List of top Questions asked in CBSE Class IX

Write the following in decimal form and say what kind of decimal expansion each has :

(i) \(\frac{36}{100}\) (ii) \(\frac{1}{11}\) (iii) \(4\frac{1}{8}\)

(iv) \(\frac{3}{13}\) (v) \(\frac{2}{11}\) (vi) \(\frac{329}{400}\)

What are the Guru's words of wisdom? When does the disciple remember them?

A bullet of mass 10 g traveling horizontally with a velocity of 150 m s^–1 strikes a stationary wooden block and comes to rest in 0.03 s. Calculate the distance of penetration of the bullet into the block. Also, calculate the magnitude of the force exerted by the wooden block on the bullet.

Find the sentences in the lesson which have the adverbs given in the box below. awfully sorrowfully completely loftily carefully differently quickly nonchalantly

∆ABC is an isosceles triangle in which AB = AC. Side BA is produced to D such that AD = AB (see Fig. 7.34). Show that ∠ BCD is a right angle.

∆ABC is an isosceles triangle in which AB = AC.

Explain the following giving examples.
(a) Saturated solution
(b) Pure substance
(c) Colloid
(d) Suspension

Use these adverbs to fill in the blanks in the sentences below.
awfully sorrowfully completely loftily carefully differently quickly nonchalantly

(i) The report must be read ________ so that performance can be improved.

(ii) At the interview, Sameer answered our questions _________, shrugging his shoulders.

(iii) We all behave _________ when we are tired or hungry.

(iv) The teacher shook her head ________ when Ravi lied to her.

(v) I ________ forgot about it.

(vi) When I complimented Revathi on her success, she just smiled ________ and turned away.

(vii) The President of the Company is ________ busy and will not be able to meet you.

(viii) I finished my work ________ so that I could go out to play

In Figure, if x + y = w + z, then prove that AOB is a line.

In Fig, ∠ ABC = 69°, ∠ ACB = 31°, find ∠ BDC.

ABC = 69°, ∠ ACB = 31°, find ∠ BDC.

Why does the author say, “Toto was not the sort of pet we could keep for long”?

Study the use of the word big in the following sentence. He was so big — his hands and his neck, especially his mouth… Here, big means large in size. Now, consult a dictionary and find out the meaning of big in the following sentences. The first one has been done for you.
(i) You are a big girl now. older
(ii) Today you are going to take the biggest decision of your career_____.
(iii) Their project is full of big ideas_____.
(iv) Cricket is a big game in our country.
(v) I am a big fan of Lata Mangeskar______.
(vi) You have to cook a bit more as my friend is a big eater______.
(vii) What a big heart you’ve got, Father dear______.

Verify : (i) x³+ y ³= (x + y) (x²– xy + y²) (ii) x ³ – y³ = (x – y) (x² + xy + y² ).

The following table gives the distribution of students of two sections according to the marks obtained by him:

Section A		Section B
Marks	Frequency	Marks	Frequency
0 − 10	3	0 − 10	5
10 − 20	9	10 − 20	19
20 − 30	17	20 − 30	15
30 − 40	12	30 − 40	10
40 − 50	9	40 − 50	1

Represent the marks of the students of both the sections on the same graph by two frequency polygons. From the two polygons compare the performance of the two sections.

ABC and DBC are two isosceles triangles on the same base BC (see Fig). Show that ∠ABD = ∠ACD.

ABC and DBC are two isosceles triangles on the same base BC

Match the meanings with the words/expressions in italics, and write the appropriate meaning next to the sentence. The first one has been done for you.
1. I knew a man was following me, I was scared out of my wits. (very frightened)
2. I got a fright when I realised how close I was to the cliff edge.
3. He nearly jumped out of his skin when he saw the bull coming towards him.
4. You really gave me a fright when you crept up behind me like that.
5. Wait until I tell his story — it will make your hair stand on end.
6. Paralysed with fear, the boy faced his abductors.
7. The boy hid behind the door, not moving a muscle

Study the words in italics in the sentences below. They are formed by prefixing un – or in – to their antonyms (words opposite in meaning).
• I was a short boy with rather undistinguished looks. (un + distinguished)
• My austere father used to avoid all inessential comforts.(in + essential)
• The area was completely unaffected by the war.(un + affected)
• He should not spread the poison of social inequality and communal intolerance. (in + equality, in + tolerance)
Now form the opposites of the words below by prefixing un- or in-. The prefix in-can also have the forms il-, ir-, or im- (for example: illiterate –il + literate, impractical – im + practical, irrational – ir + rational). You may consult a dictionary if you wish.

____adequate	_____acceptable	_____regular	____tolerant
_____demanding	______active	____true	____permanent
___patriotic	____disputed	____accessible	_____coherent
____logical	____legal	______responsible	_____possible

A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is Rs 12 per m², what will be the cost of painting all these cones? (Use \(\pi \) = 3.14 and take 1.04 = 1.02)

Look at these words; ... peace comes dropping slow Dropping from the veils of the morning to where the cricket sings What do these words mean to you? What do you think “comes dropping slow...from the veils of the morning”? What does “to where the cricket sings” mean?

Oil from Seeds
Vegetable oils (make) from seeds and fruits of many plants growing all over the world, from tiny sesame seeds to big, juicy coconuts. Oil (produce) from cotton seeds, groundnuts, soya beans and sunflower seeds. Olive oil (use) for cooking, salad dressing etc. Olives (shake) from the trees and (gather) up, usually by hand. The olives (ground) to a thick paste which is spread onto special mats. Then the mats (layer) up on the pressing machine which will gently squeeze them to produce olive oil.

Factorise each of the following:

(i) 8a³ + b³ + 12a 2b + 6ab²

(ii) 8a³ – b³ – 12a 2b + 6ab2

(iii) 27 – 125a³ – 135a + 225a²

(iv) 64a³– 27b³ – 144a 2b + 108ab2

(v) 27p³ – \(\frac{1}{ 216}\) – \(\frac{9 }{ 2}\) p² + \(\frac{1 }{4}\) p

How does the author describe: (i) his father, (ii) his mother, (iii) himself?

Pragya tested the solubility of three different substances at different temperatures and collected the data as given below (results are given in the following table, as grams of substance dissolved in 100 grams of water to form a saturated solution).

Substance Dissolved	Temperature in K
Substance Dissolved	283	293	313	333	353
	Solubility
Potassium nitrate	21	32	62	106	167
Sodium chloride	36	36	36	37	37
Potassium chloride	35	35	40	46	54
Ammonium chloride	24	37	41	55	66

(a) What mass of potassium nitrate would be needed to produce a saturated solution of potassium nitrate in 50 grams of water at 313 K?
(b) Pragya makes a saturated solution of potassium chloride in water at 353 K and leaves the solution to cool at room temperature. What would she observe as the solution cools? Explain.
(c) Find the solubility of each salt at 293 K. Which salt has the highest solubility at this temperature?
(d) What is the effect of change of temperature on the solubility of a salt?

Who had these opinions about Einstein?
(i) He was boring.
(ii) He was stupid and would never succeed in life.
(iii) He was a freak.

In what ways did Kezia’s grandmother encourage her to get to know her father better?

In ∆ ABC, AD is the perpendicular bisector of BC (see Fig. 7.30). Show that ∆ ABC is an isosceles triangle in which AB = AC.

perpendicular bisector of BC

List of top Questions asked in CBSE Class IX

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