Further Mathematics and Mathematics Third Term Examination Questions 2019/2020 Session – Senior Secondary School (SSS 2)

                                  EDUDELIGHT SCHOOLS

                1 BENSON AVENUE, LEKKI PHASE 1, LAGOS.

                     CONTINUOUS ASSESSMENT   2019/2020  SESSION.

SUBJECT: MATHEMATICS          CLASS: S.S 2          TIME: 40 MINS

ANSWER ALL QUESTIONS.
1.Three towns  P , Q and R are such that the distance between P and Q is 50km  and  the distance between P  and  R is 90km.If the bearing of Q from P is 075ᵒ and the bearing of R from P is 310ᵒ, find the:
(a)distance between Q  and  R                                                              (2Marks)
(b)bearing of  R from Q.                                                                          (4Marks)
(c) bearing of  P from R .                                                                         (4Marks)

2. Simplify :  (5Marks)

 OBJECTIVES

1.From a point P, R is 5km due west and 12km due south.Find the distance
between P and R.  A. 5km  B.12km  C.13km   D.17km
2.A fair die is tossed once , what is the probability of obtaining neither 5 nor
2? A.   B.     C.      D.
3.Simplify  :    3 – 12 + 16 , leaving your answer in surd form.
A. 29    B.14   C. 12   D.11
4.A  chord of length 6cm is drawn drawn in a circle of radius 5cm. Find the
distance of the chord from the centre of the circle.
A.2.5cm  B.3cm   C.3.5cm   D.4cm
5. #140 , 000 is shared between Abu , Kayode and Uche. Abu has twice as much
as  Kayode, and Kayode has twice as much as Uche. What is Kayode’s share?
A. #80 , 000  B. #40 , 000  C. #20 , 000    D. #10 , 000
6.For what value of  x is the expression   not defined? A.3  B.2  C.   D. -3
7.Each interior angle of a regular polygon is 162ᵒ .How many sides has the
polygon?.    A.8      B.12     C.16     D.20
8.A sector of a circle of radius 14cm containing an angle 60ᵒ is folded to form a
cone. Calculate the radius of the base of the cone.
A.5.5cm  B.4.67cm  C.3.5cm   D.2.67cm
9.If y% of 240 equals 12 , find y.  A. y = 1  B.y=3   C.y=5  D.y=7
10.P naira invested for 4years at r% simple interest per annum yields 0.36P naira
interest. Find the value of r.  A. 6  B.7  C.8  D.9
11.A trader bought 100 tubers of yam at 5 for #350. She sold them in set of 4 for
#290.Find her gain percent.  A. 3.6%   B.3.5%   C.3.4%   D.2.5%
12. If  p – 2g + 1 = g + 3p  and  p – 2 = 0 , find g.  A. – 2   B.  – 1  C. 1  D.2
13.Simplify :      A.     B.    C.        D.
14.If 4y is 9 greater than the sum of y and 3x, by how much is y greater than x?
A. 3   B.6   C.9   D.12
15 .Factorize :  5y²  + 2ay – 3a² .
A.(a – y)(5y – 3a) B. ( y – a )(5y – 3a)  C. ( y – a)(5y + 3a)  D. ( a + y)(5y – 3a).

                           EDUDELIGHT SCHOOLS

             1 BENSON AVENUE, LEKKI PHASE 1, LAGOS.

  CONTINUOUS ASSESSMENT   2019/2020 SESSION.

SUBJECT: FURTHER – MATHS          CLASS: S.S 2          TIME: 40 MINS

THEORY

ANSWER  ALL  QUESTIONS.

1. If f(x) = 4x² , find

Lim       f( x+h) – f(x)                                     

hà0                h                                                                       (8Marks)

2. Find the gradient function of

Y = 2x² – 3x + 1, using the first principle method.                  (7Marks)

 OBJECTIVES

Use the question Below to answer questions 1,2 and 3

If  and  are the roots of the equation 4x² + 3x = 7. Find

. (a) 4/7 (b) 3/4 (c) -3/4 (d) -7/4

.  (a) 4/7 (b) -7/4 (c) -3/4 (d) ¾

+ . (a) -7/4 (b) -3/4 (c) -21/16 (d) 21/16

4. Evaluate . (A) 6 (B) 5 (C) 3 (D) 2
5. Evaluate . (A) 6 (B) 5 (C) 3 (D) 2
6. If (3x – 1) is a factor of the polynomial f(x) = 4x³ – 4x² – X + P, find the value
   of constant p.           (A) 7/27 (B) 17/27 (C) 5/27 (D) -7/27
7. If x is inversely proportional to y and x = 2when y = 2. Find x when y = 4
   (A) 4   (B) 5  (C) 2  (D) 1
8. Evaluate ⁵C₃ + ⁵C₂ (A) 40 (B) 30 (C) 20  (D) 10
9. Polynomial is defined by
   (A) -8 (B)-2 (C)12  (D)14
10. If the mid-point 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
11. In computing the mean of 8 numbers, a boy mistakenly used 17 instead of 25 as
    one of the numbers and obtained 20 as the mean. Find the correct
    (A)19 (B) 21 (C) 23 (D) 24
12. Given that ⁿP_r =90 and ⁿC_r =15, find the value of r. (A) 2  (B) 3 (C) 5 (D) 6
13. Which of the following options is not a measure of Central Tendency.
    (A) Mode  (B) Variance (C) Mean (D) Median
14. Find the number of different arrangements of the letters of the word IKOTITINA. (A) 30240(B) 60840  (C) 120960  (D) 362880
15. A box contains 4 red and 3 blue identical balls. If two balls are picked at random,
    one after the other without replacement, find the probability that one is red and
    the other is blue.     (A)   (B)  (C)   (D)