Friday 31 August 2012

8th Direct and Inverse Variation and Profit, Loss and Discount (Test Questions)

                  
Direct and Inverse Variation and Profit, Loss and Discount
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?
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?
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?
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?
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?    
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? 
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?
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?
Q-9.A train 210m long took 12 seconds to pass a 90 m long tunnel. Find the speed of the train.
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.
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.
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.            
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?              
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%?
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?
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?
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.
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.  
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?
 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?

Tuesday 28 August 2012

CBSE IX Introduction to Euclid's geometry Self Evaluation Worksheets

CBSE Class IX Introduction to Euclid's geometry 
In geometry, we take a point, a line and a plane as undefined terms.
An axiom or a postulate is a mathematical statement which is assumed to be true without proof. These assumptions are actually obvious universal truths.
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.
Theorems are statements which are proved, using definitions, axioms, previously proved statements and deductive reasoning.
Some of the Euclid’s axioms are :
(i) Things which are equal to same thing are equal to one another.
(ii) If equals are added to equals, the wholes are equal.
(iii) If equals are subtracted from equals, the remainders are equals.
(iv) Things which coincide with one another are equal to one another.
(v) The whole is greater than the part.
(vi) Things which are double of the same thing are equal to one another.
(vii) Things which are halves of the same thing are equal to one another.
5. Introduction to Euclid’s Geometry Important Terms, Definition and Results
Euclid’s five postulates are :
(i) A straight line may be drawn from any point to any other point.
(ii) A terminated line can be produced indefinitely.
(iii) A circle can be drawn with any centre and any radius.
(iv) All right angles are equal to one another.
(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.
 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.
 Euclid’s first postulate can also be stated as below :
Given two distinct points, there is a unique line that passes through them.
Two distinct lines cannot have more than one point in common.
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.
Two distinct intersecting lines cannot be parallel to the same line
IX Introduction to Euclid’s Geometry Questions with solution-1
IX Introduction to Euclid’s Geometry Questions without solution-2
9th Introduction to Euclid’s Geometry Test Paper with solution -3
9th Introduction to Euclid’s Geometry Test Paper without solution -4
IX Introduction to Euclid’s Geometry Questions with solution-5
IX Introduction to Euclid’s Geometry Questions with solution-6

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

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CBSE Sample Questions Papers Maths Ch: Triangle


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