# Mathematics Second Term Examination Questions 32019/2020 Session – Senior Secondary School Two( SSS 2)

** EDUDELIGHT SECONDARY SCHOOL**

** 1 Benson Avenue,
Lekki Phase 1, Lagos.**

**2ND TERM EXAMINATION FOR 2019/2020 SESSION****.**

**SUBJECT:**** MATHEMATICS**** CLASS: S.S 2 TIME: 2HRS 30Mins**

- Simplify: (a) 0 (b) 1 (c) 2 (d) 3.
- Which of the following is equal to (a) (b) (c) (d)
- Express in standard form. (a) (b) (c) (d)
- Evaluate (a) 6 (b) 5 (c) 4 (d) 2
- A string is 4.8m. A boy measured it to be 4.95m. Find the percentage error. (a) (b) (c) (d)
- The sum of the second and first term o0f an A.P is 4 and the 10
^{th}term is 19. Find the sum of the fifth and sixterms of the A.P. (a) 11 (b) 20 (c) 21 (d) 24 - If the 2
^{nd}and 5^{th}term of a G.P is 6 and 48, respectively, find the sum of the first four terms. (a) – 45 (b) 45 (c) – 15 (d) 15 - If find n. (a) 8 (b) 7 (c) 6 (d) 5
- Evaluate 3
^{y}= 81 (a) 3 (b) 4 (c) 5 (d) 6 - Round 0.00736 to 1 significant figure (a) 0 (b) 0.007 (c) 0.008 (d) 0.01
- Round 2.9999to 1 significant figure (a)3 (b) 2.9 (c) 3.0 (d) 2.10
- Factorize p – bq + q – bp (a) (p – q)(1 – b) (b) (p + q)(b – 1) (c) (p + q)(1 – b) (d) (p + q)(1 + b)
- Find the equation whose roots are and . (a) 6x
^{2}– x + 2 = 0 (b) 6x^{2}– x – 2 = 0 (c) 6x^{2}+ x + 2 = 0 (d) 6x^{2}+ x – 2 = 0 - Factorize x
^{2}+9x+14 (a) (x+7)(x+8) (b) (x+2)(x+7) (c) (x+1)(x+2) (d) (x+2)(x+8) - If , find the values of m and n. (a) m = 2, n = 3 (b) m = 3, n = 2 (c) m = 2, n = 5 (d) m = 5, n = 2
- Find the product of (x – 2) and (x + 4). (a) x
^{2}+2x + 8 (b) x^{2}– 2x + 8 (c) x^{2}– 2x – 8 (d) x^{2}+2x – 8 - If () is a factor of , find the value of the constant p. (a) – 12 (b) – 6 (c) 3 (d) 6
- Ada draws the graphs of y = x
^{2}– x – 2 and y = 2x – 1 on the same axes. Which of these equations is she solving? (a) x^{2}– x – 3 = 0 (b) x^{2}– 3x – 1 = 0 (c) x^{2}– 3x – 3 = 0 (d) x^{2}+ 3x – 1 = 0. - Find the common factors of (9r
^{2}– 16s^{2}) and (12r + 16s). (a) 4(3r + 4s) (b) 4(3r – 4s) (c) 3r – 4s) (d) (3r + 4s). - If 3x – y = 5 and 2x + y = 15, evaluate x
^{2}+ 2y (a) 29 (b) 30 (c) 42 (d) 35 - What is gradient of the line joining point [2, 5] and [5, 14]? (a) 5 (b) 4 (c) 3 (d) 2.
- Find the equation whose roots are ¾ and -4. (a) 4x
^{2}– 13x + 12 = 0 (b) 4x^{2}– 13x – 12 = 0 (c) 4x^{2}+ 13x – 12 = 0 (d) 4x^{2}+ 13x + 12 = 0. - A straight line passes through the point (2,3) and makes equal intercepts on the x and y axes. Find its equation. (a) x+y-1=0 (b) x-y-+5=0 (c) x-y+1=0 (d) x+y-5=0
- Solve the inequality: (a) (b) (c) (d)
- Solve: (a) (b) (c) (d)
- Twice a number is added to 5, the result is at least 11. What is the range of value for x? (a) (b) (c) (d)
- Tope had x oranges. She ate 2 and shared the remainder equally with chika. (a) (b) (c) (d)
- Find the range of value of x satisfying the inequalities: and (a) (b) (c) (d)
- Find the gradient of the line joining ( – 1, 2) and (3, -2) (a) -3 (b) -2 (c) -1 (d) 1
- Find the gradient of the line joining ( 0, – 1) and (4, 1) (a) ½ (b) ¼ (c) 2/3 (d) 2/5
- Determine the equation of a straight line whose gradient is – 1/3 and that passes through the point (-3,2). (a) x+3y=3 (b) x+y=3 (c) 3x+y=3 (d) x-3y=3
- Find the equation of the straight line passing through the points (1,4) and (-2,6) (a) 2x+3y=14 (b) 2x+3y=13 (c) 2x+3y=12 (d) 2x+3y=10
- What is the value of 3 in the number 42.7531? (a) (b) (c) (d)
- A town X is 64 km on a
bearing of 048
^{o}from another town Y. How far to the east of Y is X? (a) 47.6 km (b) 52.4 km (c) 60.6 km (d) 64.0 km - The following are
measures of central tendency
**except**(a) mean deviation (b) mean (c) median (d) mode - The heights, in cm, of 15 mango seedlings are: 23, 24, 20, 18, 23, 21, 21, 21, 20, 19, 25, 21, 22, 21 and 18. What is the median height? (a) 18cm (b) 19cm (c) 21cm (d) 23cm
- The mean of 6, 7, 11, y and 22 is 12. Find the value of y. (a) 10 (b) 11 (c) 13 (d) 14.
- The nth term of the sequence 3, 2, , , …, is (a) (b) (c) (d)
- An interior angle of a regular polygon is 4 times its exterior angle. Find the number of sides of the polygon. (a) 4 (b) 5 (c) 8 (d) 10
- A 1.8m tall man
observes a bird on a top of a tree. If the man is 21m away from the tree and
his angle of sighting the bird is 30
^{o}. Calculate the height of the tree. (a) 10.50m (b) 11.48m (c) 12.13m (d) 13.92 - Given that and . Find . (a) (b) (c) (d)
- Which of the following statement(s) is/are true when two lines intersect? I. Adjacent angles are equal II. Vertically opposite angles are equal III. Adjacent angles are supplementary. (a) II only (b) I and II only (c) I and III only (d) II and III only.
- Calculate,
if sin = cos.
(a) 35
^{o}(b)45^{o}(c) 55^{o}(d) 65^{o} - If sin = cos40
^{o}, find the value of . (a) 50^{o}(b) 30^{o}(c) 70^{o}(d) 40^{o} - Solve for if sin3 = cos4.
(a) 12.6
^{o }(b) 12.7^{o}(c) 12.8^{o}(d) 12.9^{o}. - A triangle has sides
8cm and 5cm and an angle of 90
^{o}between them. Calculatethe smallest angle of the triangle. (a) 32^{o}(b) 31^{o}(c) 29^{o}(d) 28^{o} - The adjacent sides of a
right-angle triangle are 25cm and 18cm, respectively. Calculate the smallest
angle of the triangle. (a) 35.75
^{o}(b) 35.74^{o}(c) 35.77^{o}(d) 35.76^{o} - Points X and Y are respectively 12m north and 5m east of point z. Calculate |XY|. (a) 14m (b) 15m (c) 13m (d) 8m.
- The diagonal of a rhombus are 16cm and 12cm. calculate the sides of the rhombus. (a) 11cm (b) 9cm (c) 13cm (d) 10cm.
- Given that n(P) = 19, n(PQ) = 28 and n(PQ) = 7, find n(Q). (a) 16 (b) 31 (c) 36 (d) 50

**THEORY:**

- Solve the inequality: and represent the solution on a number line. (b) Given that, (c) Express p in its simplest form; (ii) find the value of p if .
- A
tower and a building stand on the same horizontal level. From the point P at
the bottom of the building, the angle of elevation of the top T, of the tower
is 65
^{o}. From the Q of the building, the angle of elevation of the point T is 25^{o}. If the building is 20m high, calculate the distance PT. (b) hence or otherwise, calculate the height of the tower. (Give your answer correct to three significant figures). - Evaluate the following using logarithm table (a) (b)
- A
ball is dropped on the ground. The time interval between the 1
^{st}and 2^{nd}bounce is 1.2s. The interval between the 2^{nd}and 3^{rd}bounce is 0.9s. Assume that successive time intervals forms a G:P with infinite number of terms. Hence find the total time for which the ball bounces. (b) Given that,,,,… are the first four terms of an exponential sequence, find, in its simplest form the 8^{th}term and the sum of the first 8^{th}terms.