sample paper class 8 dav board

source:  Summative Assessment-II, Sample Papers for Practice
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DAV SA-II Board Paper Mathematics [2012-13]	DAV SA-II Board Paper Science [2012-2013]
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8th CBSE Maths Sample Questions

1. Number by which 19602 be divided, So that the quotient is a perfect square is

(a) 2 (b) 9 (c) 3 (d) 4

Sol: (a)

2. If x + 1/x = 4, then the value of x²+1/x ²  is

(a) 12 (b) 16   (c) 14 (d) 20

Sol: (c)

3. The sum of the powers of the prime factors in 108  192 is

(a) 5 (b) 7 (c) 8 (d) 12

Sol: (d)

4. The factors of x⁴ + y⁴ +x²y² are

(a) (x² + y²)(x² + y² - xy) (b) (x² + y²)(x² - y²)

(c) (x² + y² + xy)(x² + y² -xy) (d) Factorization is not possible

Sol: (c)

5. A square of maximum size is inscribed in a circle with centre O and radius r. Find area excluding area of square?

(a) r² (p - 2)          (b) 2r² (2 - p )  (c) p (r² - 2)     (d) 8r² – 8r

Sol: (a)

6. A is the father of C and D is the son of B.E is the brother of A. If C is the sister of D, how is B related to E?

(a) Daughter (b) Brother-in-law (c) Husband (d) Sister-in-law

Sol:(d)

7. The perimeter of a square is twice the perimeter of a circle and their areas are AS and AC respectively then

(a) AS> AC (b) AC > AS   (c) AS = 2AC (d) AS = AC

Sol: (a)

8. Two poles, 15 m and 30m height, stand upright in a playground. If their feet be 36m  apart. The distance between their tops is :

(a) 21 m (b) 39 m   (c) 41 m (d) 36m

Sol: (b)

9. A  44m x 11m sheet is rolled along length to form a cylinder.  Find the volume of the cylinder

(a) 773 m³   (b) 773.5 m³   (c) 775.3 m³   (d) 753.5 m³  

Sol: (b)

10.If in a quadrilateral, diagonals are equal, then it cannot be a :

(A) Square (B) Parallelogram (C) Rhombus (D) Rectangle

Sol: (c) 

CCE CBSE Sample Papers Class VIII Mathematics

CCE CBSE Sample Papers Class VIII Mathematics 

Section-A

1. The Compound interest is

a) always less than the simple interest      
 b) always equal to the simple interest

c) always greater than simple interest       
d) always greater than or equal to simple interest.

2. In case of Compound interest, the principal

a) increases every year                                    b) remains same

c) decreases every year                                    d) increase for the first year and then decreases

3. Bananas are bought at the rate of 4 for Rs. 3. At what rate must they be sold to get a gain of 20% for each banana?

a) Rs 0.50 b) Rs 0.75 c) Rs 0.85 d) Rs 0.90

4. The square root of 0.09 is

a) 0.03 b) 0.3 c) 0.003 d) 3.0

5. The smallest number by which 9408 must be divided so that the quotient is a perfect square is

a) 2 b) 3 c) 7 d) None

6. The square root of ( 2⁵/2³)

a) 4 b) 10 c) 1 d) 2

7. A parallelogram each of whose angles measures 90o is ______.

(a)rectangle      (b)rhombus      (c)kite                   (d)trapezium

8. A parallelogram whose all sides are equal is called

(a)square     (b)rhombus  (c)rectangle    (d) trapezium

9. The two diagonals are not necessarily equal in a ………………. .

(a) rectangle      (b) square       (c) rhombus  (d) isosceles trapezium

10. The degree of the polynomial x² - 5x² y³ + 30x y - 576xy is ______

(A) – 576 (B) 4 (C) 5 (D) 7

Section B

11. Name each of the following parallelograms.

(i) The diagonals are equal and the adjacent sides are unequal.

(ii) The diagonals are equal and the adjacent sides are equal.

(iii) The diagonals are unequal and the adjacent sides are equal.

12. A trader buys an article for Rs. 1,200 and marks it 30% above the C.P. He then sells it after allowing a discount of 20%. Find the S.P. and profit percent.

13. A television set was sold after giving successive discounts of 10% and 20% respectively. Find sigle discount ?

14. In how much time will a sum of Rs. 1600 amount to ` 1852.20 at 5% per annum compound interest.

15. Find the difference between Simple Interest and Compound Interest for a sum of Rs.  8,000 lent at 10% p. a. in 2 years.

Section C

16. Two adjacent angles of a parallelogram are in the ratio 4 : 5. Find the measure of each of its angles.

17. Two adjacent angles of a parallelogram are (3x - 4)° and (3x + 16)°. Find the value of x and hence find the measure of each of its angles

18. A and B together can do a piece of work in 8 days, but A alone can do it 12 days. How many days would B alone take to do the same work?

19. Two persons A and B are engaged in a work. A can do a piece of work in 12 days and B can do the same work in 20 days. They work together for 3 days and then A goes away. In how many days 
will B finish the work?

20. A can do a piece of work in 10 days and B can do it in 15 days. How much does each of them get if they finish the work and earn Rs. 1500?

Section-C

21. Find the least number of six digits which is a perfect square. Find the square root of this number.

22. Six men working 10 hours a day can do a piece of work in 24 days. In how many days will 9 men working for 8 hours a day do the same work?

23. ABCD is a square and  Ac is a diagonal . Find the measure of ∠CAD.

24.  x + y + z = 0, prove that x ³+ y³ + z³ = 3xyz.

25. Factorize   (i)   y² –7y +12  (ii)  x⁴ – (y + z)⁴          

(iii) a⁴ – 2a²b² + b⁴  (iv) (l + m) ² – 4lm

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CBSE Sample Papers Class VIII Mathematics (2012-2013)

CBSE Sample Papers Class VIII Mathematics (2012-2013)

Section-A

1) A dealer buys a wrist watch for Rs.225 and spends RS.15 on its repairs. If he sells the same for RS.300, find his profit percent.

(a) 75% (b) 60% (c) 25% (d) 20%

2) Mona gets 98 marks in her exams. This amounts to 56% of the total marks. What are the maximum marks?

(a) 175 (b) 150 (c) 200 (d) 160

3) Akhil has to pay 4% sales tax in addition to the price of a certain article. Find the price of the article, if he pays Rs.260 in all.

(a) Rs.220 (b) Rs.250 (c) Rs.256 (d) Rs.200

4) The value of a machine depreciates every year by 10%. What will be its value after 2 years, if its present value is Rs.50,000?

(a) Rs.40,500 (b) Rs.40,050 (c) Rs.40,000 (d) Rs.45,000

5) Aby lent Rs.8,000 to his friend for 3 years at the rate of 5% per annum compounded annually. What amount does Aby get afer 3 years?

(a) Rs.9,000 (b) Rs.9,200 (c)Rs.9,216 (d) Rs.9,261

6) Find the amount on Rs.4,096 at the rate of 12 ½% per annum for 18 months compounded half-yearly.

(a) Rs.5,000 (b) Rs.4,913 (c) Rs.4,931 Rs.5,832

7) The present population of a town is 28,000. If it increases at the rate of 5% per annum, what will be its population after 2 years?

(a) 30,000 (b) 30,800 (c) 30,870 (d) 30,870

9) If the cost price of 18 mangoes is the same as the selling price of 16 mangoes, find the gain percent.

(a) 15% (b) 12.5% (c0 15.5% (d) 12%

10) What is the value of „m‟, if = ?  (5²)ⁿ m = (5^-7)²

a) 5 b) -2 c) -7 d) 2

Section-B( 3 marks questions)

11. What least number must be subtracted from 7250 to get a perfect square? Also, find the square root of this perfect square

12. What is the least number by which 12348must be divided to obtain a perfect square?

13. x+ y + z = 0, prove that x³+ y³ + z3 = 3xyz.    Or,  Factorize:  (a8 – b8)

14.  If ( x2 + 1/x2) = 83 .  Find   X³- 1/X³

15.  Factorize (i) 25a² – 4b² + 28bc – 49c²     (ii) 5y² – 20y – 8z + 2yz         

16.A motor boat covers a certain distance downstream in a river in 5 hours. It covers the same distance upstream in 6 hours. The speed of water is 2 km/hr . Find the speed of the boat in still water.

17. Each side of a triangle is increased by 10 cm. If the ratio of the perimeters of the new  triangle and the given triangle is 5 : 4, find the perimeter of the given triangle

18. A dealer buys an article for Rs.380. At what price must he mark it so that after allowing a  discount of 5%, he still makes a profit of 25%?

19. Ajit buys a motorcycle for Rs.17600 including Value Added Tax. If the rate of VAT is 10%, what is the sale price of motorcycle?

20. Two sides of a parallelogram are in the ratio 5 : 3. If its perimeter is 64 cm, find the lengths of its sides.

Section-C ( 5 marks questions)

21. ABCD is a rectangle. If BM and DN are perpendiculars from B and D on AC, prove that ∆ BMC ≅ ∆ DNA. Is it true that BM = DN?

23. If (x + l)(x + m) = x² + 4x+ 2 find l² +  m² and (l - m)²

24. ABCD is a parallelogram and line segments AE and CF bisect the angles A and C and meet DC and  AB at E and F respectively. Show that AE ∥ CF.

25. The lengths of the diagonals of a rhombus are 16 cm and 12 cm respectively. Find the length of each of its sides. 

Model Test Question Papers CBSE 8th

1. Find the value of 198×198−102×102 
2. Find the remainder when x3+3x2−5x+4 is divided by x−1 
3. After allowing a discount of 8% on a toy, it is sold for Rs216.20. Find the marked price of the toy. 
4. A trader marks his goods at 40 % above the cost price and allows a discount of 25 % What is his gain per cent? 
5. How much per cent above the cost price should a shopkeeper mark his goods so that after allowing a discount of 25 % on the marked price, he gains 20% 
6. Prove that in a parallelogram, the opposite sides are equal and the opposite angles are equal 
7. In the given figure, ABCD is a parallelogram and line segments AE and CF bisect the <A and < C respectively. Show that AE II CF 
8. Prove that any two adjacent angles of a parallelogram are supplementary 
9. Write a Pythagorean triplet whose smallest number is 6 
10. The students of a class arranged a picnic. Each student contributed as many rupees as the number of students in the class. If the total contribution is Rs1156, find the strength of the class 
11. Find the least square number which is exactly divisible by each of the numbers 8,12,15and20. 
12. The length of a rectangle exceeds its breadth by 7cm. If the length is deceased by 4cm and the breadth is increased by 3cm, the area of the new rectangle is the same as the area of original rectangle. Find the length and breadth of the original rectangle. 
13. A streamer goes downstream from point A to B in 9h. From B toA, upstream, it takes 10h. If the speed of the stream is 1km/;h, what will be the speed of streamer in still water? Also find distance between the points Aand B. 
14. The denominator of a rational number is greater than its numerator by 7. If the numerator in increased by 17and the denominator decreased by 6, the new number becomes 2. Find the original number. 
15. Divide 150into three parts, such that the second number is five-sixths the first and the third number is four-fifths the second.
16. ABCD is a rectangle. If BM and DN are perpendiculars from B and D on AC, prove that ∆ BMC ≅ ∆ DNA. Is it true that BM = DN?

CBSE Sample Papers Class 8th Maths

CBSE ADDA: CBSE Sample Papers Class 8th Maths: CBSE Sample Papers Class 8th Maths,VIII Maths Solved Questions VIII_science_ sample paper term-II Download File VIII_maths_sample_paper
Rational Number
Recall, Properties of Addition of Rational Numbers, Properties of Subtraction of Rational Numbers, Properties of Multiplication of Rational Numbers, Properties of Division of Rational Numbers, Representation of Rational Numbers on the Number Line, Rational Numbers between two Rational Numbers.

Linear Equations in One Variable
Recall, Solving Linear Equations, Application of Linear Equations.

Understanding Quadrilaterals
Polygons, Sum of the measures of interior and exterior angles of Polygon, Quadrilaterals : Parallelograms and Kites, Rectangles, Squares and Rhombi, Trapezoids.
Practical Geometry
Construction of a quadrilateral when four sides and one diagonal are given, Construction of a quadrilateral when three sides and two diagonals are given, Construction of a quadrilateral when three angles and two included sides are given, Construction of a quadrilateral when three sides and their included angles are given, Construction of a quadrilateral when its four sides and one angle are given.

Data Handling
Tabulation of data, Grouping of data, Histograms, Circle Graph/Pie Chart, Chance and Probability.

Square and Square Roots
Introduction, Properties of Square Numbers, Patterns of Square Numbers, Finding Square of a Number, Finding Square Roots.
Cubes and Cubes Roots
Introduction, Cube Roots.

Comparing Quantities
(A) Percentage (B) Profit and Loss
(C) Discount and Sales Tax (D) Compound Interest
Percentage, Profit and Loss, Discount and Sales Tax, Compound Interest.

Algebraic Expressions and Identities
Addition and Subtraction of Algebraic Expressions, Product of a Monomial and a Polynomial, Product of Two Polynomials, Standard Identities,Visualizing Solid ShapesVisualizing Shapes, Faces, Vertices and Edges, and Polyhedrons.

Mensuration
Area of Special Quadrilateral, Area of a Polygon, Surface area and Volume of a Cuboid and a Cube, Surface area and Volume of a Right Circular Cylinder.

Exponents and Powers
Negative integral Exponents, Laws of integral Exponents, Expressing Numbers in the Standard Form, Converting Numbers from Standard Form to Usual Form.

Direct and Inverse Proportions
Direct Proportion, Inverse Proportion.

Factorization
Factorization by Grouping, Factorization of Trinomials of the type X^2+bx+c, Factorization of Trinomials of the type ax^2+bx+c, Factorization using Identities, Division of Algebraic Expressions.
Introduction of Graphs
Types of Graphs, Linear Graphs.
Playing with Numbers
Playing with Numbers, Games with Numbers, Tests of divisibility.

cbse math class 8th term 1 sample paper

8th maths Sample paper term -1-2011