i - 2j + 4k Find Vector A + B + C Solution Using Casio fx991es [ON] [MODE] [8] [1] (VECT A) [1] (WE HAVE 3 ROWS) [3] [=] [3] [=] [-] [1] [=] [AC] [SHIFT] [5] [1] (DIM)...
BINARY NUMBERS 1. Convert 11001101 base two to a number in denary (A)205 (B)204 (C)203 (D)206 Solution:- Using fx-991MS calculator [ON] [MODE] [MODE] [3] [BIN](log) Press [1] [1] [0] [0] [1] [1] [0] [1] [=] [dec] (205) The correct option is “A” 2. Multiply...
(1). What is the 2's complement of (11001100) base two You first convert to 1's complement by changing zeros to one and changing one to zeros Ans = 00110011 Then convert to 2's complement by Adding one to them Using Casio fx991es [ON] [MODE] [4] [LOG]...
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(1). Solve the equation 9^8 ÷ 9^5 (a). 9^3 (b). 9^2 (c). 9^5 (NB: ^ is raise to power, ◼/◻ is fraction symbol, × is multiplication sign ) Solution Using Casio fx991es [ON] [9] [HEX] [8] [➡] [÷] [9] [HEX] [5] [=] Answer gives 729 and if any option gives...
(1). Evaluate 5P3 (a). 60 (b). 30 (c). 20 Solution Using Casio fx991es [ON] [5] [SHIFT] [nPr] [3] [=] Therefore Option A is correct. (2). Evaluate 5P3 + 6P2 (a). 90 (b). 40 (c). 20 Solution Use Casio fx991es [ON] [5] [SHIFT] [nPr] [3] [+] [6] [SHIFT]...
(1). Simplify 3√45 – 12√5 + 16√20(A) 29√5 (B) 14√15 (C) 12√15 (D) 11√5Solution:-Using CASIO fx-991MS calculator[ON] [3] [√] [4] [5] [-] [1] [2] [√] [5] [+] [1] [6] [√] [2] [0] [=] (64.84597135)If option A,B,C,D gives 64.84597135 it is correct but if it...
GROUPED DATA (1). The table shows the weekly profit in naira from a mini market Weekly(profit) 1, 10, 11, 20, 21, 30, 31, 40, 41, 50, 51, 60 - - - - - - - - - - - - frequency 6, 6, 12, 11, 10, 5 Find the mean (x) (A) 30.1 (B)31.0 (C) 31.1 (D) 31.2 Find...
SIMULTANEOUS EQUATION1. Solve the following simultaneous equation2x + 5y = 6½5x – 2y = 9(A)2, ½ (B)2, 3 (C) ½ ,3 (D)-2, ½Solution Using Casio fx-991MS[ON] [MODE] [MODE] [MODE] [1] [2] contd2x + 5y = 6½ a1 + b1 = c15x – 2y = 9 a2 + b2 = C2Where a1=2, b1=5,...
Addition of Complex Number (1). Simplify the complex number (7 + 5i) + (3 - 2i) (a). 10 + 3i (b). 9 + 5i (c). 6 + 3i Solution Using Casio fx991es [ON] [MODE] [2] [(] [7] [+] [5] [i] [)] [+] [(] [3] [-] [2] [i] [=] Therefore Option A is correct. (2). Express...
(1). Evaluate log10 (25) + log10 (32) – log10 (8) (A) 0.2 (B) 2 (C) 100 (D) 409 Solution:-Using CASIO fx-991MS calculator [log] [2] [5] [+] [log] [3] [2] [-] [log] [8] [=] (2) The correct option is “B” (2). Evaluate log5 (62.5) – log5 (½) (A) 3, (B) 4,...
FACTORISATION INVOLVING ALPHA (α) AND BETA (β) (1). given that α and β are the roots of the equation 5x 2 – 7x + 1 = 0. What is the value of (α – β) 2 (A) 29 /5 (B) 13 /5 (C) 7 /5 (D) 29 /25 --What is the value of (α + 1)(β + 1) (A) 13 /5 (B) 27 /25 (C)...
1. Find the solution sets of the inequality (x-1) (x+4)<0 (NB: < is minus, > is plus, = is equal to) To Solve Using Casio fx991es Press [(] Alpha [X] - 1 [)] [(] Alpha [X] + 4 [)] - 0 [Shift] [Calc] [=] X = 1 If it gives negative answer then you change...
Addition of polynomials(1). Solve the equation (x^2 – 5x – 7) + (7x^2 – 4x + 10)(A) 3x^2 – 9x – 3 (B) 8x^2 – 9x + 3 (C) 3x^2 + 9x + 3 (D) 8x^2 + 9x – 3Solution:-Using CASIO fx-991MS calculator, make x = any number of your choice i.e. x= 1, 2, 3……………………………..100...
Construct a quadratic equa tion whose root are - ½ and 2 (1). (A)3x^2 – 3x + 2 = 0 (B)3x^2 + 3x – 2 = 0 (C)2x^2 + 3x – 2 = 0 (D)2x^2 – 3x - 2 = 0 Solution:- Using CASIO fx-991MS calculator, make x = - 1/ 2 and x = 2, To produce the correct answer first...
PAST QUESTION YEAR 2000 Exam 1 Exam 2 PAST QUESTION YEAR 2001 Exam 1 Exam 2 PAST QUESTION YEAR 2002 Exam 1 Exam 2 Exam 3 Exam 4
