The document provides 20 multiple choice questions testing mathematics objectives related to topics like sets, algebra, trigonometry, and geometry. It then lists 18 additional practice problems involving algebraic expressions, logarithms, geometry constructions, data analysis, and solving equations both algebraically and graphically. The objectives and practice problems cover a wide range of foundational mathematics skills.

1. BAHRIA FOUNDATION COLLEGE
J BLOCK CAMPUS,NORTH NAZIMABAD KARACHI
IMPORTANT QUESTIONS
MATHEMATICS(X)
OBJECTIVES
Choose the correct answer for each of the following:
1) If {0,1,2,3……} is the set of …… numbers. (Prime,integers,whole,even)
3 -3
2) .a x a = ………. ( 1,3,-3,a )
3) Furth proportion of 3,6,9,is…………. (20,18,24,10)
4) The ordered pair(0,-2) lies in..…quadrant (1,2,3,4)
5) The value of sin 30 is……(2,1/2,-2,3/2)
6) Cot2Θ +1=…. (Cosec2Θ, sec2Θ, sin2Θ, tan2Θ)
7) Origin has coordinates…… ( 0,1) (0,0) (1,1) (1,0)
8) The value of x in the equation 2x/7=4/7 is ……..( 2 , 4 , 7 ,1/2 )
9) If x=1, then(x+1)(x-1)=………(0 ,1 , 2 ,3)
10) The degree of polynomial x2y2+xy+1 is …….4 (b) 3 (c) 2 (d) 1
11) (x2-1)÷(x+1) = x (b) x-1 (c)x+1 (d)1
12) A binomial is an algebraic expression consisting of …. Terms. one (b) two (c) three (d)
four
13) The logarithm of 1 to any base is…… 0 (b) 10 (c) 100 (d) 5
14) If x=2,y=2,then value of x2-xy+y2=….. 12 (b) 10 (c) 8 (d) 6
15) x40.4x2+0.04 =………… (a) (x-2.0)2 (b) (x2-0.2) 2 (c) (x2-0.2) (x-0.2) (d) (x2+2.0)2
16) The HCF of x2-y2 and (x2+y2) is ………… (a) x4-y4 (b) (x2-y2 ) (x2+y2 ) (c) (x2+y2 ) (d) (x2-y2 )
17) If │A│=0,then Matrix A is called……..matrix..Singular ,non-singular (c) zero null
18) Solution set of √ y-2 =-4 is….. 18 (b) ± 4 (c) { } (d) none of these
19) If (x-2)(x+3) =0,then x=…….(-2 ,-3 (b) 2,3 (c) 2,-3 (d) -2,3
20) in a right angled triangle, the side opposite to right angle is called………..diagonal (b) hypotenuse
(c) attitude (d) base
21) X+1=0 is a …………(Quadratic equation (b) non-linear equation (c) linear equation (d) irrational
equation
22) If x+5: x+7 =5:7 then x equals to …. (a)0 (b) 1 (c) -1 (d) 2
23) The mean o 30 observation is 100, their sum is….a) 1500 (b) 3000 (c) 1000 (d) 900
24) tanΘ cotΘ =……..a) 2 (b) 1 (c) sin Θ (d) cosΘ
25) All angles inscribed in a major arc are ….(a) acute (b) obtuse (c) reflex (d) right angle
26) A circle which touches all the three sides of a triangle is called…..
(a) Inscribed circle (b) escribed circle (c) circum center

2. 1) Eliminate ‘t’ with the help of formula ,
2 2 2
2) Find the factors of a (b-c) + b (c-a) +c (a-b)
3) Find a3+b3+c3-3abc, when a+b+c=15 and ab+bc+ca
4) Find the solution set of √ 2x-3 = √ 3x+4
5) Find the solution set of -6+ │5x-3│ = 3
6) Find the solution set of 2x2-7x+6=0 by using quadratic formula.
7) Prove that the sum of the measure of the angles of a triangle is 1800
8) If S= {a ,b,c} ,find P(S).
9) Prove that
10) Solve, if possible, using Cramer rule.
5x-2y =1
2x-y =0
11) Find the value of the following by using logarithm (8.573) (28.74)
12) Find the factors of x3+7x2+14x+8 by means of remainder theorem.
13) For what values of a and b will the expression x4+4x3+ax+b be a perfect square.
14) Simplify:
x x
15) Take two points A & B at a distance 7cm . Draw circles with the radii of 2.8 cm,1.6 cm & centers
at A,B respectively. Draw transverse common tangents to the circle. Measure the line segment
joining the points of contact with each other. Write also the steps of construction.
16) Draw a triangle ABC such that m AB =4.3cm,mAC=5.2cm and mBC=6CM.Draw its circumscribed
circle. Write its steps of construction.
17) Marks obtained in Math’s are given below: Find Median of their marks and mode.
Marks obtained 25-29 30-34 35-39 40-44 45-49
No. of students 9 18 35 17 5
18) Find the solution set of the following equation by graphically. find four ordered pairs for each
equation x+y=4 and 2x -1 =5y
Do practice:
Ex 1.1: Q6, Ex 1.2:Question #14,15,17,,18,19 ,Ex 1.3: Question # 1,2,3,4,5,

3. Ex 1.4: Ex 1.1: Ex 1.1: Ex 1.1: Ex 1.1: