SUBJECTS
|
BROWSE
|
CAREER CENTER
|
POPULAR
|
JOIN
|
LOGIN
Business Skills
|
Soft Skills
|
Basic Literacy
|
Certifications
About
|
Help
|
Privacy
|
Terms
|
Email
Search
Test your basic knowledge |
GRE Math: Facts
Start Test
Study First
Subjects
:
gre
,
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. How do you calculate a weighted average?
A = s^2 or A =d^2/2 where d is the diagonal
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.
360°
If the line is not perpendicular - all four acute angles have the same measure - all four obtuse have the same measure - and the sum of any one acute and one obtuse angle is 180°.
2. How you convert a fraction or a decimal to a percent?
(n - 2)(180°)
[(x1 + x2)/2] -[(y1 + y2)/2]
Divide - then multiply by 100.
Their sum is 90°.
3. If you were given the graph of y = f(x) - what does f(a) represent?
The sum of the length of any two sides of the triangle is greater than the length of the third side i.e. x + y > z - x + z > y - & y + z > x.
Opposite sides and angles are congruent - the sum of any two consecutive angles is180° - and the diagonals bisect.
If the line is not perpendicular - all four acute angles have the same measure - all four obtuse have the same measure - and the sum of any one acute and one obtuse angle is 180°.
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.
4. What is the formula for the volume of a rectangular solid?
V = lwh
A multiple of an integer - n - is any integer that is a product of n and another integer i.e. 12 is a multiple of 3 and 3 is a divisor of 12.
The ratio of corresponding sides of similar triangles.
The product of their slopes is -1 (negative reciprocal).
5. What is a proportion?
360°
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.
An equation that states that two ratios are equivalent. 4/6 = 10/15
States that for any numbers a - b - and c: a (b + c) = ab + ac and a(b - c) = ab - ac.
6. What formula is used for an average?
Cannot is 0 - must is 1 - all others are in between.
The two pairs of opposite angles formed are equal to each other.
Avg = sum of n numbers/n
A fraction whose denominator is 100 i.e. 17% = 17/100
7. What is an exterior angle of a triangle?
Write the percent as a decimal - and multiply.
Shifted down 2 units.
Formed by extending a side of the triangle. Equal to the sum of the two opposite interior angles.
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.
8. Properties of zero 5
A = s^2 or A =d^2/2 where d is the diagonal
If x is positive - the square root of x (vx) is the integer - n - multiplied by itself to result in x.
Write the percent over 100 and reduce.
For any number b: b = -b if and only if b = 0.
9. What is a negative exponent?
For any number n: x^-n means 1/x^n.
No matter how many angles there are - the sum around the point is 360°.
They are both the same. A divisor or factor of an integer leaves no remainder.
The product of their slopes is -1 (negative reciprocal).
10. What does it mean if y is inversely proportional to x?
Then the product xy is a constant.
A = 2(lw + lh + hw)
States that for any numbers a - b - and c: a (b + c) = ab + ac and a(b - c) = ab - ac.
If x is positive - the square root of x (vx) is the integer - n - multiplied by itself to result in x.
11. What is an exponent?
(x + y)(x - y) = x^2 - y^2
A^m*b^m = (ab)^m
How steep the line is. Horizontal line = 0 - vertical has no slope.
In the expression x^b - x is the base and b is the exponent.
12. How do you find the length of an arc of a circle?
Arc = (x°/360)(2pr) where x is the central angle.
At point they intersect - they are perpendicular. Creating quadrilaterals will show unknown angles.
Shifted up 2 units.
The ratio of corresponding sides of similar triangles.
13. What is the area of a square?
A = s^2 or A =d^2/2 where d is the diagonal
Cannot is 0 - must is 1 - all others are in between.
Shifted left 2 units.
Shifted up 2 units.
14. How do you find the area of a sector of a circle?
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
Same as a parallelogram and a rectangle - as well as all four sides are the same length - the diagonals are perpendicular - and each diagonal divides the square into a 45-45-90 isosceles right triangle.
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.
Area = (x°/360)(pr^2) where x is the central angle.
15. What is the formula for the surface area of a cube?
For any number n: x^-n means 1/x^n.
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
A = 6(l^2)
The ratio of corresponding sides of similar triangles.
16. What is the distance formula?
Set x = 0 - and solve.
How steep the line is. Horizontal line = 0 - vertical has no slope.
Pythagorean theorem - or d = v[(x2 - x1)^2 + (y2 - y1)^2]
0 is the only number that is neither positive nor negative.
17. When a pair of parallel lines is intersected by a third line - what is true about the eight angles that are formed?
If the line is not perpendicular - all four acute angles have the same measure - all four obtuse have the same measure - and the sum of any one acute and one obtuse angle is 180°.
The sum of the length of any two sides of the triangle is greater than the length of the third side i.e. x + y > z - x + z > y - & y + z > x.
An integer greater than one that is not prime.
Arc = (x°/360)(2pr) where x is the central angle.
18. Law of exponents 3
[(x1 + x2)/2] -[(y1 + y2)/2]
(b^m)^n = b^mn
A = bh
A = 2(lw + lh + hw)
19. What is a fractional exponent?
D = 2r
Then the quotient y/x is a constant.
Set y = 0 - and solve.
If x is positive and n is a positive integer: x^1/n means nvx i.e 9^1/2 = v9.
20. What is an exterior angle of a polygon?
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.
V = lwh
Equal slopes.
An angle formed by extending the side of the polygon.
21. Important binomial 3
B^m/b^n = b^m-n
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
Set x = 0 - and solve.
Their sum is 180°.
22. What is the ratio of similitude?
The ratio of corresponding sides of similar triangles.
Pythagorean theorem - or d = v[(x2 - x1)^2 + (y2 - y1)^2]
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
Set y = 0 - and solve.
23. What is an integer?
For any number n: x^-n means 1/x^n.
Arc = (x°/360)(2pr) where x is the central angle.
M = (y2 - y1)/(x2 - x1)
All positive and negative whole numbers - and zero.
24. What is the sum of the measures of the four angles in a quadrilateral?
Area = (x°/360)(pr^2) where x is the central angle.
A multiple of an integer - n - is any integer that is a product of n and another integer i.e. 12 is a multiple of 3 and 3 is a divisor of 12.
Shifted right 2 units.
360°
25. What important property do similar triangles have?
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.
It is isosceles - right triangle - with a ratio of sides x:x:xv2.
Then the quotient y/x is a constant.
Corresponding sides of similar triangles are in proportion.
26. What is true about the measures of the three angles in a triangle?
[(x1 + x2)/2] -[(y1 + y2)/2]
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
Their sum is 180°.
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
27. How do you find the y-intercept of a graph?
(n - 2)(180°)
No matter how many angles there are - the sum around the point is 360°.
For any right triangle - a^2 + b^2 = c^2.
Set x = 0 - and solve.
28. In a circle of radius r - what is the formula for the diameter?
Is a right triangle with a ratio of sides x:xv3:2x.
D = 2r
[(x1 + x2)/2] -[(y1 + y2)/2]
It is isosceles - right triangle - with a ratio of sides x:x:xv2.
29. Properties of zero 1
For any integer n: 1^n = 1.
0 is the only number that is neither positive nor negative.
No matter how many angles there are - the sum around the point is 360°.
Set y = 0 - and solve.
30. What is the relationship between the graph of f(x) the graph of y = f(x - 2)?
The median is the middle number (for odd total) or average of two middle numbers (for even total). The mode is the number that appears most often.
For any number n: x^-n means 1/x^n.
C = p2r
Shifted right 2 units.
31. What is a composite number?
Avg = sum of n numbers/n
An integer greater than one that is not prime.
If the line is not perpendicular - all four acute angles have the same measure - all four obtuse have the same measure - and the sum of any one acute and one obtuse angle is 180°.
360°
32. What is the relationship between a radius of a circle and a line that is tangent to the circle?
The sum of the length of any two sides of the triangle is greater than the length of the third side i.e. x + y > z - x + z > y - & y + z > x.
At point they intersect - they are perpendicular. Creating quadrilaterals will show unknown angles.
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3
A = lw
33. How do you find the x-intercept of a graph?
Set y = 0 - and solve.
In the expression x^b - x is the base and b is the exponent.
A = bh
The ratio of corresponding sides of similar triangles.
34. What is the relationship between the lengths of the sides of a triangle and the measures of the angles of the triangle?
Shifted left 2 units.
A fraction whose denominator is 100 i.e. 17% = 17/100
The longest side is opposite the largest angle - the shortest side is opposite the smallest angle - and same length sides are opposite same measure angles.
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
35. How do you find the slope of a line?
The sum of the length of any two sides of the triangle is greater than the length of the third side i.e. x + y > z - x + z > y - & y + z > x.
Vertical line is x = a - horizontal is y = b - any other is y = mx + b.
M = (y2 - y1)/(x2 - x1)
A multiple of an integer - n - is any integer that is a product of n and another integer i.e. 12 is a multiple of 3 and 3 is a divisor of 12.
36. What is the triangle inequality?
Shifted up 2 units.
The sum of the length of any two sides of the triangle is greater than the length of the third side i.e. x + y > z - x + z > y - & y + z > x.
Set y = 0 - and solve.
M = (y2 - y1)/(x2 - x1)
37. What is special formula for the area of an equilateral triangle?
Is a right triangle with a ratio of sides x:xv3:2x.
Same shape triangles with equal measures of each angle. Any two equilateral - 45-45-90 - and 30-60-90 triangles are similar.
A = [(s^2*v3)/4]
A = 2(lw + lh + hw)
38. In a circle of radius r - what is the formula for the circumference?
Then the product xy is a constant.
C = p2r
The longest side is opposite the largest angle - the shortest side is opposite the smallest angle - and same length sides are opposite same measure angles.
360°
39. What is p?
(Circumference/diameter) of a circle - or approximately 3.14.
All positive and negative whole numbers - and zero.
For any number b: b = -b if and only if b = 0.
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
40. What is the formula for the area of a parallelogram?
A = (1/2)bh.
A = bh
180°. If two or more angles form a straight angle - their sum is 180°.
Equal slopes.
41. Properties of one 2
For any integer n: 1^n = 1.
180°. If two or more angles form a straight angle - their sum is 180°.
A^m*b^m = (ab)^m
States that for any numbers a - b - and c: a (b + c) = ab + ac and a(b - c) = ab - ac.
42. If the product of two or more numbers is 0 - what do you know about the numbers?
360°
360°
(Circumference/diameter) of a circle - or approximately 3.14.
At least one of the factors is 0.
43. What is the volume of a cube?
An integer divisible by only one and itself. 1 is not - 2 is the only even - and 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - and 29 are the 10 smallest.
Divide - then multiply by 100.
V = l^3
Their sum is 180°.
44. What is true about the areas of similar triangles?
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.
They are both the same. A divisor or factor of an integer leaves no remainder.
(b^m)^n = b^mn
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
45. What are the properties of a parallelogram?
The longest side is opposite the largest angle - the shortest side is opposite the smallest angle - and same length sides are opposite same measure angles.
Opposite sides and angles are congruent - the sum of any two consecutive angles is180° - and the diagonals bisect.
V = l^3
The ratio of corresponding sides of similar triangles.
46. What is the midpoint formula?
The product of their slopes is -1 (negative reciprocal).
Vertical line is x = a - horizontal is y = b - any other is y = mx + b.
[(x1 + x2)/2] -[(y1 + y2)/2]
Same shape triangles with equal measures of each angle. Any two equilateral - 45-45-90 - and 30-60-90 triangles are similar.
47. Law of exponents 5
In the expression x^b - x is the base and b is the exponent.
A = [(s^2*v3)/4]
V = pr^2h
A^m/b^m = (a/b)^m
48. What is the relationship between the graph of f(x) the graph of y = f(x) - 2?
An integer divisible by only one and itself. 1 is not - 2 is the only even - and 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - and 29 are the 10 smallest.
180°. If two or more angles form a straight angle - their sum is 180°.
Shifted down 2 units.
(Circumference/diameter) of a circle - or approximately 3.14.
49. What is the Pythagorean theorem?
A^m*b^m = (ab)^m
For any right triangle - a^2 + b^2 = c^2.
An integer greater than one that is not prime.
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3
50. What are the properties of a square?
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
Same as a parallelogram and a rectangle - as well as all four sides are the same length - the diagonals are perpendicular - and each diagonal divides the square into a 45-45-90 isosceles right triangle.
A fraction whose denominator is 100 i.e. 17% = 17/100
V = lwh
Can you answer 50 questions in 15 minutes?
Let me suggest you:
Browse all subjects
Browse all tests
Most popular tests
Major Subjects
Tests & Exams
AP
CLEP
DSST
GRE
SAT
GMAT
Certifications
CISSP go to https://www.isc2.org/
PMP
ITIL
RHCE
MCTS
More...
IT Skills
Android Programming
Data Modeling
Objective C Programming
Basic Python Programming
Adobe Illustrator
More...
Business Skills
Advertising Techniques
Business Accounting Basics
Business Strategy
Human Resource Management
Marketing Basics
More...
Soft Skills
Body Language
People Skills
Public Speaking
Persuasion
Job Hunting And Resumes
More...
Vocabulary
GRE Vocab
SAT Vocab
TOEFL Essential Vocab
Basic English Words For All
Global Words You Should Know
Business English
More...
Languages
AP German Vocab
AP Latin Vocab
SAT Subject Test: French
Italian Survival
Norwegian Survival
More...
Engineering
Audio Engineering
Computer Science Engineering
Aerospace Engineering
Chemical Engineering
Structural Engineering
More...
Health Sciences
Basic Nursing Skills
Health Science Language Fundamentals
Veterinary Technology Medical Language
Cardiology
Clinical Surgery
More...
English
Grammar Fundamentals
Literary And Rhetorical Vocab
Elements Of Style Vocab
Introduction To English Major
Complete Advanced Sentences
Literature
Homonyms
More...
Math
Algebra Formulas
Basic Arithmetic: Measurements
Metric Conversions
Geometric Properties
Important Math Facts
Number Sense Vocab
Business Math
More...
Other Major Subjects
Science
Economics
History
Law
Performing-arts
Cooking
Logic & Reasoning
Trivia
Browse all subjects
Browse all tests
Most popular tests