{"id":15480,"date":"2021-06-17T09:53:19","date_gmt":"2021-06-17T09:53:19","guid":{"rendered":"https:\/\/enoteprime.com\/?p=15480"},"modified":"2021-06-17T09:53:49","modified_gmt":"2021-06-17T09:53:49","slug":"further-maths-mock-exam-questions-for-ss3","status":"publish","type":"post","link":"https:\/\/enoteprime.com\/further-maths-mock-exam-questions-for-ss3\/","title":{"rendered":"FURTHER MATHS MOCK EXAM QUESTIONS FOR SS3"},"content":{"rendered":"\n

SS3<\/em><\/strong> FURTHER MATHEMATICS MOCK EXAM QUESTIONS – Enoteprime.COM<\/a><\/em><\/strong><\/h2>\n\n\n\n

<\/p>\n\n\n\n

                                   MOCK <\/strong>EXAMINATION<\/strong><\/p>\n\n\n\n

  Examination malpractices may lead to a repeat of the subject or suspensions don\u2019t be involved.<\/em><\/strong><\/p>\n\n\n\n

SUBJECT:    FURTHER MATHEMATICS            TIME ALLOWED: 3HRS         <\/strong>CLASS:     S.S 3<\/p>\n\n\n\n

                                    OBJECTIVES<\/p>\n\n\n\n

1.       Which of the following sets is equivalent to (PUQ)\u2229(PUQ)? A. P  B.P\u2229Q  C. PUQ  D. <\/p>\n\n\n\n

2.       Simplify:  A. \u2013Tan    B. -cos   C. tan   D. cos.<\/p>\n\n\n\n

3.       Solve the inequality x2<\/sup> –  2x  3. A. -1  x  3 B. x  3 or  -1 C. x  3 or x  -1 D. -1  x  3<\/p>\n\n\n\n

4.       Given that sin x = –\u221a3<\/sup>\/2<\/sub> and cos x > 0, find the value of x. A. 3000<\/sup> B. 2400<\/sup> C. 1200<\/sup> D. 600<\/sup><\/p>\n\n\n\n

6.       Evaluate: log10<\/sub> (1<\/sup>\/3<\/sub> + 1<\/sup>\/4<\/sub>) + 2 log10<\/sub>2 + log10<\/sub>(3\/<\/sup>7<\/sub>).    A. -3    B. 0   C. \u00ad<\/sub>5<\/sup>\/6<\/sub>   D. 1<\/p>\n\n\n\n

7.       Simplify:       x3n+1<\/sup> <\/p>\n\n\n\n

                             X2n+5\/2<\/sup> \u221ax2n-3<\/sup>               A. 0     B. \u00bd    C. 1   D. 10<\/p>\n\n\n\n

8.       If (x + 1) is a factor of the polynomial x3<\/sup> + px2<\/sup> + x + 6 = 0, Find the value of p.  A. -8 B. -4 C. 4 D. 8<\/p>\n\n\n\n

9.       The Equation of a circle is 3x2<\/sup> + 3y2<\/sup> + 24x \u2013 12y = 15, Find it radius. A. -8 B. -2 C. 2 D. 8<\/p>\n\n\n\n

10.     The polynomial is defined by f(x+1) = x3<\/sup> + 3x2<\/sup> \u2013 4x + 2,Find f (2). A. -8   B. -2  C. 2  D. 8<\/p>\n\n\n\n

11.     If the midpoint of the line joining (1-k, -4) and (2, k+1) is (-k, k), Find the value of k.   A. -4    B. -3   C. -2   D. -1<\/p>\n\n\n\n

12.     Evaluate \u222b3<\/sup>-2<\/sub>  (3x2 <\/sup>\u2013 2x -12)dx   A. -30    B. -18   C. -6    D. 6<\/p>\n\n\n\n

13.     If y =x3<\/sup> \u2013 x2 <\/sup>\u2013x + 6, find the values of x at the turning points.   A. \u00bd, -3   B. 1\/3, -1\/2   C. 1, -1\/3   d. 1, 1\/3<\/p>\n\n\n\n

14.     Given that n<\/sup>Pr<\/sub> = 90 and n<\/sup>Cr<\/sub> = 15, find the value of r.      A. 2     B. 3    C. 5   D. 6<\/p>\n\n\n\n

15.     Which one of the following options is not a measure of central tendency? A. Mode B. Variance C. Mean    D. Median<\/p>\n\n\n\n

16.     A fair die is tossed twice. Find the probability of obtaining a 3 and a 5. A. 5<\/sup>\/12<\/sub> B. 1<\/sup>\/18<\/sub> <\/p>\n\n\n\n

  C. 2<\/sup>\/9 <\/sub>  D. 1<\/sup>\/36<\/sub><\/p>\n\n\n\n

17.     Find the values of x at the point of intersection of the curve y = X2<\/sup> + 2x -3 and the line y +x=1.  A. (1, -2)   B. (0, 4)   C. (2, -3)   D. (1, -4)<\/p>\n\n\n\n

18.     Find the constant term in the binomial expression of (2x \u2013 3\/x)8<\/sup>. A. 90720 B. 1296 C. 1120      D. 672<\/p>\n\n\n\n

19.     Find the values of x at the turning points of the curve y =x3<\/sup> \u2013 2x2<\/sup>+ x + 1        A.  1 and 1<\/sup>\/3<\/sub>     B. -1 and 3    C. 0 and 1<\/sup>\/3<\/sub>    D. -1 and 1<\/sup>\/3<\/sub><\/p>\n\n\n\n

20.     If \u0192:x=1 +2x and g:x=-,where x   R,and x \u2260 -1,find g (f(2)) A. -5\/3 B. -1\/6 C. 1\/6 D. 5\/3<\/p>\n\n\n\n

21.     If r = 2i + j, m = 2i \u2013 j and n = -12i + 3j, find r + 2m + 1\/2n  A. 3\/2j B. 1\/2j C. 1\/3j D. -1\/2j<\/p>\n\n\n\n

22.     Find the limit of the function    A. -6     B. -3    C. 3    D. 6<\/p>\n\n\n\n

23.     Evaluate log4<\/sub> 0.3 \u2013 log4<\/sub> 0.48 + log4<\/sub> 0.05   A. -8    B. -5\/2    C. -2\/5    D. -1\/8.<\/p>\n\n\n\n

24.     In triangle PQR.PQ =3i \u2013 4j and PR =- 2i \u2013 7j. Find QR. A. -5i + 11j B. -5i + 3j C. -5i \u2013 3j D. -5i \u2013 11j<\/p>\n\n\n\n

25.     If V = 4 \u00b5r3<\/sup> and S = 8 \u00b5r2<\/sup>, find dv\/ds.     A. 1\/4r    B. 1\/2r   C. 2\/3r   D. 3\/4r<\/p>\n\n\n\n

26.     If x =   Y =  <\/sup>and z = , <\/sup>find 2x \u2013 3y +z  A.   B.   C.   D. <\/p>\n\n\n\n

27.     Simplify 8n <\/sup>\u00d7 22n <\/sup>\u00f7 43n<\/sup>.  A. 2-n <\/sup>  B.  21-n<\/sup> C. 2n   <\/sup>D. 2n+1<\/sup><\/p>\n\n\n\n

28.     Simplify  ( \u2013 1)3 <\/sup> A.  6 \u2013 9  B.  2 \u2013 10  C.  2 \u2013 9   D.  6 \u2013 10<\/p>\n\n\n\n

29.     Given that the domain of f(x) = x2 <\/sup>+ 1   is {-2, -1, 0, 1, 2}. A.  {3, 0, -1} B.  {5, 2, 1} C.   {3, 1, 5}   D.  {2, 0, -1}<\/p>\n\n\n\n

30.     If     = 3r2<\/sup>  – 1 and A<\/em> = 2  when r = 1, find A<\/em> when  r = 2.  A.  -10   B.  -8   C.  8 D.10.<\/p>\n\n\n\n

 31.    calculate the angle between a = -4i + 2j and b = I \u2013 3j. A. 450<\/sup> B. 600 <\/sup>C. 1350 <\/sup>D. 3150<\/sup><\/p>\n\n\n\n

32.     The constant term in the expansion of (x-6 <\/sup> is  A. -20 B. 15 C. 60 D 120<\/p>\n\n\n\n

33.     If f(x) = , x \u2260 1, find f ( – ) A. -22 B. -11 C. 11 D. 22<\/p>\n\n\n\n

34.     Express (14N, 2400 <\/sup>) as a column vector. A.   B.     C.     D.   <\/p>\n\n\n\n

35.     If   = 33, find the value of x. A. 2  B. 3 C. 4 D. 5 E. 6<\/p>\n\n\n\n

36.     What force will produce a velocity of 1.6ms-1 <\/sup>in 8s on a body of mass 0.4kg? A. 0.8N B. 0.06N C. 0.06N D. 0.8N E. 0.1N<\/p>\n\n\n\n

37.     Give that  =  +   A. A = , B =   B. A = , B =   C. A = , B =2 D. A = , B = <\/p>\n\n\n\n

38.     A matrix is said to be singular if the determinant is.  A. Negative B. One C. Positive D. Undefined<\/p>\n\n\n\n

39.     Evaluate   log, 512 = 3.  A. 2 B. 3 C. 8 D. 16<\/p>\n\n\n\n

40.\u00a0\u00a0\u00a0\u00a0 Find h-1 <\/sup>(-) if h (x) = , x \u2260 5 A.\u00a0 -20\u00a0\u00a0 B. \u00a0\u00a0\u00a0\u00a0\u00a0 C.\u00a0\u00a0\u00a0 \u00a0\u00a0\u00a0 D.\u00a0 <\/p>\n\n\n\n

SS3<\/em> FURTHER MATH MOCK EXAM QUESTIONS – Enoteprime.COM<\/a><\/em><\/strong><\/p>\n\n\n\n

THEORY<\/strong>: Answer any ten question from this part.<\/h3>\n\n\n\n

1.       Find the centre and radius of the circle.  3x2 <\/sup>+ 3y2<\/sup> + 4x \u2013 5y +2 = 0<\/p>\n\n\n\n

2.       if x<\/sup>C3<\/sub>= , Find x<\/p>\n\n\n\n

             x<\/sup>P2<\/sub><\/p>\n\n\n\n

3.       Write out the equation of the following ellipse in its canonical or standard form.<\/p>\n\n\n\n

          2x2 <\/sup>+ 5y2<\/sup> + 8x \u2013 10y 3 = 0<\/p>\n\n\n\n

4.       A binary operation      is defined on the set R of real numbers by x     y = 2x + 2y \u2013 1<\/p>\n\n\n\n

                                                                                                                                        2<\/p>\n\n\n\n

          x,y \u20acR. find the neutral element in R under the operation.<\/p>\n\n\n\n

5.       If U  =   {1,2,3,4,5,6,7,8,9,10} and A= {2, 5, 8} while B = {even numbers}, find (i) A \u2229 B   (ii) A U B (iii) A \u2229 B1<\/sup>   (iv) A1<\/sup>\u2229 B<\/p>\n\n\n\n

6.       Vectors p, q and r are given by p =     q =      and r =    <\/strong>Find (i) 4p \u2013 q + 5r                   (ii) Position vectors of p, q and r<\/p>\n\n\n\n

7.       A binary operation is defined on the set R, of real numbers by<\/p>\n\n\n\n

            x * <\/sup>y = x2<\/sup> where x, y \u20acR<\/p>\n\n\n\n

                   x + y              (a)Evaluate (2 * 3) * 5  (b)if (x +1) * (x +2) = , Find the value of x<\/p>\n\n\n\n

8.       Using the binomial theorem, obtain the expansion of (1 + 3x)6 <\/sup>+ (1 – 3x)6<\/sup><\/p>\n\n\n\n

9.       Given that tan 2A= 2 tan A<\/p>\n\n\n\n

                                      1 \u2013 tan2<\/sup> A. Evaluate tan 150<\/sup>, leaving your answers in surd form<\/p>\n\n\n\n

10.     (i) In a hotel, the breakfast menu is a choice between yam (Y) or plantain (P) or both. The following venn diagram shows the choices made by guests of the Hotel.<\/p>\n\n\n\n

          P                                                       Y<\/p>\n\n\n\n

(2x + 1)      x       (x \u2013 2)2<\/sup>        <\/p>\n\n\n\n

          (a) Find the value of x.<\/p>\n\n\n\n

          (b) Number of guest who choose only one of yam and plantain.<\/p>\n\n\n\n

11.     (i) Prove that the equation of a parabola is given by y2<\/sup><\/p>\n\n\n\n

(ii) Write the equation of parabola in its canonical or standard form. Hence, y2<\/sup> \u2013 6y \u2013 2x + 19 = 0<\/p>\n\n\n\n

12.     The position vectors of two points x and y are x= -2i + 5j and y = i -7j<\/p>\n\n\n\n

          Find:<\/p>\n\n\n\n

          (i)  3x + 2y           (ii)  y \u2013 2x<\/p>\n\n\n\n

          (iii)  the angle between x and y<\/p>\n\n\n\n

          (iv) the unit vector in the direction of x + y<\/p>\n\n\n\n

13.     (a) A committee of 4 people is to be chosen from 5 married couple\u2019s. find the number of ways the committee can be chosen if:<\/p>\n\n\n\n

          (i) everyone is equally eligible<\/p>\n\n\n\n

          (ii) the committee should include at least one woman.<\/p>\n\n\n\n

          (b) Find the number of ways of arranging N people in a straight line, if two particular people must always be separated.<\/p>\n\n\n\n

SS3<\/em> FURTHER MATHEMATICS MOCK EXAM QUESTIONS – Enoteprime.COM<\/a><\/em><\/strong><\/p>\n","protected":false},"excerpt":{"rendered":"

SS3 FURTHER MATHEMATICS MOCK EXAM QUESTIONS – Enoteprime.COM. Further Maths. Which of the following sets is equivalent to (PUQ)\u2229(PUQ)? <\/p>\n","protected":false},"author":1,"featured_media":15247,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":[],"categories":[6069,6072],"tags":[5253,2589,6073],"yoast_head":"\nFURTHER MATHS MOCK EXAM QUESTIONS FOR SS3<\/title>\n<meta name=\"description\" content=\"SS3 FURTHER MATHEMATICS MOCK EXAM QUESTIONS - Enoteprime.COM. Further Maths. 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Further Maths. 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