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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Subjects
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sat
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math
Instructions:
Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can
study here
.
Match each statement with the correct term.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.
This is a study tool. The 3 wrong answers for each question are randomly chosen from answers to other questions. So, you might find at times the answers obvious, but you will see it re-enforces your understanding as you take the test each time.
1. pr^2
Remainders
Area of a Circle
Solving a Quadratic Equation
Multiplying and Dividing Roots
2. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Comparing Fractions
Prime Factorization
Domain and Range of a Function
Characteristics of a Parallelogram
3. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Volume of a Cylinder
Pythagorean Theorem
Characteristics of a Parallelogram
Multiples of 2 and 4
4. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Reciprocal
Simplifying Square Roots
Factor/Multiple
Using an Equation to Find the Slope
5. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Setting up a Ratio
Mixed Numbers and Improper Fractions
Finding the Original Whole
Finding the Distance Between Two Points
6. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Evaluating an Expression
Area of a Sector
Multiplying and Dividing Roots
Volume of a Rectangular Solid
7. Sum=(Average) x (Number of Terms)
The 5-12-13 Triangle
Raising Powers to Powers
Average Formula -
Using the Average to Find the Sum
8. A decimal with a sequence of digits that repeats itself indefinitely; to find a particular digit in the repetition - use the example: if there are 3 digits that repeat - every 3rd digit is the same. If you want the 31st digit - then the 30th digit is
Adding/Subtracting Fractions
Repeating Decimal
Area of a Circle
Parallel Lines and Transversals
9. (average of the x coordinates - average of the y coordinates)
Pythagorean Theorem
Evaluating an Expression
Finding the midpoint
Identifying the Parts and the Whole
10. To predict whether the sum - difference - or product will be even or odd - just take simple numbers such as 1 and 2 and see what happens; there are rules like 'odd times even is odd' - but there's no need to memorize them
Average Formula -
Even/Odd
Mixed Numbers and Improper Fractions
Using an Equation to Find the Slope
11. An arc is a piece of the circumference. If n is the degree measure of the arc's central angle - then the formula is: Length of an Arc = 1 (n/360) (2pr)
Raising Powers to Powers
Combined Percent Increase and Decrease
Length of an Arc
Relative Primes
12. Negative exponent: put number under 1 in a fraction and work out the exponent Rational exponent: square root it- 1. make the root of the problem whatever the denominator of the exponent is 2. the exponent under your root sign is the numerator of the
Interior and Exterior Angles of a Triangle
Negative Exponent and Rational Exponent
Circumference of a Circle
Similar Triangles
13. To find the reciprocal of a fraction switch the numerator and the denominator
Multiplying and Dividing Powers
Reciprocal
Finding the midpoint
Pythagorean Theorem
14. Change in y/ change in x rise/run
Isosceles and Equilateral triangles
Multiplying Monomials
Using Two Points to Find the Slope
Determining Absolute Value
15. To solve an inequality do whatever is necessary to both sides to isolate the variable. When you multiply or divide both sides by a negative number you must reverse the sign
Solving an Inequality
Adding/Subtracting Fractions
Median and Mode
Finding the Original Whole
16. Probability= Favorable Outcomes/Total Possible Outcomes
Multiplying and Dividing Roots
Multiplying and Dividing Powers
Average of Evenly Spaced Numbers
Probability
17. Start with 100 as a starting value - Example: A price rises by 10% one year and by 20% the next. What's the combined percent increase? - Say the original price is $100. Year one: $100 + (10% of 100) = 100 + 10 = 110 Year two: 110 + (20% of 110) = 110
Domain and Range of a Function
Combined Percent Increase and Decrease
Length of an Arc
Repeating Decimal
18. Area of Triangle = 1/2 (base)(height) - the height is the perpendicular distance between the side that's chosen as the base and the opposite vertex
Multiplying and Dividing Powers
Similar Triangles
Solving a System of Equations
Area of a Triangle
19. Example: If the ratio of males to females is 1 to 2 - then what is the ratio of males to people? - work: 1/(1+2) answer: 1/3
Greatest Common Factor
Part-to-Part Ratios and Part-to-Whole Ratios
Similar Triangles
Combined Percent Increase and Decrease
20. Growth pattern in which the individuals in a population reproduce at a constant rate; j-curve graph-- logarithmic - FORMULA: y=a(1+r)^ EXPLANATION: a = initial amount before measuring growth/decay r = growth/decay rate (often a percent) x = number of
Characteristics of a Rectangle
Factor/Multiple
Exponential Growth
Characteristics of a Parallelogram
21. Surface Area = 2lw + 2wh + 2lh
Direct and Inverse Variation
Area of a Circle
Part-to-Part Ratios and Part-to-Whole Ratios
Surface Area of a Rectangular Solid
22. For all right triangles: a^2+b^2=c^2
Probability
Surface Area of a Rectangular Solid
Pythagorean Theorem
Percent Increase and Decrease
23. Integers that have no common factor other than 1 - to determine whether two integers are relative primes break them both down to their prime factorizations
Function - Notation - and Evaulation
Setting up a Ratio
Relative Primes
Tangency
24. Multiply the exponents
Adding/Subtracting Fractions
Identifying the Parts and the Whole
Raising Powers to Powers
Characteristics of a Parallelogram
25. The whole # left over after division
Function - Notation - and Evaulation
The 3-4-5 Triangle
Adding and Subtraction Polynomials
Remainders
26. The smallest multiple (other than zero) that two or more numbers have in common.
(Least) Common Multiple
Repeating Decimal
Union of Sets
Solving an Inequality
27. To convert a mixed number to an improper fraction - multiply the whole number by the denominator - then add the numerator over the same denominator - to convert an improper fraction to a mixed number - divide the denominator into the numerator to get
Multiplying/Dividing Signed Numbers
Negative Exponent and Rational Exponent
Domain and Range of a Function
Mixed Numbers and Improper Fractions
28. Combine like terms
Adding and Subtraction Polynomials
Multiplying Fractions
Evaluating an Expression
Combined Percent Increase and Decrease
29. This is the key to solving most fraction and percent word problems. Part is usually associated with the word is/are and whole is associated with the word of. Example: 'half of the boys are blonds' whole: all of the boys part: blonds
Direct and Inverse Variation
Identifying the Parts and the Whole
Volume of a Rectangular Solid
Determining Absolute Value
30. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Setting up a Ratio
Median and Mode
Adding/Subtracting Fractions
Surface Area of a Rectangular Solid
31. Add the exponents and keep the same base
Even/Odd
Multiplying and Dividing Powers
Median and Mode
PEMDAS
32. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Multiplying Monomials
Percent Increase and Decrease
Intersection of sets
Adding/Subtracting Fractions
33. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Union of Sets
Prime Factorization
Direct and Inverse Variation
Area of a Sector
34. The length of one side of a triangle must be greater than the difference and less than the sum of the lengths of the other two sides
Finding the Distance Between Two Points
Even/Odd
Triangle Inequality Theorem
Exponential Growth
35. you can add/subtract when the part under the radical is the same
Reducing Fractions
Adding and Subtracting Roots
Adding/Subtracting Signed Numbers
Multiplying and Dividing Roots
36. Combine equations in such a way that one of the variables cancel out
Adding/Subtracting Signed Numbers
Area of a Triangle
Solving a System of Equations
The 3-4-5 Triangle
37. To multiply fractions - multiply the numerators and multiply the denominators
Remainders
Solving a System of Equations
Multiplying Fractions
Multiplying/Dividing Signed Numbers
38. If a right triangle's leg-to-leg ratio is 5:12 - or if the leg-to-hypotenuse ratio is 5:13 or 12:13 - it's a 5-12-13 triangle
Pythagorean Theorem
Solving a Quadratic Equation
Factor/Multiple
The 5-12-13 Triangle
39. To increase: add decimal version of percent to one and times that # to the # you want to increase. Example: increase 40 by 25% Work: 1.25*40=? Answer: 50
Adding and Subtraction Polynomials
Percent Increase and Decrease
Direct and Inverse Variation
Using an Equation to Find an Intercept
40. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Setting up a Ratio
Average Rate
Area of a Sector
Parallel Lines and Transversals
41. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Interior Angles of a Polygon
Pythagorean Theorem
Function - Notation - and Evaulation
Mixed Numbers and Improper Fractions
42. Factor out the perfect squares
Greatest Common Factor
Simplifying Square Roots
Counting the Possibilities
Characteristics of a Parallelogram
43. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Percent Increase and Decrease
Parallel Lines and Transversals
Surface Area of a Rectangular Solid
Similar Triangles
44. Direct variation: equation: y=kx - where k is a nonzero constant trick: y changes directly as x does inverse variation: equation: xy=k trick: y doubles as x halves and vice-versa
Reciprocal
Average of Evenly Spaced Numbers
Multiplying/Dividing Signed Numbers
Direct and Inverse Variation
45. 2pr
Average of Evenly Spaced Numbers
Greatest Common Factor
Counting the Possibilities
Circumference of a Circle
46. An isosceles triangle has 2 equal sides and the angles opposite the equal sides (base angles) are also equal - an equaliteral is a triangle where all 3 sides are equal - thus the angles are equal - regardless of side length the angle is always 60 deg
Isosceles and Equilateral triangles
Greatest Common Factor
Comparing Fractions
Mixed Numbers and Improper Fractions
47. Part = Percent x Whole
Multiples of 2 and 4
The 3-4-5 Triangle
Percent Formula
Prime Factorization
48. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Intersecting Lines
Pythagorean Theorem
Average of Evenly Spaced Numbers
Number Categories
49. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Similar Triangles
Evaluating an Expression
PEMDAS
Average Formula -
50. If there are m ways one event can happen and n ways a second event can happen - then there are m × n ways for the 2 events to happen
Function - Notation - and Evaulation
Using an Equation to Find the Slope
Average Rate
Counting the Possibilities