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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. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Finding the Distance Between Two Points
Factor/Multiple
Volume of a Rectangular Solid
Average Formula -
2. A square is a rectangle with four equal sides; Area of Square = side*side
Simplifying Square Roots
Characteristics of a Square
Interior Angles of a Polygon
Function - Notation - and Evaulation
3. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Adding and Subtraction Polynomials
Factor/Multiple
Multiples of 3 and 9
Determining Absolute Value
4. 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)
Solving an Inequality
Identifying the Parts and the Whole
Area of a Sector
Even/Odd
5. 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)
Using an Equation to Find an Intercept
Length of an Arc
Raising Powers to Powers
Negative Exponent and Rational Exponent
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
Solving a Proportion
Finding the Missing Number
Multiplying Fractions
Part-to-Part Ratios and Part-to-Whole Ratios
7. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Distance Between Two Points
Reciprocal
Direct and Inverse Variation
Isosceles and Equilateral triangles
8. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
Raising Powers to Powers
Solving a Quadratic Equation
Multiples of 3 and 9
Intersection of sets
9. Combine equations in such a way that one of the variables cancel out
Similar Triangles
Intersecting Lines
Setting up a Ratio
Solving a System of Equations
10. 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
Area of a Circle
Mixed Numbers and Improper Fractions
Characteristics of a Parallelogram
Solving a Quadratic Equation
11. 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
Multiplying and Dividing Powers
Relative Primes
Counting the Possibilities
Characteristics of a Square
12. Surface Area = 2lw + 2wh + 2lh
Average Formula -
Surface Area of a Rectangular Solid
Using an Equation to Find an Intercept
Finding the Missing Number
13. 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
Average Rate
Adding and Subtracting Roots
Finding the Original Whole
Percent Increase and Decrease
14. 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.
Interior and Exterior Angles of a Triangle
Repeating Decimal
Direct and Inverse Variation
Number Categories
15. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Multiples of 3 and 9
Negative Exponent and Rational Exponent
Triangle Inequality Theorem
Intersecting Lines
16. Sum=(Average) x (Number of Terms)
Using an Equation to Find an Intercept
Using Two Points to Find the Slope
Using the Average to Find the Sum
Adding and Subtracting monomials
17. Volume of a Cylinder = pr^2h
Area of a Circle
Mixed Numbers and Improper Fractions
Volume of a Cylinder
Counting the Possibilities
18. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Repeating Decimal
Negative Exponent and Rational Exponent
Even/Odd
Using an Equation to Find the Slope
19. 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
Multiplying and Dividing Roots
Using the Average to Find the Sum
Solving a Quadratic Equation
Combined Percent Increase and Decrease
20. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Using Two Points to Find the Slope
Prime Factorization
Intersection of sets
Using an Equation to Find the Slope
21. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Using the Average to Find the Sum
Factor/Multiple
Solving a Quadratic Equation
Reducing Fractions
22. 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
Probability
Volume of a Rectangular Solid
Reducing Fractions
Repeating Decimal
23. (average of the x coordinates - average of the y coordinates)
Number Categories
Circumference of a Circle
Multiples of 2 and 4
Finding the midpoint
24. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Factor/Multiple
Tangency
Reducing Fractions
Dividing Fractions
25. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Intersecting Lines
Greatest Common Factor
Multiplying Fractions
26. 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
Union of Sets
Using an Equation to Find an Intercept
Determining Absolute Value
Counting the Possibilities
27. The largest factor that two or more numbers have in common.
Domain and Range of a Function
Triangle Inequality Theorem
Intersecting Lines
Greatest Common Factor
28. To solve a proportion - cross multiply
Using an Equation to Find the Slope
Counting the Possibilities
Solving a Proportion
Length of an Arc
29. Part = Percent x Whole
Percent Formula
Using Two Points to Find the Slope
Characteristics of a Square
Area of a Circle
30. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Adding/Subtracting Signed Numbers
Average Rate
Reducing Fractions
Comparing Fractions
31. The smallest multiple (other than zero) that two or more numbers have in common.
Interior and Exterior Angles of a Triangle
(Least) Common Multiple
Prime Factorization
Adding/Subtracting Signed Numbers
32. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Characteristics of a Rectangle
Adding and Subtracting Roots
Tangency
Multiplying Monomials
33. 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
Characteristics of a Rectangle
Evaluating an Expression
Multiplying/Dividing Signed Numbers
Tangency
34. 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
Reciprocal
Counting Consecutive Integers
Volume of a Cylinder
Adding/Subtracting Signed Numbers
35. To divide fractions - invert the second one and multiply
Circumference of a Circle
Characteristics of a Parallelogram
Setting up a Ratio
Dividing Fractions
36. For all right triangles: a^2+b^2=c^2
Pythagorean Theorem
Adding/Subtracting Signed Numbers
Factor/Multiple
Using the Average to Find the Sum
37. 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
Tangency
Adding and Subtracting Roots
The 5-12-13 Triangle
38. Subtract the smallest from the largest and add 1
Counting Consecutive Integers
Multiples of 2 and 4
Interior Angles of a Polygon
Intersection of sets
39. Multiply the exponents
Raising Powers to Powers
Volume of a Cylinder
Using an Equation to Find the Slope
(Least) Common Multiple
40. 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
Pythagorean Theorem
Isosceles and Equilateral triangles
Average of Evenly Spaced Numbers
Probability
41. To find the prime factorization of an integer just keep breaking it up into factors until all the factors are prime
Probability
The 3-4-5 Triangle
Prime Factorization
Using the Average to Find the Sum
42. 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
Interior and Exterior Angles of a Triangle
Solving a System of Equations
Number Categories
Triangle Inequality Theorem
43. To find the reciprocal of a fraction switch the numerator and the denominator
Finding the Original Whole
Counting Consecutive Integers
Isosceles and Equilateral triangles
Reciprocal
44. Add the exponents and keep the same base
Part-to-Part Ratios and Part-to-Whole Ratios
Even/Odd
Multiplying and Dividing Powers
Area of a Circle
45. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Even/Odd
Multiplying and Dividing Powers
Similar Triangles
46. Factor out the perfect squares
Negative Exponent and Rational Exponent
Finding the Original Whole
Simplifying Square Roots
Intersecting Lines
47. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Using an Equation to Find the Slope
Multiplying Monomials
Area of a Sector
Multiples of 2 and 4
48. Domain: all possible values of x for a function range: all possible outputs of a function
Even/Odd
Multiples of 3 and 9
Area of a Sector
Domain and Range of a Function
49. 1. Re-express them with common denominators 2. Convert them to decimals
Finding the Distance Between Two Points
Comparing Fractions
Pythagorean Theorem
Multiples of 2 and 4
50. 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
Average of Evenly Spaced Numbers
Determining Absolute Value
Negative Exponent and Rational Exponent
Prime Factorization