Secondary School (English Medium) (5 to 8) Class 8 - CBSE Question Bank Solutions for Mathematics

Every whole number is a rational number.

0 is whole number but it is not a rational number.

Solve the following: Select the rational numbers from the list which are also the integers.

`9/4, 8/4, 7/4, 6/4, 9/3, 8/3, 7/3, 6/3, 5/2, 4/2, 3/1, 3/2, 1/1, 0/1, (-1)/1, (-2)/1, (-3)/2, (-4)/2, (-5)/2, (-6)/2`

Select those which can be written as a rational number with denominator 4 in their lowest form:

`7/8, 64/16, 36/(-12), (-16)/17, 5/(-4), 140/28`

Identify the rational number that does not belong with the other three. Explain your reasoning

`(-5)/11, (-1)/2, (-4)/9, (-7)/3`

The diagram shows the wingspans of different species of birds. Use the diagram to answer the question given below:

Albatross	Sea Gull

How much longer is the wingspan of an Albatross than the wingspan of a Sea gull?

The diagram shows the wingspans of different species of birds. Use the diagram to answer the question given below:

Golden eagle	Blue jay

How much longer is the wingspan of a Golden eagle than the wingspan of a Blue jay?

The table shows the portion of some common materials that are recycled.

1. Is the rational number expressing the amount of paper recycled more than `1/2` or less than `1/2`?
2. Which items have a recycled amount less than `1/2`?
3. Is the quantity of aluminium cans recycled more (or less) than half of the quantity of aluminium cans?
4. Arrange the rate of recycling the materials from the greatest to the smallest.

The table shows the portion of some common materials that are recycled.

Which items have a recycled amount less than `1/2`?

The table shows the portion of some common materials that are recycled.

Is the quantity of aluminium cans recycled more (or less) than half of the quantity of aluminium cans?

The table shows the portion of some common materials that are recycled.

Arrange the rate of recycling the materials from the greatest to the smallest.

The overall width in cm of several wide-screen televisions are 97.28 cm, `98 4/9` cm `98 1/25` cm and 97.94 cm. Express these numbers as rational numbers in the form `p/q` and arrange the widths in ascending order.

Roller Coaster at an amusement park is `2/3` m high. If a new roller coaster is built that is `3/5` times the height of the existing coaster, what will be the height of the new roller coaster?

Here is a table which gives the information about the total rainfall for several months compared to the average monthly rains of a town. Write each decimal in the form of rational number `p/q`.

The average life expectancies of males for several states are shown in the table. Express each decimal in the form `p/q` and arrange the states from the least to the greatest male life expectancy. State-wise data are included below; more indicators can be found in the “FACTFILE” section on the homepage for each state.

Source: Registrar General of India (2003) SRS Based Abridged Lefe Tables. SRS Analytical Studies, Report No. 3 of 2003, New Delhi: Registrar General of India. The data are for the 1995-99 period; states subsequently divided are therefore included in their pre-partition states (Chhatisgarh in MP, Uttaranchal in UP and Jharkhand in Bihar)

A skirt that is `35 7/8` cm long has a hem of `3 1/8` cm. How long will the skirt be if the hem is let down?

Manavi and Kuber each receives an equal allowance. The table shows the fraction of their allowance each deposits into his/her saving account and the fraction each spends at the mall. If allowance of each is Rs. 1260 find the amount left with each.

196 is the square of ______.

Which of the following is a square of an even number?

How many natural numbers lie between 5² and 6²?