PINE CREST CHILDREN ACADEMY

II nd Term Examination 2024−25

Class-8th , Subject- Mathematics

Student’s name:- _________ Time:- 2:30 Hrs

Roll no: _______ Total Marks: 100
Signature of invigilator:________

General Instruction
1- The question paper in divided into four section A, B, C and D.
2- Section A- Each question has one marks.
3- Section B- Do 6 questions out of 8 questions and each question is of 3 marks.
4- Section C- Do 6 questions out of 8 questions and each question is of 4 marks.
5- Section D- Do 3 questions out of 5 questions and each question is of 6 marks.
Section-A
1- Which of the following will have 1 at its units place?
(a) (19)2 (b) (17)2 (c) (18)2 (d) (16)2
2- The sum of successive odd numbers 1,3,5,7,9,11,13 and 15 is
(a) 81 (b) 64 (c) 49 (d) 36
3- Find the smallest number by which the number 100 must be multiplied to
Obtain a perfect cube
(a) 5 (b) 2 (c) 4 (d) 10
4- There are 50 students in a class of which 40 are boys and the rest are girls. The
ratio of the number of boys and numbers of girls is.
(a) 2:3 (b) 1:5 (c) 4:1 (d) 2:5
5- The area of rectangle whose length and breadth are 9y and 4y 2 respectively is.
(a) 4y3 (b) 9y3 (c) 36y3 (d) 13y3
Question 6 to 10 is fill in the blanks:-
6- 38x3y2z + 19xy2 is equal to ________
7- The cube of 0.3 is ___________
8- 1m2 = _________ cm2
9- √3 x represent the __________ root of the number x .
10- The cube of an odd number is always an ___________ number.

Section- B
11- Write a Pythagorean triplet whose smallest number is 12.
12- Using the given pattern , find the missing numbers.
12+22+22= 32
22+32+62= 72
32+42+122= 132
42+52= _____= 212
52+ ______ + 302= 312
62+72+ _______ = ______
13- Two adjacent angles of a parallelogram are in the ratio 4:5. Find the
measure.
14- Find the product of the following pairs of monomials:-
(a) 4 , 7p (b) 4p3 , -3p
15- Verify that:-
(3x+5y)2 - 30xy = 9x2+25y2
16- Multiplication:-
−7
(a) ( 3
4
∗5
¿∗2
9
−8 −4
(b) 9 ∗ 7 ( )
17- 72% of 25 students are interested in mathematics. How many are not
interested in mathematics?
18- What will be the unit digit of the squares of the following numbers?
(a) 272 (b) 3853
 Section-C
19- Find the squares root of each of the following numbers by division method:-
(a) 1369 (b) 5776
20- Which of the following numbers are not perfect cubes?
(a) 128 (b) 216
21- The cost of a pair of roller skates at a shop was Rs450. The sales tax charged
was 5% . Find the bill amount.
22- Add the following:-
(a) 7a2bc , -3abc2 , 3a2bc , 2abc2
(b) 9ax + 3by – cz , -5by + ax + 3cz
23- Complete the table:-

First expression Second expression Product

(i) A b+c+d ………………..
(ii) x+y+5 5xy ………………..
(iii) 4p2q2 P2-q2 …………………
(iv) p 6p2-7p+5 …………………

24- Find the product:-

(a) 15xy2 , 17yz2 (b) ( 23 xy )∗¿)

25- Find the squares root of the following decimal numbers:-
(a) 51.84 (b) 42.25
26- Find:-
−4
∗3
5
∗15
7
16 ( )
∗
−14
9
 Section-D
27- The student of class VIII of a school donated Rs2401 in all , for Prime
Minister’s
Relief fund. Each student donated as many rupees as the number of students
in the class. Find the number of students in the class.
28- (i) Express 49 as the sum 7 odd numbers.
(ii) Express 121 as the sum of 11 odd numbers.
29- Arun bought a pair of skates at a sale where the discount given was 20% . If
the amount he pays is Rs1,600 , find the marked price.
30- Find compound Interest Rs12,600 for 2 years at 10% per annum compound
annually.
31- Simplify 3x(4x-5)+3 and find its value for
1
(i) x=3 (ii) x= 2

32- Oral test (10)

33- Class test (20)
 PINE CREST CHILDREN ACADEMY
II nd Term Examination 2024−25
Class-8th , Subject- English

Student’s name:- _________ Time:- 2:30 Hrs

Roll no: _______ Total Marks: 100
Signature of invigilator:________
Section A: Grammar and Writing
Q1- Fill in the blanks with appropriate prepositions. (1x2=2)
1- Be careful. Do not fall _________ the bicyle.
2- Kareena was born ________ Kolketa_________.
Q2- Fill in the blanks with coordinating conjunctions. (½x2=1)
1- This boy is _______ intelligent ________ diligent.
2- Would you like to have a cup of tea _______coffee?
Q3- Join the following sentences using correlative conjunctions form the box.
Rewrite the sentences. (½x2=1)
as well as, no sooner than, either……or, nether…..nor

1- Shirleen is not foolish. She is not insincere.

2- They may begin their project today. They may begin their project tomorrow.
Q4- Identify the type of adverb and underline. (1x4=4)
1- Sometimes John skates to school on his roller skates.
2- He politely told us to come outside.
3- It is very cold to sit without a room heater.
 4- She has some work tomorrow; hence she can’t come to the office.
Q5- Rewrite the following sentences using the word from the bracket. (½ x2=1)
1- though he is very young, he played cricket well. (fairly)
2- They had to cook their own food. (sometimes)
Q6- Fill in the blanks with the correct option. (½x4=2)
1- Deeksha, together with her teammates,__________ (present/presents ) a
formidable opponent on the basket ball court.
2- __________ (is/ are) my boss or my sisters going to accompany me to the
meeting?
3- The floods that affect this country every monsoon________ (are/is) more
than just a nuisance.
4- Everyone selected to serve on this jury______ (have/has) to be willing to
give up lot of time.
Q7- Fill up with the correct form of verb. (½x2=1)
1- Five kilometers ___________ a long distance.
2- One of the girls ___________ missing at the picnic.
Q8- Write the present perfect tense of the verb given. (1x2=2)
1- I don’t know where the puppy is. ________you ______ it? (see)
2- He _________ (do) a lot of work today.
Q9- Rewrite the paragraph in simple past tense. (2)
I am an actor. I am a member of a theatre group. I stage plays regularly.
I also train young pupils who wish to become actors.
Q10- Change the tense of the verb in these sentences (1x4=4)
1- He works in a mill. (present continuous)
2- The cashier opens the drawer and takes out the money. (present continuous)
3- We are listening to the radio.(past continuous)
4- I will see him tomorrow. (future continuous)
Q11- Write one Synonym and one antonym of the following word ‘Formal’.
Q12- Write the meaning of the proverb ‘Make bay while the sun shines and make
 one sentence with it. (½x2=1)

Q13- Write the meaning of the following homophone. (½ x 2=1)

(i) Medal- (ii) Pair-
Meddle- Pear-
Q14- Use the proverb ‘Ins and Outs’ in a sentence. (1)
Q15- Read the following telephonic conversation between Sneha and her sister’s
Friend, Maya. (3)
Mays: Hello! IS it Preeti?
Sneha: Hi Maya! I am Preeti’s sister. Preeti has gone to tuition. Do you have
any massage for her?
Maya: Oh! Yes, please tell her that tomorrow we have an English Test in school
and it is compulsory for everyone to present.
Sneha: Oh! Sure. I will tell her when she comes.
Maya: Thank you. Bye.
As Sheha is leaving for her dance class,
Write a message on her behalf in not more than 50 words.
Q16- Your school is celebrating its Annual function. Write a notice informing the
parents and students about the various performances and asking them to give
their names if they want to participate. The entry fee if ₹500. Give suitable
details. (4)

Section-B (Literature)
Q17- Read the extract of a poem and answer the following question:- (1x3=3)
“Come and hire me” I cried,
While in the morning I was walking on a stone-poved road. Sword in hand the
king came in his chariot.
He held my hand and said, “I will hire you with my power,”
But his power counted for naught, and he went away in his chariot.
(a) Where was the poet walking?
(b) How did the king wanted to hire him?
(c) Explain “caught for naught”.

Q18- Answer the following question. (attempt any 4) (4x2=8)

(a) Why did the major choose to climb the mountain?
(b) How do you think Bepin Babu reacted when he found out that Chunilal had
 tricked him?
(c) Why did Bepin Babu change his mind about meeting Chunilal? What was the
result of this meeting?
(d) Who was the poet of the poem ‘The School Boy’?
(e) What does the title ‘The Summit Within’ means?

Q19- Write the meaning of the following words:- (any 4) (½x4=2)

(a) Humility
(b) Meek
(c) Losing his mind
(d) Intimate
(e) Jubiliant
(f) Communion

Q20- Translate the following paragraph in English (3)

,d fnu jktdqekjh lSiVSEcj vius rksrs dks xqM ekWfuZax dgus xbZ
rks mlus ns[kk fd og vius
fiatjs esa ejk gqvk iM+k gSA og QwV&QqV dj jksus yxh vkSj mldh
ukSdjkfu;k mls fnyklk nsus
ds vykok dqN Hkh ugha dj ldrh FkhaA og bruk jksbZ fd jkuh dh
ukSdjkfu;kssa us u tkurs gw,
fd D;k djuk gS] jkuh dks crk;k vkSj jkuh us dgk fd cdokl FkkA vkSj
cgrj gksrk fd cPph
fcuk fdlh Hkkstu ds fcLrj ij tkrhA
Q21- Translate the paragraph into Hindi (3)
It seemed to Princess September that her little bird had been away a long
time. Something might have happened to him. What with hawks and what
with snares you never knew what trouble he might get into. Besides, he might
forget her or he might take a fancy to somebody else. That would be dreadful.
Q22- Hand writing (5)
(a) Chaos (b) Whirl (3) Sleuthing (4) Disbelief (5) Endurance
Q23- Dictation (10)
Q24- Conversation (5)
Q25- Recitation (5)
Q26- Pronunciation (5)
Q27- Class Test (20)