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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. Volume of a Cylinder = pr^2h
Volume of a Cylinder
Multiplying/Dividing Signed Numbers
Using the Average to Find the Sum
Interior Angles of a Polygon
2. Volume of a Rectangular Solid = lwh; Volume of a Cube= (L)^3
Solving a Quadratic Equation
Evaluating an Expression
Volume of a Rectangular Solid
The 3-4-5 Triangle
3. Surface Area = 2lw + 2wh + 2lh
Adding and Subtraction Polynomials
Repeating Decimal
Reducing Fractions
Surface Area of a Rectangular Solid
4. 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
Percent Increase and Decrease
Interior and Exterior Angles of a Triangle
Finding the Distance Between Two Points
Probability
5. 1. turn it into ax^2 + bx + c = 0 form 2. factor 3. set both factors equal to zero 4. you get 2 solutions
Simplifying Square Roots
Area of a Circle
Solving a Quadratic Equation
Adding/Subtracting Fractions
6. Change in y/ change in x rise/run
Using Two Points to Find the Slope
Pythagorean Theorem
Average Rate
Multiplying Monomials
7. The smallest multiple (other than zero) that two or more numbers have in common.
Combined Percent Increase and Decrease
(Least) Common Multiple
Rate
Even/Odd
8. To solve a proportion - cross multiply
Isosceles and Equilateral triangles
Solving a Proportion
Pythagorean Theorem
Using Two Points to Find the Slope
9. Combine equations in such a way that one of the variables cancel out
Multiplying Monomials
Finding the midpoint
Multiples of 3 and 9
Solving a System of Equations
10. 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
Repeating Decimal
Tangency
Relative Primes
Function - Notation - and Evaulation
11. Multiply the exponents
Raising Powers to Powers
Relative Primes
Evaluating an Expression
Finding the Missing Number
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
Characteristics of a Parallelogram
Finding the midpoint
Setting up a Ratio
Reciprocal
13. Sum=(Average) x (Number of Terms)
Using the Average to Find the Sum
Pythagorean Theorem
Part-to-Part Ratios and Part-to-Whole Ratios
Direct and Inverse Variation
14. 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)
Solving a Proportion
Area of a Circle
Comparing Fractions
Length of an Arc
15. To reduce a fraction to lowest terms - factor out and cancel all factors the numerator and denominator have in common
Counting Consecutive Integers
Determining Absolute Value
Pythagorean Theorem
Reducing Fractions
16. 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
Percent Increase and Decrease
Remainders
Adding and Subtracting Roots
Combined Percent Increase and Decrease
17. A square is a rectangle with four equal sides; Area of Square = side*side
Characteristics of a Square
Probability
Multiplying Monomials
Multiplying/Dividing Signed Numbers
18. Parentheses - Exponents -Multiplication and Division(reversible) - Addition and Subtraction (reversible)
Setting up a Ratio
PEMDAS
Solving a Quadratic Equation
Using Two Points to Find the Slope
19. The intersection of the sets of A and B - written AnB - is the set of elements that are in both A and B.
Intersection of sets
Pythagorean Theorem
Union of Sets
(Least) Common Multiple
20. 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
Negative Exponent and Rational Exponent
Function - Notation - and Evaulation
Relative Primes
Length of an Arc
21. To divide fractions - invert the second one and multiply
Part-to-Part Ratios and Part-to-Whole Ratios
Dividing Fractions
Adding/Subtracting Signed Numbers
Multiplying/Dividing Signed Numbers
22. 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
Using an Equation to Find the Slope
Direct and Inverse Variation
Evaluating an Expression
Interior and Exterior Angles of a Triangle
23. Factor can be divisible (factor of 12 and 8 is 4). Multiple is a multiple (multiple of 12 and 8 is 24).
Factor/Multiple
Tangency
Circumference of a Circle
Area of a Circle
24. 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
Finding the Distance Between Two Points
Median and Mode
Solving an Inequality
Similar Triangles
25. Subtract the smallest from the largest and add 1
PEMDAS
Solving a System of Equations
Percent Increase and Decrease
Counting Consecutive Integers
26. Add the exponents and keep the same base
Adding/Subtracting Signed Numbers
Multiplying and Dividing Powers
Negative Exponent and Rational Exponent
Interior and Exterior Angles of a Triangle
27. Multiply te coefficients and the variables separately Example: 2a*3a Work: (23)(aa) Answer: 6a^2
Multiplying Monomials
Combined Percent Increase and Decrease
Raising Powers to Powers
Using Two Points to Find the Slope
28. Similar triangles have the same shape: corresponding angles are equal and corresponding sides are proportional
Intersection of sets
Similar Triangles
PEMDAS
Percent Increase and Decrease
29. The median is the value that falls in the middle of the set - the mode is the value that appears most often
Median and Mode
Multiplying and Dividing Roots
Even/Odd
Finding the Distance Between Two Points
30. To find the slope of a line from an equation - put the equation into slope-intercept form (m is the slope): y=mx+b
Using an Equation to Find the Slope
Adding/Subtracting Fractions
Union of Sets
Multiplying and Dividing Powers
31. 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
Surface Area of a Rectangular Solid
Setting up a Ratio
Circumference of a Circle
32. 2pr
Counting the Possibilities
Using the Average to Find the Sum
Relative Primes
Circumference of a Circle
33. To add or subtract fraction - first find a common denominator - then add or subtract the numerators
Counting the Possibilities
Even/Odd
Adding/Subtracting Fractions
Surface Area of a Rectangular Solid
34. 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
Counting Consecutive Integers
Circumference of a Circle
Interior and Exterior Angles of a Triangle
Multiples of 3 and 9
35. 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
The 5-12-13 Triangle
Solving an Inequality
Average Rate
Repeating Decimal
36. To combine like terms - keep the variable part unchanged while adding or subtracting the coefficients - Example: 2a+3a=? work: (2+3)a answer: 5a
Adding and Subtracting monomials
Average Rate
Triangle Inequality Theorem
Using an Equation to Find the Slope
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
Rate
Percent Formula
Triangle Inequality Theorem
Multiplying and Dividing Roots
38. The whole # left over after division
Using Two Points to Find the Slope
Remainders
Using the Average to Find the Sum
Tangency
39. A rectangle is a four-sided figure with four right angles opposite sides are equal - diagonals are equal; Area of Rectangle = length x width
Median and Mode
Characteristics of a Rectangle
Number Categories
Solving a System of Equations
40. Divisible by 2 if: last digit is even - divisible by 4 if: last two digits form a multiple of 4
Adding and Subtracting monomials
Even/Odd
Multiples of 2 and 4
Adding/Subtracting Signed Numbers
41. To multiply fractions - multiply the numerators and multiply the denominators
Multiplying Fractions
Adding and Subtracting Roots
Evaluating an Expression
Triangle Inequality Theorem
42. 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)
Percent Formula
Multiplying and Dividing Roots
Greatest Common Factor
Area of a Sector
43. Domain: all possible values of x for a function range: all possible outputs of a function
Adding and Subtracting monomials
Domain and Range of a Function
(Least) Common Multiple
Number Categories
44. All acute angles are = all obtuse angles are = any obtuse angle+any acute angle= 180
Prime Factorization
Parallel Lines and Transversals
Simplifying Square Roots
Solving a System of Equations
45. 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/Dividing Signed Numbers
Parallel Lines and Transversals
Adding and Subtracting Roots
Counting Consecutive Integers
46. 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
Comparing Fractions
Multiplying and Dividing Powers
Repeating Decimal
Finding the Distance Between Two Points
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
Interior and Exterior Angles of a Triangle
Adding/Subtracting Fractions
Evaluating an Expression
Setting up a Ratio
48. Expressed A?B (' A union B ') - is the set of all members contained in either A or B or both.
Finding the Original Whole
Union of Sets
Multiples of 3 and 9
Intersecting Lines
49. 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.
Parallel Lines and Transversals
Counting the Possibilities
Number Categories
Solving a Quadratic Equation
50. 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
Raising Powers to Powers
Interior Angles of a Polygon
Remainders