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(English Medium) ICSE Class 9 - CISCE Question Bank Solutions for Mathematics

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Mathematics
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If different values of variable x are 9.8, 5.4, 3.7, 1.7, 1.8, 2.6, 2.8, 8.6, 10.5 and 11.1;
find
(i) the mean ` barx `

(ii) the value of  ` sum (x_i - barx)`

[19] Mean and Median (For Ungrouped Data Only)
Chapter: [19] Mean and Median (For Ungrouped Data Only)
Concept: undefined >> undefined

The mean of 100 observations is 40. It is found that an observation 53 was misread as 83.
Find the correct mean.

[19] Mean and Median (For Ungrouped Data Only)
Chapter: [19] Mean and Median (For Ungrouped Data Only)
Concept: undefined >> undefined

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If the mean of observations x, x + 2, x + 4, x + 6 and x + 8 is 11,
find:
(i) The value of x;
(ii) The mean of first three observations.

[19] Mean and Median (For Ungrouped Data Only)
Chapter: [19] Mean and Median (For Ungrouped Data Only)
Concept: undefined >> undefined

The mean of 5 numbers is 18. If one number is excluded, the mean of the remaining number becomes 16. Find the excluded number.

[19] Mean and Median (For Ungrouped Data Only)
Chapter: [19] Mean and Median (For Ungrouped Data Only)
Concept: undefined >> undefined

Find the mean of 8, 12, 16, 22, 10 and 4. Find the resulting mean, if the observations, given above, be: divided by 2.

[19] Mean and Median (For Ungrouped Data Only)
Chapter: [19] Mean and Median (For Ungrouped Data Only)
Concept: undefined >> undefined

In the following figure, write BC, AC, and CD in ascending order of their lengths.

[11] Inequalities
Chapter: [11] Inequalities
Concept: undefined >> undefined

Find ‘x’, if:

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find 'x', if :

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find 'x', if:

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find angle 'A' if :

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find angle 'A' if :

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find angle 'A' if:

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find angle 'x' if :

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find AD, if :

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find AD, if:

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find the length of AD.
Given: ∠ABC = 60o.
∠DBC = 45o
and BC = 40 cm.

 

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find the lengths of diagonals AC and BD. Given AB = 60 cm and ∠ BAD = 60°.

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

Find AB.

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

In trapezium ABCD, as shown, AB // DC, AD = DC = BC = 20 cm and ∠ A = 60°. Find: length of AB

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined

In trapezium ABCD, as shown, AB // DC, AD = DC = BC = 20 cm and A = 60°. Find: distance between AB and DC.

[24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Chapter: [24] Solution of Right Triangles [Simple 2-d Problems Involving One Right-angled Triangle]
Concept: undefined >> undefined
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