Math Problems from NYC SHSAT held on Oct 25 and Oct 26. (1) if 3m(2-12) -2m(3+12) = 0, find the value of m. (2) The circumference of a circle is 1, find the central angle corresponding to the arc which 2/5 long. (3) (6 x 10^19) divided by (3 x 10^14) (4) m : n = 1 : 4, n : p = 4 : 5. If p =1000, find m. (5) 16 x 1/16 + (-16) + 16 = (6) 4 coins are labled as 2, 3, 4 and 5. When 2 coins are drawn without looking, what is the probability that their sum is greater than 8? (7) Two rectangles are similar. If their dimensions are 4 by 5 and y and 5, find the value fo y > 5. (8) The perimeters of an equilateral triangle and a square are equal. If one side of triangle is 5 meters long, find the length of the side of the square. (9) If one side of the square is as long as the the diameter of a circle, find the ratio of the perimeter of the square to the circumference of the circle. (10) 2 oranges cost as much as 3 pears. 1 pear costs as much as 9 onions. How many onions cost as much as 4 oranges? (11) on a number line, y = -1 and z = 2. If the ratio of the segments (from x to y) to (from y to z) is 1 : 3, find the location of x. (12) 4x^2 + 4y^2 = 4, find the value of x^2 + y^2. (13) In a lighthouse, the light beam rotates once every minute to scan the area of land and ocean. If the land covers the angle of 150 degrees, how many seconds will it take to cover the area of ocean. (14) In the sequence, 1^1, 2^4, 3^9, 4^16, .......9^n, find the value of n. (15) The average of x, 1, 2, 3 is 4, find the average of x, 1 and 2. (16) In right triangle ABC, angle B = 90 degrees. D is a point on AC, DE is perpendicular to AB. if angle CDE = 120 degrees, find angle A. (17) Two cars are 300 miles apart and moving toward each other with 36 mph and 24 mph respectively. If they starts at 1 pm, what time will they meet each other? (18) A square is inscribed in a circle. if the diagonal of the square is 36, find the circumference of the circle. ** 9th graders need to know the definition of Sine, Cosine and Tangent of an angle. (good luck) Good Math References for Science High Test Preparation: Barron's ISEE/SSAT, Barron's SSHSAT, Kaplan's SSHSAT, Kaplan's SAT Math WorkBook, Kaplan's SAT, LSAT(for reading and logical reasoning) Math Subject: (1) Decimals, Fractions, Percentages (2) Ratios and Proportions (4) Rate and Speed problems (3) Signed Numbers (4) Basic Algebra with 1 variable (5) 1 equation 1 unknown problems (6) Lines: Parallel, Intersecting, Perpendicular Lines (7) Rectangles (8)Triangles (9) Circles (10) Sequence (11) Probability English Subject: Sparknotes Literature Study Guides , Newsweek, Time magazine, New York Times ...and 101 Great books recommended by Collegeboard.
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