Friday, 1 March 2019

# 10Th Mathematics Punjab Board of Pakistan MCQs Chapter Wise

Solved Mathematics MCQs of Punjab Board Exams Notes. Solved Mathematics MCQs for the exams preparations of the Punjab Board Exams. All solved notes of the Pakistan Punjab Board Previous years repeated exams objective types MCQs are here. Solved MCQs Math 10th Class

## 10th Class Maths Solved MCQs Punjab Board Chapter 1 Algebraic Expressions

Question 1: Which one is a solution set of |2x| = 6, when x ε R ?
1. { }
2. {7, -7}
3. {-3, 7}
4. {3, -3}
D
Question 2: Which one is a solution set of |x + 2| = 3 ?
1. {1, 5}
2. {-1, -5}
3. {-1, 5}
4. {1, - 5}
D
Question 3: Identify linear equation ?
1. 5 – z > 2z
2. x > 5
3. lx + m = 0
4. X – 5 < 3
C
Question 4: The solution set of 10 – 4x ≥ x + 15 is ?
1. x = 1 and x = -1
2. x ≥ - 1
3. x = 1
4. x ≥ - 1
B
Question 5: Which is an open sentence ?
1. -3 > -8
2. 3y < 7y
3. 3 > 2
4. 2x + 3 = 9
D
Question 6: If x < y < z then ?
1. x < z
2. x > z
3. xz > z
4. x > y
A
Question 7: Solution set of x/2 – 6 = 4 is ?
1. {40}
2. {10}
3. {30}
4. {20}
D
Question 8: Which of the following is an algebraic sentence ?
1. 3 + 4
2. 3a + 8
3. 2 + 4 > 3
4. 7a + 3b
C
Question 9: Which is an in-equation ?
1. x < 4
2. x + 2 = 6
3. 3z + 2/2 = 5
4. 4y – 2 + 6
A
Question 10: What is the meaning of compound sentence x ≥ 5 ?
1. x > 5
2. x = 5 or x > 5
3. x = 5
4. X > 5
B
Question 11: Which one is a solution set of √x – 5 = -3 ?
1. {-3}
2. {9}
3. { }
4. {4}
D
Question 12: Factors of equation: x² - 3x – 10 are ?
1. (x - 2)(x + 5)
2. (x + 2)(x - 5)
3. (x + 2)(x - 5)
4. (x – 2)(x - 5)
C
Question 13: Solution of √t – 10 = 2 is ?
1. {144}
2. {100}
3. {64}
4. {44}
A
Question 14: In which quadrant the point (-1, 3) lies ?
B
Question 15: Which one ordered pair satisfies x – y = 3 ?
1. (2, 1)
2. (3, 0)
3. (1, 2)
4. (0, 3)
B

## 10th Class Maths Solved MCQs Punjab Board Chapter 2 Eliminations

Question 1: Eliminating ‘x’ from x + 1/x = a and x – 1/x = b, we get ?
1. a² = b²
2. a² - b² = 1
3. a² - b² = 4
4. a = b
C
Question 2: Eliminating ‘m’ from m³ = 2x and m² = y/2, we get ?
1. x² = 32³y
2. x³ = 32y²
3. y³ = 32x²
4. y² = 32x³
C
Question 3: Elimination‘t’ form x = √5 t and y = 7√2 t, we get ?
1. 7√2 x = √5 y
2. X = √5 y
3. x/7√2 = y/√5
4. √5 x =7√2 y
A
Question 4: The relation independent of ‘x’ from x = 1/3n and x = 2m is ?
1. 6mn = 1
2. 2m = n
3. m = 3n
4. 2mn = 1
A
Question 5: If at = x and 2at = y then free relation from ’t’ is ?
1. 2x = y
2. x = 2y
3. 2ax = y
4. none of these
A
Question 6: Eliminating ‘x’ from x²+1/x² = m² and x+1/x = n, we get ?
1. m² - n² = 2
2. m² + n² = 2
3. m² + n² = -2
4. m² - n² = -2
D
Question 7: Eliminating ‘t’ from x = t, y = t², we get ?
1. x = y²
2. xy = 1
3. x²y = 1
4. x² = y
D
Question 8: Eliminating x from x – pq = 0, x/I = m, we get ?
1. q/p = m/l
2. pq = m I
3. p²q = m²l
4. p/q = m/I
B
Question 9: The equation y – 5 = 6 is true for y = ?
1. 1
2. -11
3. 11
4. -1
C
Question 10: Eliminating ‘t’ from y = 2t and x = 3t, we get ?
1. 3y = 2x
2. y/3 = x/2
3. 2x = 3y
4. x = y
C
Question 11: Elimination‘t’ from t = 1/4q² and 3p² = 1/t, we get ?
1. 4p²= 3q²
2. 3p² = 4q²
3. 3p²q² = 4
4. 12p²q² = 1
B
Question 12: The relation free from‘t’ for equations x + t = 2a and y – t = 3a is ?
1. x – y = 5a
2. X + y = 5a
3. x + y = a
4. x – y = a
B
Question 13: Eliminating ‘z’ from z² + 1/z² = a² and z- 1/z = b, we get ?
1. a² - b² = -2
2. a² + b² = 2
3. a² + b² = -2
4. a² - b² = 2
A
Question 14: A relation independent of ‘x’ for the equation is : x + l = 6, x + m = 3 is ?
1. l = 3
2. l - m = 3
3. l² - m² = 9
4. l + m = 3
B
Question 15: Eliminating ‘z’ from m – z = 2 and n + z = 4, we get ?
1. m – n = 6
2. m + n = 2
3. m + n = 6
4. m – n = 2
C

## 10th Class Maths Solved MCQs Punjab Board Chapter 3 Variance

Question 1: If s ∝ t, then ?
1. st =1
2. s = kt
3. s = 1
4. st = kt
B
Question 2: If a/b = b/a = k, then ?
1. a = b²k
2. a = bk²
3. A = ck²
4. a =c²k
A
Question 3: In the proportional property is ?
1. ±√ac
2. ± √ab
3. ±√b
4. ±√c
A
Question 4: Mean proportional of 16, 9 is ?
1. ±12
2. 25
3. ±13
4. ± 16
A
Question 5: Given that y ∝ 1/x² and y = 9 for x = 2, then value of k is ?
1. 36
2. -36
3. -18
4. 18
A
Question 6: The third proportional of a² and b is ?
1. a² b²
2. a/b
3. b²/a²
4. ab
C
Question 7: If 2x : 4 – x : : 2 : 3, then x ?
1. 3
2. 1
3. 2
4. 4
B
Question 8: If a/b = c/d, then invertendo property is ?
1. a/a + b = c/c + d
2. a – b/b = c – d/d
3. a/c = b/d
4. b/a = d/c
D
Question 9: If x and y very inversely and y = 12 for x = 5, then value of k is ?
1. 15
2. 12
3. 60
4. 18
C
Question 10: If a : b = c : d, then alternendo property is ?
1. a/b = c/d
2. a/c = b/d
3. a + b/b = c + d/d
4. a – b/d = c – d/d
A
Question 11: If 9 : 8 = 9 : x, then x is ?
1. 10
2. 14
3. 16
4. 8
D
Question 12: If a/b = b/c , then ?
1. a² = bc
2. B = ac
3. b² = ac
4. c² = ab
C
Question 13: The fourth proportional in 7, 21, 3 is ?
1. 3
2. 9
3. -9
4. - 1
B
Question 14: Give that v ∝ t and v = 45 for k = 15 then value of t is ?
1. 5
2. 3
3. 1
4. 4
B
Question 15: The third proportional in 3, 12 is ?
1. 48
2. -48
3. 32
4. 16
A

## 10th Class Maths Solved MCQs Punjab Board Chapter 4 Information Handling

Question 1: Arithmetic mean of 64, 75, 81, 87, 90 is ?
1. 78.40
2. 79.40
3. 77.40
4. 79
B
Question 2: If the largest observation is 126 and the smallest observation is 20 and if we have to make 10 groups then size of each class interval will be ?
1. 9
2. 11
3. 12
4. 10
B
Question 3: The value which divides the data into two parts is called ?
1. Mode
2. mean
3. range
4. median
D
Question 4: If standard deviation of a series is 6, then its variance is ?
1. 20
2. 36
3. 2
4. 15
B
Question 5: The sum of 5 observations is 125, its mean will be ?
1. 75
2. 25
3. -15
4. 50
B
Question 6: If y ∝ 1/p³, then k = ?
1. 1/yp
2. 1/yp³
3. 1/p³
4. yp³
D
Question 7: Formula to find median for grouped data is ?
1. l + h/f (n/2 - c)
2. l + f/h (n/2 - c)
3. l + h/f (n/2 - c²)
4. l + h/f (c – n/2)
A
Question 8: If U = x – 15/3, ∑U = 25, and n = 5, then the arithmetic mean will be ?
1. 20
2. 10
3. 30
4. 40
C
Question 9: Range of 70, 100, 150, 130, 140, 150, 90, 60, 110, 600 is ?
1. 550
2. 454
3. 535
4. 540
D
Question 10: Median of 23, 15, 35, 48, 41, 5, 8, 19, 11, 51 is ?
1. 19
2. 21
3. 22
4. 20
B
Question 11: Mode of the data 75, 76, 80, 80, 82, 82, 82, 85 is ?
1. 83
2. 84
3. 81
4. 82
D
Question 12: If A = 52, ∑D = 8 and n = 8, then –x = ?
1. 56
2. 53
3. 54
4. 55
B
Question 13: The mean of 20 observations is 100, its sum will be ?
1. 500
2. 1000
3. 2000
4. 900
C
Question 14: In an equilateral triangle, the measure of one side is 12cm, measure of its altitude is ?
1. 2√3
2. 3√3
3. 6√3
4. 5√3
C
Question 15: By direct formula, variance is given by ?
1. S² = ∑x² /n - (∑x/n)²
2. S² = (∑x² /n) (∑x/n)²
3. S² = ∑x² /√n - (∑x/√n)²
4. S = ∑x² /n - (∑x/n)²
A

## 10th Class Maths Solved MCQs Punjab Board Chapter 5 Fundamental Concepts of Geometry

Question 1: The measure of sides of a triangle are 3cm, 4cm and 5cm. These are the sides of ?
1. equilateral triangle
2. Acute angled triangle
3. obtuse angled triangle
4. right angled triangle
D
Question 2: In the figure, P is any point lying away form the line AB. Then mPL will be the shortest distance if ?
1. M< PLA = 80 ̊
2. m<="" 90="" =="">
3. m<="" 100="" =="">
4. m<="" 70="" =="">
B
Question 3: Three points determine a ?
1. triangle
2. line
3. square
4. plane
D
Question 4: In a triangle if the sum of the squares of the measures of two sides of is equal to the square of the measure of the third side, the triangle is ?
1. an equilateral triangle
2. an obtuse angled triangle
3. a right angled triangle
4. an acute angled triangle
C
Question 6: Area of a triangle = ?
1. ½ perpendicular x hypotenuse
2. ½ base x height
3. ½ base x hypotenuse
4. ½ base x perpendicular
B
Question 7: Two sides of a triangle are of measure 10cm and 15cm. which of the following measure is possible for the third side ?
1. 25 cm
2. 5 cm
3. 20 cm
4. 30 cm
D
Question 8: The three sides of a ΔABC are of measure 5, x and 13. For what value of x it will become base of a right angled triangle ?
1. 11
2. 13
3. 10
4. 12
D
Question 9: If two angles of a triangle are unequal in measure, the side opposite to the greater angle is longer than the side opposite to the ?
1. equal angle
2. smaller angle
3. none of these
4. greater angle
B
Question 10: In a right angled triangle the square of length of hypotenuse is equal to the sum of squares of lengths of ?
1. perpendiculars
2. medians
3. other two sides
4. altitudes
C
Question 11: In an equilateral triangle, the measure of one side is 12cm, measure of its altitude is ?
1. 3√3
2. 2√3
3. 6√3
4. 5√3
C
Question 12: If m
1. m BA
2. m BC
3. m AB
4. m AC

D
Question 13: Two points determine a ?
1. line-segment
2. mid point
3. plane
4. line
A
Question 14: If two triangles are similar, then the measures of their corresponding sides are ?
1. congruent
2. similar
3. different
4. proportional
D
Question 15: Form a point, outside a line the -------- is the shortest distance from the point to the line ?
1. bisector
2. perpendicular
3. parallel
4. median
B

## 10th Class Maths Solved MCQs Punjab Board Chapter 6 Circle

Question 1: The central angle of a minor are of a circle is 40 ̊, the angle subtended by the corresponding major are measures ?
1. 120 ̊
2. 69 ̊
3. 80 ̊
4. 20 ̊
D
Question 2: The point of intersection of the right bisectors of the sides of the circum-center of the triangle is called ?
3. diameter
4. circum center
C
Question 3: A line segment whose end points are any two points of a circle is called ?
1. chord of the circle
3. diameter of the circle
4. segment of the circle
A
Question 4: How many circle or circles can pass through three non-collinear points ?
1. Two
2. none
3. infinite
4. One
D
Question 5: The segment joining center to any point on the circle is called ?
2. circumference
3. center
A
Question 6: If a diameter of a circle bisects a chord it will be ------------ to the chord ?
1. perpendicular
2. bisector
3. congruent
4. parallel
A
Question 7: A line which has two distinct points in common with a circle is called ?
1. common tangent
2. length of tangent
3. tangent line
4. secant line
D
Question 8: A line which intersects a circle at one point only and none of its points lie in the interior of the circle is called ?
1. secant of a circle
2. sector of a circle
3. are of a circle
4. tangent to a circle
D
Question 9: If two congruent circles touch externally, the distance between their centers is equal to their ?
1. transverse tangents
2. common tangents
3. diameter
C
Question 10: The length of the line joining all points on the circle equidistant from the center of the circle of the circle is called ?
1. diameter of the circle
2. area of the circle
3. circumference of the circle
C
Question 11: The circle which passes through the three vertices of a triangle is called the ?
1. tangent circle
2. circum-circle of a triangle
3. inscribed circle of a triangle
4. escribed circle of a triangle
B
Question 12: The perpendicular bisector of a chord of a circle passes through the ?
1. center of the circle
2. tangent of the circle
4. diameter of the circle
A
Question 13: Center of two tangent circles and their common point always lie on the same ?
1. secant line
3. straight line
4. diameter
C
Question 14: A chord passing through the center of the circle is called ?
1. circumference of the circle
2. diameter of the circle
4. center of the circle
B
Question 15: From a point at a distance of 5 cm from the center of a circle of radius 3 cm, tangents are drawn to the circle. The length of each tangent will be ?
1. 4 cm
2. 5 cm
3. 3 cm
4. 6 cm
A

## 10th Class Maths Solved MCQs Punjab Board Chapter 7 Practical Geometry

Question 1: Two circles of different radii are ?
1. congruent
2. equal
3. similar
4. equal in area
C
Question 2: If two circles touch internally, the distance between their centres is equal to ?
1. The sum of their radii
2. The difference of the their radii
B
Question 3: If two congruent circles touch each other externally, the distance between their center is ?
1. Is greater than their diameter
2. Is equal to their diameter
4. Is less than their diameter
D
Question 4: At how many points a tangent touches the circle ?
1. at three points
2. at two points
3. at infinite no. of points
4. At one point
D
Question 5: Two circles are congruent if their radii are ?
1. equal
2. different
3. parallel
4. congruent
A
Question 6: Half of the length of diameter of the circle is called its ?
1. diameter
3. centre
4. midpoint
B
Question 7: A circle touching the three sides of a triangle is called ?
1. concentric circle
2. Circumcircle
3. inscribed circle
4. tangent circle
C
Question 8: A line bisecting an angle is called ?
1. side bisector
2. Angle bisector
3. point bisector
4. line bisector
B
Question 9: A tangent to the circle is always ?
1. congruent to the radius of the circle
2. Perpendicular to the radius of the circle
3. collinear to the radius of the circle
4. Parallel to the radius of the circle
A
Question 10: How many number of tangents that can be drawn from a point outside a circle ?
1. Three
2. many
3. Two
4. one
C
Question 11: All the three angle bisectors of a triangle of an inscribed circle bisect at ?
1. Incentre
2. circumcentre
3. base of the triangle
4. hypotenuse of the triangle
A
Question 12: A line from one vertex perpendicular to the opposite side of a triangle is called ?
1. altitude
2. hypotenuse
3. angle bisector
4. base
A
Question 13: A circle passing through the three vertices of a triangle is called ?
1. Circumcircle
2. Inscribed circle
3. concentric circle
4. tangent circle
A
Question 14: A circle touching one side externally and the other two produced sides of a triangle internally is called ?
1. e-circle
2. Circumcircle
3. in-circle
4. tangent circle
A
Question 15: The tangents at the end points of the diameter of a circle are ?
1. Collinear
2. parallel
3. non parallel
4. perpendicular
B

## 10th Class Maths Solved MCQs Punjab Board Chapter 8 Trigonometry

Question 1: Sin θ . cosec θ = ?
1. 1
2. tan θ
3. Cot θ
4. sec θ
A
Question 2: Sin90 ̊ . cos45 ̊ = ?
1. 1/2
2. 1
3. 1/√2
4. 0
C
Question 3: sec θ = ?
1. √tan² θ
2. √1 + tan² θ
3. √1 - tan² θ
4. √1 + tan θ
B
Question 4: tan² θ + 1 = ?
1. sec² θ
2. cosec² θ
3. cos² θ
4. sec θ
A
Question 5: 1 - sin² θ = ?
1. cos² θ
2. sec² θ
3. tan² θ
4. sec² θ
A
Question 6: Cos 60 ̊ = cos (90 ̊ - 30 ̊) = ?
1. sin 30 ̊
2. sin 90 ̊
3. sin 45 ̊
4. Sin 60 ̊
B
Question 7: cotθ . sinθ = ?
1. cosec θ
2. sec θ
3. 1/ secθ
4. tan θ
C
Question 8: Sin 45 ̊ = ?
1. 1/2
2. 1/√2
3. 2
4. √2
B
Question 9: In a right angled triangle, sin θ is the ratio of ?
1. perpendicular to hypotenuse
2. hypotenuse to base
3. base to perpendicular
4. hypotenuse to perpendicular
A
Question 10: If tan θ = ¾ and θ lies in 1st quadrant, then the value of sin θ will be ?
1. 3/5
2. 4/5
3. 5/4
4. 4/3
A
Question 11: Tan (90 ̊ - θ) = ?
1. tan 90 ̊
2. Tan θ
3. Cot θ
4. Cot 90 ̊
C
Question 12: A right angled triangle has one angle of ?
1. 90 ̊
2. 30 ̊
3. 60 ̊
4. 45 ̊
A
Question 13: 4sin45 ̊ - 3cos45 ̊ = ?
1. √3/2
2. √3
3. 1/√2
4. 1
C
Question 14: Sin² θ + cos² θ = ?
1. 1
2. tan² θ
3. cot² θ
4. 0
A
Question 15: cos θ/ sin θ = ?
1. 1/cot θ
2. 1
3. 1/tan θ
4. cos θ
C

## 10th Class Punjab Board

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