RYAN INTERNATIONAL SCHOOL MAYUR VIHAR
2013- 2014
CLASS: IXSUB.: MATHS

Q1.If x2 + x + 1 is a factor of the polynomial 3x3 +8x2 + 8x +3 +5k value of the k is
(A) 0(B) 2/5(C) 5/2(D) -1
Q2.If x51 +1 is divided by x+1, the remainder is
(A) 0(B) 1(C) 49(D) 50
Q3.If f(x) is a polynomial such that f(-1/2) = 0 , then a factor of f(x) is
(A) 2x - 1(B) 2x + 1(C) x -1(D) x +1
Q4.Using Remainder theorem find the remainder when f(x) is divided by g(x)
f(x) = x23 -x9 -1, g(x) = x+1
Q5.Factorize the following 4[pic] x2 + 5x - 2[pic].
Q6.Give one example of a monomial of degree 35 and binomial of degree 100 Q7.Which of the following is not a polynomial? Give reason supporting your answer
(i) 3[pic] + 6(ii) z + [pic]
Q8.Show that x-2 is a factor of the polynomial f(x)=2x3 -3x2 -17x + 30 and factorize f(x). Q9.Show that x+1 and 2x-3 are factors of 2x3 -9x2 + x + 12. Q10.If polynomials ax3 +3x2 -13 and 2x3 - 5x +a are divided by x+2 , the remainder in each case is same , find the value of a. Q11.If x240 + 2x151 + k is divisible by x+1, then the value of the k is

(A) 1(B) 2/5(C) 5/2(D) -1
Q12.If f(x) is a polynomial such that f(-2/3) = 0 , then a factor of f(x) is
(A) 2x - 1(B) 2x + 1(C) 3x +2(D) x +1
Q13.If x+2 is a factor of the polynomial x2 + mx + 14 value of the m is
(A) 0(B) 2/5(C) 9(D) -1
Q14.Find p(0) and p(1) for the polynomial p(t) = 2+ t + 2t2 -t3

Q15.Using Remainder theorem find the remainder when f(x) is divided by g(x)
f(x) = x3 -4x2 +2x +7, g(x) = x -1
Q16.Factorize the following 7[pic] x2 -10x - 4[pic].
Q17.Verify whether 7+3x is factor of the polynomial 3x3 + 7x. Q18.Show that x-1 is a factor of x10 – 1 and also of x11 -1. Q19.If polynomials ax3 +4x2 +3x -4 and x3 - 4x +a are divided by x-3 , the remainder in each case is same , find the value of a. Q20.Factorize the following polynomial using Factor Theorem x3 -6x2+ 11x -6. Q21.If x-3 is a factor of the...

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ANALYSIS
Physics has a lot of topics to cover. In the previous experiments, we discussed Forces, Kinematics, and Motions. In this experiment, the focus is all about Friction. Friction is the force resisting the relative motion of solid surfaces, fluid layers, and material elements sliding against each other. There are several types of friction like fluid friction which describes the friction between layers of a viscous fluid that are moving relative to each other; dry friction which resists relative lateral motion of two solid surfaces in contact and is subdivided into static friction between non-moving surfaces, and kinetic friction between moving surfaces; lubricated friction which is a case of fluid friction where a fluid separates two solid surfaces; skin friction which is a component of drag, the force resisting the motion of a fluid across the surface of a body; internal friction is the force resisting motion between the elements making up a solid material while it undergoes deformation and sliding friction.
When surfaces in contact move relative to each other, the friction between the two surfaces converts kinetic energy into heat. This property can have dramatic consequences, as illustrated by the use of friction created by rubbing pieces of wood together to start a fire. Kinetic energy is converted to heat whenever motion with friction occurs, for example when a viscous fluid is stirred. Another important consequence of many types of friction can be wear,...

...
The case between Beauty and Stylish involves concept of a valid contract, pre-contractual statements, express term and misrepresentation.
A valid contract is established between Beauty and Stylish when an offer is accepted and there is intention for both parties to create legal relations. An offer refers to the expression of willingness of the offerer to be contractually bound by an agreement if his or her offer is properly accepted. It has to be clear and certain in terms. It must also be communicated to the offeree before it is being accepted. In addition, the acceptance has to be unqualified, unconditional and made by a positive act. In the case of Beauty and Stylish, a positive act refers to the signing of the contract. All terms of the offer must be accepted without any changes and cannot be subjected to any condition, taking effect only upon fulfillment of that condition. When Beauty and Stylish enter into the agreement, they must intend to bind and bound legally to each other by their agreement. This is the intention to create legal relations between two parties. In the meanwhile, this contract must possess consideration. A contract must therefore be a two-sided affair, with each side providing or promising to provide something of value in exchange for what the other is to provide.
Every contract, whether oral or written, contain terms. The terms of a contract set out the rights and duties of the parties. Terms are the promises and undertakings given by each...

...Chapter 11
Four Decades of the Defence of
Australia: Reflections on Australian
Defence Policy over the Past 40 Years
Hugh White
The serious academic study of Australian defence policy can be said to have
begun with the publication of a book by the SDSC’s founder, Tom Millar, in
1965. The dust jacket of that book, Australia’s Defence, posed the following
question: ‘Can Australia Defend Itself?’ Millar thus placed the defence of Australia
at the centre of his (and the SDSC’s) work from the outset. Much of the SDSC’s
effort over the intervening 40 years, and I would venture to say most of what
has been of value in that effort, has been directed toward questions about the
defence of the continent. This has also been the case for most of the work by
Australian defence policymakers over the same period. In this chapter I want
to reflect on that work by exploring how the idea of the ‘defence of Australia’
has evolved over that time, and especially how its role in policy has changed,
from the mid-1960s up to and including the most recent comprehensive statement
of defence policy, Defence 2000: Our Future Defence Force.
This is no dry academic question. The key question for Australian defence
policy today is how we balance priority for the defence of Australia against
priority for the defence of wider strategic interests. The starting point for that
debate is the policies of the 1970s and 1980s, which placed major emphasis on
the defence of the continent....

...Yr 10
Mathematics
Assignment
LCR Maths
By Adonis Chigeza
Understanding and Fluency Tasks
Task A
1. y = 1.2𝑥 + 2.57
2. Interpolation: y = -3.43
Extrapolation: y = -8.23
Task B
a) The equation for the path of the ball is h = -0.1t^2 + 0.9t + 1 (h = height, t = time)
b) The vertical height of the ball after 2. seconds2.664m
c) The maximum height reached by the ball is 3.025m
d) The time of with the ball is at maximum height of 3.025 is 4.5 seconds
e) The total time in which the ball was in the air is 10 seconds
f) The two times in which the ball was 1 metre above ground is 0 and 9
Adonis Chigeza 10C
LCR Mathematics
Problem Solving and Reasoning Task
1.
Equation: y = -1.2𝒙2 + 8.4𝒙
a. The bridge is 7 metres wides so therefore it will successfully span the river with 2
metres to spare.
b. If a yacht has a 15 metre mask it will be unable to pass safely under the bridge
because the bridge only has a vertical height 14.7 metres.
Adonis Chigeza 10C
LCR Mathematics
2. Equation: v= -0.2h2 + 2.4h
a. The horizontal distance covered by the rocket when it reached its maximum
height of 7.2 metres was 6 metres.
b. The maximum height reached by the rocket was 7.2 metres.
c. At the horizontal distance of 9 metres from the launch site, there is a 5.2 metre
wall and at that vertical distance, the rocket has a vertical distance 5.4 metre.
That is not taking to account the dimensions of the rocket, however the rocket
cannot have...

...Nicolas, Fatima May D.
2014 45876
My Math Experience
When I was younger math was my favorite subject, it was something that I felt very confident
with. Unlike english, history, and literature, where I had to exert extra effort, math was the only
subject that really came naturally to me. I remember when I was a kid my dad would test me on math questions, usually about lines and figures. What kind of line intersects, what are parallel
lines? I was probably about 7 years of age, and it really impressed family friends when the
answer was correct.
In school, I always did well in math especially basic math, it was simple and it was easy.
Back then, I still have the capacity to help out other students and I was always helping out
friends with their assignments. I always got high grades on tests and I was usually done first
when it came to exams. It was really up until I started high school. Then, algebra happened, since
we didn’t have any lessons given regarding algebra (even the most basic ones) during elementary
I didn’t understand a word the teacher was saying, it was like I was reading a different language.
It was hard at first because I for one like solving problems with numbers but when it started
involving letters I knew I had to work harder because it would be different than what we have ...

...• What were the most revolutionary social and economic developments of the last quarter of the nineteenth century?
• How did different groups of Americans respond to those changes and how effective were their responses?
• What role did government play in these developments?
In the late 1900s some of the most social and economic developments were railroads, steel oil, the type writer cash register, light bulb and agriculture. The development of the railroad made it easier for immigrant to come to this country for work. This meant that there were more group of different races and cultures in America. And in some states there became an over population and city workers like police and garbage men could not keep up with the demand of so many people. Some groups mover to open land for the Homestead Act. They had hope of farming and staying on the land for at least five years as agreed but the supply and demand of agriculture did sustain so many farmer moved off the land well before their five years. The government played many different role I deescalating some issues in American history. Women and children were being worked for long hours and getting paid a little bit of nothing in return for their hard work. So the government put labor laws into place that were to protect women and children. As oil, steel and railroad industries grew so did the levels of pollution. The government again put laws that were to protect animals and the earth so that there would not...

...2013 MTAP-DepEd Program of Excellence Mathematics Grade 1 Session 1
I. Read the following numbers.
1. 89 2. 106 3. 736 4. 245 5. 899
6. 302 7. 720 8. 1200 9. 5075 10. 7001
II. What is the place value of each underlined digit? Give the value of each underlined digit. Give the answers orally.
A B C D E F
1. 601 215 520 1,364 5, 055 8, 762
2. 740 806 810 1, 099 3, 456 9, 575
3. 108 888 2, 256 9, 302 2, 890 8, 359
III. Match Column A with Column B. Write the letter of the correct answer.
A B
1. _____ 2 tens and 6 ones a. 1 218
2. _____ 2 tens and 4 ones b. 539
3. _____ 3 tens and 2 ones c. 26
4. _____ 5. hundreds 3 tens and 9 ones d. 310
5. _____ 3 hundreds 1 tens and 0 ones e. 24
6. _____ 2 hundreds 4 tens and 5 ones f. 7 227
7. _____ 1 thousand, 2 hundreds 1 tens and 8 ones g. 32
8. _____ 3 thousands, 0 hundreds 4 tens and 4 ones h. 245
9. _____ 7 thousands, 2 hundreds 2 tens and 7 ones i. 5 830
10. _____ 5 thousands, 8 hundreds 3 tens and 0 ones j. 3 044
IV. Fill in the blanks with the missing values.
1. 600 + 40 + ___ = 646 2. 800 + 50 + ___ = 857
3. 10 + 800 + ___ = 810 4. 80 + ____ + 8 = 388
5. ___ + 500 + 6 = 516 6. 200 + ____ + 6 + ____= 1 236
7. ____ + 600 + ___ + 8 = 3 608 8. 0 +...

...Faith Integration Project
To many, mathematics is a cut and dry, black and white subject. There is a right and wrong for solutions. What happens though when someone is able to step outside of these rules? There is only One that can do that, God. I may ask you, what is 1+1 and your answer, or course, is going to be 2. But what if God responded to that elementary question with the answer of 3? Would you question it? Or would you take His answer as-is because He is all knowing? I am going to explore through math whether or not we, as Christians, it is wrong to question God.
A bible verse that immediately comes to mind on the subject of the impossible is when Jesus feeds the five thousand.
13 When Jesus heard what had happened, he withdrew by boat privately to a solitary place. Hearing of this, the crowds followed him on foot from the towns. 14 When Jesus landed and saw a large crowd, he had compassion on them and healed their sick. 15 As evening approached, the disciples came to him and said, “This is a remote place, and it’s already getting late. Send the crowds away, so they can go to the villages and buy themselves some food.” 16 Jesus replied, “They do not need to go away. You give them something to eat.”17 “We have here only five loaves of bread and two fish,” they answered.18 “Bring them here to me,” he said. 19 And he directed the people to sit down on the grass. Taking the five loaves and the two fish and looking up to heaven, he gave thanks and...