# Mathematics Second Term Examination Questions 2019/2020 Session – Senior Secondary School Two (SSS 2)

**EDUDELIGHT GROUP OF SCHOOLS**

**2 ^{ND}
EXAMINATION 2010/2011**

** SUBJECT: ** **MATHEMATICS ** **CLASS:
S.S. 2**

**SECTION
A**

INSTRUCTION: Answer all the questions in this section

- Find (101
_{2})^{2}express your answer in base 2 (a) 10101 (b) 11001 (c) 19119 (d) 1101 - Simplify: 0.027
^{-1/3}(a) 3^{1}/_{3}(b) 3 (c)^{1}/3 (d)^{3}/10 - Solve the inequality:
^{1}/_{3}(2x-1)<5 (a) x < -6 (b) x < 8 (c) x < -5 (d) x < 16 - What is the smaller value of x for which x
^{2}+ 3x + 2 = 0? (a) -1 (b) -2 (c) 1 (d) 2 - Factorize the expression x(a-c) + y(c-a) (a) (a-c) (y-x) (b) (a-c) (x-y) (c) (a+c) (x-y) (d) (a-c) (x + y)
- Solve the equation 3x
^{2}+ 2x – 18 = 0 (a) -3, 2 (b)^{-2}/_{3}, 9 (c) -2, 9 (d) -2, 3 - Solve the equation (x+2) (x-7) = 0 (a) 1 or 8 (b) 2 or 7 (c) -4 or 5 (d) -5 or -2
- The bearing of two point Q and R from a point Q are 030
^{0}and 120^{0}respectively. If /PQ/= 2m and /PR/ = 5m. Find the distance QR (a) 13m (b) 11m (c) 9m - Find dy/dx of x
^{3}– 6x^{2}+ 12x – 8 (a) 3x^{3}– 12x + 12 (b) 3x^{2}– 12x + 12 (c) 3x^{2}+ 12x – 12 (d) 3x^{2}= 12x -8 - If dy/dx moves from the positive to a negative number there arises a (a) Maximum point (b) minimum point (c) point of inflection (d) stationary point
- If two point A(2, -3), b(3, 4) are points on the graph. What is the gradient of the curve (a( 1 (b) 7 (c) -7 (d) -1
- If x varies over the set of real numbers which of the following is illustrated in the diagram above? (a) -2 < x < 3 (b) -2 < x < 3 (c) -2 < x < 3 (d) -2 < x < 3
- In triangle XYZ below XM is the altitude from X to YZ. XY = 15cm, and YM = 5cm. find the length of YZ. (a) 9cm (b) 14 cm (c) 12cm (d) 19.85cm
- Two angles of a triangle are 41
^{0}and 49^{0}which of the following is true? It is (a) An equilateral triangle (b) a right angled triangle - If sin
~~O~~=^{ -1}/_{2}, find the value of~~O~~between 0^{0}and 360^{0}(a) 120^{0}, 240^{0}(b) 210^{0}, 330^{0}(c) 120^{0}, 180^{0}(d) 210^{0}, 300^{0}A tree is 8km due south of a building, Kofi is standing 5km west of the tree. Use this information to answer question 17 and 18. - How far is K from the building (a) 4 2km (b) 8km (c) 8 2km (d) 16km
- Find the bearing of Kofi from the
building (a) 315
^{0}(b) 270^{0}(c) 225^{0}(d)135^{0} - Find the bearing of equivalent to 550
^{0}W (a) 040^{0}(b) 130^{0}(c) 220^{0}(d) 230^{0} - If sin 2
~~ө~~= cos~~ө~~find~~ө~~(a) 40 (b) 22.5 (c) 45 (d)50 - If Sin 2 Ө = Cos Ө find Ө (a) 40 (b) 22.5 (c) 45 (d) 2.30

**THEORY**

Answer all questions

- (a) A
point P is 40km from Q on a bearing of 061
^{0}calculate, correct to one decimal place, the distance of P to (i) North of Q (ii) East of Q

(b) Illustrate graphically and shade the region in which the inequalities Y – 2x < 5. 2y = x > 4

- Using the first
principle, differentiate 2 x
^{2}+ 2x – 3. - Two men P and Q set off
from a base camp R prospecting for oil. P moves 20 km on a bearing of 205
^{0}and Q move, 15km on a bearing of 060^{0}. calculate the (a) distance of Q from P (b) bearing of Q from P (Give your answer in each case correct to the nearest whole number)