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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Subjects
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sat
,
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. 2pr
Circumference of a Circle
Counting the Possibilities
Comparing Fractions
Using the Average to Find the Sum
2. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Percent Increase and Decrease
Length of an Arc
Multiples of 2 and 4
Multiples of 3 and 9
3. Volume of a Cylinder = pr^2h
Multiplying and Dividing Powers
Volume of a Cylinder
Percent Increase and Decrease
Multiples of 3 and 9
4. 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 Monomials
Finding the Original Whole
Area of a Triangle
Characteristics of a Square
5. Part = Percent x Whole
Percent Formula
Adding/Subtracting Fractions
Adding and Subtracting Roots
Counting Consecutive Integers
6. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Comparing Fractions
Median and Mode
Similar Triangles
Function - Notation - and Evaulation
7. Change in y/ change in x rise/run
Using the Average to Find the Sum
Area of a Circle
Using Two Points to Find the Slope
Using an Equation to Find an Intercept
8. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Dividing Fractions
Average Formula -
Setting up a Ratio
Characteristics of a Rectangle
9. 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
Triangle Inequality Theorem
Characteristics of a Parallelogram
Factor/Multiple
Length of an Arc
10. 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
Multiplying Monomials
Comparing Fractions
Simplifying Square Roots
Triangle Inequality Theorem
11. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Finding the midpoint
Average of Evenly Spaced Numbers
Combined Percent Increase and Decrease
Rate
12. 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)
Intersection of sets
Counting the Possibilities
Area of a Sector
Factor/Multiple
13. 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
Using Two Points to Find the Slope
Finding the midpoint
Using an Equation to Find an Intercept
Surface Area of a Rectangular Solid
14. 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
Adding/Subtracting Signed Numbers
Union of Sets
Solving a Proportion
PEMDAS
15. 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
Remainders
Factor/Multiple
Interior Angles of a Polygon
Part-to-Part Ratios and Part-to-Whole Ratios
16. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Counting the Possibilities
Relative Primes
Evaluating an Expression
Percent Formula
17. Surface Area = 2lw + 2wh + 2lh
Pythagorean Theorem
Determining Absolute Value
Prime Factorization
Surface Area of a Rectangular Solid
18. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Part-to-Part Ratios and Part-to-Whole Ratios
Characteristics of a Rectangle
Using Two Points to Find the Slope
Adding/Subtracting Fractions
19. Use this example: Example: after a 5% increase - the population was 59 -346. What was the population before the increase? Work: 1.05x=59 -346 Answer: 56 -520
Finding the Original Whole
Multiples of 2 and 4
Average of Evenly Spaced Numbers
PEMDAS
20. Multiply the exponents
Similar Triangles
Raising Powers to Powers
Combined Percent Increase and Decrease
Domain and Range of a Function
21. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Percent Formula
Finding the Distance Between Two Points
Counting Consecutive Integers
Multiplying/Dividing Signed Numbers
22. Combine equations in such a way that one of the variables cancel out
Rate
Area of a Sector
Multiplying Fractions
Solving a System of Equations
23. To find the reciprocal of a fraction switch the numerator and the denominator
Reciprocal
Solving an Inequality
Finding the Distance Between Two Points
Area of a Sector
24. 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)
Length of an Arc
Circumference of a Circle
Percent Increase and Decrease
Exponential Growth
25. To multiply fractions - multiply the numerators and multiply the denominators
Mixed Numbers and Improper Fractions
Multiplying Fractions
Probability
Area of a Triangle
26. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Negative Exponent and Rational Exponent
Adding/Subtracting Fractions
Union of Sets
Prime Factorization
27. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Average Formula -
Solving a System of Equations
Multiplying and Dividing Roots
Finding the Missing Number
28. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
PEMDAS
Determining Absolute Value
Average Rate
Identifying the Parts and the Whole
29. 1. Re-express them with common denominators 2. Convert them to decimals
Intersecting Lines
Direct and Inverse Variation
Percent Formula
Comparing Fractions
30. 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
Intersecting Lines
Triangle Inequality Theorem
Using Two Points to Find the Slope
The 3-4-5 Triangle
31. 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
Adding and Subtracting monomials
Solving an Inequality
Area of a Circle
Finding the Missing Number
32. The smallest multiple (other than zero) that two or more numbers have in common.
Characteristics of a Parallelogram
Finding the Distance Between Two Points
Prime Factorization
(Least) Common Multiple
33. pr^2
Finding the midpoint
Area of a Circle
Finding the Distance Between Two Points
Surface Area of a Rectangular Solid
34. The largest factor that two or more numbers have in common.
Solving an Inequality
Greatest Common Factor
Prime Factorization
Repeating Decimal
35. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Greatest Common Factor
Average Formula -
Intersecting Lines
Finding the Distance Between Two Points
36. 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
Tangency
Isosceles and Equilateral triangles
Determining Absolute Value
Evaluating an Expression
37. Integers are whole numbers; they include negtavie whole numbers and zero - Rational numbers can be expressed as a ratio of two integers - irration numbers are real numbers that cant be expressed precisely as a fraction or decimal.
Intersection of sets
Number Categories
Relative Primes
Circumference of a Circle
38. 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
Length of an Arc
Interior and Exterior Angles of a Triangle
Similar Triangles
Relative Primes
39. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Area of a Triangle
Using an Equation to Find the Slope
Adding and Subtracting monomials
Percent Increase and Decrease
40. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Adding and Subtracting monomials
Solving a Proportion
Circumference of a Circle
Using an Equation to Find the Slope
41. 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
Using an Equation to Find an Intercept
Pythagorean Theorem
Volume of a Cylinder
Percent Increase and Decrease
42. 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
Adding/Subtracting Fractions
Negative Exponent and Rational Exponent
Area of a Sector
Median and Mode
43. 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
Using an Equation to Find the Slope
Intersection of sets
Surface Area of a Rectangular Solid
Function - Notation - and Evaulation
44. (average of the x coordinates - average of the y coordinates)
Finding the midpoint
Intersecting Lines
PEMDAS
The 5-12-13 Triangle
45. 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
Multiples of 3 and 9
Relative Primes
Average Rate
Solving a Proportion
46. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Volume of a Rectangular Solid
Determining Absolute Value
Comparing Fractions
(Least) Common Multiple
47. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Characteristics of a Square
Adding and Subtraction Polynomials
Probability
Parallel Lines and Transversals
48. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Rate
Characteristics of a Parallelogram
Tangency
Direct and Inverse Variation
49. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Multiples of 3 and 9
Adding and Subtracting Roots
Finding the Original Whole
Multiplying and Dividing Roots
50. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Greatest Common Factor
Average Formula -
Triangle Inequality Theorem
Counting Consecutive Integers