1. Numbers 1, 2, 3……., which are used for counting are called Natural numbers and are denoted by N.

2. 0 when included with the natural numbers form a new set of numbers called Whole number denoted by W

3. -1,-2,-3……………..-are the negative of natural numbers.

4. The negative of natural numbers, 0 and the natural number together constitutes integers denoted by Z.

5. Commutative law of addition: If a and b are two real numbers then, a + b = b + a

6. Irrational numbers are the numbers which are non-terminating and non-repeating.

7. Rational and irrational numbers together constitute Real numbers and it is denoted by R.

8. Equivalent rational numbers (or fractions) have same (equal) values when written in the simplest form.

9. Terminating fractions are the fractions which leaves remainder 0 on division.

10. Recurring fractions are the fractions which never leave a remainder 0 on division.

1. Two sides of a triangle are 8cm and 11cm and its perimeter is 32cm.The third side is :
(a) 4cm
(b) 13cm
(c) 14cm
(d) 16cm

2. The base of a triangle is 12cm and height is 8cm .Its area is:
(a) 24cm²
(b) 96cm²
(c) 48cm²
(d) none

3. The sides of a triangular plot are in the ratio 3:5:7 and its perimeter is 300m . The sides of a triangle are.
(a) 60m,100m,40m
(b) 50m,80m,60m
(c) 45m,75m,95m
(d) none

4. What will be the area of quadrilateral ABCD if AB =3cm, BC=4cm, CD=4cm, DA=5cm and AC=5cm.
(a) 12.5cm
(b) 15.2cm
(c) 18.2cm
(d)19.2cm

5. Area of an equilateral triangle with side ‘a’ is _______________.

1. Boundary of Solids are
a) surfaces
b) Points
c) Lines
d) Curves

2. Express 17.4848 as rational number.

3.Show that x=1 is the zero of f(x)=2x³-3x²+7x-6.

4.If two parallel lines are intersected by a transversal,Show that the bisectors of any pair of alternate interior angles are parallel.

5. The decimal representation of 8/3 is
a) 2.66….
b)2.6
c)2.67
d)2.7

1. What is a random sample?

2. What is a Lorenz curve?

3. Define statistical series.

4. What is an index number?

5. What is a first step of a project?

6. “Statistics is both science as well as an art” Discuss The statement?

7. Define mode. How is it compute?

8. Write down the various measures of dispersion.

9. What are the three pillars of economic reforms? 1

10. What do you mean by privatization?

01 Expand ICBN and ICZN.

02. What are phanerogams? What is the other name for them?

03. The term “cell is actually a misnomer”. Explain it in one sentence.

04. Why is the spleen known as blood bank?

05. Why slime moulds are called as fungus-animals?

06. Which hormone is known as an immunosuppressive and a stress hormone?

07. Name the enzyme secreted by the digestive system of a man to digest proteins in acidic and alkaline medium.

08. What are liverworts? Why are they so called?

09. What is GERL system? Give two functions of the related cell organelle?

10. What is a palindromic region of DNA? The adenine in a DNA molecule is 20%, Find out the amount of guanine in this DNA. 

Question 1: If D,G and R denote respectively the number of degrees, grades and radians in an angle, then find the value of D/100 in grades and in radians.

Question 2: Find the value of (1+i) (1+i²) (1+i³) (1+i⁴).

Question 3: In a survey of 25 students, it was found that 15 had taken mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Using the properties of sets find the number of students that had:
(i) only Chemistry.
(ii) only Mathematics.
(iii) only Physics.
(iv) Physics and Chemistry but not Mathematics.
(v) Mathematics and Physics but not Chemistry.
(vi) only one of the subjects

Question 4: Find the equation of the ellipse whose axes are parallel to the coordinare axis having its centre at the point (2,3) one focus at (3,-3) and one vertex at (4,-3).

Question 5: Find the equation of a circle which passes through the point (2,0) and whose centre is the limit of the point of intersection of the lines 3x+5y=1 and (2+c)x+5c²y=1 as c→1.

Group Mathematical Olympiad

The competition will be conducted on 4.12.11 at different centres as per list enclosed. Top 30 students from CBSE Group will participate in INMO conducted by National board of Higher Mathematics (NBHM) on 5.2.12. Selection at National level leads to  participation at the International Mathematical Olympiad.

Fee to be Paid : 45/- (DD to be drawn infavour of Principal of the venue school as per the list of State coordinators)

 Proficiency Test Result 2011
(Class X)

Click Here to Enter your Roll Number

Important Questions – 2012
Class – X
Subject – Science (Chemical Reaction)

2. A student has been colleting silver and copper coins. One day he observed that a black coating on silver coins and a green coating on copper coins. Give the chemical names of the black and green coatings. How are they formed?

3. Tap water conducts electricity whereas distilled water does not. Explain, Why?

4. Five metals A, B, C, D and F are added to the following solutions one by one. The observations made are below :

• Read more about (Download) CBSE Class X Important Questions: 2012 - Science (Chemical Reaction)

• Read more about Revision in Weightage of Marks in Summative Assessment I & II Classes IX & X : 2011-2013

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