Marks obtained by 40 students in a short assessment is given belo

Subject

Mathematics

Class

ICSE Class 10

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 Multiple Choice QuestionsShort Answer Type

1.

If A = 31- 12 and B = 1001, Find A2 - 5A + 7I


2.

The monthly pocket money of Ravi and Sanjeev are in the ratio 5:7. Their expenditures are in the ratio 3:5. If each saves Rs. 80 every month, find their monthly pocket money


3.

Using the Remainder Theorem factorise completely the following polynomial.

3x3 + 2x2 – 19x + 6


4.

On what sum of money will the difference between the compound interest and simple interest for 2 years be equal to Rs. 25 if the rate of interest charged for both is 5% p.a.?


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5.

ABC is an isosceles right angled triangle with ∠ABC = 90°. A semi-circle is drawn with AC as the diameter. If AB = BC = 7 cm, find the area of the shaded region.
Take (π = 227)


6.

Given a line segment AB joining the points A(– 4, 6) and B(8, – 3). Find

(i) The ratio in which AB is divided by y-axis.

(ii) Find the coordinates of the point of intersection.

(iii) The length of AB.


7.

In the given figure O is the centre of the circle and AB is a tangent at B. If AB = 15 cm and AC = 7.5 cm. Calculate the radius of circle.


8.

Evaluate without using trigonometric tables:

cos226° + cos64°sin26° + tan36°cot54°


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9.

Marks obtained by 40 students in a short assessment is given below, where a and b are two missing data.
Marks 5 6 7 8 9
Number of Students 6 a 16 13 b

If the mean of the distribution is 7.2, find a and b.


It is given that the number of students is 40.

 35 +a + b = 40 a + b - 5 =0    ...(i)

We have,Mean = fxf 246 + 6a + 9b35 + a + b = 7.2

 246 + 6a + 9b = 7.2(35 + a + b)

 246 + 6a + 9b = 252 + 7.2a + 7.2b 

 0 = 252 - 246 + 7.2a - 6a + 7.2b - 9b

 6 + 1.2a - 1.8b = 0

 10 + 2a - 3b = 0    ...(ii)

Solving equation (i) and (ii), we have

5a - 5 = 0Thus, a = 1

From equation (i), we get b = 4

Hence, value of a and b are 1 and 4 respectively.

Marks(x) Number of Students(f) fx
5 6 30
6 a 6a
7 16 112
8 13 104
9 b 9b
  f = 35 + a + b fx = 246 + 6a + 9b

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10.

Kiran deposited Rs. 200 per month for 36 months in a bank’s recurring deposit account. If the bank pays interest at the rate of 11% per annum, find the amount she gets on maturity.


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