Friday, January 19, 2024

Class 8 Maths Periodic test – II 40 marks

 

Subject: Maths

Class: VIII       Periodic test – II     Max. Marks: 40


GENERAL INSTRUCTIONS:

  • All the Questions are compulsory

  • The Question paper consists of 28 questions divided in to four sections.

  • Section A contains 10 questions of each1 marks. (MCQ)

  • Section B contains 10 questions of each 1 marks. (VSA)

  • Section C contains 4 questions of each 2 marks. (SA1)

  • Section D contains 4 questions each carries 3 marks.(SA2)


SECTION:A  Multiple Choice Questions  (10 x 1 = 10 Marks)

Q1

The diagonals of a rhombus are 7.5 cm and 12 cm. Then its area is ____ 

(a) 45 sq.cm (b) 90 sq.cm (c) 39 sq.cm (d) 19.5 sq.cm

Q2

The side of a cube whose surface area id 600 cm2 is ____

(a) 8 cm           (b) 10 cm (c) 18 cm           (d) 6 cm

Q3

The height of a cuboid whose base area is 180 cm2 and volume is 900 cm3 is ___

(a) 13 cm               (b)  6 cm     (c) 5 cm                 (d) 20 cm

Q4

If each edge of a cube is doubled, then the surface area will increase ____ times.

(a) 3                (b) 4    (c) 5                 (d) 6 

Q5

Express the following number in usual form 3.02 × 10–6 =

(a) 0.00000302         (b) 0.0302           (c) 302000          (d) 30.00002

Q6

Express the number 6020000000000000 in standard form.

(a) 6.02 x 1015         (b) 6.02 x 1010   (c) 602 x 1015          (d) 6.02 x 10-15

Q7

(-4)-2  = __________

 (a) 16         (b) -16           (c) 8           (d) 116

Q8

Total Surface Area of Cuboid is

 (a) 2(lb+bh+hl)         (b) lb+bh+hl (c) lbh         (d)   2h(l+b)

Q9

The product of (a2 ) × (2a22) × (4a26) =

  1. 8a50              (b) 124a44         (c) 7a23                    (d) 8a48

Q10

Area of a rectangle with given length = 9y and breadth = 4y2  is ____

  1. 36y              (b) 36y2            (c)   13y3                (d) 36y3


SECTION:B  Very Short Answer Type Questions  (10 x 1 = 10 Marks)

Q11

Find the product of the following pairs of monomials:       4, 7p

Q12

Add:  ab – bc, bc – ca, ca – ab

Q13

Find the volume of rectangular box with given length = a, breadth = 2b and     height =3c.

Q14

Subtract 4a-7ab+3b+12  from 12a -9ab +5b-3

Q15

The area of a rhombus is 240 cm2 and one of the diagonals is 16 cm. Find

the other diagonal.

Q16

Formula to find the Curved surface area of cylinder is ____.

Q17

1 m3 = _____ litres.

Q18

am x an = ______

Q19

Size of a bacteria is 0.0000005 m in standard form is ____

Q20

Find the value of (3– 1 + 4– 1 + 5– 1)0 


SECTION:C  Short Answer Type Questions  (4 x 2 = 8 Marks)

Q21

Multiply the binomials. (2x + 5) and (4x – 3)

Q22

Simplify the expressions and evaluate them as directed:  x (x – 3) + 2 for x = 1,

Q23

Find the value of m for which 5m ÷ 5– 3 = 55 .

Q24

A road roller takes 750 complete revolutions to move once over to level a road. Find the area of the road if the diameter of a road roller is 84 cm and length 1 m.


SECTION:D  Long Answer Type Questions  ( 4 x 3 = 12 Marks )

Q25

A milk tank is in the form of cylinder whose radius is 1.5 m and length is 7 m. Find the quantity of milk in litres that can be stored in the tank.

Q26

In a building there are 24 cylindrical pillars. The radius of each pillar is 28 cm and height is 4 m. Find the total cost of painting the curved surface area of all pillars at the rate of  ₹ 8 per m2.

Q27

Simplify:




25 x t^-4 /( 5^-3 x 10 x  t^-8 ) (t≠0)

Q28

Simplify: (a + b + c)(a + b – c) 


Class: VIII August Monthly test with Blueprint and Answer key

 BLUE PRINT FOR AUGUST MONTHLY TEST 

CLASS – VIII          SUB – MATHEMATICS              MAX MARKS: 20         

  CH. NO

CHAPTER

MCQ

1Mark

VSA     1 Mark

SA-1

2 Mark

SA-2 & CCT    3 Mark

LA      

4 Mark

TOTAL

1

RATIONAL NUMBERS


(1)1

_


-

(1)1

2

LINEAR EQUATIONS IN ONE VARIABLE

(1)1


(1)2



(2)3

3

UNDERSTANDING QUADRILATERALS

(2)2



_


(2)2

4

DATA HANDLING

(1)1



(1)3

(1)4

(3)8

5

SQUARE & SQUARE ROOTS

(1)1

(2)2


(1)3


(4)6



(5)5

(3)3

(1)2

(2)6

(1)4

(12) 20





Subject: Maths




Class: VIII August Monthly test  Max. Marks: 20


GENERAL INSTRUCTIONS:

All the Questions are compulsory

The Question paper consists of 12 questions divided in to five sections.

Section A contains 5 questions of each1 marks. (MCQ)

Section B contains 3 questions of each 1 marks. (VSA)

Section C contains 1 questions of each 2 marks. (SA1)

Section D contains 2 questions each carries 3 marks.(SA2 & Case based study)

Section E contains 1 questions each carries 4 marks.(LA)


SECTION:A (1 x 5 = 5 Marks)

Q1

The angle sum of a convex polygon with number of sides ‘n’ is

   (a) (n-2) x 180°    (b) n x 180°      (c) (n-2) x 90°     (d) (n-3) x 180°

Q2

Solve the following: 2y+4=10

   (a) 1             (b)  2          (c) 3            (d) 6

Q3

How many sides does a regular polygon have, if the measure of an exterior angle is 24° ?        

   (a) 10             (b) 15               (c) 20            (d) 24

Q4

What will be the unit digit of the squares of the number 799?

           (a) 3                       (b) 0                           (c) 1                       (d) 9

Q5

For which of these would you use a histogram to show the data:

(a) The number of letters for different areas in a postman’s bag.

(b) The number cassettes produced by 5 companies.

(c) The number of passengers boarding trains from 7.00 a.m. to 7.00 p.m. at a 

Station.        

 (d) None of these.


SECTION:B (1 x 3 = 3 Marks)

Q6

How many numbers lie between squares of the numbers 12 and 13 ?

Q7

Express 49 as the sum of 7 odd numbers.

Q8

Write 2 rational numbers greater than -2.


SECTION:C (1 x 2 = 2 Marks)

Q9

Solve the Equation 5x+9 = 5+3x


SECTION:D ( 3 x 2 = 6 Marks )

Q10

Find the squares of the number 32 using identity

Q11

Case Study – 

The number of hours for which students of a particular class watched television during holidays is shown through the given graph.

Answer the following:

(i) For how many hours did the maximum number of students watch T.V.?

(ii) How many students watched TV for less than 4 hours?

(iii) How many students spent more than 5 hours in watching TV?


SECTION:E ( 1 x 4 = 4 Marks )

Q12

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.

(iii) Draw a pie chart to show this information.


AUGUST MONTHLY TEST 

CLASS : 8         SUBJECT : MATHS             ANSWER KEY

I. CHOOSE THE CORRECT ANSWER (5 X 1 = 5)

1) (a) (n-2) x 180°    

2) (c) 3   

3  (b) 15 

4) (c) 1

5) (c) The number of passengers boarding trains from 7.00 a.m. to 7.00 p.m. at a station

SECTION –B

II Very short answer (3 X 1 = 3)

6) 24

7) 1+3+5+7+9+11+13

8) -1,1

SECTION –C

III SHORT ANSWER -1 (1 x 2 = 2)

9) 5x+9=5+3x

      5x-3x=5-9

      2x= -4

      X= -2

              SECTION –D

IV SHORT ANSWER -2 (3 x 2 = 6)

10) 32= (30+2)2 =900+120+4=1024

11) (i) 4-5 hours (ii) 34 (iii) 14 

                SECTION –E

V LONG  ANSWER (1 x 4 = 4)

12) (i) winter (ii) 90,120,150


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