Maharashtra State BoardSSC (English Medium) 9th Standard
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SSC (English Medium) 9th Standard - Maharashtra State Board Question Bank Solutions for Algebra

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Algebra
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The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer)

Year  No  of trucks  No of buses
 2005-2006

 2007-2008

 2008-2009

 2009-2010
 
      47

      56 

      60

      63
          9

         13

         16

         18
[0.07] Statistics
Chapter: [0.07] Statistics
Concept: Concept of Bar Graph

The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer)

Year No. of Trucks No. of Buses
2005-2006 47 9
2007-2008 56 13
2008-2009 60 16
2009-2010 63 18
[0.07] Statistics
Chapter: [0.07] Statistics
Concept: Concept of Bar Graph

In the table given below, the information is given about roads. Using this draw a sub-divided and percentage bar diagram (Approximate the percentages to the nearest integer).

Year    Permanent Roads 
      ( Lakh km.)
  Temporary Roads 
      ( Lakh km.)
2000-2001           14       10
2001-2002      15    11
 2003-2004    17   13
2007-2008     20   19
[0.07] Statistics
Chapter: [0.07] Statistics
Concept: Concept of Bar Graph

The following table shows the number of Buses and Trucks in nearest lakh units. Draw percentage bar-diagram. (Approximate the percentages to the nearest integer)

Year No. of Trucks No. of Buses
2005-2006 47 9
2007-2008 56 13
2008-2009 60 16
2009-2010 63 18
[0.07] Statistics
Chapter: [0.07] Statistics
Concept: Concept of Bar Graph

M ∪ N = {1, 2, 3, 4, 5, 6} and M = {1, 2, 4} then which of the following represent set N ?

[0.01] Sets
Chapter: [0.01] Sets
Concept: Concept of Sets

Write the following rational numbers in `p/q` form

0.6°

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Write the following rational numbers in `p/q` form

0.37

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Write the following rational number in `p/q` form

15.89

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Show that `4sqrt2` is an irrational number. 

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Prove that 3 +`sqrt 5`  is an irrational number.

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Represent the numbers `sqrt 5` and `sqrt 10` on a number line.

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Write any three rational numbers between the two numbers given below.

1) 0.3 and -0.5

2) -2.3 and -2.33

3) 5.2 and 5.3

4) -4.5 and -4.6

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Solve the following sets of simultaneous equations.
 x + y = 4 ; 2x - 5y = 1

[0.05] Linear Equations in Two Variables
Chapter: [0.05] Linear Equations in Two Variables
Concept: Linear Equation in Two Variables

Choose the correct alternative answer for the question given below.

Which one of the following is an irrational number ?

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Choose the correct alternative answer for the question given below.

Which of the following is an irrational number?

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Choose the correct alternative answer for the questions given below.

What is `sqrt n` , if n is not a perfect square number ?

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Show that `5 +sqrt 7`  is an irrational number.

[0.02] Real Numbers
Chapter: [0.02] Real Numbers
Concept: Rational Numbers

Using the property `a/b = (ak)/(bk)` , fill in the blanks substituting proper numbers in the following.
`5/7` = `(.......)/28 = 35/(.......) = (.........)/3.5`

[0.04] Ratio and Proportion
Chapter: [0.04] Ratio and Proportion
Concept: Concept of Ratio

Using the property `a/b = (ak)/(bk)` , fill in the blanks substituting proper numbers in the following.
`9/14 = 4.5/(.......) = (........)/ 42 = (......) /3.5`

[0.04] Ratio and Proportion
Chapter: [0.04] Ratio and Proportion
Concept: Concept of Ratio
Find the following ratio.
The ratio of radius to circumference of the circle.
[0.04] Ratio and Proportion
Chapter: [0.04] Ratio and Proportion
Concept: Concept of Ratio
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