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Math Project

Math Project. Done by: Ibrahim Mohammed Ali Albannai Mohammed Ibrahim Alrai 12-06 Ali Ahmed Ibrahim Ahmed Saleh A lshehhi. Task 1. 1- What is the SAT exam? The SAT is a standardized test for most college admissions in the United States.

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Math Project

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  1. Math Project Done by: Ibrahim Mohammed Ali Albannai Mohammed Ibrahim Alrai 12-06 Ali Ahmed Ibrahim Ahmed Saleh Alshehhi

  2. Task 1 1- What is the SAT exam? The SAT is a standardized test for most college admissions in the United States. The SAT is owned, published, and developed by the College Board, a nonprofit organization in the United States. It was formerly developed, published, and scored by the Educational Testing Service which still administers the exam. The test is intended to assess a student's readiness for college. 2- What is the target score for ATHS students? The target for ATHS students is above 520 in the mathematical part The scores should differ between each student according to his cluster:              AE students should get above the 520 but ES students should get al least above 600.

  3. Task 1   3- How the SAT test is scored?   1- First, they calculate the raw scores Your raw scores are calculated for each section based on the number of questions you got correct or incorrect 1- First, they calculate the 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    2- Then they "equate" them: They do a statistical analysis to make sure the test is an accurate representation of our skills. The unscored section of the test also helps them ensure the test is fair. Questions in the unscored section are not factored into our SAT score. They do this because it helps them assess questions for next year's test, and it ensures that the SAT accurately reflects our skills. Also, the unscored section helps them account for minor differences in difficulty across all the different forms of the test

  4. Task 1 3- Then they get the final score: Your raw score is then converted to a scaled score (reported on a 200-800 scale) by a statistical process called 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. - What is the minimum number of correct answers you need in each section to reach the target? The target is above 520 so we need al least 25 right questions with no mistakes so the minimum correct answer per section is 9.

  5. Task 1 • 4- Mention 10 tips to score more in SAT..? • Review and strengthen your weakest math areas. • Recognize question types. • Be flexible in your approach  • Identify and eliminate wrong answers. • Use the “Choosing Numbers” strategy. • Don't spend more than 1 min on one question. • Solve the low leveled questions before the higher levels. 1 to 4 usually  • Solve all the grid-in questions .. because they don't deduct your score if they're wrong • Use official tests to practice with before attempting the real exam. • Always show your work to avoid any mistakes.

  6. Task 2 • Arithmetic: - 20 - 2x, 20 – x, 20, 20 +x, 20 +2x • 1. What is the average (arithmetic mean) of the list of number above? A) 20 B)100 C)20 + x / 5 D)4 + x E)100 / X • 2. In a jar of red and green jellybeans, the ratio of green jelly beans to red jelly is 5: 3. If the jar contains a total of 160 jellybeans, how many of them are red? A) 30 B)53 C)60 D)100 E)160 • 3. If 2 packages contain a total of doughnuts, how many doughnuts are there in 5 packages? A)12 B)24 C)30 D)36 E)60 • 4. If 2 + a = 2 – a. what is the value of a? A)-1 B)0 C)1 D)2 E)4

  7. Task 2 • Arithmetic • 1. Answer: A Average = (20-2x) +(20- x) + 20 +(20+x) +(20+2x)5= 1005=20 • 2. Answer: C GreanRed=53 38=x160 x=3(160)8=60 • 3. Answer: C 2 packets = 12 doughnuts1 packets = 122 doughnuts= 65 packets = 5 x 6 = 30 • 4. Answer: B 2+a = 2-aa+a = 2-22a = 0a = 02 a = 0

  8. Task 2 • Algebra: - • 1. If 4x + 2 = 4, what is the value 4x – 6? A)-6 B)-4 C)0 D)8 E)4 • 2. If 5=x-2, what is the value of x-22 A)5B)7 C)5 D)9 E)25 • 3. If 2x – 3y =5, what is the value of 4x2 – 12xy + 9y2? A)5B)5 C)12 D)25 E)100 • 4. If -3x + 6 ≥18 A)x ≤ -4 B)x ≤ 6 C)x ≥ -4 D)x ≥ 6

  9. Task 2 • Algebra • 1. Answer: B 4x + 2 = 44x = 2x = 0.54x – 6 = 4(0.5) – 6= -4 • 2. Answer: C 5 = X – 2(5)2 = (X – 2)2(X – 2)2 = 5 • 3. Answer: D 2x – 3y = 5 4x2 – 12xy + 9y2= ( 2x – 3y = 52= 25 • 4. Answer: A -3x + 6 ≥ 18-3x ≥ 12x ≤ -4

  10. Task 2 • Geometry: - • 1. I n figure above, what is the value of x + y + z? A)90 B)180 C)270 D)360 • 2. If the figure above, line p is parallel to line q. what is the value of a? A)10 B)30 C)35 D)40 • 3. In figure above, what is the value of a + b + c? A)180 B)240 C)270 D)360 E)it cannot be determined from the information given. • 4. In the figure above, the perimeter of square FCDE is how much smaller than the parameter of rectangle ABDE? A)2B)3C)4D)7

  11. Task 2 • Geometry • 1. Answer: D x + y + 2 =360°Exterior angle properly • 2. Answer: B 80 + 70 + a = 180150 + a = 180a = 30 • 3. Answer: C a = 90b + c = 180a +b +c = 270 • 4. Answer: C perimeter of FCDE = 12perimeter of ABDE = 164 smalls

  12. Task 2 • Probability: - • 1.A bag contains 7 blue marbles and 14 marbles that are not blue .If one marble is drawn at random from the bag, what is the probability that the marble is blue? A) 1 / 7 B) 1 / 3 C) 1 / 2 D) 2 / 3 E) 3 / 7 • 2. A jar contains only red marbles and white marbles. If the probability of selecting a red marble is r / y, which of the following expression gives the probability of selecting a white marble in term of r and y? A) r-yyB) y-ryC) yy-1 D) RyE) yr • 3. A bag contains 4 red hammers, 10 blue hammers, and 6 yellow hammers. . If three hammers are removed from the bag at random and no hummer is returned to the bag after removal. What is the probability that all three hammers will be blue? A) 1 \ 2 B) 1 \ 8 C) 3 \ 20 D) 2 \ 19 E) 3 \ 18 • 4. A jar contains a number of jelly beans of which 58 are red, 78 are green, and the rest are blue. If the probability of choosing a blue jelly bean from this jar at random is 1 \ 5. How many blue jelly beans are in the jar? A) 34. B) 56. C) 78. D) 102 E)152

  13. Task 2 • Probability • 1. Answer: B Probability = 721=13 • 2. Answer: B white Mobley = y - ∝probability = y - ∝y • 3. Answer: D (R B Y) (4 10 6) ( 1020XB19X818= ) • 4. Answer: A (R S B) (58 78 ϰ) ( ϰ136+ ϰ=15) ( 5ϰ=136+ ϰ ) (4 ϰ = 136) ( ϰ= 1364=34 )

  14. Task 2 • Statistic • 1.If the average measure of two angles in parallelogram is y, what is the average degree measure of the other two angles? A) 180 – y B) 180 – y2 C) 360 – 2y D) 360 + y E) Y • 2. The population and areas of five countries are shown in the graphs above. If population density is defined as populationarea , which of the five countries has the highest population density? A) Ecuador B) Uruguay C) Venezuela D) Chile E) Paraguay • 3. Average of 3 numbers is 15. Two numbers are 2 and 3. Find the 3red number? A) 30 B) 40 C) 50 D) 60 E) 35 • 4. Find the average 15 + 14x + 25 – 8x, 20-6x A) 20 B) 30 C) 70 D) 3x E) 14x

  15. Task 2 • Statistic • 1. Answer: B 360-y2= 180-y2 • 2. Answer: A E = 100.3 = 33.33 U = 2.50.2 = 12.5 V = 21 =2 C = 150.8 =18.75 P = 50.4 =12.5 • 3. Answer: B 2+3+ϰ3=15 5+ϰ=45ϰ=40 • 4. Answer: A 15+14ϰ+25-8ϰ+20-6ϰ3=603=20

  16. Task 3 Given the sequence: 11, 7, 3, -1, … 1. Determine the type of sequence?     - Arithmetic 2. Find the next three terms of the sequence         -5, -9, -13 3. Write a formula for the sequence.      an=11+(n-1)(-4)       an=-4n+15 4. In your own language write about this type of sequences.     - The arithmetic sequence is a group of numbers that have a common difference    

  17. Task 3 ◊ Given the sequence: 5, 25, 125, 625, … 1. Determine the type of sequence?     - Geometric 2. Find the next three terms of the sequence.       3125, 15625, 78125 3. Write a formula for the sequence. n -1        an=(5)5 4. In your own language write about this type of sequences.      - The geometric sequence is a group of numbers that have a common ratio.

  18. Task 3 ◊ Given the sequence: 0, 1, 1, 2, 3, ..... 1. Determine the type of sequence?      - Not Arithmetic or Geometric (Neither) It is (Fibonacci sequence)  2. Find the next three terms of the sequence.       5,8,13 3. Write a formula for the sequence. Fn = Fn-1 + Fn-2  , ( F0 = 0, F1 = 1) 4. In your own language write about this type of sequences.       - This series of numbers is unique, each number is the sum of the two preceding numbers    

  19. The End

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