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Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Class 9 MCQ


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30 Questions MCQ Test Mathematics (Maths) Class 9 - Test: Class 9 Math: CBSE Sample Question Paper Term I - 1

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 for Class 9 2024 is part of Mathematics (Maths) Class 9 preparation. The Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 questions and answers have been prepared according to the Class 9 exam syllabus.The Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 MCQs are made for Class 9 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 below.
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Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 1

=

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 1


Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 2

How many linear equations are satisfied by x = 2 and y = - 3?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 2

Infinitely many equations satisfy x = 2 and y = 3 as infinitely many lines pass through a single point.

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Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 3

In the figure, AB ║CD , What is x + y.

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 3


In ΔAOB , using angle sum property of triangles, we have
40 + 60 + ∠AOB = 180
⇒ ∠AOB = 180 - 100 = 80
Also, we have
x + y + ∠AOB = 180 ...(Angles on a line)
⇒  x + y + 80 = 180
⇒  x + y = 100 

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 4

The area of a triangle with base 8 cm and height 10 cm is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 4

Area = 1/2 x Base x Height
= 1/2 x 8 x 10
= 40 cm

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 5

Which of the following is a rational number?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 5

0 is an integer and all integers are rational numbers.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 6

The equation 2x + 9 = 0 on number line is represented by:

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 6

a point.
As, x = -9/2 is a point.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 7

In the given figure, AB ║ CD, CD ║ EF and y : z = 3 : 7, then x =?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 7

y : z = 3 : 7
Let common ratio be a
y = 3a
z = 7a
x = z (corresponding angle)
x = 7a
x + y =180° (interior angle)
7a + 3a =180°
10 a = 180°
a = 180/10
a = 18
x = 7a
x = 7x 18
x =126°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 8

In the given figure, BO and CO are the bisectors of ∠B and ∠C and  respectively. If ∠A = 50° then ∠BOC = ?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 8

In ΔABC we have:
∠A + ∠B + ∠C = 180° [Sum of the angles of a trianlge]
⇒ 50° + ∠B + ∠C = 180°
⇒  ∠B + ∠C = 130°
⇒ 1/2∠B + 1/2∠C = 65°
In ΔOBC we have:
∠OBC + ∠OCB + ∠BOC = 180°
⇒ 1/2∠B + 1/2∠C + ∠BOC  = 180° [Using (i)]
⇒ 65° + ∠BOC = 180°
⇒ ∠BOC = 115°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 9

If 10x = 64, what is the value of ?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 9

10x = 64
⇒ 
⇒ 
⇒ 
Now, 
= 8  x 10 = 80

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 10

In the adjoining figure, y = ?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 10

We have:
3x + 72 = 180° [ AOB is a straight line]
⇒ 3x = 108
⇒ x = 36
Also,
∠AOC + ​∠COD + ​∠BOD = 180°[ AOB is a straight line]
⇒ 36° + 90° + y = 180°
⇒ y = 54°

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 11

Value of is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 11






= 1/9

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 12

If g = , what is the value of g when t = 64?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 12







= 16 + 1/2
= 33/2

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 13

If in the figure, POQ is a straight line. The three adjacent angles are consecutive numbers, the measure of these angles is-

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 13

59o, 60o, 61o
Clearly, x + (x + 1) + (x + 2) = 180
⇒ 3x + 3 = 180
⇒ 3(x + 1) = 180
⇒ x + 1 = 60
⇒ x = 59
Hence the angles are 59, 60, 61

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 14

If (a, -2) lies on the graph of 3x - y = 10, then the value of a is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 14

(a, -2) lies on the graph of 3x - y = 10
3(a) - (-2) = 10
3a + 2 = 10
3a = 10-2
3a = 8
a = 8/3

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 15

The mid-value of a class interval is 42. If the class size is 10, then the upper and lower limits of the class are:

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 15

Let the lower limit of a class = x
class size = 10
Upper limit = x + 10
Now, mid - value =  = x + 5 = 42 (given)
x = 37 = lower limit
x + 10 = 47 = upper limit
pper and lower limits are 47, 37

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 16

The sides of a triangle are 35 cm, 54 cm and 61 cm respectively, and its area is 420√5 cm2. The length of its longest altitude is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 16

Since longest altitude is drawn opposite to the shortest side in a triangle.
Area of triangle = 1/2 x Base x Height
⇒ 420√5 = 1/2 x 35 x Height
⇒ Height = 
= 24√5 cm

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 17

The algebraic sum of the deviations of a set of n values from their mean is:

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 17

If  be the mean of the n observations q Xi, ..., Xn then we have

⇒ 
Let  be the mean of n values Xi, ..., Xn. So, we have

⇒ 
The sum of the deviations of n values Xi, ..., Xn from their mean  is



= 0

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 18

 = _____________ .

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 18





= 5/5
= 1

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 19

In Fig., the value of x, is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 19

Let,
AB, CD and EF intersect at O
∠COB = ∠AOD (Vertically opposite angle)
∠AOD = 3x + 10 ....(i)
∠AOE + ∠AOD + ∠DOF = 180o (Linear pair)
x + 3x + 10o + 90o = 180o
4x + 100o = 180o
4x = 80o
x = 20o

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 20

The equation 2x + 5y = 7 has a unique solution, if x, y are :

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 20

There is only one pair i.e., (1, 1) which satisfies the given equation but in positive real numbers, real numbers and rational numbers there are many pairs to satisfy the given linear equation. Hence, unique solution is possible only in case of Natural numbers.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 21

The lengths of the sides of ABCare consecutive integers. It ΔABC has perimeter as an equilateral triangle triangle with a side of length 9 cm, what is the length of the shortest side of ΔABC?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 21

Let the sides of ΔABC be n, n + 1, n + 2
⇒ Perimeter = n + n + 1 + n + 2
⇒ (9 + 9 + 9) = 3n + 3
⇒ 27 = 3n + 3
⇒ 3n = 24
 ⇒ n = 8 cm
Thus, the shortest side is 8 cm

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 22

A linear equation in two variables is of the form ax + by + c = 0, where

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 22

A linear equation in two variables is of the form ax + by + c = 0 as a and b are cofficient of x and y
so if a = 0 and b = 0 or either of one is zero in that  case the equation will be one variable or their will be no equation respectively. 
therefore when a ≠ 0 and b ≠ 0 then only the equation will be in two variable

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 23

The co-ordinates of a point above the x-axis lying on y-axis at a distance of 4 units are

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 23

It lies on y-axis so it's abscissa = 0 and it lies on y-axis at a distance of 4unit.
Thus point will be (0, 4).

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 24

If 102y = 25, then 10-y equals

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 24

102y = 25
102y =  25
(10y)2 = (5)2 
⇒ 10y = 5
Now 10-y
= 1/10y
= 1/5

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 25

The area of an equilateral triangle is 81√3cm2 . Its height is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 25

Area of equilateral triangle = 81√3cm2
 
⇒ (Side)2  = 81 x4
⇒ (Side)2 = 324
Side = 18 cm
Now,
Height = 
= 9√3cm

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 26

In the below figure AB ║ CD ,O is the mid point BC. Which of the following is true?

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 26

In ΔAOB andΔDOC
∠OAB = ∠ODC (alternate interior angles)
∠OBAv=v∠OCD
OB = OC (given)
So, from ASA congruence ,we have 
ΔAOB ≅ ΔDOC 
Now, from CPCT ,we have
AB = CD
OA = OD which means O is the mid-point of AD.
Hence ,all the given statements are true.

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 27

The value of is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 27










= 1/2

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 28

The point C(-5, -2) lies in

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 28

 In 3rd quadrant values of Abscissa and Ordinate both are —ve , i.e, (— , +)
Here,since value of both x and y-coordinate are -ve so it will lies in 3rd quadrant

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 29

The graph given below shows the frequency distribution of the age of 22 teachers in a school. The number of teachers whose age is less than 40 years is

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 29

Add the values corresponding to the height of the bar before 40.
6 + 3 + 4 + 2 = 15

Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 30

If side of a scalene Δ is doubled then area would be increased by

Detailed Solution for Test: Class 9 Math: CBSE Sample Question Paper Term I - 1 - Question 30

Area of triangle with sides a, b, c (A) = 
New sides are 2a, 2b and 2c
Then 
New area =  

= 4A
Increased area = 4A - A = 3A
% of increased area = 3A/A x 100 = 300%

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