ESSENCE INTERNATIONAL SCHOOL
SESSION 2023-24
STD 8 MATHS TERM 1
_______________________________________________________________
TOPIC SEC A SEC B SEC C SEC D SEC E
20X1= 5X2= 6X3= 5X4= 3X4= 80
20 10 18 20 12
RATIONAL 4X1 = 4 1X3=3 7
NOS.
LINEAR 1*2=2 1X3=3 9
EQUATIONS IN 4X1 = 4
ONE
VARIABLES
UNDERSTANDI 3X1 =3 1*2=2 1X3=3 1X5=5 1X4=4 17
NG
QUADRILATER
ALS
DATA
3X1 = 3 1*2=2 1X3=3 1X5=5 1X4=4 17
HANDLING
SQUARES AND 3 X 1= 3 1*2=2 1X3=3 1X5=5 13
SQUARE
ROOTS
CUBES AND 3X1 =3 1*2=2 1X3=3 1X5=5 1X4=4 17
CUBE ROOTS
20X1 =20 5*2=10 6X3=18 4X5=20 3X4=12 80
Essence International School
Term I (2023-2024)
Class: VIII Subject: MATHS
Marks: 80 Time: 3 hr
Student’s name: _______________________________________
General Instructions:
1. This Question Paper has 5 Sections A, B, C, D and E.
2. Section A has 20 MCQs carrying 1 mark each
3. Section B has 5 questions carrying 02 marks each.
4. Section C has 6 questions carrying 03 marks each.
5. Section D has 4 questions carrying 05 marks each.
6. Section E has 3 case based integrated units of assessment (04 marks each) with
sub-
parts of the values of 1, 1 and 2 marks each respectively.
7. All Questions are compulsory. However, an internal choice in 2 Qs of 5 marks, 2
Qs of 3
marks and 2 Questions of 2 marks has been provided. An internal choice has
been
provided in the 2marks questions of Section E
8. Draw neat figures wherever required. Take π =22/7 wherever
required if not stated
SECTION A
Choose the correct option
Q1. The value of ½ x ⅗ is equal to:
A. 1/2 B. 3/10 C. 3 D. 2/5
Q2. Q2. The additive identity of rational numbers is:
A. 0 B. 1 C. 2 D. -1
Q3. What is the reciprocal of 1/9?
A. 9 B. 0 C. 1 D. None of the above
Q4. What is the value of 100 divided by 0?
A. 0 B. 100 C. 1 D. Undefined
Q5. Which of the following is not a linear equation in one variable?
A. 33z+5 = 0 B. 33(x+y) = 0 C. 33x+5 = 0 D. 33y+5 = 0
Q6. . The solution of 2x-3=7 is:
A. 5 B. 7 C. 12 D. 11
Q7. The degree of equation x2 – 9 = 2x2 is:
A. 0 B. 1 C. 2 D. 3
Q8.. Linear equation in one variable has
(a) only one variable with any power. (b) only one term with a variable.
(c) only one variable with power 1. (d) only constant term.
Q9. For which of the following, diagonals bisect each other?
(a) Square (b) Kite (c) Trapezium (d)
Quadrilateral
Q10. What is the sum of all the angles of a pentagon?
(a) 180° (b) 360o (c) 540o (d) 720o
Q11. The angles of a quadrilateral are in the ratio 1 : 2 : 3 : 4. The smallest angle is
(a) 72o (b) 144o (c) 36o (d) 18o
Q12. If a coin is flipped in the air, what is the probability of getting a tail?
A. 0 B. ½ C. 1 D. 2
Q13. When a die is thrown, list of outcomes of an event of getting a prime
number is
(a) 2, 3, 5 (b) 1, 2, 3, (c) 1, 4, 6 (d) 2, 3, 4
Q14. Probability of getting an ace from a well-shuffled deck of 52 playing cards.
(a) 1/13 (b) 1/14 (c) 1/15 (d) 1/8
Q15. The perfect square number out of 2, 3, 4 and 5 is
(a) 2 (b) 3 (c) 4 (d) 5.
Q16. What will be the number of zeros in the square of the number 100 ?
(a) 2 (b) 4 (c ) 6 (d) 8
Q17. If area of a square is 144 cm2, then what is the side?
a) 12 cm b) √ 144 c) 12 m d) √144 mm
Q18. The one’s digit of the cube of the number 242 is
(a) 2 (b) 4 (c ) 6 (d) 8
Q19. The cube of an odd natural number is
(a) even (b) odd (c) may be even, may be odd (d) prime
number.
Q20.. Which of the following numbers is a perfect cube?
(a) 7 (b) 9 (c) 8 (d) 2
SECTION B
Q21. Solve the following equation : 4z + 3 = 6 + 2z
Q22. Using the given pattern, find the missing numbers.
2 2 2 2
1 +2 +2 =3
2 2 2 2
2 +3 +6 =7
2 2 2 2
3 + 4 + 12 = 13
2 2 2 2
_ + 5 + 20 = 21
2 2 2 2
5 +_ + 30 = 31
2 2 2 2
6 +7 +_ =_
OR
Find the square of 35 using suitable identity
Q23. Verify if 100 is a perfect cube?
Q24. A survey was made to find the type of music that a certain group of young
people liked in a city.
An adjoining pie chart shows the findings of this survey. From this pie chart,
answer the following:
i. If a cassette company were to make 1000 CDs, how many of each type would
they make?
OR
A group of 360 people were asked to vote for their favourite season from the
three:
seasons rainy, winter and summer.
(i) Which season got the most votes?
(ii)Find the central angle of each sector.
Q25. Find the measure of each exterior angle of a regular polygon of 9 sides.
SECTION C
Q26. Name the property and Verify: 1/3 × (6 × 4/3) = (1/3 × 6) × 4/3.
Q27. Simplify and solve the following linear equation:
3 (5z – 7) – 2(9z – 11) = 4(8z – 13) – 17
OR
15(y – 4) –2(y – 9) + 5(y + 6) = 0
Q28. Write a Pythagorean triplet whose one member is 8.
Q29. Find the smallest number by which 81 must be divided to obtain a perfect
cube.
OR
Find the smallest number by which 243 must be multiplied to obtain a perfect
cube.
Q30. Find the square roots of 8100 by the Prime Factorisation Method.
Q31. Given a parallelogram ABCD. Complete each statement along with the
definition or property used.
(i) ∠DCB = …… (ii) OC = …… (iii) m ∠DAB + m ∠CDA = ……
SECTION D
Q32. The number of students in a hostel speaking different languages is given
below. Display the data in a pie chart.
OR
The adjoining pie chart gives the marks scored in an examination by a student in
Hindi, English, Mathematics, Social Science and Science. If the total marks
obtained by the students were 540, answer the following questions.
(i) In which subject did the student score 105 marks?
(Hint: for 540 marks, the central angle = 360°. So, for 105 marks, what is the
central angle?)
(ii) How many more marks were obtained by the student in Mathematics than in
Hindi?
(iii) Examine whether the sum of the marks obtained in Social Science and
Mathematics is more than that in Science and Hindi (Hint: Just study the central
angles).
Q33. Using appropriate properties, find:
(i) -2/3 × 3/5 + 5/2 – 3/5 × 1/6
Q34. In the above figure both RISK and CLUE are parallelograms. Find the value of
x.
Q35. Find the square roots of 4096 by the Prime Factorisation Method.
OR
Find the least number which must be added to 525 to get a perfect square. Also
find the square root of the perfect square so obtained.
SECTION E- CASE STUDY
Q32. Ram put some buttons on the table. There were 4 blue, 7 red, 3 black and 6
white buttons in all. All of a sudden, a cat jumped on the table and knocked out
one button on the floor.
I. What is the probability that the button on the floor is blue? (1m)
II. Find the probability that button fallen on the floor is not blue. (1m)
III. Find the probability of the buttons on the table if the red and black buttons
are removed. (2m)
OR
Find the probability of the buttons on the table if the blue and white buttons are
removed.
Q33. Ramdhan is a farmer. ABCD is Ramdhan's agricultural field. Corner angles
of fields are given as ∟A= 50°, ∟B= 130°, ∟C= 120°and ∟D=x. Answer the
following questions.
i. What is the shape of Ramdhan's agricultural field? 1m
ii. What is the total angles sum of a quadrilateral? 1m
iii. What is the measure of the angle x. 2m
OR
Write the pair of parallel and non parallel sides.
Q34. A school decided to award prizes to students for discipline, cleanliness and
regularity. The number of students getting prizes in three categories Find the are
in ratio 2:3:4. If product of ratio is 192. (Take common ratio as x)
Based on the above case study answer the following:
i. Find the value of common ratio x. 2m
OR
Find the number of students getting prize for discipline.
ii. Find total number of prizes 1m
iii. If the value of each prize is ₹200 , find the total amount. 1m
