KVS Junior Mathematics Olympiad (JMO)
M.M. 100Time : 3 hours
Note : Attempt all questions.
SAMPLE PAPER – I
All questions carry equal marks
Q.1Resolve into factors : 99899
Q.2The number 21328 has a unique feature :
The sum of first four digits equals the units digit. How many even five- digit number have this unique property? Q.3One vertex angle of a regular octagon that has side length 4 units is joined with two other vertex angles to form a kite as shown in the figure below. Determine the area of the kite ? [pic]

Q.4ABC is a triangle in which [pic] D is a point on side BC such that AD bisects [pic] and [pic]. Find the value of [pic] in degrees.

Q.5Find a number which when divided by 10 leaves remainder 9, when divided by 8 leaves remainder 7, etc. down to where when divided by 2, it leaves remainder 1.

Q. 6.A man went out after 3pm and on returning after half an hour, found that the minute hand was as much in advance of the hour hand when he went out. Find at what time he went out ?

Q.7Find the final digit of the millionth number of
[pic]
Q.8If a,b,c are real numbers such that
[pic]
then prove that
[pic]

Q.9In the multiplication example below p stands for prime digits. Reconstruct the problem by replacing p.

Ppp
Xpp
Pppp

Pppp

pPppp

Q.10In the grid below, how many ways you can spell MATHEM?

...X CBSE Paper March 2012
Time : 3 Hrs. M.M. : 80
1. If 1 is a root of the equation ay2 + ay + 3 = 0 and y2 + y + b = 0, then ab equals :
(a) 3 (b) (c) 6 (d) 3
2. The sum of first 20 odd natural numbers is :
(a) 100 (b) 210 (c) 400 (d) 420
3. In fig., the sides AB, BC and CA of a triangle ABC, touch a circle at P, Q and R respectively. If PA = 4 cm, BP = 3 cm and
AC = 11 cm, then the length of BC (in cm) is :
(a) 11
(b) 10
(c) 14
(d) 15
4. In fig., a circle touches the side DF of EDF at H and touches ED and EF produced at K and M respectively. If EK = 9 cm, then the perimeter of EDF (in cm) is :
(a) 18
(b) 13.5
(c) 12
(d) 9
5. If the radius of the base of a right circular cylinder is halved, keeping the height the same, then the ratio of the volume of the cylinder thus obtained to the volume of original cylinder is :
(a) 1 : 2 (b) 2 : 1 (c) 1 : 4 (d) 4 : 1
6. If the area of the circle is equal to sum of the areas of two circles of diameters 10 cm and 24 cm, then the diameter of the larger circle (in cm) is :
(a) 34 (b) 26 (c) 17 (d) 14.
7. The length of shadow of a tower on the plane ground is times the height of the tower. The angle of elevation of sun is :
(a) 45 (b) 30 (c) 60 (d) 90.
8. If the coordinates of one end of a diameter of a circle are (2, 3) and the coordinates of its centre are (2, 5), then the...

...Library Home CBSE - IX (Change Class)
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CBSE - IX Maths Solved Questions
Question 1
If the sides of a triangle are 13 cm, 14 cm and 15 cm respectively then its area is ____cm2.
A) 80
B) 82
C) 84
D) 88
View Solution
Question 2
If the sides of a triangle are 150 cm, 120 cm and 200 cm, then its area is ____ cm2.
A)
B)
C)
D)
View Solution
Question 3
If two sides of a triangle are 8 cm, 11 cm and the perimeter is 32 cm, then its area is ____ cm2.
A)
B)
C)
D)
View Solution
Question 4
If two sides of triangle are 8 cm and 11 cm and its perimeter is 64 cm, then its area is ____cm2.
A)
B)
C)
D)
View Solution
Question 5
If two sides of a triangle are and the perimeter is 42 cm, then its area is ____cm2.
A)
B)
C)
D)
View Solution
Question 6
If the sides of a triangle are 40 cm, 32 cm and 24 cm, then its area is ____cm2.
A)
B)
C)
D)
View Solution
Question 7
If the sides of a triangle are 25 cm, 17 cm and 12 cm respectively, then its area is ____cm2.
A) 80
B) 82
C) 90
D) 84
View Solution
Question 8
If the sides of a triangle are 13 cm, 12 cm and 5 cm, then its area is ____cm2.
A) 80
B) 82
C) 30
D) 84...

...CLASS IX SCIENCE (THEORY) SUMMATIVE ASSESSMENT TERM II SAMPLEPAPER I Time: 3 hours General Instructions: i) ii) iii) iv) v) vi) vii) viii) ix) The question paper comprises of two sections, A and B, you are to attempt both the sections. All questions are compulsory. There is no overall choice. However, internal choice has been provided in all the three questions of five marks category. Only one option in such questions is to be attempted. All questions of section A and all questions of section B are to be attempted separately. Question numbers1 to 4 in section A are one mark question. These are to be answered in one word or one sentence. Questions numbers 5 to 13 are two marks questions, to be answered in about 30 words. Question numbers 14 to 22 are three marks questions, to be answered in about 50 words. Question numbers 23 to 25 are five marks questions, to be answered in about 70 marks. Question numbers 26 to 41 in section B are multiple choice questions are based on practical skills. Each question is a one mark question. You are to choose one most appropriate response out of the four provided to you. SECTION A 1. Give one example where kinetic energy is transferred from one object to other. 2. A battery lights a bulb. Suggest the possible energy changes involved in the lighting process. 3. What are the different states in which water is found during the water cycle? M.M.: 80
4. List any two human activities that lead to an...

...
Title of the Paper
Your Name
Student ID:
The George Washington University
Title of the Paper
Begin your paper following a few simple APA rules, pages 228-231. Always include a title page with the required information, including a running head and page numbers beginning with Arabic 1, which will be seen on all subsequent pages.
Begin your paper by indenting paragraph. Notice everything is double-spaced. No more, no less. Also, notice that my font is the same everywhere, 12 pt and Times New Roman or Arial only. No bold, no underline, etc. If you use headings within your paper you will need to follow APA for that. If you only use one level of headings, you will follow the following format.
Tips
The APA manual, 6th edition, should be purchased and followed for every paper. If you use more than one level of heading, see page 62. If you use seriations, see pages 63-64 for rules on bulleted and numbered lists. There are rules for numbers—when to spell out and when not to spell out. Punctuation rules, capitalization rules, hyphenation rules, and most everything else can be found. Do not forget to follow format for citations, pages 169-179, and reference page, pages 37, 49-51, and 180-192. On the reference page, do not forget that hanging indents should be used, double-spacing continued, and references must be listed in alphabetical order. In addition, please...

...Graduate Diploma in Systems Analysis
Page 1 of 4
SA Semester 2 Examination 2013/2014
SamplePaper 1 : Object Oriented Analysis and Design
Appendix B
Matriculation Number :
(fill in your matriculation number here)
SA Semester 2 Examination 2013/2014 (SamplePaper 1 – Appendix B)
Graduate Diploma in Systems Analysis
Page 2 of 4
This page is intentionally left blank.
SA Semester 2 Examination 2013/2014 (SamplePaper 1 – Appendix B)
Graduate Diploma in Systems Analysis
Page 3 of 4
Use Case : Update Employee Profile
EmployListUI
A list of all employees will be displayed
in the gridbox. Only one employee can
be selected at any one time.
“Details…” button will be greyed out when no
employee is selected. When clicked it will pop up an
display the modal window EmployeeDetailsUI.
“Delete” button will be greyed out when no employee is
selected. When clicked it will pop up an alert(Yes/No) window
informing the user that the highlighted employee will be
deleted from the system and check if the user (adminstrator)
wants to proceed. If “Yes” proceed to delete the highlighted
employee and remove employee from gridbox. If “no” to close
Alert window.
“Add New” button when clicked will display the modal window
EmployeeDetailsUI.
SA Semester 2 Examination 2013/2014 (SamplePaper 1 – Appendix B)
Graduate Diploma in...

...Sample Questions in Mathematics 1. If a and b are positive integers such that a b = 125, then (a − b) a + b − 4 is equal to
1. 16 2.
5 5
2. 25
3. 28
4. 30
× 53 ÷ 5 −3/ 2 = 5 a+ 2 then the value of a is equal to
1. 4 3.
2. 5
3. 6
4. 8
An electric contractor purchases a certain amount of wire. 10% of which is stolen. After using 85% of the remainder, he had 54 m of the wire left. How much wire did he purchase? 1. 300 m 2. 350 m 3. 375 m 4. 400 m
4.
×, y and z are three sums of money such that y is the simple interest on ×. z is the simple interest on y for the same time and the same rate of interest. Then we have
1. x 2 = yz 5.
2. z 2 = xy
3. y 2 = xz
4. xyz = 1
A rectangular plank 2 meters wide is placed on a square lawn parallel to its diagonal as shown in the figure. What is the area of the plank?
1. 14 sq m
2. 12 sq m
3. 7 2 sq m
4. 14 2 sq m
21
6.
Two circular wheels of same radius ‘ r ’ centimeter are their central hubs at a distance of ‘a’ centimeter from one another. The minimum length (in cm) of the fan belt which will pass around both the wheels is
1. a +
7.
π r
2
2.
(a + π r ) / 2
3. 2 a + π r
4. 2 ( a + π r)
From a rectangular sheet of cardboard measuring 8 cm x 4 cm , two largest circular discs of same radius touching each other were cut off. What is the area (in cm2) of the remaining cardboard sheet?. 1. 32 - 8 π
2. 32 - 4 π 3. 32 - π 4. 32 - 2 π...

...Midterm Essay
Tort Law
Torts and Defenses
FACTS:
Teenage Son has borrowed parent’s car one evening. First, he dropped by his girlfriend's house to pick her up but once there met with considerable resistance from her parents. Her father stood menacingly in front of the car as your son started the engine, and your son, not one to be intimidated, yelled out the window that he would run over her father if he did not get out of the way. The father, who doggedly stood his ground until the last possible moment, barely escaped injury when he finally jumped aside.
Unbeknownst to either your son or his girlfriend, her younger brother had crawled into the back of the car during the fracas with the father. Once your son pulled out of the driveway, the little boy screamed to be released from the car. Your son, who harbored some latent hostility toward the little brother, took great delight in holding him captive for several miles before letting him out of the car to walk home.
Next, the twosome headed to a remote place in the country to enjoy a little privacy. Deeply involved in professing their love for each other, neither noticed the approach of a man brandishing a gun. The man punctuated each demand to get off his land by firing a shot in the air. Thoroughly frightened, the two lovers beat a hasty retreat but, with one last act of bravado, your son took aim at a sign on the man's property and obliterated it with the car. Later, as an afterthought, your son casually...