DAV Class 8 Maths Sample paper

TIME : 3 HRS                                               CLASS: VIII                                                 M.M. : 80                         

General instructions:

• This question paper is divided into five sections: A, B, C, D and E.

• Section A consists of 1 mark questions.
• Section B consists of 2 marks questions.
• Section C consists of 3 marks questions.
• Section D consists of 4 marks questions.
• Section E consists of 5 marks questions.
• There are internal choices in section B, C, D and E.
• All questions are compulsory.
• DAV Class 8 Maths Sample paper

SECTION A

1. If a polyhedron has 8 faces and 6 vertices, find its number of edges using Euler’s formula.
2. Find the degree of polynomial (x² + 3)(x³ – 6).
3. If ∛x=5, then find the value of x.
4. The probability that it will rain tomorrow is 0.75. What is the probability that it will not rain tomorrow?

1. The distance between the points P(7, 3) and Q(7, 10) in a Cartesian plane is _________
2.  Two adjacent angles of a parallelogram are (3x-4)˚ and (3x + 10)˚. Find the value of x.
3. Using suitable identity, find the value of 10.1 x 9.8
4. Solve for x:  7y-5= 2(4y+2)
5. Find the volume of cylinder 3 cm high and having base area 8 sq. cm.
6. If x and y are in inverse variation, find the value for the constant of variation for x = 4 and y = 25
7. ASSERTION (A): 216^1/3 + 512^1/3 = 14

REASON (R): a^m x aⁿ = a b^m

1. Both A and R are true and R is the correct explanation of A.
2. Both A and R are true but R is not the correct explanation of A.
3. A is true but R is false.
4. A is false but R is true
   
   12. ASSERTION (A): The cost of 20 m of cloth is Rs. 4800, then 5 m costs Rs. 1200.

REASON (R): A direct variation shows direct relation between two quantities.

1. Both A and R are true and R is the correct explanation of A.
2. Both A and R are true but R is not the correct explanation of A.
3. A is true but R is false.
4. A is false but R is true

SECTION B (DAV Class 8 Maths Sample paper)

13. Evaluate: 

14. Find the volume of cube whose 0surface area is 150 m²

15. Find ‘x’ if 6.2x = 8.1 × 8.1 – 1.9 × 1.9

OR

Expand using identity: (-2x +6y +4)²

16. In what time will Rs. 5400 amount to Rs. 6773.76 at 12℅ per annum compounded annually.

17.  Find the height of trapezium whose area is 65 cm² and the lengths of its parallel sides are 13 cm and 26 cm.

18. Solve the equation : 3x/2 – 2x/3 = 8

19. By what number should (3/2)^-3 be divided so that the quotient may be (-8/27)^-2.

20.Find the cube root of 658503 through estimation only.

SECTION C (DAV Class 8 Maths Sample paper)

21. A gardener has 1024 plants. He wants to plant them in such a way that number of rows and number of columns remain same. Find the number of plants in each row.

22. Plot the points A(2, 3), B(2, 6), C(5, 6) and D(5, 3). Connect the points in the order so as to get a closed figure ABCD. What type of figure do you get?

23. If 2^2x-1 – 4^x-1 = 64then find the value of  ‘x’.

24. Find the length of the bridge if a train 150 m long is running at 72 km/hr crosses the bridge in 13 seconds.

25. A cycle merchant allows 25% discount on the marked price of a cycle and still makes a profit of 20%. If he gains Rs. 600 over the sale of one cycle, find the marked price of the cycle.

26. Divide 16+ 6x – 4x² + x³ by x – 3 and verify your answer.

27.If quadrilateral HOPE is a rhombus. S is the point of intersection of diagonals. Find the value of x and y if PS = 12cm, SH = (y+3) cm, ES = (2+x) and OS = (2x-1) cm. Also find the perimeter of the rhombus.

28.

 SECTION D (DAV Class 8 Maths Sample paper)

CASE STUDY

29.  In a hospital 30 patients were admitted and their pulse rates (per minute) were recorded as follows

81	79	68	72	74	63	73	78	76	73
68	76	72	69	71	71	69	72	61	81
73	75	80	73	78	80	66	64	75	71

To analyse the data, a frequency distribution table was prepared with class intervals of the type 60-65; 65-70 etc

Based on the above information, answer the following questions:

i) The range of the data is _________

ii) The class size used for making frequency distribution table is _____________

iii) In which class interval, the maximum number of patients are there? How many are there?

OR

Find the class mark of the class interval in which minimum numbers of patients are there.

30. A man buys an Industrial plot of land for Rs. 3 crores. He sells one third of it at a loss of 20% and two fifth of it at a gain of 25%.

Based on above information, answer the following questions:

i) The selling price of land which is sold at a loss of 20% is __________

ii) The selling price of land which is sold at a profit of 25% is __________

iii) At what price must he sell the remaining land so as to make an overall profit of 10%?

                                                OR

What overall profit% will he make if he sell the remaining land for 1 crore?

SECTION E

31. Two solids of right circular cylindrical shape are 49cm and 36cm high and their base diameters are 16cm and 14cm respectively. Both are melted and moulded into a single cylinder 56cm high. Find its base diameter.

OR

A cuboidal box with lid has a length of 30cm, breadth of 20cm and height 15cm. find the cost of painting the inside and outside of the box at the rate of Rs. 5.50 per cm²

32. A race boat covers a distance downstream in one and a half hour. It covers this distance upstream in 2 hours. The speed of the race-boat in still water is 35 km/hr. Find the speed of the stream.

33. Construct a quadrilateral RIDE with RI = 6cm, ID = 5cm, DE = 5.5cm, ∠I = 105˚,∠D = 60˚.

34. Mr. Suresh borrowed a sum of Rs. 65536 at 12.5% p.a. compounded annually. On the same day he lent out the same amount to Mr. Rahul at the same rate of interest but compounded half yearly. Find his gain after 2 years.

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DAV Class 8 Maths Sample paper

DAV Class 8 Maths Sample paper