MATHEMATICS QUESTIONS FOR EXAM (1)

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  • Evaluate​​ limπ2f(x)= {Sin x + Cos xtanx}​​  ​​​​  ​​ ​​​​ a.​​ 0  ​​​​ b. 1 ​​ c. –1 ​​ ​​ d.​​ 

  • Evaluate​​ limfx= {2x + 54x -3} ​​​​  ​​ ​​ ​​​​  ​​ ​​ ​​​​ a12 ​​ ​​ ​​​​ b. 2  ​​​​ ​​ c.​​ 53​​ ​​ d.​​ -53

  • Evaluate​​ limfx= {2x3-4x2-63x2} ​​​​ a.​​ -34 ​​ ​​​​ b.​​ -43 ​​​​ c. 2​​ ​​ d.​​ 12

  • Evaluate​​ limπ2f(x)= {Sin x + 6xcosx} ​​​​  ​​​​  ​​​​ a.​​ 6  ​​ ​​ ​​ ​​​​ b. -6  ​​ ​​​​ ​​ c.​​ 3π2 ​​ ​​ ​​ ​​​​ ​​ d.​​ 2π3

  • If y = 2x2–3x ​​ is differentiated from the First Principle;​​ y = ___ ​​ a. 4x(x) – 2(x)2​​ + 3x  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ b. 4x(x) – 2(x)2​​ – 3x  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ c. 2x2​​ – 4x(x) – 2(x)2​​ – 3x – 3x  ​​ ​​​​ d. 4x – 3

  • If y =​​ 2x​​ from the first principle, then​​ y=​​ ­­­­______  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​​​ a.​​ -xx (x+ x) ​​ ​​ ​​ ​​ ​​​​ b.​​ xx (x+ x) ​​ ​​ ​​ ​​​​ c.​​ -2xx (x+ x) ​​ ​​ ​​ ​​ ​​​​ d.​​ 2xx (x+ x)​​ 

  • In a class of 5boys and 4girls, a committee of 5students is to be formed. What is the probability that the committee consist of exactly more number of girls? ​​ A.​​ 2063 ​​ ​​ ​​​​ B.​​ 5126 ​​ ​​​​ C.​​ 514 ​​​​ D.​​ 914

  • The angle of intersection between the lines 6y = 4x + 5 and 3y – 2x = 27 is ___ ​​ A. 0o ​​ ​​ ​​​​ B. 30o ​​ ​​ ​​​​ C. 45o ​​ ​​​​ D. 90o

  • Find the value of x+2 if​​ 2x+12x+13​​ = x + 4  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 3 ​​ B. 1 C. 2 D. 4 ​​ 

  • One and half hours, the minutes hand of a clock rotates through an angle of  ​​ ​​​​ A. 900​​ ​​ B. 1800​​ ​​ C. 6400​​  ​​​​ D. 4500​​ 

  • In a football league of 20 teams where all the team are to meet one another both home and away. If in a season, there was a disaster in which fifteen matches couldn’t hold. How many matches were played in that season?  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ (a) 190 ​​ (b) 380 ​​ (c) 175  ​​ ​​ ​​ ​​ ​​​​ (d) 365

  • f(x) = 3x + 2 and g(x) = ​​ x2. If fog = gof, the values of x are A. -1​​ ± 63 ​​ ​​ ​​​​ B. ​​ 1​​ ±63 ​​ ​​ ​​ ​​ ​​​​ C. -3​​ ±6 ​​ ​​​​ D. 3​​ ±6

  • The angle of elevation of the top of a tower from a point on the ground which is 36cm away from the foot of the tower is 30o​​ calculate the height of the tower  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​​​ A.​​ 123m B.​​ 363m ​​ ​​​​ C.​​ 203m ​​ ​​​​ D.​​ 63m​​ 

  • In a family of 21 people, the average age is 14years. If the age of the grandfather is not counted the average age drops by 2years. What is the age of the grandfather?  ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 35  ​​​​ B. 55 C. 54 ​​ D. 56

  • The interior angle of a quadrilateral are (x + 15)​​ (2x – 45), (x – 30)​​ and (x + 10). Find the value of the least interior angle  ​​ ​​​​ A. 1120​​  ​​​​ B. 1020​​  ​​​​ C. 820​​  ​​​​ D. 520​​  ​​​​ 

  • Find the quotient when the polynomial 2x3​​ + 4x2​​ – 2x – 5 is divided by x +2  ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 2x​​ – 2​​ B. 2x2​​ – 2  ​​​​ C. 2x2​​ + 4x – 2  ​​ ​​ ​​ ​​​​ D. 2x2​​ + 2

  • Find the polynomial which has a remainder of 2x + 1, with quotients 2x + 5 when divided by x2​​ – 4.  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​​​ A. 2x3​​ + 5x2​​ – 8x – 20  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ ​​ B. 2x3​​ + 5x2​​ – 6x – 19  ​​​​ C. x2​​ + 5x3​​ – 3x + 4  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​​​ D. 5x3​​ – 2x2​​ + 4x – 3​​ 

  • f1​​ = 3x3​​ – 4x2​​ + x – 2 f2​​ = 2x3​​ + 4x – 3. Evaluate: 3f1​​ + 2f2​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 13x3​​ – 4x2​​ + 11x – 12 ​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​  ​​ ​​ ​​​​ B. 13x3​​ – 12x2​​ + 11x – 12  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ C. 13x3​​ + 12x2​​ + 11x + 12​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ D. 13x3​​ – 12x2​​ – 11x – 12​​ 

  • Mr. Abeeb paid Sir Kris a sum of #25,000 with 110notes of #500 and #200 denomination, how many #100 notes are there in the money.  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 35 ​​ B. 75 ​​ C. 45 ​​ D. 60

  • Five years ago, the age of a mother is 5 years lesser than trice her son’s age, in five years’ time she will be 35years older than her son. Find her son’s present age ​​  ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​ ​​​​ A. 20 ​​ B. 25  ​​​​ C. 30 ​​ D. 35

See also  SHORT SUMMARY OF THE 1857 NIGER EXPEDITION

 

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