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(English Medium) ICSE Class 10 - CISCE Question Bank Solutions for Mathematics

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Mathematics
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If a, b, c and dare in continued proportion, then prove that 

(a+ d)(b+ c)-(a+ c)(b+ d)= (b-c)2  

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Draw an ogive for the following :

Class Interval 0-10 10-20 20-30 30-40 40-50
Frequency 8 12 10 14 6
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

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Draw an ogive for the following :

Class Interval 100-150 150-200 200-250 250-300 300-350 350-400
Frequency 10 13 17 12 10 8
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Draw an ogive for the following :

Class Interval 10-19 20-29 30-39 40-49 50-59
Frequency 28 23 15 20 14
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Draw an ogive for the following:

Marks obtained Less than 10 Less than 20 Less than 30 Less than 40 Less than 50
No. of students 8 22 48 60 75
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Draw an ogive for the following :

Age in years Less than 10  Less than 20 Less than 30 Less than 40 Less than 50
No. of people 0 17 42 67 100
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Draw an ogive for the following :

Marks (More than) 0 10 20 30 40 50 60 70 80 90 100
Cumulative Frequency 100 87 65 55 42 36 31 21 18 7 0
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

Draw an ogive for the following :

Marks obtained More than 10 More than 20 More than 30 More than 40 More than 50
No. of students 8 25 38 50 67
[19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Chapter: [19] Statistics : basic concepts, Mean, Median, Mode. Histograms and Ogive
Concept: undefined >> undefined

If a, b, c are in continued proportion and a(b – c) = 2b, prove that: `a - c = (2(a + b))/a`.

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the arithmetic mean of –5 and 41.

[9] Arithmetic and Geometric Progression
Chapter: [9] Arithmetic and Geometric Progression
Concept: undefined >> undefined

Find the arithmetic mean of 3x – 2y and 3x + 2y.

[9] Arithmetic and Geometric Progression
Chapter: [9] Arithmetic and Geometric Progression
Concept: undefined >> undefined

Find the arithmetic mean of (m + n)and (m – n)2.

[9] Arithmetic and Geometric Progression
Chapter: [9] Arithmetic and Geometric Progression
Concept: undefined >> undefined

What number must be added to each of the numbers 6, 15, 20 and 43 to make them proportional?

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

What least number must be added to each of the numbers 5, 11, 19 and 37, so that they are in proportion?

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

What quantity must be added to each term of the ratio a + b: a - b to make it equal to (a + b)2 : (a - b)2 ?

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the third proportional to:
x - y, x2 - y2

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the third proportional to:
`a/b + b/c, sqrt(a^2 + b^2)`.

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the fourth proportional to:
2xy, x2, y2

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the fourth proportional to:
x3 - y2, x4 + x2y2 + y4, x - y.

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined

Find the two numbers such that their mean proprtional is 24 and the third proportinal is 1,536.

[6] Ratio and Proportion
Chapter: [6] Ratio and Proportion
Concept: undefined >> undefined
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