Which of the following is the product of \(\left( \frac { -7 }{ 8 } \right) \) and \(\frac { 2 }{ 21 }\)?

1

(a)

\(-\frac { 1 }{ 12 } \)

(b)

12

(c)

\(\frac { -63 }{ 16 } \)

(d)

\(\frac { -16 }{ 147 } \)

Find the smallest number by which the number 1296 must be divided to obtain a perfect cube.

1

(a)

6

(b)

2

(c)

4

(d)

3

Observe the histogram and answer the question given below:

How many players make runs less than 40?

1

(a)

8

(b)

2

(c)

18

(d)

10

Which of the following can be four interior angles of a quadrilateral?

1

(a)

70°, 90°, 45°, 130°

(b)

35°, 49°, 9r, 17°

(c)

140°, 60°, 60°, 90°

(d)

25°, 145°, 85°, 105°

Which of the following is a regular quadrilateral?

1

(a)

rectangle

(b)

square

(c)

rhombus

(d)

trapezium

Which of the following is the value of\(\left( x+\frac { 1 }{ x } \right) ^{ 2 }\) ?

1

(a)

\(x^{ 2 }+\frac { 1 }{ x^{ 2 } } \)

(b)

\(x^{ 2 }-\frac { 1 }{ x^{ 2 } } \)

(c)

\(x^{ 2 }+\frac { 1 }{ x^{ 2 } } +2\)

(d)

\(x^{ 2 }+\frac { 1 }{ x^{ 2 } } +2x\)

If the height of a cuboid becomes zero, it will take the shape of a

1

(a)

cube

(b)

parallelogram

(c)

circle

(d)

rectangle.

If 'x' and 'y' are in a direct propostion then which of the following is correct?

1

(a)

x-y = constant

(b)

x +y = constant

(c)

x \(\times\) y = constant

(d)

\(\frac { x }{ y } \) = constant

The common factor of 2x, 3x³, 4 is

1

(a)

1

(b)

2

(c)

3

(d)

4

Numbers	Associative for
	Addition	Subtraction	Multiplication	Division
Rational numbers	___________	____________	___________	No

1

(a)

Numbers	Associative for
	Addition	Subtraction	Multiplication	Division
Rational numbers	Yes  \(e.g {-1\over2} + [{3\over7}+{-4\over3}]\\ =[{-1\over2}+{3\over7}]+({-4\over3}) \\ \Rightarrow {-1\over2}+({9-28\over21}) \\ = ({-7+6\over14}) -{4\over3} \\ \Rightarrow - {1\over2}-{19\over21}={-1\over14}-{4\over3} \\ \Rightarrow{-59\over42}={-59\over42},\) which is true	No \(e.g {-2\over3} -({-4\over5}-{1\over2}) \\ \neq [{-2\over3}-({-4\over5})]-{1\over2}\\ \Rightarrow{-2\over3} - ({-8-5\over10})\neq [{-10+12\over15}]-{1\over2} \\ \Rightarrow -{2\over3}+{13\over10}\neq {2\over15}-{1\over2}\\ \Rightarrow {-20+39\over30}\neq {4-15\over30}\Rightarrow {19\over30}\neq {-11\over30}\) which is not true.	Yes e.g \({2\over3} \times({-6\over7}\times{4\over5})\\ =({2\over3}\times {-6\over7})\times {4\over5}\\ \Rightarrow {2\over3} \times ({-24\over35}) \\ {-12\over21} \times{4\over5} \\ \Rightarrow {-16\over35}={-16\over35},\) which is true.	No \({1\over2}\div[{-1\over3}\div {2\over5}]\neq [{1\over2}\div({-1\over3})] \div {2\over5}\\ \Rightarrow {1\over2}\div [-{1\over3}\times {5\over2}] \\ \neq [ {1\over2}\times(-{3\over1})]\div {2\over5}\\ \Rightarrow {1\over2}\times (-{6\over5})\neq [{-3\over2}] \times{5\over2}\\ \Rightarrow {-3\over5} \neq {-15\over4}\) which is not true

The standard form of \(\frac{1}{10000000000}\) is ____________

1

(a)

10^-10

1² = 1, then square root of 1 =_______.

1

(a)

1

_______ is a regular quadrilateral.

1

(a)

Square

Volume of a cylinder with radius r and height h is_____ 

1

(a)

V= \(\pi\)r²h

\({2\over3}-{5\over4}={5\over4}-{2\over3}\)

1

(a) True

(b) False

A 2-digit number ab is always divisible by 2, if b is an even number.

1

(a) False

(b) True

Cube of any odd number is even.

1

(a) True

(b) False

In the point (4,3),3 denotes the x-coordinate and 4 denotes the y-coordinate.

1

(a) True

(b) False

Every rectangle is a rhombus

1

(a) True

(b) False

Is a rational number the quotient of two integers such that the denominator is a nonzero integer?

1

(a)

yes

Using the long division method find the square root of the following numbers.
14400

1

(a)

120

A group of students was asked for their favourite subject. The results were listed as under: Art, Mathematics, Science, English, Mathematics, Art, English, Mathematics, English, Art, Science, Art, Science, Science, Mathematics, Art, English, Art, Science, Mathematics, Science, Art. Answer the following questions:
(i) Which is the most liked subject?
(ii) Which is the least liked subject?

1

(a)

(i) Art
(ii) English

Find the value of \({ x }^{ 2 }+\frac { 1 }{ { x }^{ 2 } } +2x\) at x =1

1

(a)

4

Divide: 70x²y²z² \(\div \) 140 xyz

1

(a)

\(\frac { 1 }{ 2 } xyz\)

______ + \((-\frac{11}{7})=(-\frac{11}{7})+\) ________ =0.

3

(a)

Which of the following numbers would have digit 6 at unit's place? 26²

3

(a)

Check which of the following are perfect cubes.What pattern do you observe in these perfect cubes?
2700

3

(a)

In the following figure, ABCD is a parallelogram. Find the values of x, y and z.

3

(a)

Simplify:(1.5x- 4y) (1.5x+ 4y+ 3) - 4.5x + 12y

3

(a)

Find and correct the errors in the following mathematical statements.
(2a + 3b)(a - b) = 2a² - 3b²

3

(a)

Present ages of Shaloo and Preeti are in the ratio 5: 4. 5 years from now the ratio of their ages will be 6: 5. Find their ages.

3

(a)

A shop gives 10%discount. What would be the sale price of each of these a pair of shoesmarked at Rs 650?

3

(a)

The area of a quadrilateral shaped field is 252 m². The perpendiculars droped on it from the opposite comers on a diagonal are 8 m and 13 m. Find the length of the diagonal.

3

(a)

Factorise the following expressions.4p² - 9q²

3

(a)

Segal bought 5 \(2\over3\)kg of sweets for Diwali celebration. On the way to her home, she distributed\(2\over7\)  of sweets to street children and \(5\over11\) of sweets to some children suffering from cancer in a hospital.
(a) How much sweets she is left with?
(b) What kind of values are depicted by Segal?

5

(a)

If 53a is divisible by 9, then find the value of a.

5

(a)

1. Draw an appropriate graph to represent the given information.

   Children who prefer	School A	School B	School C
   Walking	40	55	15
   Cycling	45	25	35

   5

   (a)

2. I have a total of Rs. 300 in coins of denomination Rs. 1, Rs.2 and Rs. 5. The number of Rs. 2 coins is 3 times the number of Rs.5 coins. The total number of coins is 160.How many coins of each denomination are with me?

   5

   (a)

1. Complete the following crossword puzzle using the given directions for Across [from left to right} and Down [from top to bottom).
   
   Across:
   (1) The points where, the sides of a polygon meet are called _________
   (2) A polygon made by six sides is called a __________
   (3) The side joining two vertices is called a ____________
   (4) 'A four sided polygon is called a ____________
   (5) A five sided polygon is called a  _________
   Down:
   (6) A parallelogram having all of its four sides equal is called a ____________
   (7) A simple closed figure made of only line segments is called a __________
   (8) The line segment joining the opposite sides of a polygon (except triangle) is called a ___________ of the polygon.

   5

   (a)

2. A company increased its production of two wheelers from 50000 in 2013 to 65000 in 2014. Find the annual rate of growth of production of two wheelers?

   5

   (a)

1. Evaluate using suitable identities
   (i) (48)²
   (ii) 181²-19²
   (iii) 497x 505
   (iv) 2.07x1.93

   5

   (a)

2. 
   Polygon ABCDE is divided into parts as shown Find its area, if AD = 8 cm, AH=6cm, AG = 4cm, AF= 3cm and perpendiculars BF = 2 cm, CH= 3 cm, EG = 2. 5cm Areaof polygon ABCD = Area of ΔAFB+...
   Area of ΔAFB =\(\frac { 1 }{ 2 } \times \) AF\(\times\) BF=\(\frac { 1 }{ 2 } \times \) 3\(\times\) 2 = ..
   Area of trapezium FBCH = FH \(\times\)\(\frac { (BF+CH) }{ 2 } \)   
   = \(3\times \frac { (2+3) }{ 2 } \) +.... [∵ FH=AH-AF]
   Area of ΔCHD =\(\frac { 1 }{ 2 } \times \) HD \(\times\) CH
   Area of ΔADE =\(\frac { 1 }{ 2 } \times \) AD\(\times\) GE = ...
   So,the area of polygon ABCDE =...

   5

   (a)

1. Take a sheet of paper. Fold it as shown in the figure. Count the number of parts and the area of a part in each case.
   
   Tabulate your observations and discuss with your friends. Is it a case inverse proportion? Why?

   Number of parts	1	2	4	8	16
   Area of each part	area of the paper	\(\frac { 1 }{ 2 } \)the area of the paper	...	...	...

   5

   (a)

2. The curved surface area of a cylinder is 2\(\pi \) (y² + 7y + 12) and its radius is (y + 3). Find the height of the cylinder. (CSA of cylinder = 2\(\pi \)rh)

   5

   (a)