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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. A square is a rectangle with four equal sides; Area of Square = side*side
Length of an Arc
Characteristics of a Square
Finding the Missing Number
Part-to-Part Ratios and Part-to-Whole Ratios
2. To multiply fractions - multiply the numerators and multiply the denominators
Number Categories
Volume of a Rectangular Solid
Using an Equation to Find an Intercept
Multiplying Fractions
3. Add the exponents and keep the same base
Multiplying and Dividing Powers
Pythagorean Theorem
Characteristics of a Rectangle
Characteristics of a Square
4. To divide fractions - invert the second one and multiply
Determining Absolute Value
PEMDAS
Similar Triangles
Dividing Fractions
5. 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
Similar Triangles
Multiplying and Dividing Powers
Solving an Inequality
6. Combine like terms
Repeating Decimal
Adding and Subtraction Polynomials
Adding and Subtracting Roots
Using an Equation to Find an Intercept
7. When two lines intersect - adjacent angles (angles next to each other) are supplementary (=180) and vertical angles are equal
Intersecting Lines
Characteristics of a Square
Probability
Volume of a Cylinder
8. 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
Solving a Proportion
Multiples of 2 and 4
Area of a Sector
Interior and Exterior Angles of a Triangle
9. 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)
Finding the Distance Between Two Points
Length of an Arc
Volume of a Rectangular Solid
Characteristics of a Parallelogram
10. 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
Adding/Subtracting Fractions
Pythagorean Theorem
Counting the Possibilities
Using an Equation to Find the Slope
11. 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
Direct and Inverse Variation
Mixed Numbers and Improper Fractions
Comparing Fractions
Reducing Fractions
12. Add up numbers and divide by the number of numbers - Average=(sum of terms)/(# of terms)
Intersecting Lines
Finding the Original Whole
Average Formula -
Multiplying and Dividing Powers
13. 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
Pythagorean Theorem
Adding and Subtracting Roots
Triangle Inequality Theorem
Identifying the Parts and the Whole
14. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Number Categories
Function - Notation - and Evaulation
Combined Percent Increase and Decrease
Adding and Subtracting monomials
15. When a line is tangent to a circle the radius of the circles perpendicular to the line at the point of contact
Tangency
Percent Increase and Decrease
Solving a System of Equations
Surface Area of a Rectangular Solid
16. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Reducing Fractions
The 5-12-13 Triangle
Characteristics of a Rectangle
Factor/Multiple
17. The absolute value of a number is the distance of the number from zero - since absolute value is distance it is always positive
Counting the Possibilities
Determining Absolute Value
Number Categories
The 3-4-5 Triangle
18. you can add/subtract when the part under the radical is the same
Counting the Possibilities
Reducing Fractions
Characteristics of a Square
Adding and Subtracting Roots
19. 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
Comparing Fractions
Isosceles and Equilateral triangles
Adding and Subtraction Polynomials
Multiplying/Dividing Signed Numbers
20. Multiply the exponents
Raising Powers to Powers
Adding and Subtraction Polynomials
Comparing Fractions
Length of an Arc
21. 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
Parallel Lines and Transversals
Finding the Missing Number
Triangle Inequality Theorem
Raising Powers to Powers
22. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Even/Odd
Average Formula -
Area of a Triangle
PEMDAS
23. Domain: all possible values of x for a function range: all possible outputs of a function
Adding and Subtraction Polynomials
Domain and Range of a Function
Using the Average to Find the Sum
PEMDAS
24. 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
Intersecting Lines
Repeating Decimal
Combined Percent Increase and Decrease
Area of a Sector
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.
Solving a Quadratic Equation
Using Two Points to Find the Slope
Evaluating an Expression
Number Categories
26. 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
Reducing Fractions
Adding and Subtracting Roots
Intersecting Lines
Part-to-Part Ratios and Part-to-Whole Ratios
27. For all right triangles: a^2+b^2=c^2
Pythagorean Theorem
Volume of a Cylinder
Multiplying/Dividing Signed Numbers
Area of a Triangle
28. 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
Intersecting Lines
Multiplying Monomials
Solving an Inequality
Number Categories
29. 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
Part-to-Part Ratios and Part-to-Whole Ratios
Even/Odd
Solving a Quadratic Equation
30. To find the reciprocal of a fraction switch the numerator and the denominator
PEMDAS
Raising Powers to Powers
Reciprocal
Mixed Numbers and Improper Fractions
31. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Direct and Inverse Variation
Using an Equation to Find an Intercept
Similar Triangles
Relative Primes
32. The smallest multiple (other than zero) that two or more numbers have in common.
Simplifying Square Roots
Factor/Multiple
Finding the Original Whole
(Least) Common Multiple
33. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Characteristics of a Parallelogram
Area of a Circle
Greatest Common Factor
Solving a Quadratic Equation
34. The largest factor that two or more numbers have in common.
Greatest Common Factor
Multiplying Fractions
Volume of a Rectangular Solid
Median and Mode
35. Divisible by 3 if: sum of it's digits is divisible by 3 - divisible by 9 if: sum of digits is divisible by 9
The 3-4-5 Triangle
Multiples of 3 and 9
Adding and Subtraction Polynomials
Function - Notation - and Evaulation
36. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Volume of a Rectangular Solid
Length of an Arc
Tangency
Percent Increase and Decrease
37. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Finding the Missing Number
Multiples of 2 and 4
Dividing Fractions
Union of Sets
38. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Reciprocal
Using an Equation to Find the Slope
Part-to-Part Ratios and Part-to-Whole Ratios
Tangency
39. The sum of the measures of the interior angles of a polygon = (n - 2) × 180 - where n is the number of sides
Adding/Subtracting Fractions
Reducing Fractions
Interior Angles of a Polygon
Probability
40. 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
Mixed Numbers and Improper Fractions
Evaluating an Expression
Characteristics of a Parallelogram
Identifying the Parts and the Whole
41. 2pr
Using an Equation to Find the Slope
Circumference of a Circle
Percent Formula
Volume of a Rectangular Solid
42. Use special triangles - pythagorean theorem - or distance formula: v(x2-x1)²+(y2-y1)²
Number Categories
Setting up a Ratio
Finding the Distance Between Two Points
Direct and Inverse Variation
43. 1. Re-express them with common denominators 2. Convert them to decimals
Comparing Fractions
Multiplying/Dividing Signed Numbers
Intersecting Lines
Domain and Range of a Function
44. 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
Dividing Fractions
Repeating Decimal
Multiplying and Dividing Powers
Triangle Inequality Theorem
45. 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
Length of an Arc
Percent Increase and Decrease
Relative Primes
Counting Consecutive Integers
46. 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
Direct and Inverse Variation
Domain and Range of a Function
Determining Absolute Value
Multiplying/Dividing Signed Numbers
47. # associated with of on top - # associated with to on bottom Example: ratio of 20 oranges to 12 apples? Work: 20/12 Answer: 5/3
Setting up a Ratio
Mixed Numbers and Improper Fractions
Reciprocal
Evaluating an Expression
48. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Counting Consecutive Integers
Evaluating an Expression
Direct and Inverse Variation
Union of Sets
49. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Volume of a Rectangular Solid
Function - Notation - and Evaulation
Even/Odd
Parallel Lines and Transversals
50. Probability= Favorable Outcomes/Total Possible Outcomes
Comparing Fractions
Volume of a Rectangular Solid
Probability
Solving a Proportion