# Further Mathematics Third Term Examination Questions 2019/2020 Session – Senior Secondary School One ( SSS 1)

EDUDELIGHT SECONDARY SCHOOL

1 BENSON AVENUE, LEKKI PHASE 1, LAGOS.

CLASS: S.S.S.1              SUBJECT: FURTHER MATHEMATICS   TIME: 2 HOURS

OBJECTIVE

1. The sum of the first three term of an A.P is 18. If the first term is 4. Find their product. (a) 130 (b) 192 (c) 210 (d) 260
2. Two function f and g are defined on the set R of real numbers by and . Find the value of  (a) 12 (b) 11 (c)  (d)
3. The gradient of the line passing through the points P ( 4, 5 ) and Q ( x, 9 ) is . Find the value of x. (a) – 4 (b) 0 (c) 4 (d) 12
4. Simplify (a)  (b)  (c) 3 (d)
5. Given that log2 y1/2 = log5 125, find the value of y. (a) 16 (b) 25 (c) 36 (d) 64
6. Simplify (a) 3 (b) 2 (c) (d)
7. The binary operation* is defined on the set R, of real numbers by for all . Determine, in terms of x, the identity element of the operation. (a)   (b)  (c)  (d)
8. Simplify: (a)  (b)  (c) 3 (d) 9
9. Simplify : (a) 0 (b) 1 (c) 2 (d)
10. Solve the equation (a) (b)   (c)  (d)
11. If , and  then, () is? (a)   (b)  (c)  (d)
12. Given that and , find () ? (a)  (b)  (c)

(d)

13.If , for value of  , find the value of tan . (a)  (b)   (c)  (d)

1. 14. If , then is (a) 90o (b) 50o (c) 45o (d) 40o
2. 15. If , find the value of (a) (b)   (c)   (d)
3. 16. If 5m-3 = 8 x 5-2, find the value of m. (a) 8/125     (b) 2/5     (c) 4/5  (d) 5/2

17.The gradient of the line passing through the point P(4,5) and Q(X,9) is ½.
Find the value of x.      (a) -4   (b) 0  (c) 4   (d) 12.

1. 18. If 16³ᵃ = ¼(32ᵃ – 1), find the value of a. (a) -1  (b) -⅓ (c) ⅔ (d) ⅘.
2. Calculate, correct to one decimal place, the length of the line joining points
X(3, 5) and Y(5, 1). (a) 4.0  (b)2  (c) 4.5  (d) 5.0
3. In a class of 50 pupils, 35 likes Science and 30 like History. What is the probability of selecting a pupil who likes both Science and History .
A. 0.10 B. 0.30 C. 0.60 D. 0.70.
4. A binary operation *, is defined on the set R, of real numbers by
a*b = a² + b + ab. Find the value of x for which 5*x = 37. (a) 7 (b) 2 (c) -2 (d) -7
5. If cot  , where  is an acute angle, find sin . (a)  (b)                (c)  (d)
6. Find the equation of the line parallel to and passing through (2, 3).

(a)  (b)  (c)  (d)

1. Find the gradient of the line passing through points P(1, 1) and Q(2, 5).

(a) 4  (b) 3  (c) 2  (d) 5

1. Find the distance between points () and ()  (a)   (b)          (c) 1  (d) 0
2. The third term of an A.P is – 9 and the 7th term is – 29. Find the 10th term of the progression.

(a) 44  (b) – 44  (c) 165  (d) – 165

1. Solve for and  if  and     (a) (1, 3)  (b) (-1,3)          (c) (3,1)  (d) (-3,1)
2. If is inversely proportional to  and   when  Find  when .

(a) 4  (b) 5  (c)   (d)

1. Solve the inequalities:

(a)  (b)  (c)  (d)

1. For what range of values of is  ?

(a)   (b)   (c)  (d)

1. Find the sum to infinity of the following series; 0.5 + 0.05 + 0.005 + 0.0005 + . . . (a)   (b)    (c)    (d)

Guardian. How many read both papers?      (a) 15  (b) 10  (c) 70  (d) 20

1. Rationalize (a)     (b)    (c)     (d)
2. Given that log 2 = 0.3010, log 7 = 0.8451, evaluate log 112.

(a) 2.5441  (b) 2.1461  (c) 2.0491  (d) 3.1461

1. Find the variance of 2 , 3 , 4 , 5 and 6.  (a) 2  (b) 4   (c) 16   (d) 18
2. Which of the following is not a measure of dispersion?
(a) Interquartile range (b) Mean deviation  (c) Median  (d) Variance
3. For the set of numbers: 1, 2, 3, 4, 4, 5, 6, 7, 8, 10. The mean, mode and median are, respectively (a) 5, 4 and 4.5   (b) 4.5, 4 and 5   (c) 4.5, 4 and 4.5   (d) 5, 4 and 4.

For the set of numbers 4, 6, 2, 10, 8, answer questions 37-40

1. Find the range  (a) 6  (b) 5  (c) 2  (d) 8
2. What is the median (a) 6  (b) 4  (c) 10  (d) 8
3. Find the mean (a) 6  (b) 4.5  (c) 8  (d) 1

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