List of practice Questions

Write the following equations in statement forms:
(i)p+4=15
(ii)m-7=3
(iii)2m=7
(iv)\(\frac{m}{5}\)=3
(v)\(\frac{3m}{5}\)=6
(vi)3p+4=25
(vii)4p-2=18
(viii)\(\frac{p}{2}\)+2=8
Mention any two presentation softwares used for digital presentation.
What are slides in a presentation?
Explain any two ways to format the content in a spreadsheet.
Give reasons.
  1. Water is not used to control fires involving electrical equipment.
  2. LPG is a better domestic fuel than wood.
  3. Paper by itself catches fire easily whereas a piece of paper wrapped around an aluminium pipe does not. 
If p=–2,find the value of: (i)4p+7 (ii) –3p2+4p+7 (iii)–2p3–3p2+4p+7

Solve system of linear equations, using matrix method.
 x-y+2z=7
 3x+4y-5z=-5
 2x-y+3z=12

How many molecules are present in 11.2 L of \(CO_{2}\) at STP?

A ray of light passes through a glass slab with refractive index \( n = 1.5 \) at an angle of incidence of \( 30^\circ \). What is the angle of refraction inside the glass? (Use \( \sin 30^\circ = 0.5 \))
The distance of the point (3, 4, 5) from X-axis is

How are fats digested in our bodies? Where does this process take place?

In this story, Ausable shows great ‘presence of mind,’ or the ability to think quickly, and act calmly and wisely, in a situation of danger and surprise. Give examples from your own experience, or narrate a story, which shows someone’s presence of mind.
A group of \(360\) people were asked to vote for their favourite season from the three seasons rainy, winter and summer. 
  1. Which season got the most votes? 
  2. Find the central angle of each sector. 
  3. Draw a pie chart to show this information.
SeasonNumber of votes
Summer90
Rainy120
Winter150


 

Mention the following. 

(i) Two examples of social practices prevailing then. 

(ii) Two oppressive policies of the British. 

(iii) Two ways in which common people suffered. 

(iv) Four reasons for the discontent that led to the 1857 War of Independence.

State the basic steps to insert a square shape in a presentation.

Prove: \(2\ tan^{-1}(cos\ x)=tan^{-1}(2\ cosec\ x)\)

When he felt the earthquake, do you think Ignesious immediately worried about a tsunami? Give reasons for your answer. Which sentence in the text tells you that the Ignesious family did not have any time to discuss and plan their course of action after the tsunami struck?

According to recent research, air turbulence has increased in various regions around the world due to climate change. Turbulence makes flights bumpy and often delays the flights. 
Assume that an airplane observes severe turbulence, moderate turbulence or light turbulence with equal probabilities. Further, the chance of an airplane reaching late to the destination are 55\%, 37\% and 17\% due to severe, moderate and light turbulence respectively. 
On the basis of the above information, answer the following questions: 
Find the probability that an airplane reached its destination late. If the airplane reached its destination late, find the probability that it was due to moderate turbulence.

We have carefully distinguished between average speed and magnitude of average velocity. No such distinction is necessary when we consider instantaneous speed and magnitude of velocity. The instantaneous speed is always equal to the magnitude of instantaneous velocity. Why?
Maximum number of orbitals possible when n = 4 and m = 0?
If U = {a, b, c, d, e, f, g, h}, find the complements of the following sets:
(i) A = {a, b, c}
(ii) B = {d, e, f, g}
(iii) C = {a, c, e, g}
(iv) D = {f, g, h, a}
An object of mass 1 kg travelling in a straight line with a velocity of 10 m s–1 collides with, and sticks to, a stationary wooden block of mass 5 kg. Then they both move off together in the same straight line. Calculate the total momentum just before the impact and just after the impact. Also, calculate the velocity of the combined object.
What are the oxidation numbers of the underlined elements in each of the following and how do you rationalise your results? 
(a) KI3 (b) H2S4O6 (c) Fe3O4 (d) CH3CH2OH (e) CH3COOH
Find the product.
(i) (5 – 2x) (3 + x) 
(ii) (x + 7y) (7x – y) 
(iii) (a2+ b) (a + b2) 
(iv) (p2 – q2) (2p + q)

Name these people. 

(i) The ruler who fought pitched battles against the British and died fighting. 

(ii) The person who wanted to reform the society.

(iii) The person who recommended the introduction of English education in India. 

(iv) Two popular leaders who led the revolt (Choices may vary.)