Best Karachi Sindh G10 Mathematics Solved Past Paper

Board of Secondary Education, Karachi, and Sindh all board Grade 10, Class 10th Mathematics Solved Past Papers read and pdf Download.

Mathematics Solved Past Paper

i) The median of 2,8,6,10,4,12 is:

A. 6
B. 7
C. 8
D. 9
Answer:
C. 8

ii) Sin30^o=

A. √3/2
B. 1/√2
C. 1/√3
D. 1/2
Answer:
D. 1/2

iii) The multiplicative inverse of a-b is:

A. -a+b
B. a+b
C. 1/a-b
D. 1/a+b
Answer:
C. 1/a-b

iv) In 35,30,10,48,100,90 the range (R) is:

A. 10
B. 90
C. 100
D. 35
Answer:
B. 90

v) If (x³+4x²-7x+3)÷(x-1) then the remainder is: 

A. 0
B. 1
C. 2
D. -1
Answer:
B. 1

vi) If x=2+√5, then x² is: 

A. 2√5
B. 9+4√5
C. 9
D. None of these
Answer:
B. 9+4√5

Read more: Class 10 Physics Solved Past Papers

vii) The characteristics of log 226.7 is:

     _
A. 2
    _
B. 3
C. 2
D. 3
Answer:
C. 2

viii) The point of concurrency of the medians of a triangle is called:

A. Centroid
B. Circum-centre
C. in-centre
D. None of these
Answer:
A. Centroid

ix) 8^1/3 × 36 ^1/2 = 

A. 8
B. 36
C. 12
D. 24
Answer:
C. 12

x) The mean proportion of 14 and 56 is: 

A. 14
B. 56
C. 28
D. 70
Answer:
C. 28

xi) (-5,-3) is in quadrant: 

A. 1^st
B. 2^nd
C. 3^rd
D. 4^th
Answer:
C. 3^rd

xii) The solution set of 3x²-10x=0 

A. {10}
B. {10/3}
C. {0}
D. {0,10/3]
Answer:
D. {0,10/3]

xiii) If log₇x=2 then x= 

A. 14
B. 128
C. 49
D. 64
Answer:
C. 49

xiv) If x+y=5 and x-y=5 then 4xy=:

A. 10
B. 25
C. 0
D. 5
Answer:
C. 0

xv) H.C.F of a³+b³ and a²-ab+b² is: 

A. a²-ab+b²
B. a+b
C. a-b
D. a²+b²
Answer:
A. a²-ab+b²

xvi) The cartesian product of sets A and B is written as:

A. A.B
B. A×B
C. AΔB
D. B×A
Answer:
B. A×B

xvii) If a:b=c:d the a:c=b:d this property of proportion is called:

A. Invertendo
B. Dividendo
C. Alternando
D. Componendo
Answer:
C. Alternando

xviii) The angle inscribed in a major arc is a/an: 

A. Right angle
B. Obtuse angle
C. Acute angle
D. None of these
Answer:
C. Acute angle

xix) The sum of complementary angles is:

A. 180^o
B. 45^o
C. 90^o
D. 360^o
Answer:
C. 90^o

xx) If |A|=0 then matrix A is called: 

A. Singular matrix
B. Non-singular matrix
C. Square matrix
D. None of these
Answer:
A. Singular matrix

Q.2 i) If A = {1,2,3,4,5,6,7,8} and B = {2,4,6,8,10} then prove that:  AΔB=(A∪B)-(A∩B) 

Q.3 i) Find the value of x³+y³ when x+y=-5 and xy=8.

Q.3 ii) Find the solution set of the following equation and also verify the answer:√25y-6=4√y+3

Q.3 iii) For what value of a and b, x⁴+4x³+10x²+ax+b will be a perfect square?

Q.3 iii) For what value of a and b, x⁴+4x³+10x²+ax+b will be a perfect square?

Solutions

Q.4 i) Solve triangle ACB when m∠C=90^o, c= 8cm, b = 4√3 cm

Q.4 ii) Eliminate ‘x’ from the following equations: x+1/x=2p, x-1/x=2q+1

Q.5 i) If a transversal intersects two coplaner lines such that the pair of alternate angles are congruent, then the lines are parallel. Prove it.

Q.5 iii) Find the factors with help of Remainder Theorem : x³ – 4x² + 5x – 2.

Q.6 i) Find the variance of the following sets observations : X = 11,13, 25,15,12,18,17, 23, 20,16 

Q.6 iii) The measure of a central of a minor arc of a circle is double that of the inscribed angle of the corresponding major arc. Prove it.

Q.9 b) One and only one circle can pass through three non-collinear points.

Q.11) The distance between two points P and Q is 7.5cm. with the centre, P draw a circle of radius 4.5cm. From the point Q, draw a tangent to the circle. Measure the segment of the tangent. Also, write the steps of construction.