MATHMATICS: SAT AND SEQUENCES
Term1, Math core project.
In this project, we were asked to discuss more about what SAT’s are and how they are important to
be tested on it. Furthermore, we had to prepare a SAT worksheet with specific instructions and also
we had to answer loads of questions about sequences, their types and how to find certain elements.
To be more specific, there are 3 main tasks that we will thoroughly discuss and answer throughout
the presentation
ABOUT THE PROJECT
About the project
Completeness
tasks
20%
Presentation
Integration
Technology
70%
4
3
2
1
of
Tasks
are
totally
completed and correct.
(100%)
Tasks are partially
completed, OR Partially
wrong.(75%)
Tasks are partially
completed,
AND
Partially wrong (50%).
Tasks are Attempted
(25% or less)
and
of
Students used one
mean of technology.
The tool used helped
the student and was
useful to support his
project. Moreover, the
student was able to
explain
the
work
he/she
submitted
confidently
and
fluently;
she was able to answer
Student used a mean of
technology but it was
not that supportive to
the topic. In addition,
student was able to
explain the work she
submitted confidently
and fluently and he/she
reflected
an
understanding of her
works. The student was
able to answer most of
the questions.
Student was able to
explain
the
work
he/she
submitted.
Student reflected a
shallow understanding
of her work. She was
able to answer some of
the questions.
Student
use
of
technology
was
primitive and way
below the level of
other IAT students.
Student was unable to
explain
the
work
he/she
submitted.
Student reflected no
understanding
of
his/her work; he/she
was unable to answer
the questions.
Student
had
an
outstanding addition in
some aspects of her
project,
Student
had
an
outstanding addition in
very few aspects of her
project
Student
had
an
outstanding addition in
no aspects of her
project.
all the questions.
Creativity&
enrichment
10%
Student
had
an
outstanding addition in
all aspects of her
project.
This rubric is out of 100, percentage orientation.
RUBRIC
Total 
The score
SAT stands for Scholastic Assessment Test. It is a
worldwide standard college admission test that lets
colleges show what you know and how well you can
apply that understanding.
SAT scores are only one of many aspects that colleges
and universities ponder when making admission
decisions.
1- Calculate the students’ raw scores: “Your raw scores
are calculated for each section based on the number of
questions you got correct or incorrect, or that you
omitted”.
What is the target score for ATHS students ?
The target SAT scores for the Engineering science
cluster is known to be 600. However, the target for the
remaining three clusters (Health, ICT and Applied
Engineering) is 500.
How the sat test is scored?
The SAT tests are scored in 3 main steps :
So adjacent side 
2- Equate the scores: a statistical analysis is made to
insure the test is an accurate representation of the
students’ skill. The unscored section of the test also
helps us ensure the test is fair. “Every SAT includes a
25-minute section, which doesn't count toward your final
score. It may be a critical reading, mathematics, or
multiple-choice writing section.” The reason for this is
because it helps assess questions for next year's test, it
also ensures that the SAT exam reflects your skills
accurately.
3- The final score: The raw score is by then converted
to a score within the scare (200-800 scale) by a
statistical process known as equating. “Equating
ensures that the different forms of the test or the level of
ability of the students with whom you are tested do not
affect your score.” By equating, you can make it
possible to compare between test takers who take
different versions of the test scores.
TASK 1
What is the Sat exam
1- Use the process of Elimination: try to find out all the answers that
you think are incorrect.
2- Leave any question blank where you can't identify at least one
wrong choice, except for the math grid-ins. This might come as a
disappointed but somewhere along the test you will find a question
that might seem impossible to solve. If you cannot find even one
question you cannot cross out as wrong then it is best if you leave
the question and keep going.
3- Write in the test booklet. You can use the test booklet for your
own advantage, write formulas, solve your math equations, and
sketch things, cross off wrong answers. No one is going to read
what you wrote.
4- Don't second-guess yourself: Studies show that the first guess
you choose is usually the right one, so it is best if you keep your
answer.
5- Know your special triangles. There will be frequent mathematical
questions where the key realization has to do with special triangles.
6- If you're stuck on a math problem, start writing. Start writing
anything that comes to mind, try simplifying or factoring
expressions, draw a picture or label the diagrams. Many times
something will hit and you’ll remember or will be able to relate to a
certain way that will give away the answer.
7- Use official tests to practice with. Use unmarked official SAT
exams to practice on constantly and time you self to notice any
improvements.
8- Don't Go In Order: there is no real obligation to the SAT test
where you have to go in order. Answer as many easy questions as
9- Don't Read The Directions: if you’ve solved similar SAT
question sheets than you must be familiar with the directions,
its better if you just start right away to save sometime.
10- Weakness into Strength: try to find out the types of
questions that are hard for you to solve and practice on them
frequently.
What is the minimum number of correct answers you
need in each section to reach the target?
“You are scored on a scale of 200 to 800 in each of the
sections of SAT Reasoning Test and SAT Subject-based
tests. Subject test sub scores also range between 20 and
80.”
For math 1 SAT subject you get 80 Multiple answer
questions and by that you get a raw score and from there
they convert it into a real scale score between 200 and 800
So this means if we want above 500 we need to answer
more than 50 questions CORRECTLY. Another way is to
probably answer the whole answer sheet mostly right, if the it
had error ¼ of the correct mark will be deducted.
An average SAT score is the middle value of scores. So,
generally a score of about 500 in each section is considered
an average SAT score. This will also give an average
percentile to you. The percentile for the average score will be
about 50. This will imply that you have scored more than
about 50% of students who appeared in the test, while the
rest 50% of students have done better than you.
TASK 1
Mention 10 tips to score more in SAT
1- If the median of a set of five consecutive integers is equal
to 13, then what is the value of the largest of these five
integers ?(statistic )
(A) 11
(B) 13
(c) 15
(D) 17
(E) 19
2- if ϰ+4ϰ-3ϰ+1=3 , then what is the value of ϰ?
(Algebra )
(A) 1
(B) 2
(c) 3
(D) 4
(E) 5
3- If the probability of selecting a red marble is 13 and
the probability of selecting a blue marble is 23 , what is
the ratio of blue marbles to red marbles? (Arithmetic )
(A) 1:2
(B) 3:2
(c) 2:1
(D) 2:3
(E) 3:1
4- if ϰ+4ϰ-3ϰ+1=3 , then what is the value of ϰ?
(Algebra )
(A) 6
(B) 15
(c) 21
(D) 42
(E) 81
TASK 2: SAT MATH WORKSHEET
SAT math worksheet
(A) One
(B) Two
(c) Three
(D) Four
(E) Five
6- if xγz=z and the value of x is 0 , which of the
following must be true?(Algebra )
(A) Y= 0
(B) Z= 0
(c) Xy = 1
(D) z= 1
(E) y= 1
7- In quadrilateral PQRS above , what is the value of a2+
b2? (geometry )
(A) 8
(B) 10
(c) 11
(D) 12
(E) 13
TASK 2
5- How many of the prime factors of 30 are greater than 2 ?
(Arithmetic )
11- In the xy-coordinate plane above, line l pass through the
points (0,0) and (1,2), imagine that a line called m contains
the point (0,0) and perpendicular to l, what is the equation of
m?
(A) 7/2
(B) 5
(c) 7
(D) 15/2
(E) 15
10- If the average (arithmetic mean) of r and s is 20, and the
average of x, y, and z is 30, what is the average of r, s, x, y,
and z? (Statistics)
(A) 23
(B) 24
(c) 25
(D) 26
(E) 27
12- What is the value of (-3)3+(-4)2? (Arithmetic)
(A) -25
(B) -11
(c) 0
(D) 7
(E) 11
TASK 2
9- In the figure below, if the area of triangle CAF is equal to
the area of rectangle CDFE, what is the length of segment
AD?(geometry)
15- A= {-5,-3,-2,0,1}
B= {-1, 2,4,6}
If a is a number randomly selected from set A, and b is a number randomly
selected from set B, what is the probability that ab<0?( probability)
14-A bag contains only red , blue, and green tickets. The
probability of picking a red ticket is 0.25 and the probability of
picking a blue ticket is 0.40. What is the least number of
tickets that could be in the bag?( probability)
16- What is the median number of cups of lemonade sold
per hour ?(statistics)
(A) 5
(B) 10
(c) 20
(D) 30
(E) 40
(A) 10
(B) 8
(c) 12
(D) 15
(E) 20
TASK 2
13- A jar contains four blue marbles and two green marbles.
Two marbles are removed randomly. What is the probability
that two marbles with the same color will be
selected?(probability)
19- If X=4, then (x4-2)(4+x)=
(A) From 1996 to 1998
(B) From 1996 to 1999
(c) From 1997 to 1999
(D) From 1998to 1999
(E) From 1998 to 2000
(A) 16
(B) 64
(C) 86
(D) 98
(E) 112
18- which of the following expressions describes the
indicated values on the number line above ?(X doesn’t equal
to 0)(Algebra)
20- In the triangle below, if the measure of angle B is 52
degrees, then what is the value of y?
(A) 20
(B) 22
(C) 24
(D) 28
(E) 30
TASK 2
17- The bar graph shows the number of employees at
company X for each of the years from 1996 through 2000.
Over which of the following periods was the average rate of
increase in the number of employees at company X
greatest?(Analysis)
Question 4
Question 8
Question 11
Answer: C
Answer: E
Answer: D
Answer: A
These five numbers are:11-12-13-14-15
They are consecutive numbers
with the median 13 and the
largest is 15.
Question 2
Answer: A
These five numbers are:11-12-13-14-15
They are consecutive numbers
with the median 13 and the
largest is 15.
Question 3
Answer: C
M=7+2=9
M<0 so m= -9
N=6+3=9
N<0 so n=-9
Mn= (-9)(-9)= 81
Question 5
Question 9
Answer: B
Answer: C
30
10
3
2
5
0.5(b)(h)=LW
0.5(15)(h)=7x15
0.5(h)=7
h=7/0.5=14
AD=14-7=7
Question 6
Question 10
Question 12
Answer: B
Answer: D
Answer: B
Any number times 0 equals to
0, so if x =0 then:(0)(y)(z)=z
0=z
Question 7
Answer: E
Line QS is the hypotenuse of
triangles QPS and QRS .
If the hypotenuse of QRS is
32+22=13, then the hypotenuse
of QPS is a2+b2=13.
Put it as it is in the calculator
TASK 2: ANSWER KEY
Question 1
Question 15
Question 18
Answer: D
Answer: A
Answer: D
if a negative number multiplied by a positive
number the answer will be negative number.
We have 3 –ve numbers in set A if they
multiplied with 3 +ve numbers of set B we
will get 9 –ve numbers.
The 0 is a restriction .
The 1 in set A is positive kit will only be a –ve
number if it multiplied by -1 from set B.
So we have 10 numbers less than 0 from 20
number.
10/20=1/2
The number line shows positive and
negative values.
The values of x must be greater than or
equal to 1, or less than or equal to -1.
If you look at the choices, they show
only expressions of 1.
Numbers those are greater than 1 are
positive so we must take the absolute
value of x.
Question 14
Question 16
Question 19
Answer: C
Answer: E
if we add the probability of red and
blue tickets then the answer will be
the probability of red and blue tickets
of the lest total number of tickets .
1/4+2/5=13/20, the probability of red
and blue tickets in the bag is13 of 20 ,
which mean that the total number of
tickets could be 20.
Arrange the numbers of cups sold.
10, 15,20,20,27
20 is the number in the middle.
Answer: D
Direct substitution.
Question 17
Question 20
Answer: D
Answer: A
You can notice that there was a wild
increase from 1998 to 1999.
2x+2=52
2x=54
X= 27
Angle A= 4(27)= 108
A0+B0+Y0= 180
180-(108+52)
180-160=20
TASK 2: ANSWER KEY
Question 13
1. Determine the type of sequence?
Arithmetic
Given the sequence: 5, 25, 125, 625,
……
1. Determine the type of sequence?
Geometric
2. Find the next three terms of the
sequence.
11, 7, 3, -1, -5 , -9 , -13
2. Find the next three terms of the
sequence.
5, 25, 125, 625, 3125, 15625, 78125
3. Write a formula for the sequence.
An= a1+(n-1)d
An= 11+(n-1)-4
An= 11-4n+4)
An= 15-4n
4. In your own language write about this
type of sequences.
This type of sequences is applied upon
the operations addition and subtraction.
3. Write a formula for the sequence.
An= a1+(n-1)d
An= 5+(n-1)5
An= 5+5n-5
An= 5n
4. In your own language write about this
type of sequences.
This type of sequences is applied upon
the operations division and multiplication.
TASK 3
Given the sequence: 11, 7, 3, -1, ……
1. Determine the type of sequence?
Fibonacci
2. Find the next three terms of the sequence.
0, 1, 1, 2, 3, 5, 8, 13, …
3. Write a formula for the sequence.
The Rule is xn = xn-1 + xn-2
where:
xn is term number "n"
xn-1 is the previous term (n-1)
xn-2 is the term before that (n-2)
4. In your own language write about this type of sequences.
This type of sequence the numbers in which each number equals the sum of the
two previous numbers
TASK 3
Given the sequence: 0, 1, 1, 2, 3, ……
Http://Andreasviklund.Com/, R. 2013. Ten Tips for Improving Your SAT Score. [online] Available at: http://www.satcoach.com/tips.html [Accessed: 14 Oct 2013].
Roell, K. 2013. Top Ten SAT Test Tips. [online] Available at:
http://testprep.about.com/od/tipsfortesting/a/SAT_TestTips.htm [Accessed: 14 Oct 2013].
Sat.collegeboard.org. 2013. About the Tests - What is the SAT. [online] Available at: http://sat.collegeboard.org/abouttests/sat [Accessed: 14 Oct 2013].
Sat.collegeboard.org. 2013. How the SAT is Scored - Overview of SAT Scoring. [online] Available at:
http://sat.collegeboard.org/scores/how-sat-is-scored [Accessed: 14 Oct 2013].
Task s distributed as
Iman Alhosani  Ppt & Task 1
Asala Fadel  Made the blog, helped AlAnood in task 2
AlAnood Mohammed  Task 2 and the answer key
Noura Mohammed  task 3 and corrected by Asala
REFERENCES
references for task 1