Direct and Inverse Variation and Profit, Loss and Discount
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Q-1.
68 boxes of contain commodity require a shelf- length of 13.6 m . How many
boxes of the same commodity would occupy a shelf- length of 20.4m?
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Q-2.11
men can dig 27/4 m long trench in one day. How many men should be employed
for digging 27m long trench of the same type in one
day?
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Q-3.120
men had food provisions for 200 days. After 5 days, 30 men die due to an
epidemic. How long will the remaining food last?
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Q-4.A
car can finish a certain journey in 10 hours at the speed of 48km/hr.By how
much should its speed be increased so that it many take only 8 hours to
cover the same distance?
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Q-5.In
a hostel of 50 girls, there are food provisions for 40 days. If 30 more girls
join the hostel, how long will these provisions last?
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Q-6.A
worker is paid Rs.210 for 6 days work. If his total income of the month is
Rs. 875, for how many did he work?
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Q-7.A
train 400m long is running at a speed of 72km/hr.How much time does it take
to cross a telegraph post?
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Q-8.A
train 360m long is running at a speed of 45 km/hr. What time will it take to
cross a 140m long bridge?
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Q-9.A
train 210m long took 12 seconds to pass a 90 m long tunnel. Find the speed of
the train.
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Q-10.
A man sold two articles at Rs. 25920 each. These were sold at 8%gain and 4%
loss respectively. Find his gain or loss percent in the whole transaction.
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Q-11.
Some toffees are bought at the rate of 11 per Rs.10 and sold at the rate of 9
per Rs.10. If the whole lot is sold at one rupee per toffee, find his gain or
loss percent on the whole transaction.
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Q-12.
After allowing a discount of 12% on the marked price of an article, it is
sold for Rs.880, find its marked price.
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Q-13.
A shopkeeper offers his customer 10% discount and still makes a profit 26%.
What is the actual cost to him of an article marked Rs.280?
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Q-14.
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%?
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Q-15.
By selling a pair of earrings at a discount of 25% on the M.P., a jeweler
makes a profit of 16%. If the profit is Rs.48, what is the C.P.? What
is the M.P. and the price at what the pair was eventually bought?
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Q-16.
A publisher gives 32% discount on the printed price of a book to booksellers.
What does a bookseller pays for a book whose printed price is Rs.275?
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Q-17.
List price of a pair of shoes is Rs.450. If Amit paid Rs.45 as VAT for it,
find the rate of VAT.
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Q-18.
The cost of furniture inclusive of VAT is Rs.7150. If the rate of VAT is 10%,
find the original cost of the furniture.
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Q-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?
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Q-20.
Shruti bought a set of cosmetic items for Rs.345 including 15% Value Added
Tax and a purse for Rs.110 including 10% VAT. What percent is the VAT charged
on the whole transaction?
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Friday, 31 August 2012
8th Direct and Inverse Variation and Profit, Loss and Discount (Test Questions)
Tuesday, 28 August 2012
CBSE IX Introduction to Euclid's geometry Self Evaluation Worksheets
CBSE Class IX Introduction to Euclid's geometry
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In geometry, we take a point, a line and a plane as undefined terms.
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An axiom or a postulate is a mathematical statement which is assumed to be true without proof. These assumptions are actually obvious universal truths.
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We use the term postulate for the assumptions that were specific to geometry. Axioms, on the other hand are assumptions used throughout mathematics and not specifically linked to geometry.
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Theorems are statements which are proved, using definitions, axioms, previously proved statements and deductive reasoning.
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Some of the Euclid’s axioms are :
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(i) Things which are equal to same thing are equal to one another.
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(ii) If equals are added to equals, the wholes are equal.
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(iii) If equals are subtracted from equals, the remainders are equals.
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(iv) Things which coincide with one another are equal to one another.
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(v) The whole is greater than the part.
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(vi) Things which are double of the same thing are equal to one another.
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(vii) Things which are halves of the same thing are equal to one another.
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5. Introduction to Euclid’s Geometry Important Terms, Definition and Results
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Euclid’s five postulates are :
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(i) A straight line may be drawn from any point to any other point.
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(ii) A terminated line can be produced indefinitely.
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(iii) A circle can be drawn with any centre and any radius.
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(iv) All right angles are equal to one another.
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(v) If a straight line falling on two straight lines makes the interior angles on the same side of it taken together less than two right angles, then the two straight line, if produced indefinitely, meet on that side on which the sum of angles is less than two right angles.
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A system of axioms is called consistent, if it is impossible to deduce from these axioms a statement that contradicts any axioms or previously proved statement.
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Euclid’s first postulate can also be stated as below :
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Given two distinct points, there is a unique line that passes through them.
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Two distinct lines cannot have more than one point in common.
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Playfair’s Axiom : For every line l and for every point P not lying on l, there exists a unique line m, passing through P and parallel to l.
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Two distinct intersecting lines cannot be parallel to the same line
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IX Introduction to Euclid’s Geometry Questions with solution-1
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IX Introduction to Euclid’s Geometry Questions without solution-2
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9th Introduction to Euclid’s Geometry Test Paper with solution -3
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9th Introduction to Euclid’s Geometry Test Paper without solution -4
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IX Introduction to Euclid’s Geometry Questions with solution-5
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IX Introduction to Euclid’s Geometry Questions with solution-6
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Saturday, 25 August 2012
MULTIPLE CHOICE QUESTIONS CLASS VIII: GEOMETRY
1. A simple closed curve
made up of only _____________ is called a polygon .
(a)
curves (b) line
segments (c)
lines (d)
closed curves
2. A polygon with
minimum number of sides is
(a)
Pentagon
(b) Square
(c)
triangle (d) angle
3.Polygons that have
no portions of their diagonals in
their exteriors are called
(a)
Squares (b)
triangles (c) convex (d) concave
4. Polygons that have any portions
of their diagonals in
their exteriors are called
(a)
Squares (b)
triangles (c)
convex (d) concave
5. All
the sides of a regular polygon are
_________________.
(a) Parallel (b)
equal in length (c)
not parallel (d) not equal
6. . All
the angles of a
regular polygon are of ________________.
(a) 90 o (b)
60 o (c) equal measure
(d) equal length
7. Sum of
all
interior angles of a polygon with (n)
sides is given by
(a) (n – 2) x 180 o (b)
n – 2 x 180 o (c) (n + 2 )x180 o (d) n
+ 2x 180 o
8. Maximum number of right
angles
in a right angled triangle are
(a)
2
(b) 1 (c) 3 (d)
0
9.Sum of all interior angles of
a parallelogram is
(a) 180 o (b)
360o (c) 540o (d)
240o
10. The angle sum of
all interior angles of a convex
polygon of sides 7 is
(a) 180 o
(b) 540 o (c) 630 o (d)
900 o
11.
Each exterior angle of a
regular hexagon is of measure
(a) 120 o (b)
80 o (c)100 o (d)
60 o
12. The number of sides in
a regular polygon is 15 ,
then measure of each exterior angle is
(a) 24o (b) 36o
(c)20o (d)18o
13. The
measure of each interior angle of a
regular polygon is
140o,
then number of sides that regular polygon has
________
(a)
15 (b) 12 (c) 9 (d)
10
14. A parallelogram each of
whose angles measures 90o is
______.
(a)rectangle
(b)rhombus
(c)kite
(d)trapezium
15. A parallelogram
whose all sides are equal is called
(a)square
(b)rhombus (c)rectangle (d) trapezium
CBSE Sample Questions Papers Maths Ch: Triangle
c
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Sample Question Papers for Term II (March'2013)
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Support Study Materials 2011-‘12 Class X
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1. Mathematics 2. Science 3. Social Studies
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Class X Study materials (HOTS)
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SOCIAL SCIENCE X
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X Hots Questions By CBSE Term-I
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Tuesday, 14 August 2012
V MCQ Ch:Ratio and Proportional
MULTIPLE CHOICE QUESTIONS |
CLASS VI Ch- RATIO AND PROPORTION |
TIME:30MINUTES TOTALQUESTIONS=40 |
Q 1. The ratio of 90 cm to 1.5 m is........... |
(a) 3 : 5 (b) 5 : 3 (c) 60 : 1 (d) 4 : 3 |
Q 2. 6 : 4 is equivalent ratio of .............. |
(a) 2 : 3 (b) 3 : 2 (c) 1 : 2 (d) 1 : 4 |
Q 3. Find the ratio of 81 to 108 ? |
(a) (a) 3 : 4 (b) 5 : 9 (c) 4 : 3 (d) 9 : 20 |
Q 4. Fill in the blank :- 15 /18 = __/6 |
(a) 5 (b) 4 (c) 3 (d) 7 |
Q 5. Find the value of x in 4 : 3 = x : 12 ? |
(a)4 (b) 12 (c) 16 (d) 3 |
Q 6. In proportion first and the last terms are called ______________________ . |
(a) Mean terms (b) Extreme terms (c) Middle terms (d) None of these |
Q 7. The ratio is said to be in simplest form if common factor is ______. |
(a) 1 (b) 0 (c) -1 (d) None of these |
Q 8. Three terms a , b , c are said to be in proportion if ______________ . |
(a) a : b = b : c (b) a : b = c : b (c) b : a = c : a (d) c : a = a : b |
Q 9. Four terms a , b , c , d are said to be in proportion if ___________________ . |
(a) (a) a : b = c : d (b) a : c = d : b (c) a : d = b : c (d) None of these |
Q 10. If the cost of 6 cans of juice is Rs 210, then what is the cost of 4 cans of juice is ? |
(a) Rs 120 (b) Rs 140 (c) Rs 100 (d) Rs 80 |
Q 11. Fill in the blank :- 32 m : 64 m = 6 sec : ______ |
(a) 13 sec (b) 12 sec (c) 8 sec (d) 24sec |
Q 12. Which of the following is correct :- |
(a) 3 : 4 = 15 : 25 (b) 12 : 24 = 6 : 12 (c) 7 : 3 = 14 : 3 (d) 5 : 10 = 9 : 20 |
Q 13. The ratio of 15 Kg to 75 Kg is........... |
(a) 1 : 5 (b) 5 : 1 (c) 3 : 5 (d) 15 : 3 |
Q 14. 7 : 42 is equivalent ratio of .............. |
(a) 7 : 6 (b) 6 : 1 (c) 1 : 6 (d) 6 : 7 |
Q 15. Find the ratio of 33 Km to 121 Km ? |
(a) 3 : 11 (b) 11 : 3 (c) 3 : 7 (d) 7 : 3 |
Q 16. Fill in the blank :- 35 /42 = ___/6 |
(a) 5 (b) 4 (c) 3 (d) 7 |
Q 17. Find the value of x in 3 : 4 = x : 16? |
(a) 4 (b) 16 (c) 12 (d) 3 |
Q 18. Two quantities can be compared only if they are in the same ____. |
(a) Ratio (b) Units (c) Proportion (d) None of these |
Q 19. The ratio is said to be not in simplest form if common factor is ............ |
(a) 1 (b) Other than 1 (c) -1 (d) None of these |
Q 20. In Proportion the Symbol :: is used for ____________ . |
( (a) To show greater ratio (b) Two equate the two ratios (c) Two show smaller ratio (d) None of these. |
Q. No. | Answer | Q. No. | Answer | Q. No. | Answer |
1 | a | 9 | a | 17 | c |
2 | b | 10 | b | 18 | b |
3 | a | 11 | b | 19 | b |
4 | a | 12 | b | 20 | b |
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