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SIMILARITY TEST
1. The ratio of areas of two triangles with equal heights is 3:2. The base of the larger triangle is 18 cm. Find the corresponding base of the smaller triangle.
2. Using the Basic proportionality theorem, prove that the line joining the mid points of any two sides of a triangle is parallel to the third side and half of it.
3. A vertical pole of a length 6m casts a shadow of 4 m long on the ground. At the same time a tower casts a shadow 28 m long. Find the height of the tower.
4. D is a point on side BC of ∆ ABC such that ∠ADC = ∠ BAC. Show that AC2 = BC X DC.
5. Triangle ABC has sides of length 5, 6 and 7 units while ∆ PQR has perimeter of 360 units. If ∆ ABC is similar to ∆ PQR then find the sides of ∆ PQR.
SIMILARITY TEST
1.
The ratio of areas of two triangles with equal
heights is 3:2. The base of the larger triangle is 18 cm. Find the corresponding
base of the smaller triangle.
2.
Using the Basic proportionality theorem, prove
that the line joining the mid points of any two sides of a triangle is parallel
to the third side and half of it.
3.
A vertical pole of a length 6m casts a shadow of
4 m long on the ground. At the same time a tower casts a shadow 28 m long. Find
the height of the tower.
4.
D is a point on side BC of ∆ ABC such that ∠
ADC = ∠ BAC. Show that AC2 = BC X DC.
5.
Triangle ABC has sides of length 5, 6 and 7
units while ∆ PQR has perimeter of 360 units. If ∆ ABC is similar to ∆ PQR then
find the sides of ∆ PQR.
SSC SCIENCE TEST PAPER 2
OMTEX CLASSES
“THE HOME OF SUCCESS”
Q1. A. Fill in the blanks.
1. The formula of chloride of metal M is MCl2. The metal M belongs to group ______
2. The arrangement of elements in a group of three is known as ________.
3. The element eka – aluminum in Mendeleev’s periodic table is known as _________in modern periodic table.
4. The chemical formula of POP is_________.
5. Corrosion can be prevented by using____________.
6. The chemical reactions is which heat is liberated are called _________reactions.
7. Phenolphthalein is __________type of indicator.
8. pH scale ranges from ________to_________
9. Sodium or potassium salts of higher fatty acids are termed as _________
10. 10% NaCl is known as__________.
Q2. Write short notes on
1. pH scale (with proper diagram).
2. Water of crystallization (with proper example)
Q3. Answer the following questions.
- State application (uses) of baking soda.
- In modern periodic table, which are the metals, non metals and metalloids among the first 20 elements?
- Define atomic size. How does it vary in a period and in a group?
Q4. Give Scientific reasons.
1. Physical states of reactants and products are mentioned while writing a chemical equation.
2. Iron articles rust readily whereas steel which is also mainly made of iron will not undergo corrosion.
3. Edible oil is not allowed to stand for a long time in air.
4. Metallic character decreases from left to right in a period.
SSC SCIENCE TEST PAPER 2
OMTEX CLASSES
“THE HOME OF SUCCESS”
Q1. A. Fill in the blanks.
1.
The formula of chloride of metal M is
MCl2. The metal M belongs to group ______
2.
The arrangement of elements in a group
of three is known as ________.
3.
The element eka – aluminum in
Mendeleev’s periodic table is known as _________in modern periodic table.
4.
The chemical formula of POP is_________.
5.
Corrosion can be prevented by using____________.
6.
The chemical reactions is which heat is
liberated are called _________reactions.
7.
Phenolphthalein is __________type of
indicator.
8.
pH scale ranges from ________to_________
9.
Sodium or potassium salts of higher
fatty acids are termed as _________
10. 10%
NaCl is known as__________.
Q2. Write short notes on
1.
pH scale (with proper diagram).
2.
Water of crystallization (with proper example)
Q3. Answer the following questions.
- State application (uses) of baking soda.
- In modern periodic table, which are the metals, non metals and
metalloids among the first 20 elements?
- Define atomic size. How does it vary in a period and in a group?
Q4. Give
Scientific reasons.
1.
Physical states of reactants and products are
mentioned while writing a chemical equation.
2.
Iron articles rust readily whereas steel which is
also mainly made of iron will not undergo corrosion.
3.
Edible oil is not allowed to stand for a long time
in air.
4.
Metallic character decreases from left to right in a
period.
SSC Science Test Paper 1
OMTEX CLASSES
Q1. A. Fill in the blanks.
1. ____group in the periodic table contains elements that are all gases at room temperature.
2. The law used by Newlands to arrange elements is known as_______.
3. Elements showing properties of both metals and non – metals are known as________.
4. The chemical reaction during which H2(g) is lost is termed as______.
5. When acids and alkalis react together, salt and ______are formed.
6. Most of the acidic substances are _____in taste.
7. The strength of basic substance is represented by_____.
8. Acids and bases neutralize each other to form _______and______.
9. In FeSO4. 7H2O.H2O represents______________.
10. Litmus paper or solution is obtained from a plant named________.
Q2. Write short notes on
1. Indicators (with proper example).
2. pH scale (with proper diagram).
Q3. Answer the following questions.
1. What is universal indicator? Does Mg(OH)2 react with sodium hydroxide? If not, why?
2. How could the modern periodic table remove various anomalies of Mendeleev’s periodic table?
3. What are the demerits of Mendeleev’s periodic table?
Q4. Give Scientific reasons.
1. Grills of doors and windows are always painted before they are used.
2. Potassium Ferrocyanide is stored in dark coloured bottles and kept away from sunlight.
3. Edible oil is not allowed to stand for a long time in an iron or tin container.
4. Atomic size increases down the group.
SSC Science Test Paper 1
OMTEX CLASSES
Q1. A. Fill in the blanks.
1.
____group in the periodic table contains
elements that are all gases at room temperature.
2.
The law used by Newlands to arrange
elements is known as_______.
3.
Elements showing properties of both
metals and non – metals are known as________.
4.
The chemical reaction during which H2(g)
is lost is termed as______.
5.
When acids and alkalis react together,
salt and ______are formed.
6.
Most of the acidic substances are _____in
taste.
7.
The strength of basic substance is
represented by_____.
8.
Acids and bases neutralize each other to
form _______and______.
9.
In FeSO4. 7H2O.H2O
represents______________.
10. Litmus
paper or solution is obtained from a plant named________.
Q2. Write short notes on
1.
Indicators
(with proper example).
2.
pH scale (with
proper diagram).
Q3. Answer the following questions.
1.
What is
universal indicator? Does Mg(OH)2 react with sodium hydroxide? If
not, why?
2.
How could the
modern periodic table remove various anomalies of Mendeleev’s periodic table?
3.
What are the
demerits of Mendeleev’s periodic table?
Q4. Give Scientific reasons.
1.
Grills of
doors and windows are always painted before they are used.
2.
Potassium
Ferrocyanide is stored in dark coloured bottles and kept away from sunlight.
3.
Edible oil is
not allowed to stand for a long time in an iron or tin container.
4.
Atomic size
increases down the group.
Arithmetic progression and geometric progression test
OMTEX CLASSES
“THE HOME OF SUCCESS”
1. Find the sum of first 11 positive numbers which are multiples of 6. (Ans. 54.)
2. From an A.P. first and last term is 13 and 216 respectively. Common difference is 7. How many terms are there in that A.P. Find the sums of all terms? (Ans. 40)
3. The sum of first n terms of an A.P. is 3n+n2then (i) find first term and sum of first two terms. (Ans. 1400)
4. Find four consecutive terms in an A.P. whose sum is 12 and the sum of 3rd and 4th term is 14. (Ans. 4/4, 65/12)
5. In winter, the temperature at a hill station from Monday to Friday is in A.P. The sum of the temperatures of Monday, Tuesday and Wednesday is zero and the sum of the temperatures of Thursday and Friday is 15. Find the temperature of each of the five days. (Ans. -18, -15, -12, -9)
OMTEX CLASSES
“THE HOME OF SUCCESS”
1. Find t11 from the following A.P. 4, 9, 14, … (Ans. 396)
2. In the A.P. 7, 14, 21 … How many terms are to be considered for getting sum 5740.(Ans. 30, 3435)
3. Second and fourth term of an A.P. is 12 and 20 respectively. Find the sum of first 25 terms of that A.P. (Ans. 4, 10)
4. For an A.P. given below find t20 and S10. 1/6, 1/4, 1/3, …… (Ans.-3 , 1, 5, 9)
5. Find four consecutive terms in an A.P. whose sum is – 54 and the sum of 1st and 3rd term is – 30. (Ans.-3, 0, 3, 6, 9)
Arithmetic progression and geometric progression test
OMTEX
CLASSES
“THE
HOME OF SUCCESS”
1.
Find the sum of first 11 positive numbers which
are multiples of 6. (Ans. 54.)
2.
From an A.P. first and last term is 13 and 216
respectively. Common difference is 7. How many terms are there in that A.P.
Find the sums of all terms? (Ans. 40)
3.
The sum of first n terms of an A.P. is 3n+n2
then (i) find first term and sum of first two terms. (Ans. 1400)
4.
Find four consecutive terms in an A.P.
whose sum is 12 and the sum of 3rd and 4th term is 14. (Ans. 4/4, 65/12)
5.
In winter, the temperature at a hill
station from Monday to Friday is in A.P. The sum of the temperatures of Monday,
Tuesday and Wednesday is zero and the sum of the temperatures of Thursday and
Friday is 15. Find the temperature of each of the five days. (Ans. -18, -15, -12, -9)
OMTEX
CLASSES
“THE
HOME OF SUCCESS”
1.
Find t11 from the following A.P. 4,
9, 14, … (Ans. 396)
2.
In the A.P. 7, 14, 21 … How many terms are to be
considered for getting sum 5740.(Ans. 30, 3435)
3.
Second and fourth term of an A.P. is 12 and 20
respectively. Find the sum of first 25 terms of that A.P. (Ans. 4, 10)
4.
For an A.P. given below find t20
and S10. 1/6, 1/4, 1/3, …… (Ans.-3 , 1, 5, 9)
5.
Find four consecutive terms in an A.P.
whose sum is – 54 and the sum of 1st and 3rd term is –
30. (Ans.-3, 0, 3, 6, 9)
ARITHMETIC PROGRESSION
QUADRATIC EQUATION
LINEAR EQUATIONS
PROBABILITY
STATISTICS PART ONE
PRACTICE SUMS
EXTRA HOTS SUMS
FORMULA
ALGEBRA QUESTION PAPERS
ARITHMETIC PROGRESSION
QUADRATIC EQUATION
LINEAR EQUATIONS
PROBABILITY
STATISTICS PART ONE
STATISTICS PART TWO
PRACTICE SUMS
EXTRA HOTS SUMS
FORMULA
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