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Test your basic knowledge |
SAT Math: Concepts And Tricks
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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. 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
Area of a Triangle
Even/Odd
Relative Primes
2. (average of the x coordinates - average of the y coordinates)
Circumference of a Circle
Area of a Sector
Using an Equation to Find an Intercept
Finding the midpoint
3. 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
Median and Mode
Volume of a Rectangular Solid
Triangle Inequality Theorem
Counting Consecutive Integers
4. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Negative Exponent and Rational Exponent
Determining Absolute Value
Characteristics of a Parallelogram
Tangency
5. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Repeating Decimal
Setting up a Ratio
Tangency
Finding the Original Whole
6. To evaluate an algebraic expression - plug in the given values for the unknowns and calculate according to PEMDAS
The 5-12-13 Triangle
Circumference of a Circle
Evaluating an Expression
Multiples of 3 and 9
7. 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
Area of a Sector
Percent Increase and Decrease
Adding and Subtraction Polynomials
Combined Percent Increase and Decrease
8. To solve a proportion - cross multiply
Multiples of 2 and 4
Solving a Proportion
Prime Factorization
Percent Formula
9. The smallest multiple (other than zero) that two or more numbers have in common.
Relative Primes
(Least) Common Multiple
Using the Average to Find the Sum
Finding the midpoint
10. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Prime Factorization
Characteristics of a Rectangle
Remainders
Negative Exponent and Rational Exponent
11. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Simplifying Square Roots
Parallel Lines and Transversals
Comparing Fractions
Adding and Subtracting monomials
12. 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
Multiplying/Dividing Signed Numbers
Volume of a Rectangular Solid
Finding the Original Whole
Finding the Missing Number
13. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Solving a Proportion
Intersection of sets
Mixed Numbers and Improper Fractions
PEMDAS
14. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Multiples of 3 and 9
Volume of a Rectangular Solid
Part-to-Part Ratios and Part-to-Whole Ratios
Exponential Growth
15. 2pr
Reducing Fractions
Direct and Inverse Variation
Percent Increase and Decrease
Circumference of a Circle
16. Use units to keep things straight (make sure you use 1 unit for each thing) Example: use just inches in your cross multiplication - not inches and feet
Rate
Volume of a Cylinder
Characteristics of a Square
Volume of a Rectangular Solid
17. 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
Prime Factorization
Finding the Distance Between Two Points
18. A square is a rectangle with four equal sides; Area of Square = side*side
Direct and Inverse Variation
Isosceles and Equilateral triangles
Characteristics of a Square
Exponential Growth
19. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Surface Area of a Rectangular Solid
Adding/Subtracting Fractions
Median and Mode
Identifying the Parts and the Whole
20. 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
Greatest Common Factor
Area of a Triangle
Characteristics of a Rectangle
Raising Powers to Powers
21. 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
Interior Angles of a Polygon
Union of Sets
Greatest Common Factor
The 5-12-13 Triangle
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)
Area of a Sector
Finding the Distance Between Two Points
Surface Area of a Rectangular Solid
Multiples of 2 and 4
23. The whole # left over after division
Factor/Multiple
Using Two Points to Find the Slope
Setting up a Ratio
Remainders
24. 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
Volume of a Cylinder
Identifying the Parts and the Whole
Simplifying Square Roots
Average Rate
25. Combine equations in such a way that one of the variables cancel out
Adding/Subtracting Fractions
Probability
Solving a System of Equations
Average of Evenly Spaced Numbers
26. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Relative Primes
Union of Sets
Surface Area of a Rectangular Solid
Volume of a Cylinder
27. Domain: all possible values of x for a function range: all possible outputs of a function
(Least) Common Multiple
Pythagorean Theorem
Mixed Numbers and Improper Fractions
Domain and Range of a Function
28. To find the reciprocal of a fraction switch the numerator and the denominator
Solving an Inequality
Reciprocal
Percent Increase and Decrease
Negative Exponent and Rational Exponent
29. Factor out the perfect squares
Probability
PEMDAS
Simplifying Square Roots
Pythagorean Theorem
30. The largest factor that two or more numbers have in common.
Interior Angles of a Polygon
Greatest Common Factor
Area of a Sector
Evaluating an Expression
31. 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
Repeating Decimal
Direct and Inverse Variation
Characteristics of a Parallelogram
Multiplying and Dividing Powers
32. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Repeating Decimal
Combined Percent Increase and Decrease
Interior Angles of a Polygon
Intersection of sets
33. Part = Percent x Whole
Greatest Common Factor
Solving a Quadratic Equation
Percent Formula
Characteristics of a Square
34. 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
Triangle Inequality Theorem
Determining Absolute Value
Isosceles and Equilateral triangles
Adding/Subtracting Signed Numbers
35. 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
Median and Mode
Multiples of 3 and 9
Negative Exponent and Rational Exponent
The 3-4-5 Triangle
36. 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
Evaluating an Expression
Triangle Inequality Theorem
Finding the Original Whole
Even/Odd
37. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Identifying the Parts and the Whole
Length of an Arc
Similar Triangles
Solving an Inequality
38. Multiply the exponents
Union of Sets
Raising Powers to Powers
Volume of a Rectangular Solid
Solving a Quadratic Equation
39. 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
Multiplying Fractions
Pythagorean Theorem
Adding and Subtracting monomials
Finding the Original Whole
40. you can add/subtract when the part under the radical is the same
Adding and Subtracting Roots
Rate
Even/Odd
Average of Evenly Spaced Numbers
41. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Average Formula -
Multiples of 2 and 4
Area of a Sector
Multiplying Monomials
42. 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
Multiplying Fractions
Multiplying/Dividing Signed Numbers
Union of Sets
Multiplying and Dividing Roots
43. Surface Area = 2lw + 2wh + 2lh
Simplifying Square Roots
Median and Mode
Surface Area of a Rectangular Solid
Reciprocal
44. Subtract the smallest from the largest and add 1
Tangency
Interior Angles of a Polygon
Union of Sets
Counting Consecutive Integers
45. To divide fractions - invert the second one and multiply
Dividing Fractions
Intersecting Lines
Counting Consecutive Integers
Multiplying Fractions
46. Volume of a Cylinder = pr^2h
Volume of a Cylinder
(Least) Common Multiple
Surface Area of a Rectangular Solid
Solving an Inequality
47. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Finding the Missing Number
Finding the midpoint
Even/Odd
Finding the Distance Between Two Points
48. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Union of Sets
Rate
Solving a Quadratic Equation
Multiplying and Dividing Powers
49. Probability= Favorable Outcomes/Total Possible Outcomes
The 5-12-13 Triangle
Area of a Triangle
Using an Equation to Find an Intercept
Probability
50. 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
Counting Consecutive Integers
Adding and Subtraction Polynomials
Parallel Lines and Transversals