Free Printable 10th Formula Twist

1.

Sin $\theta$ = ?

a)

p/b

b)

b/p

c)

p/h

d)

b/h

2.

The coordinates of the point P which divides the line segment joining the points A (x 1, y 1) and B (x 2, y2) internally in the ratio m1 : m2 are

a)

$\left(\frac{m_1x_2+m_2x_1}{m_1-m_2},\frac{m_1y_2+m_2y_1}{m_1-m_2}\right)$

b)

$\left(\frac{m_2x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}\right)$

c)

$\left(\frac{m_1x_2-m_2x_1}{m_1+m_2},\frac{m_1y_2-m_2y_1}{m_1+m_2}\right)$

d)

$\left(\frac{m_1x_2+m_2x_1}{m_1+m_2},\frac{m_1y_2+m_2y_1}{m_1+m_2}\right)$

3.

There are 4 methods to solve pair of linear equations .

a)

True

b)

False

4.

Usually $a_1$ and $a$ are the same in an A.P

a)

True

b)

False

5.

nth term of an Arithmetic Progression or $a_n$ =

a)

$a-\left(n+1\right)d$

b)

$a+\left(n+1\right)d$

c)

$a+\left(n-1\right)d$

d)

$a-\left(n-1\right)d$

6.

Common difference of an A.P is denoted by variable

a)

d

b)

a

c)

n

d)

p

7.

Sum of nth terms of an A.P or $S_n$ =

a)

$\frac{n}{2}\left\{2a-\left(n-1\right)d\right\}$

b)

$\frac{n}{2}\left\{2a-\left(n+1\right)d\right\}$

c)

$\frac{n}{2}\left\{2a+\left(n+1\right)d\right\}$

d)

$\frac{n}{2}\left\{2a+\left(n-1\right)d\right\}$

8.

Sum of nth terms of an A.P or $S_n$ =

a)

$\frac{n}{2}\left(a+l\right)$

b)

$\frac{n}{2}\left(a-l\right)$

c)

$\frac{n}{4}\left(a+l\right)$

d)

$\frac{n}{2}\left(l-a\right)$

9.

$a_n$ is also denoted by l

a)

True

b)

False

10.

$a_{n\ }=\ S_n-S_{\left(n-1\right)}$

a)

True

b)

False

11.

If any two angles of one triangle will be equal to any two angles of another triangle , then those triangles are said to be ..........................

a)

Congruent

b)

Similar

c)

Equal

d)

None of these

12.

If any two angles of one triangle will be equal to any two angles of another triangle and one length of one side of 1st triangle is equal to that of another , then those triangles are said to be ..........................

a)

Congruent

b)

Similar

c)

Equal

d)

None of these

13.

Ratio of the areas of two ________ triangles is equal to the _______ of the squares of their corresponding sides.

a)

Congruent, product

b)

Congruent, product

c)

Similar, ratio

d)

Similar, product

14.

Which of the below mentioned statement is True with reference to the Figure.

a)

$h^2=x.y$

b)

$h^2=x+y$

c)

$h^2=\frac{x}{y}$

d)

$h^2\ne x.y$

15.

Which of the below mentioned statement is true with reference to the Figure.

a)

$a^2+b^2=c^2$

b)

$a^2-b^2=c^2$

c)

$a^2=b^2+c^2$

d)

$a^2=b^2-c^2$

16.

HCF (a, b) × LCM (a, b) =

a)

(a x b)

b)

(a + b)

c)

(a - b)

d)

(a / b)

17.

zeroes of a polynomial of variable x means

a)

The exact value of variable which can make the value of polynomial equal to other than ZERO

b)

The exact value of variable which can make the value of polynomial equal to ZERO

c)

The exact value of variable which can make the value of polynomial equal to any negative integer

d)

The exact value of variable which can make the value of polynomial equal to any positive integer

18.

Geometrical meaning of zeroes of a polynomial of the variable x

a)

The x coordinates of the point where the graph of the polynomial intersects x-Axis

b)

The y coordinates of the point where the graph of the polynomial intersects y-Axis

c)

The x coordinates of the point where the graph of the polynomial intersects y-Axis

d)

The y coordinates of the point where the graph of the polynomial intersects x-Axis

19.

$\sqrt[]{3}$ /2 is the value of which of the trigonometric ratios.

a)

Sin $30^o$

b)

Sin $60^o$

c)

Sin $60^{o\ ^{ }}$ and Cos $30^o$

d)

None of these

20.

If α and β are the zeroes of a quadratic polynomial ax2 + bx + c, then α + β is equal to .............

a)

b/a

b)

c/a

c)

a/c

d)

-b/a

21.

If α and β are the zeroes of a quadratic polynomial ax2 + bx + c, then α x β is equal to .............

a)

b/a

b)

c/a

c)

a/c

d)

a/b

22.

a statement that the values of two mathematical expressions are equal (indicated by the sign =)

a)

Equation

b)

Expression

c)

Polynomial

d)

Identity

23.

A pair of linear equations is consistent if ___________________

a)

it has only one solution

b)

it has no solution

c)

it has a solution – either a unique or infinitely many

d)

it has only infinitely many solutions

24.

A pair of linear equations is inconsistent if

a)

it has no solution

b)

it has only one solution

c)

it has many solutioins

d)

None of these

25.

The pair of linear equations is also said to be dependent

a)

When lines of these equations are coincident

b)

When lines of these equations are parallel

c)

When lines of these equations are intersecting

d)

None of these

26.

A pair of linear equations is inconsistent , if the lines of these will be ______________

a)

Parallel

b)

Intersecting

c)

Coincident

d)

Curve

27.

Before trying to solve any pair of linear equations , what should we do first

a)

Test it to know whether these are consistent

b)

Test it to know whether these are dependent

c)

Test it to know whether these are having unique solution

d)

None of these

28.

Let a pair of linear equations in two variables be $a_1x+b_1y+c_1=0$ and $a_2x+b_2y+c_2=0$ . We can only proceed to solve , if _____________

a)

$\frac{a_1}{a_2}\ne\frac{c_1}{c_2}$

b)

$\frac{a_1}{a_2}\ne\frac{b_1}{b_2}$

c)

$\frac{a_1}{a_2}=\frac{c_1}{c_2}$

d)

$\frac{a_1}{a_2}=\frac{b_1}{b_2}$

29.

Is it sufficient to have a consistent pair of linear equations for the purpose of finding an exact solution out of it ?

a)

Yes

b)

No

30.

How would you infer by satisfying the condition in case of pair of linear equations: $\frac{a_1}{a_2}=\frac{b_1}{b_2}=\frac{c_1}{c_2}$

a)

There is a unique solution

b)

Equations are dependent but have unique solution

c)

Equations are only dependent

d)

None of these

31.

1/2 is the value of which of the trigonometric ratios.

a)

Sin $30^o$

b)

Cos $60^o$

c)

Cos $60^{o\ ^{ }}$ and Sin $30^o$

d)

None of these

32.

Discriminant is denoted by

a)

D

b)

d

c)

C

d)

c

33.

Which one of these is the symbol "Delta" and is used to represent the Discriminant of a quadratic equation.

a)

$\Delta$

b)

$\nabla$

c)

d

d)

Del

34.

Roots of a Quadratic Equation will be Equal if ............................

a)

$b^2-4ac\ >0$

b)

$b^2-4ac\ =0$

c)

$b^2-4ac\ <\ 0$

d)

$b^2\ge4ac$

35.

Roots of a Quadratic Equation will be real if ............................

a)

$None\ of\ these$

b)

$b^2<4ac\$

c)

$b^2-4ac\ <\ 0$

d)

$b^2\ge4ac$

36.

Value of Roots of a quadratic equation is

a)

$\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

b)

$\frac{-b\pm\sqrt[]{b^2+4ac}}{2a}$

c)

$\frac{b\pm\sqrt[]{b^2-4ac}}{2a}$

d)

$\frac{b\pm\sqrt[]{b^2-4ac}}{2b}$

37.

Discriminant is equal to ....................................

a)

$b^2\pm4ac$

b)

$b^2-4ac$

c)

$b^2+4ac$

d)

$b^2-4ad$

38.

$\frac{a_1}{a_2}=\frac{b_1}{b_2}\ne\frac{c_1}{c_2}$ , This this condition is found to be correct. It means

a)

The pair of linear equations has no solution

b)

The pair of linear equations has infinitely many solutions

c)

The pair of linear equations has unique solution

d)

The pair of linear equations consistent

39.

The pair of linear equations has no solution , What does it mean geometrically ?

a)

Corresponding lines are parallel

b)

Corresponding lines are intersecting

c)

Corresponding lines are coincident

d)

None of these

40.

Solution of a pair of linear equations means geometrically it is ....

a)

The coordinates of point of intersection of corresponding lines

b)

The coordinates of joint of intersection of corresponding lines

c)

Both

d)

None of these

41.

Distance Formula in Coordinate Geometry is

a)

$\sqrt[]{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2}$

b)

$\sqrt[]{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2}$

c)

$\sqrt[]{\left(x_2-x_1\right)^2-\left(y_2-y_1\right)^2}$

d)

$\sqrt[]{\left(x_2-y_1\right)^2+\left(x_2-y_1\right)^2}$

42.

The distance of a point P (x,y) from the origin is

a)

$\sqrt[]{x^2+y^2}$

b)

$\sqrt[]{x^3+y^3}$

c)

$\sqrt[]{x^2-y^2}$

d)

$\sqrt[]{x^4+y^4}$

43.

Abscissa means

a)

X - Axis

b)

Y - Axis

c)

X Coordinate of a point

d)

Y Coordinate of a point

44.

Ordinate means

a)

X - Axis

b)

Y - Axis

c)

X Coordinate of a point

d)

Y Coordinate of a point

45.

Ordinate means

a)

X - Axis

b)

Y - Axis

c)

distance of point from Y-Axis

d)

distance of point from X-Axis

46.

Abscissa means

a)

X - Axis

b)

Y - Axis

c)

distance of point from Y-Axis

d)

distance of point from X-Axis

47.

The coordinates of the mid-point of the line segment joining the points P (x1 , y1 ) and Q (x2 , y2 ) are

a)

$\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{3}\right)$

b)

$\left(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2}\right)$

c)

$\left(\frac{x_1+y_1}{2},\frac{x_2+y_2}{2}\right)$

d)

$\left(\frac{x_1+x_2}{3},\frac{y_1+y_2}{2}\right)$

48.

The area of a triangle with vertices A (x1 , y1 ), B (x2 , y2 ) and C (x3 , y3 ) is

a)

$\frac{1}{2}\left\{x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\right\}$

b)

$\frac{1}{2}\left\{x_1\left(y_2-y_3\right)+x_2\left(y_3-y_2\right)+x_3\left(y_1-y_2\right)\right\}$

c)

$\frac{1}{2}\left\{x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_2-y_1\right)\right\}$

d)

$\frac{1}{2}\left\{x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_3-y_2\right)\right\}$

49.

A, B and C are collinear. if

a)

$x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)=0$

b)

$x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)\ne0$

c)

$x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)>0$

d)

$x_1\left(y_2-y_3\right)+x_2\left(y_3-y_1\right)+x_3\left(y_1-y_2\right)<0$

50.

Sin $0^o$

a)

1

b)

0

c)

undefined

d)

None of these

51.

Sin $90^o$

a)

1

b)

0

c)

undefined

d)

None of these

52.

Sin $45^o$

a)

1

b)

$\frac{1}{\sqrt[]{2}}$

c)

undefined

d)

None of these

53.

Sin $30^o$

a)

$\frac{1}{2}$

b)

$\frac{1}{\sqrt[]{2}}$

c)

$\frac{\sqrt[]{3}}{2}$

d)

None of these

54.

Sin $60^o$

a)

$\frac{1}{2}$

b)

$\frac{1}{\sqrt[]{2}}$

c)

$\frac{\sqrt[]{3}}{2}$

d)

None of these

55.

Which of these identities is true ?

a)

$Sin^2\theta+Cos^2\theta\ne1$

b)

$Sin^2\theta+Cos^2\theta=1$

c)

$Sin^2\theta+Cos^2\theta=0$

d)

$Sin^2\theta+Cos^2\theta=2$

56.

$1+\tan^2\theta\ =$

a)

$Sin\theta$

b)

$\sqrt[]{Sec^4\theta}$

c)

$Cos\theta$

d)

0

57.

$Co\sec^2\theta-1=$

a)

$Cos^2\theta$

b)

$Sec^2\theta$

c)

$Cot^2\theta$

d)

$Sin^2\theta$

58.

Lengths of tangents from an external point to a circle are equal

a)

True

b)

False

59.

Tangent is perpendicular to the radius through the point of contact.

a)

True

b)

False

60.

Infinite number of tangents can be drawn to a circle from an external point.

a)

True

b)

False

61.

Area of Circle =

a)

$\pi r^2$

b)

$2\pi r$

c)

$\pi d$

d)

$4\pi r^2$

62.

Area of a minor Sector of a circle =

a)

$\frac{\theta}{360^o}\left(\pi r^2\right)$

b)

$\frac{\theta}{180^o}\left(\pi r^2\right)$

c)

$\frac{\theta}{90^o}\left(\pi r^2\right)$

d)

$\frac{2\theta}{360^o}\left(\pi r^2\right)$

63.

What can the roots to a quadratic equation be called?

a)

zeros

b)

solutions

c)

x-intercepts

d)

none of the choices

64.

What is the quadratic formula?

a)

b)

c)

d)

65.

What is the equation for standard form?

a)

y = x²+ bx + c

b)

y = ax²+ bx + c

c)

y = mx + b

d)

Ax + By = C

66.

The quadratic equation has degree

a)

0

b)

1

c)

2

d)

3

67.

The graph of a quadratic function is called

a)

a line

b)

a hyperbola

c)

a parabola

d)

a cubic

68.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

69.

The formula
b² - 4ac
is called the

a)

quadratic formula

b)

factored form

c)

vertex formula

d)

the discriminant

70.

The discriminant finds the

a)

number of solutions

b)

x-intercepts

c)

y-value of vertex

d)

y-intercept

71.

If the discriminant is greater than zero, the equation has

a)

1 solution

b)

2 solutions

c)

no solutions

72.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

a)

Intersecting lines

b)

Same line

c)

Parallel lines

73.

WHAT IS THE PROBABILITY OF IMPOSSIBLE EVENT?

a)

1

b)

1/2

c)

0

d)

NONE

74.

WHAT IS PROBABILITY OF SURE EVENT?

a)

1

b)

0

c)

1/2

d)

NONE

75.

Say 'TRUE' or 'FALSE'
In any situation that has only two outcomes, each outcome will be probability ½

a)

TRUE

b)

FALSE

76.

If an event cannot occur, then its probability is

a)

1

b)

½

c)

¼

d)

0

77.

If E be an event such that P(E) = 3⁄7, then P(not E) is _______

a)

4⁄7

b)

6⁄7

c)

5⁄7

d)

None of these

78.

Which of the following cannot be the probability of an event?

a)

17⁄16

b)

0.1

c)

3%

d)

⅓

79.

Which of the following can be the probability of an event?

a)

-0.04

b)

1.0004

c)

18⁄23

d)

8⁄7

80.

A card is selected at random from a deck of 52 cards. The probability of its being black face card is _____

a)

3⁄26

b)

3⁄13

c)

1⁄2

d)

2⁄13

81.

Say 'TRUE' or 'FALSE'
In any situation that has only two outcomes, each outcome will be probability ½

a)

TRUE

b)

FALSE

82.

What is the probability of getting an odd number?

a)

1/6

b)

1/2

c)

1/3

d)

1/4

83.

If you flip a coin two times, is it independent or dependent probability?

a)

Independent

b)

Dependent

84.

What is a measure of center? (Select ALL that apply.)

a)

Mean

b)

Median

c)

Mode

d)

Outlier

e)

Range

85.

Which measure of center represents the data that occurs the most?

a)

Mode

b)

Median

c)

Mean

d)

Outlier

86.

Which measure of center represents the value in the middle of the data set?

a)

Mode

b)

Median

c)

Mean

d)

IQR

87.

The mean is represented by:

a)

X_i

b)

f_i

c)

$\sum_x^y$ fixi

d)

$\overline{x}$

88.

the formula for mean is:

a)

b)

c)

d)

89.

A class with the maximum frequency is called:

a)

Median Class

b)

Modal Class

c)

Class Mark

d)

Class Size

90.

Cumulative frequency is related to:

a)

Assumed mean method

b)

Median

c)

Mode

d)

Step-Deviation method

91.

In the formula for calculating median, the cf represents:

a)

Frequency of median class

b)

Cumulative frequency of median class

c)

Cumulative frequency of class preceding the median class

d)

Cumulative frequency of the class succeeding the median class

92.

The empirical relationship between the three measures of central tendency is:

a)

2 Median = 3 Mode+Mean

b)

1 Mean = 2 Mode+3 Median

c)

2 Mean+1 Mode = 3 Median

d)

Median = 2 Mean+3 Mode

93.

One of the methods of determining Mode is

a)

Mode= 2 Median - 3 Mean

b)

Mode= 2 Median + 3 Mean

c)

Mode = 3 Median -2 Mean

d)

Mode= 3 Median + 2 Mean

94.

What does "mode" mean?

a)

average

b)

middle

c)

repeats the most

d)

variation

95.

What does "mean" mean?

a)

average

b)

middle

c)

repeats the most

d)

variation

96.

What is a the meaning for "median"?

a)

fair share

b)

middle

c)

repeats the most

d)

variation

97.

The sum of all the values in a data set divided by the number of data values. Also called the average.

a)

mean

b)

median

c)

mode

d)

range

98.

Q9) The difference between the highest score and lowest score is called

a)

Range

b)

Average

c)

Mid Point

d)

None of the above

99.

In a discrete data, what name is given to the item occurring most frequently?

a)

Median

b)

Mode

c)

Mean

d)

Frequency

100.

Not measures of central tendency

a)

Mean

b)

Range

c)

Median

d)

Mode

101.

The measure of central tendency which is given by the x-coordinate of the point of intersection of the 'more than' ogive and 'less than' ogive is :

a)

Mean

b)

Median

c)

Mode

d)

None of these

102.

A data set can have more than one mode

a)

True

b)

False

103.

When finding the median, what do you do if there are two middle numbers?

a)

Add them together and divide by 2

b)

Write them both as the answer

c)

Give up

d)

Pick one

104.

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

a)

90

b)

140

c)

220

d)

360

105.

solve for f

a)

7

b)

14

c)

21

d)

not enough information to solve

106.

In a circle, if a diameter is is perpendicular to a chord, then:

a)

it bisects the chord

b)

it bisects the corresponding arc

c)

it bisects BOTH the chord and its arc

d)

none of these answers are correct

107.

Assume that lines that appear to be tangent are tangent. O is the circle. What is the value of x?

a)

90

b)

140

c)

220

d)

360

108.

A(n) _____ to a circle is a line, ray or segment in the plane of the circle that intersects the circle in exactly one point.

a)

tangent

b)

secant

c)

radius

d)

arc

109.

What is this called?

a)

Major Arc

b)

Minor Arc

c)

Circumference

d)

Perimeter

110.

An arc is a smaller piece of the...

a)

Chord

b)

Center

c)

Circumference

d)

Radius

111.

a)

Area of a Circle

b)

Circumference of a Circle

c)

Area of a Trapezoid

d)

Area of a Triangle

112.

How many degrees are in a cirlce?

a)

90

b)

180

c)

270

d)

360

113.

a)

Secant

b)

Diameter

c)

Radius

d)

Chord

114.

Circumference is the special name for the __________ of a circle.

a)

perimeter

b)

area

c)

volume

115.

Which is the formula for circumference?

a)

b)

c)

d)

116.

A line that touches (intersects) the circle only once from the outside.

a)

Secant

b)

Chord

c)

Tangent

d)

Line

117.

What number is pi?

a)

1.41

b)

2.00

c)

3.14

d)

5.14

10th Formula Twist

Total questions: 117

Worksheet time: 2hrs 9mins

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