{"id":15292,"date":"2021-06-15T13:53:33","date_gmt":"2021-06-15T13:53:33","guid":{"rendered":"https:\/\/enoteprime.com\/?p=15292"},"modified":"2021-06-15T13:54:10","modified_gmt":"2021-06-15T13:54:10","slug":"mathematics-exam-questions-for-ss2-first-term","status":"publish","type":"post","link":"https:\/\/enoteprime.com\/mathematics-exam-questions-for-ss2-first-term\/","title":{"rendered":"MATHEMATICS EXAM QUESTIONS FOR SS2 FIRST TERM"},"content":{"rendered":"\n

FIRST TERM<\/em> SS2 MATHEMATICS EXAMINATION QUESTIONS – Enoteprime.COM<\/a><\/em><\/strong><\/h2>\n\n\n\n

FIRST TERM EXAM MATHEMATICS<\/strong><\/p>\n\n\n\n

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

Examination malpractices may lead to a repeat of the subject or suspensions don<\/em><\/strong>\u2019<\/em><\/strong>t be involved.<\/em><\/strong><\/p>\n\n\n\n

SUBJECT: MATHEMATICS                                                    SS 2   <\/strong>TIME:           2HRS<\/strong><\/p>\n\n\n\n

OBJECTIVES:     Instruction: Answer all questions<\/p>\n\n\n\n

1.     If f (x) = -3x – 5, what is the value of  f (2) ?            A. -11       B.  -1       C.  1   
          D.11<\/p>\n\n\n\n

2.     simplify: A. 1+cosx    B. 1     C. sin(2x)    D. cos(2x)<\/p>\n\n\n\n

3.  find the value of x.   A. 3     B.1      C.       D.        <\/p>\n\n\n\n

4.     Simplify:    is    A. 6(1-3k2<\/sup>)    B. 6(3k2<\/sup>-1)     C.  6(3k-1)  6(1-3k)<\/p>\n\n\n\n

5.     If sin x = -sin 70o<\/sup>, 0o<\/sup>< x <360o<\/sup>determine the two possible values of x.  
           A. 1100,   <\/sup>250o     <\/sup>B. 2500,<\/sup>2900<\/sup>     C. 1100<\/sup>, 2900         <\/sup>D.2000<\/sup>,2500<\/sup><\/p>\n\n\n\n

6.      If g (x) = 3x\u00b2 – 2x – 5, what is the value of g (-1)?      A.  3    B. 2      C. 1     D. 5<\/p>\n\n\n\n

7.       What is the value of   sin(-240)     A.      B.     C.   D. <\/p>\n\n\n\n

8       Form the equations whose roots are  x=  and x = –    A.6x2<\/sup>+x-2  B. 6x2<\/sup>+x+2  C. 6x2<\/sup>-x+2  D. 6x2<\/sup>-x-2<\/p>\n\n\n\n

9       What is the distance between the points  P(-1,3) and Q(2,-1)   A. 23    B.25    C.5    
           D. 3<\/p>\n\n\n\n

10.    One of the factors of (mn-nq-n2<\/sup>+mq) is (m-n). The other factor  is :  
(a) (n-q)   (b) ( q-n)   (c) (n+q)  (d) (q-m)<\/p>\n\n\n\n

11.      The length of a piece of stick is 1.75m. A girl measured it as 1.80m. Find the
          percentage error.   A.     B.   C.    D. 5%<\/p>\n\n\n\n

12.              If  and . Find      C.     D.                  <\/p>\n\n\n\n

13.    Given that    .    What is the value of ?   A. 10      B.4 C.3         D.14<\/p>\n\n\n\n

14.    What value of x in the interval  satisfies the equation   ?    A.  -300<\/sup>    B. 30o <\/sup>   C. 45o<\/sup>    D. 150o<\/sup><\/p>\n\n\n\n

15.   Simplify:     (a)  3    (b)  5    (c)         (d)  <\/p>\n\n\n\n

16.    The height of a cylinder is equal to it\u2019s radius. If the volume is 0.2163<\/sup>, calculate the radius.
(a)  0.46m  (b) 0.60m  (c) 0.87m   (d) 1.80m<\/p>\n\n\n\n

 17.   Which of these is a factor of       A: x+3    B: x-4    C: x+2    D: x-1<\/p>\n\n\n\n

18.    Suppose , then  is A. 1   B.          C.            D.      <\/p>\n\n\n\n

19.     Given that   tan x = , what is the value of sin x + cos x?         A.      17<\/sup>\/13<\/sub>   B.          5<\/sup>\/13<\/sub>
 C.     7<\/sup>\/13<\/sub>    D.      12<\/sup>\/13<\/sub><\/p>\n\n\n\n

20.     If x + y =1;  2y-x=5,  Find the value of x.   A. 3B. 2    C. 1  D. -1<\/p>\n\n\n\n

21.     The sum of 12 and one third of n is more than twice n. Express the statement in <\/p>\n\n\n\n

           the form of an equation.    A. 12n-6=0    B. 3n-16=0    C. 2n-35=0      D. 5n-33=0<\/p>\n\n\n\n

22.    Express   as a simple fraction   A.  B. C.   D. <\/p>\n\n\n\n

23.     If  P(x)=x2<\/sup>+3     Then P(x) + p(-x)    A. 6    B. C. D. 0<\/p>\n\n\n\n

24.     Given that , . Then  is   A.     B. C. 0        D. 2<\/p>\n\n\n\n

25.    If g (x) = 3x\u00b2 – 2x – 5, what is the value of g (-1)   A. -4    B. -10    C.-6     D.  0<\/p>\n\n\n\n

26.    What is the value of the discriminate of the quadratic equation     
          A.-13    B.13   C.49   D.<\/p>\n\n\n\n

27.    If y varies directly as the square root of (x+1) and y=6 when x = 3, find x when y =      
          9.      A. 8    B. 7   C. 6    D. 5<\/p>\n\n\n\n

28.    If x+1 is a factor of  then the value of k is     A. 2    B. 3   C. -3    D. 4<\/p>\n\n\n\n

29.    If ), then b is   A. 0     B. 7   D.
30.    When a number is subtracted from 2, the result equals 4 less than one-fifth of the   
          number. Find the number.   (A) 11  (B)   (C) 5  (D) <\/p>\n\n\n\n

31.    Solve for x in 7x +4 < (4x+3)   (A) x >     (B)  x  < –     (C) x >    (D) x < <\/p>\n\n\n\n

32.    If X= , Y =  and Z =  are subsets of U= ,
Find X     A.    B.   C.   D. <\/p>\n\n\n\n

33.    Subtract (a-b-c) from the sum of (a-b+c) and (a+b-c)   A. (a+b+c)   B. (a+b-c)  C. (a-b+c)   D.  (a+b-c)  <\/p>\n\n\n\n

34.   A man\u2019s eye level is 1.7m above the horizontal ground and 13m from a vertical pole. If the pole is 8.3m high,  calculate correct to the nearest degree, the angle of elevation of the top of the pole from his eyes.<\/p>\n\n\n\n

        A. 33o       <\/sup>B. 32o      <\/sup> C.  27o          <\/sup>D.  26o<\/sup><\/p>\n\n\n\n

35.   If a number is selected at random from each of the sets P= and Q= , find the probability that the sum of the numbers is prime.  
A.       B.        C.      D. <\/p>\n\n\n\n

\"Oval:36.  <\/p>\n\n\n\n

\"Isosceles                  o               S      <\/p>\n\n\n\n

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

<\/td><\/tr>
<\/td><\/td><\/tr><\/tbody><\/table><\/figure>\n\n\n\n

                           Q              R<\/p>\n\n\n\n

        In the diagram, O is the centre of the circle, PR is a tangent to the circle at Q and <SOQ =86o<\/sup>, calculate the value of < SQR. 
A. 43o   <\/sup>B. 47o <\/sup> C. 54o   <\/sup>D.  86o<\/sup><\/p>\n\n\n\n

37.   A trader bought 100 oranges at 5 for N<\/s>40 and sold them at 20 for N120. Find the profit or loss percent.  (a) 20% loss (b) 20% profit  (c) 25% loss (d) 25% profit<\/p>\n\n\n\n

38.   A letter is selected from the letters of the English alphabet. What is the probability that the letter selected is from the word MATHEMATICS?
 A.      B.      C.     D.  <\/p>\n\n\n\n

39.    Approximate 0.03457 to 1 significant figure. (a) 0.0 (b) 0.03 (c) 0.0005  (d) 0.004.<\/p>\n\n\n\n

40.    Calculate 0.09 x 0.78 correct to 3 decimal places. (a) 0.070 (b) 0.071 (c) 0.007 (d)
         0.0702.<\/p>\n\n\n\n

41.  The nth term of the sequence 6, 8, 10, 12\u2026 if n= 1-  is   A.  2n+3   B. -3n+6 
        C. 2n+4  D.  \u2013n-1<\/p>\n\n\n\n

42.   The sum of the infinite progression 3, 1,          (a) 4   (b)  6   (c) 2  (d) 5

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

 43.  The second and seventh term of a GP are 18 and 4374 respectively, what is the common ratio?     (a)  6   (b) 3      (c)  4     (d)  2<\/p>\n\n\n\n

 44.  The terms that must be added to x2<\/sup> + 12x to make it a perfect square is  
 (a)  24    (b)  -18       (c)  16      (d)  36<\/p>\n\n\n\n

 45.  The breadth of a field is 3m less than its length. If the area is 180m2<\/sup>,   
  What are the dimensions of the rectangle? 
  (a) 15m,12m  (b)  8m, 6m  (c) 13m, 10m   (d)  9m, 6m<\/p>\n\n\n\n

 46.  If 3x+3y<\/sup>=3  and  52x+y<\/sup>=25. Find 2x+2y   <\/sup> (a)  4    (b)  1<\/sup>\/2      <\/sub>(c)  7    (d)  2<\/p>\n\n\n\n

47.   The sum of two numbers x and y , is twice their difference. If the difference between the numbers is p, find x in terms of p and y.  
(a) x=y-2p    (b) x= 2y-3p    (c)  x= 2y-p   (d) x= 2p-y<\/p>\n\n\n\n

48.   A \u2026\u2026\u2026. Is the sum of the terms of a sequence  (a)  finite series (b)  infinite series   (c) exponential series   (d)  series<\/p>\n\n\n\n

49.   A  car travels a distance of 100km for 1hr 39min. Calculate the speed of the car. If the time is rounded up to the nearest hour, find the difference between the actual and the estimated speed.   (a)  11.61km\/h    (b)  9.61km\/h   (c)  10.61km\/h   (d)  12.61km\/h<\/p>\n\n\n\n

50.\u00a0\u00a0 Geometrical progression is also known as \u2026\u2026\u2026\u2026\u2026..\u00a0
(a) Linear Sequence\u00a0 (b) Composite Sequence (c) Constant Sequence\u00a0 (d)\u00a0\u00a0 Exponential Sequence<\/p>\n\n\n\n

FIRST TERM<\/em> SS2 MATHEMATICS EXAMINATION QUESTIONS – Enoteprime.COM<\/a><\/em><\/strong><\/p>\n\n\n\n

                                SECTION B: THEORY<\/p>\n\n\n\n

                          Answer four questions only. No 1 question is compulsory<\/p>\n\n\n\n

  1.          Use the table of logarithm to evaluate the following<\/li><\/ol>\n\n\n\n
    1.             b.     0.9513<\/sup>   <\/li><\/ol>\n\n\n\n

      2a.        The fourth term of a linear sequence is 37 and the 6th term is 12 more than
      the fourth term . Find the (i) first term (ii) common difference (iii) twentieth term<\/p>\n\n\n\n

           b.           Solve the inequality:    <\/p>\n\n\n\n

           3a.         The sum of the first three terms in an exponential sequence is 38 and their product is 1728. Find the values of the first three terms.<\/p>\n\n\n\n

             b.         Find the constant that must be added to make each of the following expressions a perfect square,then factorize<\/p>\n\n\n\n

                         (i)  4a2 <\/sup>\u2013 10a           (ii)  z2<\/sup> – z<\/p>\n\n\n\n

           4a.        The 2nd and 5th term of a Geometric Progression are -6 and 48 respectively.   Find the sum of the first four terms.<\/p>\n\n\n\n

           b.         Use completing the square method to solve the quadratic equation
                         3k2<\/sup>+4k+1=0

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

           5a.         Proof: ax2<\/sup>+bx+c =0 is x=  -b\u00b1   using completing the square<\/p>\n\n\n\n

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

           b.          The breadth of a field is 5m less than the length. If its area is 36m2<\/sup>, find the   
                dimensions of the field.<\/p>\n\n\n\n

           6a.         Find the sum and products of the roots of the following quadratic equations.<\/p>\n\n\n\n