11th Maths Weekly Test-4 ( Basic Algebra )

St. Britto Hr. Sec. School - Madurai

11th Maths Weekly Test-4 ( Basic Algebra )-Aug 2020

Time : 1.00 Hours

Part - A

Generic 3 - Answer All Question

Evaluate log \({{(\sqrt{\sqrt{625}+11})(\sqrt{64})}\over{\sqrt{\sqrt [ 5 ]{ 3125 }+\sqrt{\sqrt [ 3 ]{ 343 } } }}}\)

Solve \(\sqrt [ 8 ]{{{x}\over{x+3}} } -\sqrt{{{x+3}\over{x}}}=2.\)

Construct a cubic polynomial function having zeros at x=\(\frac{2}{5},1+\sqrt{3}\) such that f(0)=-8

Find all values of x for which \({{x^3(x-1)}\over{x-2}}>0.\)

Resolve into partial fractions:\(\\ \\ \\ \\ \frac { 10x+30 }{ ({ x }^{ 2 }-9)(x+7) } \)

A man wants to cut three lengths from a single piece of board of length 91 cm. The second length is to be 3 cm longer than the shortest and the length is to be twice as long as the shortest. What are the possible lengths for the shortest board if the third piece is to be at least 5 cm longer than the second?

Solve \(-{ x }^{ 2 }+3x-2\ge 0\)

To secure an A grade one must obtain an average of 90 marks or more in 5 subjects each of maximum 100 marks. If one scored 84, 87, 95, 91 in first four subjects, what is the minimum mark one scored in the fifth subject to get A grade in the course?

Find x if \({{1}\over{2}}\) log₁₀ \((11+4\sqrt{7})\) = log₁₀ (2+x).

Solve \(\frac { 4 }{ x+1 } \le 3\le \frac { 6 }{ x+1 } ,x>0\)

Comment

Add Comment

InstaQB

Institutions

12th Standard English Medium

12th Standard Tamil Medium

11th Standard English Medium

11th Standard Tamil Medium

10th Standard English Medium

9th Standard English Medium

8th Standard English Medium

7th Standard English Medium

Class XII

Class XI

12Th Standard

11Th Standard

10Th Standard

9Th Standard

11th Maths Weekly Test-4 ( Basic Algebra )

St. Britto Hr. Sec. School - Madurai

11th Maths Weekly Test-4 ( Basic Algebra )-Aug 2020

Part - A

Generic 3 - Answer All Question

Evaluate log \({{(\sqrt{\sqrt{625}+11})(\sqrt{64})}\over{\sqrt{\sqrt [ 5 ]{ 3125 }+\sqrt{\sqrt [ 3 ]{ 343 } } }}}\)

Solve \(\sqrt [ 8 ]{{{x}\over{x+3}} } -\sqrt{{{x+3}\over{x}}}=2.\)

Construct a cubic polynomial function having zeros at x=\(\frac{2}{5},1+\sqrt{3}\) such that f(0)=-8

Find all values of x for which \({{x^3(x-1)}\over{x-2}}>0.\)

Resolve into partial fractions:\(\\ \\ \\ \\ \frac { 10x+30 }{ ({ x }^{ 2 }-9)(x+7) } \)

Solve \(-{ x }^{ 2 }+3x-2\ge 0\)

To secure an A grade one must obtain an average of 90 marks or more in 5 subjects each of maximum 100 marks. If one scored 84, 87, 95, 91 in first four subjects, what is the minimum mark one scored in the fifth subject to get A grade in the course?

Find x if \({{1}\over{2}}\) log10 \((11+4\sqrt{7})\) = log10 (2+x).

Solve \(\frac { 4 }{ x+1 } \le 3\le \frac { 6 }{ x+1 } ,x>0\)

Comment

Other Study material

11th Maths Weekly Test - 3 ( Vector Algebra )

11th Maths Weekly Test -4 ( Vector Algebra )

11th Maths Monthly Test- 1 (Vector Algebra )

11th Maths Monthly Test -2( Vector Algebra )

11th Maths Monthly Test - 3 ( Vector Algebra )

11th Maths Monthly Test - 4 ( Vector Algebra )

11th Maths Weekly Test -1( Differential Calculus

11th Maths Weekly Test-2 ( Differential Calculus -

11th Maths Weekly Test - 3 ( Differential Calculus

11th Maths Weekly Test - 4 ( Differential Calculus

11th Maths Monthly Test -1( Differential Calculus

11th Maths Monthly Test -2( Differential Calculus

11th Maths Monthly Test - 3( Differential Calculu

11th Maths Monthly Test - 4 ( Differential Calcul

11th Maths Weekly Test - 1 ( Differential Calculus

Tamilnadu Stateboardszs - Class

Find x if \({{1}\over{2}}\) log₁₀ \((11+4\sqrt{7})\) = log₁₀ (2+x).