SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
SAT Math: Concepts And Tricks
Start Test
Study First
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. Surface Area = 2lw + 2wh + 2lh
Surface Area of a Rectangular Solid
Finding the Original Whole
Number Categories
Interior and Exterior Angles of a Triangle
2. 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
(Least) Common Multiple
Multiples of 2 and 4
Finding the Original Whole
Characteristics of a Parallelogram
3. Multiply the exponents
Using an Equation to Find an Intercept
Average Formula -
Raising Powers to Powers
Percent Formula
4. 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
Multiples of 2 and 4
(Least) Common Multiple
Part-to-Part Ratios and Part-to-Whole Ratios
Triangle Inequality Theorem
5. 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
PEMDAS
Intersecting Lines
Average of Evenly Spaced Numbers
Relative Primes
6. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Number Categories
Multiples of 2 and 4
Part-to-Part Ratios and Part-to-Whole Ratios
Determining Absolute Value
7. To find the reciprocal of a fraction switch the numerator and the denominator
Percent Formula
Characteristics of a Rectangle
Isosceles and Equilateral triangles
Reciprocal
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
Multiples of 2 and 4
Evaluating an Expression
Prime Factorization
Setting up a Ratio
9. The whole # left over after division
Greatest Common Factor
Finding the Original Whole
Remainders
Number Categories
10. Subtract the smallest from the largest and add 1
PEMDAS
Adding and Subtraction Polynomials
Counting Consecutive Integers
Volume of a Cylinder
11. 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
Area of a Circle
Multiples of 3 and 9
The 5-12-13 Triangle
Adding/Subtracting Fractions
12. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Volume of a Rectangular Solid
Counting Consecutive Integers
Reciprocal
Adding and Subtraction Polynomials
13. 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
Similar Triangles
(Least) Common Multiple
Counting the Possibilities
Greatest Common Factor
14. 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
Mixed Numbers and Improper Fractions
Area of a Circle
Multiplying/Dividing Signed Numbers
The 3-4-5 Triangle
15. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Union of Sets
Finding the Missing Number
Interior Angles of a Polygon
Using an Equation to Find the Slope
16. 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
Average Rate
Prime Factorization
The 3-4-5 Triangle
Intersecting Lines
17. (average of the x coordinates - average of the y coordinates)
Finding the midpoint
Using an Equation to Find an Intercept
Parallel Lines and Transversals
Average of Evenly Spaced Numbers
18. 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
Combined Percent Increase and Decrease
Remainders
Tangency
Factor/Multiple
19. 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
Similar Triangles
Mixed Numbers and Improper Fractions
Dividing Fractions
Finding the Missing Number
20. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Using an Equation to Find the Slope
Area of a Circle
Intersecting Lines
Finding the Missing Number
21. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Percent Increase and Decrease
Solving an Inequality
Comparing Fractions
Adding and Subtracting monomials
22. 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
Tangency
Rate
Relative Primes
Area of a Triangle
23. 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
Setting up a Ratio
Exponential Growth
Finding the midpoint
Multiplying/Dividing Signed Numbers
24. Multiplying: multiply the #s inside the root - but KEEP the ROOT sign - dividing: divide the #s inside the root - but KEEP the ROOT sign
Multiplying and Dividing Roots
Percent Formula
Percent Increase and Decrease
Surface Area of a Rectangular Solid
25. 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.
Number Categories
Average of Evenly Spaced Numbers
Characteristics of a Square
Adding/Subtracting Signed Numbers
26. 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)
Finding the Missing Number
Volume of a Cylinder
Area of a Sector
Adding and Subtracting Roots
27. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Pythagorean Theorem
Adding/Subtracting Signed Numbers
Prime Factorization
Multiplying Fractions
28. A square is a rectangle with four equal sides; Area of Square = side*side
Using an Equation to Find an Intercept
Counting the Possibilities
Characteristics of a Square
Dividing Fractions
29. Volume of a Cylinder = pr^2h
Characteristics of a Parallelogram
Volume of a Cylinder
Counting Consecutive Integers
Identifying the Parts and the Whole
30. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Multiplying/Dividing Signed Numbers
Using Two Points to Find the Slope
Counting the Possibilities
Intersection of sets
31. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Dividing Fractions
Parallel Lines and Transversals
Adding/Subtracting Fractions
Multiples of 3 and 9
32. pr^2
Intersection of sets
Area of a Circle
Circumference of a Circle
Intersecting Lines
33. Combine like terms
Using Two Points to Find the Slope
Reciprocal
Using an Equation to Find the Slope
Adding and Subtraction Polynomials
34. To divide fractions - invert the second one and multiply
Remainders
Dividing Fractions
Number Categories
Adding/Subtracting Fractions
35. 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
Multiplying/Dividing Signed Numbers
Even/Odd
Function - Notation - and Evaulation
Negative Exponent and Rational Exponent
36. 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
Intersection of sets
Reducing Fractions
Relative Primes
Function - Notation - and Evaulation
37. Probability= Favorable Outcomes/Total Possible Outcomes
Remainders
Area of a Circle
Probability
Evaluating an Expression
38. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Exponential Growth
Multiples of 3 and 9
(Least) Common Multiple
Similar Triangles
39. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Tangency
Multiplying and Dividing Powers
Comparing Fractions
Domain and Range of a Function
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
Average Rate
Reciprocal
Median and Mode
Direct and Inverse Variation
41. 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
Characteristics of a Parallelogram
Adding/Subtracting Fractions
Dividing Fractions
Multiplying Fractions
42. Add the exponents and keep the same base
Domain and Range of a Function
Solving a Proportion
Average Formula -
Multiplying and Dividing Powers
43. The smallest multiple (other than zero) that two or more numbers have in common.
The 5-12-13 Triangle
Similar Triangles
(Least) Common Multiple
Exponential Growth
44. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Probability
Multiplying and Dividing Roots
Factor/Multiple
Solving a Proportion
45. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Repeating Decimal
Finding the midpoint
Rate
Multiples of 3 and 9
46. To multiply fractions - multiply the numerators and multiply the denominators
Length of an Arc
Intersection of sets
Using an Equation to Find an Intercept
Multiplying Fractions
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
Intersecting Lines
Part-to-Part Ratios and Part-to-Whole Ratios
Using an Equation to Find the Slope
Multiplying and Dividing Roots
48. Average the smallest and largest numbers Example: What is the average of integers 13 through 77? Work: (13+77)/2 Answer: 45
Average of Evenly Spaced Numbers
Using Two Points to Find the Slope
Evaluating an Expression
Using an Equation to Find the Slope
49. 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
Number Categories
Adding and Subtracting Roots
Similar Triangles
Finding the Missing Number
50. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Finding the Distance Between Two Points
Identifying the Parts and the Whole
Median and Mode
Combined Percent Increase and Decrease