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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. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Interior and Exterior Angles of a Triangle
Multiplying Monomials
Area of a Sector
Similar Triangles
2. Sum=(Average) x (Number of Terms)
Interior Angles of a Polygon
Using the Average to Find the Sum
Parallel Lines and Transversals
Characteristics of a Parallelogram
3. To find the reciprocal of a fraction switch the numerator and the denominator
Reciprocal
Percent Increase and Decrease
Multiples of 3 and 9
(Least) Common Multiple
4. 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
The 5-12-13 Triangle
Isosceles and Equilateral triangles
Counting the Possibilities
Finding the Distance Between Two Points
5. Surface Area = 2lw + 2wh + 2lh
Surface Area of a Rectangular Solid
Evaluating an Expression
Reciprocal
Average of Evenly Spaced Numbers
6. 2pr
Circumference of a Circle
Direct and Inverse Variation
(Least) Common Multiple
Characteristics of a Rectangle
7. 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
Multiplying and Dividing Roots
Exponential Growth
Area of a Triangle
8. To add a positive and negative integer first ignore the signs and find the positive difference between the two integers - attatch the sign of the original with higher absolute value - to subtract negative integers simply change it into an addition pr
Solving a Quadratic Equation
Adding/Subtracting Signed Numbers
Intersection of sets
Prime Factorization
9. 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
Raising Powers to Powers
Area of a Triangle
Adding and Subtracting monomials
Repeating Decimal
10. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Domain and Range of a Function
Negative Exponent and Rational Exponent
Median and Mode
PEMDAS
11. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Multiplying and Dividing Roots
Characteristics of a Rectangle
Intersecting Lines
Even/Odd
12. 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
Area of a Sector
Area of a Triangle
Finding the Missing Number
Adding and Subtracting Roots
13. Domain: all possible values of x for a function range: all possible outputs of a function
Average Rate
Repeating Decimal
Determining Absolute Value
Domain and Range of a Function
14. The smallest multiple (other than zero) that two or more numbers have in common.
The 3-4-5 Triangle
Adding and Subtracting Roots
Interior Angles of a Polygon
(Least) Common Multiple
15. 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
Function - Notation - and Evaulation
Adding and Subtracting Roots
Direct and Inverse Variation
Characteristics of a Parallelogram
16. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Adding/Subtracting Signed Numbers
(Least) Common Multiple
Counting Consecutive Integers
17. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Adding/Subtracting Signed Numbers
Surface Area of a Rectangular Solid
Reducing Fractions
Intersection of sets
18. Combine like terms
Solving a Proportion
Adding and Subtraction Polynomials
The 3-4-5 Triangle
Remainders
19. To solve a proportion - cross multiply
PEMDAS
Characteristics of a Rectangle
Solving a Proportion
Multiples of 3 and 9
20. Notation: f(x) read: 'f of x' evaluation: if you want to evaluate the function for f(4) - replace x with 4 everywhere in the equation
Factor/Multiple
Setting up a Ratio
Mixed Numbers and Improper Fractions
Function - Notation - and Evaulation
21. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
Volume of a Rectangular Solid
Remainders
Area of a Sector
22. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Median and Mode
Identifying the Parts and the Whole
Negative Exponent and Rational Exponent
Remainders
23. Probability= Favorable Outcomes/Total Possible Outcomes
Area of a Sector
Repeating Decimal
Setting up a Ratio
Probability
24. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Multiples of 2 and 4
The 3-4-5 Triangle
Triangle Inequality Theorem
Average Formula -
25. To divide fractions - invert the second one and multiply
Adding/Subtracting Signed Numbers
Percent Increase and Decrease
Dividing Fractions
Negative Exponent and Rational Exponent
26. Use the sum - Example: if the average of 4 #s is 7 - and the #s are 3 - 5 - 8 - and ____ - what is the fourth #? Work: sum= 4*7 =28 3+5+8=16 28-16=? Answer: 12
Finding the Missing Number
Combined Percent Increase and Decrease
Even/Odd
Adding and Subtraction Polynomials
27. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Percent Increase and Decrease
(Least) Common Multiple
Pythagorean Theorem
28. pr^2
Adding/Subtracting Signed Numbers
Area of a Circle
Prime Factorization
Length of an Arc
29. A sector is a piece of the area of a circle. If n is the degree measure of the sector's central angle then the formula is: Area of a Sector = (n/360) (pr^2)
Relative Primes
Using an Equation to Find the Slope
Area of a Sector
Solving a Proportion
30. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Reciprocal
Adding/Subtracting Fractions
Remainders
Average of Evenly Spaced Numbers
31. The whole # left over after division
Using the Average to Find the Sum
Isosceles and Equilateral triangles
Remainders
Finding the midpoint
32. 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
Negative Exponent and Rational Exponent
Average Rate
Multiples of 3 and 9
Adding and Subtracting Roots
33. 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
Pythagorean Theorem
Multiplying Monomials
Even/Odd
Triangle Inequality Theorem
34. Part = Percent x Whole
Interior Angles of a Polygon
Multiples of 3 and 9
Using an Equation to Find the Slope
Percent Formula
35. 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
Parallel Lines and Transversals
Solving an Inequality
Using an Equation to Find an Intercept
Adding and Subtraction Polynomials
36. The 3 angles of any triangle add up to 180 degrees - an exterior angles of a triangle is equal to the sum of the remote interior angles - the 3 exterior angles add up to 360 degrees
Even/Odd
Interior and Exterior Angles of a Triangle
Prime Factorization
Isosceles and Equilateral triangles
37. 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
The 5-12-13 Triangle
Adding and Subtraction Polynomials
Part-to-Part Ratios and Part-to-Whole Ratios
Relative Primes
38. If a right triangle's leg-to-leg ratio is 3:4 - or if the leg-to-hypotenuse ratio is 3:5 or 4:5 - it's a 3-4-5 triangle and you don't need to use the Pythagorean theorem to find the third side
Length of an Arc
Remainders
The 3-4-5 Triangle
Finding the Missing Number
39. A parallelogram has two pairs of parallel sides - opposite sides are equal - opposite angles are equal - consecutive angles add up to 180 degrees; Area of Parallelogram = base x height
Comparing Fractions
Characteristics of a Parallelogram
Volume of a Rectangular Solid
Interior Angles of a Polygon
40. 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/Subtracting Fractions
Adding and Subtracting monomials
Reducing Fractions
Percent Increase and Decrease
41. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Using an Equation to Find the Slope
Union of Sets
Multiplying and Dividing Powers
Multiples of 2 and 4
42. To find the y-intercept: put the equation into slope-intercept form (b is the y-intercept): y=mx+b or plug x=0 and solve for y - To find the x-intercept: plug y=0 and solve for x
Adding and Subtraction Polynomials
Multiplying Monomials
Mixed Numbers and Improper Fractions
Using an Equation to Find an Intercept
43. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Mixed Numbers and Improper Fractions
Adding and Subtracting monomials
Multiples of 3 and 9
Multiples of 2 and 4
44. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Fractions
Solving a Proportion
Determining Absolute Value
Volume of a Cylinder
45. Change in y/ change in x rise/run
Volume of a Cylinder
Repeating Decimal
Median and Mode
Using Two Points to Find the Slope
46. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Parallel Lines and Transversals
Adding/Subtracting Signed Numbers
Setting up a Ratio
Simplifying Square Roots
47. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Using an Equation to Find an Intercept
Part-to-Part Ratios and Part-to-Whole Ratios
Average Formula -
Counting Consecutive Integers
48. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Part-to-Part Ratios and Part-to-Whole Ratios
Using an Equation to Find the Slope
Union of Sets
Prime Factorization
49. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Triangle Inequality Theorem
Negative Exponent and Rational Exponent
Adding and Subtracting monomials
Rate
50. 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
Solving an Inequality
Direct and Inverse Variation
Triangle Inequality Theorem
Solving a Proportion