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Meghalaya Board of School Education
SAMPLE
PAPERS
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MATHEMATICS
CLASS VIII
Duration: 3 Hours
Full Marks: 80
General Instructions:
Answer all questions
Please check that there are 23 Question in the Question Paper.
Marks for each Question are indicated against the Question.
The question paper is divided into 4 Section- A, B,C,D
Section A- Question 1 contains 10 objective type question of 1 mark each
Question 2 contains of 5 Fill in the blanks of 1 mark each
Question 3 contain of 5 True or False of 1 mark each
Section B- Question 4 to 13 contains 10 Very Short Answer Type of 2 marks
each
Section C- Question 14 to 18 contains 5 Short Answer Type of 3 marks each
Section D- Question 19 to 23 contains 5 Long Answer Type of 5 marks each
SECTION A
1. Multiple Choice Questions: (�� × � = �� marks)
a) An integer can be:
i) only positive
ii) only negative
iii) both positive and negative
i) none of the above
b) An item marked at ₹ 840 is sold for ₹ 714. The discount per cent
is:
i. 10%
ii. 15%
iii. 20%
iv. 25%
c) The value of �� × �� is:
i. ���
ii. ��−�
iii. ��+�
iv. none of the above
d) If we multiply 5� and ( − 4���), then we get:
i. 20�2 ��
ii. −20�2 ��
iii. �2 ��
iv. −2���
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e) Which one of the following is a regular quadrilateral?
i. Square
ii. Trapezium
iii. Kite
iv. Rectangle
f) Volume of a cuboid of length �, breadth �, and height ℎ is:
i) �2 �2 ℎ2
ii) ��ℎ
iii) 2��ℎ
iv) �3 �3 ℎ3
g) When a die is thrown, probability of getting a prime number is:
1
i) 2
1
ii)
3
1
iii)
6
2
iv)
3
h) The volume of a cube with side 4 cm is:
i) 64 ��3
ii) 16 ��3
iii) 180 ��3
iv) 38.5 ��3
i) Which of the following is not a perfect square?
i) 169
ii) 225
iii) 243
iv) 121
j) �0 is equal to:
(i) 0
(ii) 1
(iii) �
(iv) none of the above
2. Fill in the blanks: (� × � = � marks)
a) When two quantities � and � are in direct proportion, they
are written as ___________.
b) GST stands for ___________.
c) Each angle of a rectangle is a ___________.
d) A line graph which is a whole unbroken line is called a
___________.
e) The one’s digit of the square of 53 is ___________.
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3. State whether the following statements are True or False:(� × � = �
marks)
a) 1 is a factor of 5��.
b) If AB and CD are two parallel sides of a parallelogram, then AB =
CD.
c) The x-coordinate of an ordered pair is called the ordinate.
d) The square roots of 81 are 9 and −9.
e) The expression 2� − 4 is the same as 2(� + 2).
SECTION B
4. Add: � � − � , �(� − �) and �(� − �).
5. The diagonals of a rhombus are 7.5 �� and 12 ��. Find its area.
2 −5 −7 2
6. Simplify: + + +
3 12 15 9
7. Find � in the adjoining figure:
125�
�o
125�
8. Find the side of a cube whose surface area is 600 ��2 .
OR
If the area of a rhombus is 240 ��2 and one of the diagonals is 16
cm. Find the length of the other diagonal.
2 −3 1
9. Evaluate: × −
5 7 14
10. Find the height of a cylinder whose radius is 7 �� and the total
surface area is 968 ��2 .
11. Find the square root of 3481 by Division Method.
OR
Find the square root of 7.29
12. A train is moving at a uniform speed of 75 �� per hour. How far
will it travel in 20 minutes?
13. In the following parallelogram if ∠ABC = 70o , find all the other
angles.
70�
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SECTION C
14. Find the smallest natural number by which 2352 must be multiplied
so that the product is a perfect square. Find the square root of the
perfect square so obtained.
OR
Find the smallest square number that is divisible by each of the
number 4, 9 and 10.
15. What must be added to 4�3 − 4� + 8 to get 6�3 − �2 − 5.
16. Find the value � for which ( − 3)2�+1 × ( − 3)5 = ( − 3)8 .
17. The following table shows the distance covered by a cyclist over time.
Time (hours) 0 1 2 3 4
Distance (km) 0 10 20 30 40
Draw a line graph to represent the relationship between time and
distance.
18. If 15 workers can build a wall in 48 hours, how many workers will
be required to do the same work in 30 hours?
OR
A bakery sells 240 loaves of bread for ₹ 1200 . If the cost is directly
proportional to the number of loaves, how much will 360 loaves cost?
SECTION D
19. Rahul deposits ₹ 12,600 in a bank at the rate of 10% per annum,
compounded annually. Find the amount and compound interest
after 3 years.
OR
The population of a town was 18,000 in the year 1997. It increased
at the rate of 13% per annum. Find the population at the end of the
year 2000.
20. Find the cube root of 13824 by prime factorization.
21. Find the factors of:
a) �2 − 7� + 12
b) 3�2 + 9� + 6
3�−2 2�+3 2
22. Solve the linear equation: − = − �
4 3 3
23. The number of students in a hostel speaking different languages
is given below:
Language Hindi English Marathi Tamil Bengali Total
No. of students 40 12 9 7 4 72
Display the data in a pie chart.
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OR
The following pie chart gives the marks scores in an examination by a
student in Hindi, English, Mathematics, Social Science and Science. If
the total marks obtained by the student were 540, answer the following
questions.
a) In which subject did the student score 105 marks.
b) How many more marks were obtained by the student in
Mathematics than in Hindi.
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Study Materials
Notes
Model Papers Class 6 Notes
Sample Papers Class 7 Notes
Half Yearly Sample Papers Class 8 Notes
Class 9 Notes
Important Resources
Class 10 Notes
Periodic Table
Class 11 Notes
Writing Skills / Formats
Maps of India / World Class 12 Notes
Books and Solutions
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RD Sharma Solutions
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