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Test your basic knowledge |
SAT Math: Concepts And Tricks
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Subjects
:
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. The largest factor that two or more numbers have in common.
Greatest Common Factor
Multiples of 2 and 4
Median and Mode
Finding the Distance Between Two Points
2. 1. Re-express them with common denominators 2. Convert them to decimals
Length of an Arc
Reducing Fractions
Comparing Fractions
Volume of a Rectangular Solid
3. To multiply fractions - multiply the numerators and multiply the denominators
Percent Formula
Multiplying Fractions
Characteristics of a Parallelogram
Prime Factorization
4. 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
Volume of a Cylinder
Simplifying Square Roots
Tangency
Solving an Inequality
5. Factor out the perfect squares
Triangle Inequality Theorem
Finding the Original Whole
Simplifying Square Roots
Parallel Lines and Transversals
6. 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
Percent Increase and Decrease
Negative Exponent and Rational Exponent
Similar Triangles
Finding the Missing Number
7. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Area of a Sector
Finding the Distance Between Two Points
Using an Equation to Find the Slope
Union of Sets
8. To find the reciprocal of a fraction switch the numerator and the denominator
Remainders
Even/Odd
Characteristics of a Rectangle
Reciprocal
9. 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
Exponential Growth
Interior and Exterior Angles of a Triangle
Volume of a Rectangular Solid
Adding and Subtraction Polynomials
10. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Area of a Sector
Multiplying Monomials
Finding the Original Whole
Intersection of sets
11. A square is a rectangle with four equal sides; Area of Square = side*side
Evaluating an Expression
The 3-4-5 Triangle
Triangle Inequality Theorem
Characteristics of a Square
12. 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
Greatest Common Factor
Finding the midpoint
Characteristics of a Parallelogram
Area of a Triangle
13. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
Multiplying and Dividing Powers
Combined Percent Increase and Decrease
Evaluating an Expression
Multiples of 2 and 4
14. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Average Formula -
Repeating Decimal
Solving a Quadratic Equation
Interior Angles of a Polygon
15. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Function - Notation - and Evaulation
Multiplying Monomials
Average Rate
Prime Factorization
16. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Union of Sets
Volume of a Rectangular Solid
Multiples of 2 and 4
Adding/Subtracting Signed Numbers
17. 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
Identifying the Parts and the Whole
Probability
Average of Evenly Spaced Numbers
PEMDAS
18. 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.
Similar Triangles
Number Categories
Interior and Exterior Angles of a Triangle
Rate
19. Volume of a Cylinder = pr^2h
Characteristics of a Square
Adding/Subtracting Signed Numbers
Volume of a Cylinder
Intersecting Lines
20. Multiply the exponents
Comparing Fractions
Negative Exponent and Rational Exponent
Tangency
Raising Powers to Powers
21. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Multiples of 3 and 9
Percent Formula
The 3-4-5 Triangle
Average of Evenly Spaced Numbers
22. 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)
Parallel Lines and Transversals
Intersecting Lines
Dividing Fractions
Area of a Sector
23. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
The 5-12-13 Triangle
Factor/Multiple
Part-to-Part Ratios and Part-to-Whole Ratios
Similar Triangles
24. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Similar Triangles
Average Formula -
Exponential Growth
Finding the Original Whole
25. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Adding/Subtracting Fractions
Average of Evenly Spaced Numbers
Intersecting Lines
Length of an Arc
26. To multiply or divide integers - firstly ignore the sign and compute the problem - given 2 negatives make a positive - 2 positives make a positive - and one negative - and one positive make a negative attach the correct sign
Area of a Triangle
Multiplying/Dividing Signed Numbers
Greatest Common Factor
Prime Factorization
27. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Mixed Numbers and Improper Fractions
Characteristics of a Parallelogram
Adding/Subtracting Fractions
Negative Exponent and Rational Exponent
28. The smallest multiple (other than zero) that two or more numbers have in common.
Intersecting Lines
(Least) Common Multiple
Median and Mode
The 3-4-5 Triangle
29. Average A per B: (total A)/(total B) - Example: average speed formula - total distance/ total time - Basically: Don't just average the 2 speeds
Area of a Triangle
Using an Equation to Find an Intercept
Characteristics of a Parallelogram
Average Rate
30. (average of the x coordinates - average of the y coordinates)
Intersecting Lines
Factor/Multiple
Solving a Proportion
Finding the midpoint
31. 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 an Equation to Find an Intercept
Number Categories
Average of Evenly Spaced Numbers
Reducing Fractions
32. Add the exponents and keep the same base
Pythagorean Theorem
Percent Increase and Decrease
Multiplying and Dividing Powers
Dividing Fractions
33. 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
Using Two Points to Find the Slope
Using the Average to Find the Sum
Solving a Quadratic Equation
34. 2pr
Circumference of a Circle
Volume of a Rectangular Solid
Multiples of 3 and 9
Finding the Missing Number
35. Part = Percent x Whole
Percent Formula
Adding and Subtracting monomials
Multiples of 3 and 9
Probability
36. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Direct and Inverse Variation
Finding the midpoint
Similar Triangles
Tangency
37. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Factor/Multiple
Multiplying Fractions
Multiplying and Dividing Roots
Percent Formula
38. Change in y/ change in x rise/run
Finding the Missing Number
Adding and Subtracting Roots
Using Two Points to Find the Slope
Using an Equation to Find the Slope
39. Combine equations in such a way that one of the variables cancel out
Reciprocal
Identifying the Parts and the Whole
Simplifying Square Roots
Solving a System of Equations
40. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Parallel Lines and Transversals
Volume of a Cylinder
Finding the Original Whole
Pythagorean Theorem
41. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Number Categories
Characteristics of a Rectangle
Parallel Lines and Transversals
42. To solve a proportion - cross multiply
Solving a Proportion
Solving a System of Equations
Volume of a Rectangular Solid
Length of an Arc
43. 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
Counting the Possibilities
Tangency
Triangle Inequality Theorem
Characteristics of a Rectangle
44. The whole # left over after division
Area of a Sector
Using an Equation to Find the Slope
The 3-4-5 Triangle
Remainders
45. Sum=(Average) x (Number of Terms)
Part-to-Part Ratios and Part-to-Whole Ratios
Median and Mode
Adding and Subtracting Roots
Using the Average to Find the Sum
46. 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
Repeating Decimal
Interior and Exterior Angles of a Triangle
Solving an Inequality
Rate
47. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Solving a Quadratic Equation
Counting Consecutive Integers
Simplifying Square Roots
Using an Equation to Find the Slope
48. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Average Formula -
Counting the Possibilities
Remainders
Setting up a Ratio
49. Probability= Favorable Outcomes/Total Possible Outcomes
Greatest Common Factor
Interior Angles of a Polygon
Probability
Percent Increase and Decrease
50. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Tangency
The 3-4-5 Triangle
Reducing Fractions
Adding/Subtracting Fractions