# Class 10 Maths Grand MCQs Tests Reduced Syllabus

We have made FBISE Class 10 Maths Grand MCQs Tests for students. All the MCQs are taken from Past Papers and only reduced syllabus MCQs are selected. Chapterwise MCQs Tests are also available.

## Class 10 Maths Grand MCQs Tests

### Maths 10 Grand MCQ Test 1

7

Class 10 Maths
Past Papers MCQs Grand Test 1

1 / 90

Two linear factors of x²-15x+56=0 are:

2 / 90

The value of x in proportion 4∶x∷5∶15 is:

3 / 90

If A⊆B, then A-B is equal to:

4 / 90

How many tangents can be drawn from a point outside the circle?

5 / 90

The nature of the roots of equation ax² + bx + c = 0, is determined by:

6 / 90

The length of a chord and the radial segment of a circle are congruent, the central angle made by the chord will be:

7 / 90

The range of the relation R={(1,3),(2,2),(3,1),(4,4)} is:

8 / 90

The fourth proportional w of x∶y∷v∶w is:

9 / 90

The value obtained by reciprocating the mean of the reciprocal of x_1,x_2,x_3,…..,x_n observations is called:

10 / 90

The semi circumference and the diameter of a circle both subtend a central angle of:

11 / 90

1/2 cosec45°=

12 / 90

1/2 cosec45° is equal to:

13 / 90

One and only one circle can pass through ______ non collinear points.

14 / 90

The product of cube roots of unity is:

15 / 90

The domain of R={(0,2),(2,3),(3,3),(3,4)} is:

16 / 90

Roots of the equation 4x²-4x+1=0 are:

17 / 90

x⁵/((x²+1)²) is:

18 / 90

A fraction in which the degree of the numerator is less than the degree of denominator is called:

19 / 90

How many common tangents can be drawn for two disjoint circles?

20 / 90

If α,β are the roots of the equation px²+qx+r=0, then sum of the roots 2α and 2β is:

21 / 90

The opposite angles of any quadrilateral inscribed in a circle are:

22 / 90

A deviation is defined as a difference of any value of the variable from a:

23 / 90

The measure of external angle of a regular hexagon is:

24 / 90

In continued proportion a:b∷b:c , “c” is said to be ________ proportional to “a” and “b”.

25 / 90

Partial fraction of (x-2)/((x-1)(x+2)) are of the form:

26 / 90

If α,β are the roots of 3x²+5x-2=0 , then "α+β" is:

27 / 90

Locus of a point in a plane equidistant from a fixed point is called:

28 / 90

Partial fraction of (x+2)/((x+1)(x²+2)) are of the form:

29 / 90

A histogram is a set of adjacent:

30 / 90

secθcotθ=

31 / 90

The portion of a circle between two radii and an arc is called:

32 / 90

The length of the diameter of a circle is how many times the radius of the circle?

33 / 90

If b²-4ac<0, then the roots of the equation ax²+bx+c=0 are:

34 / 90

Partial fraction of (x²+1)/((x+1)(x-1)) are of the form:

35 / 90

Through how many non-collinear points, can a circle pass?

36 / 90

Sum of the deviations of the variable x from its mean is always:

37 / 90

If A⊆B, then A-B is equal to:

38 / 90

Right bisector of the chord of a circle always passes through the ________ of circle.

39 / 90

How many tangents can be drawn from a point outside the circle?

40 / 90

When θ=180° then P(x,y) lies on:

41 / 90

The nature of roots of equation ax²+bx+c=0, is determined by:

42 / 90

A chord passing through the centre of a circle is called:

43 / 90

If A⊆B, then A∩B is equal to:

44 / 90

Sum of the deviation of variable X from its mean is always:

45 / 90

Standard form of quadratic equation is:

46 / 90

Point (-1,4) lies in the quadrant:

47 / 90

Find half the perimeter of a circle whose radius is 20 cm, (π=3.14):

48 / 90

Angle inscribed in a semi-circle is:

49 / 90

1/(1+sinθ)+1/(1-sinθ) is equal to:

50 / 90

If u/v=v/w=k , then:

51 / 90

A complete circle is divided into:

52 / 90

53 / 90

If a/b = c/d then Componendo property is:

54 / 90

The angles with same vertices in a segment of a circle are:

55 / 90

A 4cm long chord subtends a central angle of 60°. The radial segment of this circle is of length:

56 / 90

Locus of a point in a plane equidistant from a fixed point is called:

57 / 90

(x³+1)/((x-1)(x+2)) is:

58 / 90

The solution set of 4x²-16=0 is:

59 / 90

A circle has only one:

60 / 90

A 4cm long chord of a circle subtends a central angle of 60°, the radial segment of this circle is:

61 / 90

If α,β are the roots of 7x²-x+4=0 , then "αβ" is:

62 / 90

The measure of the external angle of regular octagon is:

63 / 90

Line segment joining any point of the circle to the centre is called:

64 / 90

The arcs opposite to incongruent central angles of a circle are always:

65 / 90

A circle has only one:

66 / 90

The fourth proportional w of x∶y∷v∶w is:

67 / 90

The measure which determines the middle most observation in a data set is called:

68 / 90

Point (-2,-3) lies in the quadrant:

69 / 90

The measure of external angle of a regular octagon is:

70 / 90

If α,β are the roots of x²-x-1=0, then product of the roots 2α and 2β is:

71 / 90

If a chord of a circle subtends a central angle of 60°, then the length of the chord and the radial segment are:

72 / 90

An equation of the form 2x⁴-3x³+7x²-3x+2=0 are:

73 / 90

Sum of the cube roots of unity is:

74 / 90

Right bisector of the chord of a circle always passes through the:

75 / 90

In a continued proportion a∶b∷b∶c, ac=b², b is said to be _______ proportional between a and c.

76 / 90

The fourth proportional w of x∶y∷v∶w is:

77 / 90

The observations that divide a data set into four equal parts are called:

78 / 90

The solution set of equation, 4x² - 16 = 0 is:

79 / 90

If A⊆B, then A∪B is equal to:

80 / 90

A tangent line intersects the circle at:

81 / 90

If a circle passes through the vertices of a right angle ∆ABC with m(AC) ̅=3cm and
m(BC) ̅=4cm, m∠C=90° then the radius of the circle is:

82 / 90

Find ‘x' in proportion 4∶x∷5∶15 is:

83 / 90

The most frequent occurring observation in a data set is called:

84 / 90

The circular region bounded by two radii and the corresponding arc is called:

85 / 90

Tangents drawn at the ends of diameter of a circle are _______ to each other:

86 / 90

How many common tangents can be drawn for two touching circles?

87 / 90

88 / 90

A line which has only one point in common with a circle is called:

89 / 90

If number of elements in set A is ‘3’ and in set B is ‘2’, then number of binary relations in A×B is:

90 / 90

Two chords in a circle subtending two congruent central angles are:

0%

### Maths 10 Grand MCQ Test 2

2

Class 10 Maths
Past Papers MCQs Grand Test 2

1 / 90

Angle inscribed in a semi-circle is:

2 / 90

The mean of the squared deviations x_i observations from their arithmetic mean is called:

3 / 90

If A and B are disjoint sets, then A∪B is equal to:

4 / 90

If A⊆B then A-B is equal to:

5 / 90

If the two circles touch externally, then the distance between their centres is equal to:

6 / 90

According to the figure, if m∠3=75° then m∠1 and m∠2 are respectively

7 / 90

If α,β are the roots of x² - 5x + p = 0, then αβ is:

8 / 90

If A⊆B then A∩B is equal to:

9 / 90

The mean proportional of 2 and 128 is:

10 / 90

If u/v=v/w=k then:

11 / 90

The product of complex cube roots of unity is:

12 / 90

A line which has two points in common with a circle is called:

13 / 90

If a∶b=c∶d then a∶ a-b=c∶ c-d is called theorem of:

14 / 90

15 / 90

The circle passing through the vertices of a triangle is known as:

16 / 90

cosec² θ - cot² θ = ?

17 / 90

An arc subtends a central angle of 40° then the corresponding chord will subtend a central angle of:

18 / 90

Locus of a point in a plane equidistant from a fixed point is called:

19 / 90

The domain of R={(0,2),(2,3),(3,3),(3,4)} is:

20 / 90

If α,β are the roots of 4x²+3px+p²=0, then α+β= ?

21 / 90

cosec² θ - cot² θ = ?

22 / 90

A line which has only one point in common with a circle is called:

23 / 90

If u/v=v/w= k, then:

24 / 90

Sum of the deviation of variable X from its mean is always:

25 / 90

The product of cube roots of unity is:

26 / 90

If number of elements in set A is ‘3’ and in set B is ‘2’, then number of binary relations in A×B is:

27 / 90

A function f:A→B is called _______ function if every element of the set B is an image of at least one element of the set A i.e. Range of f=B.

28 / 90

According to the figure, central and inscribed angles subtended on the same arc AB. Then:

29 / 90

If b-4ac<0 , then roots of equation ax²+bx+c=0 are:

30 / 90

The angles subtended by an arc at the circumference of a circle are:

31 / 90

If b²-4ac<0 , then the roots are:

32 / 90

If b-4ac>0 , but not a perfect square then roots of ax²+bx+c=0 are:

33 / 90

If b=0 in a quadratic equation ax²+bx+c=0 then the equation is called:

34 / 90

The arcs opposite to incongruent central angles of a circle are always:

35 / 90

The discriminant of quadratic equation 6x²-8x+3=0 is:

36 / 90

A fraction in which the degree of the numerator is equal to or greater than the degree of denominator is called:

37 / 90

The semi circumference and the diameter of a circle both subtend a central angle of:

38 / 90

If A has 3 elements and B has 2 elements, then number of all binary relations of A×B are:

39 / 90

Two linear factors of x²-15x+56 are:

40 / 90

The semi-circumference and the diameter of a circle both subtend a central angle of:

41 / 90

The measures that are used to determine the degree or extent of variation in a data set are called measures of:

42 / 90

The sum of roots of (a+b) x²-ax+b=0 is:

43 / 90

If two circles of radii 8cm and 4cm touch internally, then distance between their centres is:

44 / 90

If a/b=c/d then Componendo property is:

45 / 90

sin² 3θ/2+cos² 3θ/2=

46 / 90

Point (-1 ,4) lies in the quadrant:

47 / 90

The extent of variation between two extreme observations of a data set is measured by:

48 / 90

The most frequent occurring observation in a data set is called:

49 / 90

Mean is affected by change in:

50 / 90

If an arc of a circle subtends a central angle of 60°, then the corresponding chord of the arc will make the central angle of:

51 / 90

52 / 90

The harmonic mean of data 4, 5 is:

53 / 90

Variance of series 5,5,5,5,5 is:

54 / 90

Tangents drawn at the end points of the diameter of a circle are:

55 / 90

If α,β are the roots of the equation px²+qx+r=0, then sum of roots 2α and 2β is:

56 / 90

The nature of roots of the equation ax²+bx+c=0 is determined by:

57 / 90

58 / 90

The solution set of 5x²=15x is:

59 / 90

Standard form of quadratic equation is:

60 / 90

If A⊆B then A-B is equal to:

61 / 90

The solution set of 4x²-16=0 is:

62 / 90

The product of cube roots of unity is:

63 / 90

The nature of roots of equation ax²+bx+c=0, is determined by:

64 / 90

Two tangents drawn to a circle from a point outside it are of _______ length.

65 / 90

If R={(0,2),(2,3),(3,3),(3,4)} then Domain of R is:

66 / 90

The most frequent occurring observation in a data set is called:

67 / 90

Partial fraction of (x-2)/((x+1)(x²+2)) are of the form:

68 / 90

A line which has two points in common with a circle is called:

69 / 90

If two circles of radii 6cm and 2cm touch externally, then the distance between their centres is equal to:

70 / 90

Tangents drawn at the end points of the diameter of a circle are:

71 / 90

15° is equal to:

72 / 90

A line which is perpendicular to the radial segment of a circle at its outer end is called:

73 / 90

(2x+1)/((x+1)(x-1)) is:

74 / 90

If a∶b=x∶y , then alternando property is:

75 / 90

If A and B are two disjoint sets, then A∪B is equal to:

76 / 90

The simplest form of 450cm, 3m is:

77 / 90

A∩A'=

78 / 90

A circle passes through the vertices of a right angled triangle ABC with mAC=3cm ,mBC=4cm and m∠C=90°. Radius of the circle is:

79 / 90

The length of each side of a regular pentagon is 5cm. Its perimeter is:

80 / 90

In ratio a:b, the b is called ________. (‘b’ is the second term)

81 / 90

X-Y=?

82 / 90

The tangents at the end points of diameter of a circle are:

83 / 90

In a continued proportion a∶b∷b∶c, , ‘c’ is said to be _______ proportional to a and b.

84 / 90

If A=N, B=Z then A∩B=

85 / 90

The third proportional of x² and y² is:

86 / 90

The opposite angles of any quadrilateral inscribed in a circle are:

87 / 90

88 / 90

Each complex cube root of unity is _________ of each other.

89 / 90

Power set of an empty set:

90 / 90

Partial fraction of (x²+1)/((x+1)(x-1)) are of the form: