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

Following table present educational level (middle stage) of females in Arunachal pradesh according to 1981 census:

Draw a histogram to represent the above data.

Distribution of height in cm of 100 people is given below:

Draw a histogram to represent the above data.

The time taken, in seconds, to solve a problem for each of 25 persons is as follows:

(i) Construct a frequency distribution for these data using a class interval of 10 seconds.
(ii) In a school the weekly pocket money of 50 students is as follow's:

Draw a histogram and a frequency polygon on the same graph. Find mode from the graph.

Draw a histogram and frequency polygon to represent the following data (on the same scale) which shows the monthly cost of living index of a city in a period of 2 years:

Draw the histogram for the following frequency distribution and hence estimate the mode for the distribution.

Draw a histogram to represent the following data:

(Use a graph paper for this question.) The daily pocket expenses of 200 students in a school are given below:

Draw a histogram representing the above distribution and estimate the mode from the graph.

Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 5x² – 1x + 4

Find the remainder (without divisions) on dividing f(x) by x – 2, where f(x) = 2x³ – 7x² + 3

Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where f(x) = 2x² – 5x + 1

Using remainder theorem, find the remainder on dividing f(x) by (x + 3) where  f(x) = 3x³ + 7x² – 5x + 1

Find the remainder (without division) on dividing f(x) by (2x + 1) where f(x) = 4x² + 5x + 3

Find the remainder (without division) on dividing f(x) by (2x + 1) where f(x) = 3x³ – 7x² + 4x + 11

Find the remainder (without division) when 2x³ – 3x² + 7x – 8 is divided by x – 1 (2000)

Find the remainder (without division) on dividing 3x² + 5x – 9 by (3x + 2)

Using remainder theorem, find the value of a if the division of x³ + 5x² – ax + 6 by (x – 1) leaves the remainder 2a.

When divided by x – 3 the polynomials x³ – px² + x + 6 and 2x³ – x² – (p + 3)x – 6 leave the same remainder. Find the value of ‘p’.

Find ‘a’ if the two polynomials ax³ + 3x² – 9 and 2x³ + 4x + a, leaves the same remainder when divided by x + 3.

 What number must be subtracted from 2x² – 5x so that the resulting polynomial leaves the remainder 2, when divided by 2x + 1 ?

What number must be added to 2x³ – 7x² + 2x so that the resulting polynomial leaves the remainder – 2 when divided by 2x – 3?