Maths Quiz
Pre-Qualifying Round
Class: 9 and 10 Subject: Mathematics

1. If n is an odd integer, which one of the following is an even integer? n (a) n 3 (b) (c) 2n3 (d) n n3 (e) n 4 2. If x and y are perfect squares, then which of the following is not necessarily a perfect square? (a) x2 (b) xy (c) 4x (d) x + y (e) x5 3. Let P = ( x + y ) k . If P = 10 and k = 3, what is the average of x 1 5 10 7 and y? (a) 0 (b) (c) (d) (e) 2 3 3 2 4. A square with sides of length 3 cm is intersected by a line at S and T. What is the maximum possible distance between S and T? (a) 6 (b) 2 3 (c) 3 2 (d) (e) 9 2 5 5. If w is 10 percent less than x, and y is 30 percent less than z, then wy is what percent of less than xz? (a) 10% (b) 20% (c) 37% (d) 40% (e) 100% 6. The average of five numbers is 6.9. If one of the numbers is deleted, the average of the remaining numbers is 4.4. What is the value of the number deleted? 7. John is 20 years older then Steve. In 10 years, Steve’s age will be half that of John’s. What is Steve’s age? (a)2 (b) 8 (c) 10 (d) 20 (e) 25 8. Joe takes three-fifths of a bag of candy. Bob has three fourths of Pete’s share of the remaining candy. What fraction of the total number of pieces of candy does Pete have? 9. Arrange the four squares below to create five squares of the same size. You cannot interlock or overlap the squares.

10. One- fifth of a pound of chocolate is balance perfectly by two-fifth of a block of the same chocolate. What is the weight of the whole block of chocolate?

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11.Six hours ago, it was two hours later than three hours before midnight. What time is it? (a) 5 a.m. (b) 7 a.m. (c) 5 p.m. (d) 8 p.m. (e) 10 p.m. 12.Draw a square as shown and divide the square into four equal congruent parts with three straight lines. None of the lines may cross each other within the square

r .

13.At a reception, one-third of the guests departed at a certain time. Later, two-fifths...

...02)
Use the graph below to fill in the blank with the correct number:
f(-2) = _______
Answer blank 1:
Points earned on this question: 1
Question 2 (Worth 2 points)
(03.02)<object:standard:macc.912.f-if.1.3
Find f(5) for this sequence:
f(1) = 2 and f(2) = 4, f(n) = f(1) + f(2) + f(n - 1), for n > 2.
f(5) = ______</object:standard:macc.912.f-if.1.3
Answer blank 1:
Points earned on this question: 2
Question 3 (Worth 2 points)
(03.02)<object:standard:macc.912.f-if.1.2
Laura rents a movie for a flat fee of $2.00 plus an additional $0.50 for each night she keeps the movie. Choose the cost function that represents this scenario if x equals the number of nights Laura has the movie.</object:standard:macc.912.f-if.1.2
c(x) = 2.00x + 0.50
c(x) = 2.00 + 0.50x
c(x) = 2.50x
c(x) = (2.00 + 0.50)x
Points earned on this question: 2
Question 4 (Worth 1 points)
(03.02)<object:standard:macc.912.f-if.1.2
If g(x) = x2 + 2, find g(3).</object:standard:macc.912.f-if.1.2
9
8
11
6
Points earned on this question: 1
Question 5 (Worth 1 points)
(03.02)<object:standard:macc.912.f-if.1.3
Generate the first 5 terms of this sequence:
f(1) = 0 and f(2) = 1, f(n) = f(n - 1) + f(n - 2), for n > 2.</object:standard:macc.912.f-if.1.3
0, -1, 1, 0, 2
0, 1, 1, 2, 3
0, 1, 2, 2, 3
0, 1, 1, 2, 2
Points earned on this question: 1
Question 6 (Worth 1 points)
(03.02)<object:standard:macc.912.f-if.1.2
Let f(p) be the average number of days a house...

...
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...

...STELLAR NUMBERS
In order to develop this mathematics SL portfolio, I will require the use of windows paint 2010 and the graphic calculator fx-9860G SD emulator, meaning that I will use screenshots from this software with the intention of demonstrating my work and process of stellar numbers sequences.
Triangular numbers are those which follow a triangular pattern, these numbers can be represented in a triangular grid of evenly spaced dots.
The sequence of triangular numbers is shown in the diagrams above. The first stage has 1 dot; the second stage has 3 dots (1+2); the third stage has 6 dots (1+2+3); the fourth stage has 10 dots (1+2+3+4); the fifth stage has 15 dots(1+2+3+4+5); the sixth stage has 21 dots (1+2+3+4+5+6) ; the seventh stage has 28 dots(1+2+3+4+5+6+7) and the eighth stage has36 dots(1+2+3+4+5+6+7+8). As it could be noticed, there is a sequence where in every stage the number of dots is obtained by adding up all the positive integers that correspond to the previous stages and every time one more number is added.
In terms of n, where n matches up to the stage number, it is accurate to establish an equation so that when trying to find the number of dots in stage 592, it is easy and fast by simply applying the following formulae:
Now it is possible to find the nth number by using the formula, going back to the...

...Unit 4 – Trigonomitry Quiz
True or False Questions, circle your answer.
1. cos(α)=opposite/adjacent true false
2. sin(54)=3.4/2.7 true false
for:
3. sin(α)/a=sin(β)/b is the same as a/sin(β)=b/sin(α)
true false
4. SohCahToa is not the same as primary trigonomic ratios
true false
5. The cosine law is: cos(γ)=(a²+b²-c²)/(2ab)
true false
Multiple Choice, mark your answer(s).
1. sin(20°)=45.9/c
a.) c=88.79
b.) c=134.21
c.) c=50.28
d.) c=45.9/sin(20°)
2. How do you calculate the perimiter of a triangle?
a.) P=a²+b²-c²
b.) A=bh/2
c.) P=a+b+c
c.) A=l*w
3. What would you use to find out x?
a.) the sine law
b.) sine the trigonomic ratio
c.) first the cosine law then the sine law
d.) first the sine law then tangent the trigonomic ratio
4. What is x from the triangle above?
a.) x=34.77°
b.) x= 97.5°
c.) x= 120.99°
d.) x=59.123°
5. You can definitely use SohCahToa if:
a.) you have 2 angles and an opposite angle
b.) you have 3 sides
c.) you have 2 angles and one side
d.) you have a right angled triangle
6.) sin(α)/a=sin(β)/b is:
a.) cosine law
b.) SohCahToa
c.) sine law
d.) tangent law
Give a short answer:
1. If you want to use the sine law to solve x, which sides and/or angles would you need? Explain.
I would need side c plus another one with the...

...formula of Circle in circumference?
Answer: C=2Π(radius)
2. What is a polynomial with exactly two terms?
Answer: Binomial
3. What is the formula for area of the Parallelogram?
Answer: A=(base)(height)
4. What is the reciprocal of the tangent function?
Answer: Cotangent
5. What is the numbers used to locate a point in space?
Answer: Coordinates
6. What is the point at which the axes of a coordinate system cross; the point (0,0) in the Cartesian coordinate system?
Answer: Origin
7. Any one of the four regions into which coordinates axis divide a plane.
Answer: Quadrant
8. What is the quotient of two polynomials?
Answer: Rational Expression
9. What is polynomial that cannot be factored?
Answer: Prime Polynomial
10. What is a function that can be defined by a polynomial?
Answer: Polynomial Function
Average
1. What is the y-coordinate or the second number of an ordered pair?
Answer: Ordinate
2. What is a number that can be name with exponential notation as nx?
Answer: Power
3. If an equation a = b is true, then a.c = b is true for any number c. Name this equation.
Answer: Multiplication Property of Equality
4. What are the terms whose variable factors are exactly the same?
Answer: Like terms
5. What is the measure of angles?
Answer: Radians
6. Reciprocals are two...

...z2 = c + id, where a, b, c and d are real numbers.
Square root of a complex number.
Solve for x and y by inspection. If unable to do through inspection use the identity;
And then perform simultaneous equations.
Conjugate.
If then .
Adding vectors.
Complete Parallelogram Head to Tail
Subtracting vectors.
Complete Parallelogram
Modulus-Argument form.
If equation is not in correct , (eg, ) use the unit circle – just think of when the two conditions are met.
Rules of Modulus.
The modulus of a complex number is its length.
Rules of Argument.
The argument of a complex number is the angle made with respect to the positive x-axis.
Further vector properties.
If tail is at the origin, only one letter is used. .
However, if tail is not at origin, two letters are used. .
Note: goes from A to B. The arrow ‘starts’ at A and ‘ends’ at B.
Angel between two vectors.
Rules
Separate the argument like above.
Draw vectors z1 and z2.
Look at the heads of the vectors.
Determine the direction of angle.
Note: angle is between the two heads, and the head of the angle is on the ‘head’ line.
Rotations.
To rotate a complex number, z, by anticlockwise, multiply z by cis to get zcis.
Reducing/Enlarging.
To reduce/enlarge a complex number, by x, multiply z by x to get...

...The Masque of the Red Death
Edgar Allan Poe
1. Explain the unique aspects of the rooms, including how many of them there are and what makes them different?
2. What is the effect of the ebony clocks’ chimes on the assembled guests?
3. The word mad means insane. What is ironic about the narrator’s mention that ‘There are some who would have thought Prospero mad’?
4. What details about the seventh room makes it grotesque in appearance?
5. What does the masked figure walking and its movement through the 7 rooms represent?
6. Why do you think the masked figure is allowed to walk the length of the rooms uninterrupted?
7. List the elements of Gothic Literature apparent in this story:
Read the following passage and answer the questions that follow:
From “The Black Cat” by Edgar Allan Poe, published in 1945
FOR the most wild, yet most homely narrative, which I am about to pen, I neither expect nor solicit belief. Mad indeed would I be to expect it, in a case where my very senses reject their own evidence. Yet, mad am I not -- and very surely do I not dream. But to-morrow I die, and to-day I would unburden my soul. My immediate purpose is to place before the world, plainly, succinctly, and without comment, a series of mere household events. In their consequences, these events have terrified -- have tortured -- have destroyed me. Yet I will not attempt to expound them. To me, they have presented little but Horror -- to many they will seem less terrible...

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