Test your basic knowledge |

GRE Math: Facts

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 find the y-intercept of a graph?
Set x = 0 - and solve.
How steep the line is. Horizontal line = 0 - vertical has no slope.
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
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. What is the formula for the area of a rectangle?
A = lw
B^m*b^n = b^m+n
Equal slopes.
Set y = 0 - and solve.

3. What is the formula for the area of a parallelogram?
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.
A fraction expressed using the word 'To' or a colon. 3 to 5 - 3:5 - and 3/5.
A = bh
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.

4. What is the relationship between the lengths of the sides of a triangle and the measures of the angles of the triangle?
For any number b: b = -b if and only if b = 0.
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.
Write the percent as a decimal - and multiply.
No matter how many angles there are - the sum around the point is 360°.

5. What is the formula for the volume of a rectangular solid?
Same shape triangles with equal measures of each angle. Any two equilateral - 45-45-90 - and 30-60-90 triangles are similar.
C = p2r
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.
V = lwh

6. How do you calculate percent increases and decreases?
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.
B^m*b^n = b^m+n
1 is a divisor (or factor) of every integer.
C = p2r

7. What is the area of a square?
360°
V = pr^2h
A = s^2 or A =d^2/2 where d is the diagonal
Corresponding sides of similar triangles are in proportion.

8. What does it mean if y is directly proportional to x?
At least one of the factors is 0.
Then the quotient y/x is a constant.
Equal slopes.
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3

9. Law of exponents 5
0 is a multiple of every integer.
A^m/b^m = (a/b)^m
Shifted left 2 units.
M = (y2 - y1)/(x2 - x1)

10. How do you find the slope of a line?
Then the product xy is a constant.
Divide - then multiply by 100.
M = (y2 - y1)/(x2 - x1)
Vertical line is x = a - horizontal is y = b - any other is y = mx + b.

11. How you convert a fraction or a decimal to a percent?
For any number n: x^-n means 1/x^n.
Divide - then multiply by 100.
A fraction expressed using the word 'To' or a colon. 3 to 5 - 3:5 - and 3/5.
An equation that states that two ratios are equivalent. 4/6 = 10/15

12. What is p?
(Circumference/diameter) of a circle - or approximately 3.14.
180°. If two or more angles form a straight angle - their sum is 180°.
A = pr^2
V = lwh

13. What is a divisor and a factor of an integer?
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°.
They are both the same. A divisor or factor of an integer leaves no remainder.
Shifted up 2 units.
Shifted right 2 units.

14. What is the formula for the surface area of a rectangular solid?
A = 2(lw + lh + hw)
A = bh
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.
For any integer n: 1^n = 1.

15. What is true about the measures of the three angles in a triangle?
Their sum is 180°.
M = (y2 - y1)/(x2 - x1)
For any integer n: 1^n = 1.
For any number b: b = -b if and only if b = 0.

16. What is an integer?
Shifted right 2 units.
Equal slopes.
All positive and negative whole numbers - and zero.
The two pairs of opposite angles formed are equal to each other.

17. Law of exponents 2
Their sum is 180°.
Is a right triangle with a ratio of sides x:xv3:2x.
B^m/b^n = b^m-n
A = 6(l^2)

18. What is an exterior angle of a triangle?
The two pairs of opposite angles formed are equal to each other.
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
Formed by extending a side of the triangle. Equal to the sum of the two opposite interior angles.
0 is a multiple of every integer.

19. If you were given the graph of y = f(x) - what does f(a) represent?
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.
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.
The two pairs of opposite angles formed are equal to each other.
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.

20. What is the formula for the area of a triangle?
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.
A = (1/2)bh.
A = 6(l^2)
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.

21. What is a percent?
V = pr^2h
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.
A fraction whose denominator is 100 i.e. 17% = 17/100
Then the product xy is a constant.

22. What is the sum of the measures of all angles around a point?
No matter how many angles there are - the sum around the point is 360°.
Shifted down 2 units.
A fraction whose denominator is 100 i.e. 17% = 17/100
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.

23. Properties of one 4
1 is the smallest positive odd integer.
Cannot is 0 - must is 1 - all others are in between.
The set of all ordered pairs (x -y) such that y = f(x).
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.

24. What is special formula for the area of an equilateral triangle?
360°
A = [(s^2*v3)/4]
360°
V = lwh

25. What is true about the slopes of perpendicular lines?
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 angle formed by extending the side of the polygon.
The product of their slopes is -1 (negative reciprocal).
A fraction expressed using the word 'To' or a colon. 3 to 5 - 3:5 - and 3/5.

26. What is the triangle inequality?
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.
Shifted left 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.
B^m/b^n = b^m-n

27. What is the ratio of similitude?
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3
The ratio of corresponding sides of similar triangles.
For any number n: x^-n means 1/x^n.
Then the product xy is a constant.

28. Law of exponents 3
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.
Equal slopes.
Shifted right 2 units.
(b^m)^n = b^mn

29. For what values of a function is the function undefined?
Arc = (x°/360)(2pr) where x is the central angle.
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
0 is a multiple of every integer.
(b^m)^n = b^mn

30. How do you convert a percent to a fraction or a decimal?
Write the percent over 100 and reduce.
Their sum is 180°.
C = p2r
(Circumference/diameter) of a circle - or approximately 3.14.

31. If a polygon has n sides - the sum of the measures of its n exterior angles - taking one angle at each vertex?
(n - 2)(180°)
Shifted right 2 units.
360°
B^m*b^n = b^m+n

32. Important binomial 2
(x + y)(x - y) = x^2 - y^2
B^m/b^n = b^m-n
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
At least one of the factors is 0.

33. How do you find the probability that an event will occur?
A fraction expressed using the word 'To' or a colon. 3 to 5 - 3:5 - and 3/5.
P(e) = (# of favorable outcomes)/(# of possible outcomes)
Area = (x°/360)(pr^2) where x is the central angle.
0 is the only number that is neither positive nor negative.

34. In a circle of radius r - what is the formula for the area?
An integer greater than one that is not prime.
Shifted left 2 units.
A = pr^2
In the expression x^b - x is the base and b is the exponent.

35. What are the properties of a square?
A = 6(l^2)
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.
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.
For any integer n: 1^n = 1.

36. Properties of zero 1
A = lw
If a is negative and b is positive - then a < 0 < b.
1 is a divisor (or factor) of every integer.
0 is the only number that is neither positive nor negative.

37. Properties of zero 3
States that for any numbers a - b - and c: a (b + c) = ab + ac and a(b - c) = ab - ac.
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.
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.
0 is a multiple of every integer.

38. Properties of zero 4
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.
1 is the smallest positive odd integer.
For every number a: a + 0 = a; a - 0 = a; a * 0 = 0; a / 0 is undefined.
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.

39. What is a negative exponent?
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.
All positive and negative whole numbers - and zero.
An equation that states that two ratios are equivalent. 4/6 = 10/15

40. How do you find the area of a sector of a circle?
A^m/b^m = (a/b)^m
If a is negative and b is positive - then a < 0 < b.
B^m/b^n = b^m-n
Area = (x°/360)(pr^2) where x is the central angle.

41. How do we write the equation of a line?
Arc = (x°/360)(2pr) where x is the central angle.
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.
Vertical line is x = a - horizontal is y = b - any other is y = mx + b.
The set of all ordered pairs (x -y) such that y = f(x).

42. In a circle of radius r - what is the formula for the diameter?
V = pr^2h
D = 2r
Shifted right 2 units.
Shifted up 2 units.

43. What are similar triangles?
It is isosceles - right triangle - with a ratio of sides x:x:xv2.
Same shape triangles with equal measures of each angle. Any two equilateral - 45-45-90 - and 30-60-90 triangles are similar.
Is a right triangle with a ratio of sides x:xv3:2x.
For any integer n: 1^n = 1.

44. What is the relationship between the graph of f(x) the graph of y = f(x) + 2?
A = bh
Shifted up 2 units.
If a is negative and b is positive - then a < 0 < b.
Divide - then multiply by 100.

45. 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.
360°
(x + y)(x - y) = x^2 - y^2
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.

46. What is the graph of a function?
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
The set of all ordered pairs (x -y) such that y = f(x).
Shifted right 2 units.
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.

47. How do you find a percent of a number?
Shifted up 2 units.
Write the percent as a decimal - and multiply.
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.
D = 2r

48. Properties of square roots
A = 2(lw + lh + hw)
A = lw
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.
A fraction whose denominator is 100 i.e. 17% = 17/100

49. Properties of zero 2
For any number a: a * 1 = a and a / 1 = a.
(n - 2)(180°)
If a is negative and b is positive - then a < 0 < b.
A = 6(l^2)

50. What important property do similar triangles have?
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.
C = p2r
Corresponding sides of similar triangles are in proportion.

Can you answer 50 questions in 15 minutes?

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

Test your basic knowledge |

GRE Math: Facts

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

Certifications

IT Skills

Business Skills

Soft Skills

Vocabulary

Languages

Engineering

Health Sciences

English

Math

Other Major Subjects

Browse all subjects

Browse all tests

Most popular tests