SSAT UPPER LEVEL MATH Questions and Answers

Document Content and Description Below

MODE - ANSWER The most frequently occurring number Slope - ANSWER Rise / Run (y2-y1) / (x2-x1) Ex: Find the slope of the line that runs through the points (4,6) and (8,10). (10 - 6) / (8 ... - 4) = 4 / 4 = 1 The line has a slope of 1 Remember: Positive slope inclines (travels upward) from left to right and negative slope declines (travels downward) from left to right. USE YOUR ANSWERS - ANSWER Whenever you are stuck, let the answers choices help you. Often you can plug them in and see which one works! How many degrees in a right angle? - ANSWER 90 degrees How many total degrees in a triangle? - ANSWER 180 degrees How many total degrees in a parallelogram? Hint: parallelogram = 2 triangles - ANSWER 360 degrees Range - ANSWER The greatest value minus the smallest value SSAT Special Functions (weird symbol problems) - ANSWER Don't panic! They will define the function for you. All you have to do is plug in the numbers for the variables. Ex: a £ b = a + 5b What is the value of 6 £ 1 ? 6 £ 1 = 6 + (5)(1) 6 £ 1 = 6 + 5 6 £ 1 = 11 Combined average problems - ANSWER Break into two separate average equations before combining to solve. Ex: The average test score for 5 girls is 90. The average test score for 10 boys is 85. What is the average test score of all the students (boys and girls)? GIRLS 90 = x / 5 (90)(5) = x 450 = x BOYS 85 = x / 10 (85)(10) = x 850 = x Now, combine into one big average problem! Group average = (850 + 450) / 10 + 5 1300 / 15 = 86.7 Group average = 86.7 Challenging VOLUME problems - ANSWER Length x width x height Ex: How many cubes with side length 3 can fit into a cube of side length of 6? Small cube volume = (3)(3)(3) = 27 Big cube volume = (6)(6)(6) = 216 216 / 36 = 8 8 small cubes can fit into the larger cube! Parallel lines cut by transversal - ANSWER ... Perimeter of weird shapes - ANSWER Make sure you account for ALL SIDES! Surface Area - ANSWER Find the area of each individual side and add up all sides. For cubes, simply multiply side area by 6 (6 sides on cube) Integer - ANSWER Positive or negative whole number Graphs / Data Tables - ANSWER TAKE YOUR TIME. 1) Ignore answer choices 2) Look at x and y axes. What does each measure? 3) What kind of data is being shown? What conclusions can you draw? Area of a circle - ANSWER Pi r squared Circumference of a Circle - ANSWER Pi x Diameter Area of a Parallelogram - ANSWER Base x height Area of a Triangle - ANSWER 1/2 base x height Scalene triangle - ANSWER No equal sides or angles Equilateral Triangle - ANSWER All sides and angles are equal (each angle is 60 degrees no matter what the sides equal) Isosceles Triangle - ANSWER 2 equal sides and corresponding angles Median - ANSWER Middle number when numbers are ordered from least to greatest Average / mean - ANSWER Average = sum / number of things YARDS to FEET - ANSWER 3 feet per yard LCD FOR COMPARING FRACTIONS - ANSWER When adding or subtracting or comparing fractions, always be SURE that you have first established a lowest common denominator across all the fractions MISSING SIDE OF A TRIANGLE - ANSWER The length of the third side of any triangle must be between the sum and the difference of the other two sides How many degrees in a circle? - ANSWER 360 degrees How many degrees in a straight line? - ANSWER 180 degrees Angles that are across from each other (aka vertical angles) are... - ANSWER EQUAL! (aka congruent) Complementary angles total - ANSWER 90 degrees Equal angles are across from... - ANSWER EQUAL SIDES Supplementary angles total - ANSWER 180 degrees Pythagorean Theorem What is the equation? What is it used for? - ANSWER a^2 + b^2 = c^2 Factor - ANSWER Ex: factors of 10 are 1,2,5,10 Multiple - ANSWER Ex: multiples of 10 are Shortcut: The average of any consecutive integers - ANSWER Is just the middle integer! Two fractions set equal to one another - ANSWER Cross multiply DON'T MISS THE FINAL STEP OF THE QUESTION! - ANSWER They're out to trick you. Be smarter than the evil test makers and UNDERLINE what the question is asking. Similar Triangles - ANSWER Sides are in ratio (proportionate to one another). x^0 = - ANSWER 1 x^1 = - ANSWER x x^2 + x^2 = - ANSWER 2x^2 add coefficient x^2 + x^3 = - ANSWER IMPOSSIBLE!!! (x^2 + x^3) (x^2)(x^3) = - ANSWER x^5 add exponents (x^2)^3 = - ANSWER x^6 multiply exponents when raising a power to a power x^4 / x^5 = - ANSWER 1 / x subtract exponents when dividing and leave the variable wherever the bigger exponent was Percent Change - ANSWER Step 1: Find the difference in amount Step 2: Look at the original number and ask yourself "What percent of the original number is that amount equal to?" Percent Strategy - ANSWER part / whole = percent / 100 Percent Short Cut (10% rule!) - ANSWER Use the 10% shortcut to estimate whenever possible. You can find 10% of any number by moving the decimal one place to the LEFT. Absolute Value Equations - ANSWER Write out the equation TWICE. One negative answer. One positive answer. Solve for both. Inequalities - ANSWER 1) The alligator always eats the bigger number 2) MUST FLIP SIGN whenever multiplying or dividing by a NEGATIVE [Show More]

Last updated: 3 years ago

Preview 1 out of 6 pages