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. Properties of zero 2
If a is negative and b is positive - then a < 0 < b.
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
Their sum is 90°.
The two pairs of opposite angles formed are equal to each other.

2. How do you convert a percent to a fraction or a decimal?
The quotient is the answer in division and the remainder is any left over amount when the numbers aren'T divisible evenly.
If x is positive and n is a positive integer: x^1/n means nvx i.e 9^1/2 = v9.
A = [(s^2*v3)/4]
Write the percent over 100 and reduce.

3. How do you find the y-intercept of a graph?
Set x = 0 - and solve.
Write the percent over 100 and reduce.
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.

4. Law of exponents 5
A^m/b^m = (a/b)^m
Shifted down 2 units.
A = lw
(n - 2)(180°)

5. Properties of zero 4
For every number a: a + 0 = a; a - 0 = a; a * 0 = 0; a / 0 is undefined.
(x + y)(x - y) = x^2 - y^2
At least one of the factors is 0.
D = 2r

6. What is a multiple of an integer?
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.
(n - 2)(180°)
360°
If a is negative and b is positive - then a < 0 < b.

7. Properties of one 4
1 is the smallest positive odd integer.
A fraction whose denominator is 100 i.e. 17% = 17/100
D = 2r
The set of all ordered pairs (x -y) such that y = f(x).

8. What is the formula for the volume of a cylinder?
V = pr^2h
Equal slopes.
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.
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.

9. What is an exterior angle of a triangle?
Formed by extending a side of the triangle. Equal to the sum of the two opposite interior angles.
(b^m)^n = b^mn
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
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.

10. Law of exponents 4
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.
180°. If two or more angles form a straight angle - their sum is 180°.
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.
A^m*b^m = (ab)^m

11. What is an exponent?
In the expression x^b - x is the base and b is the exponent.
A fraction expressed using the word 'To' or a colon. 3 to 5 - 3:5 - and 3/5.
Set x = 0 - and solve.
Area = (x°/360)(pr^2) where x is the central angle.

12. What are the important properties of 30-60-90 triangle?
Is a right triangle with a ratio of sides x:xv3:2x.
(Circumference/diameter) of a circle - or approximately 3.14.
For any number b: b = -b if and only if b = 0.
For any number n: x^-n means 1/x^n.

13. Important binomial 2
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.
It is isosceles - right triangle - with a ratio of sides x:x:xv2.
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
For any number n: x^-n means 1/x^n.

14. Law of exponents 3
Write the percent over 100 and reduce.
Shifted down 2 units.
(b^m)^n = b^mn
Even numbers are divisible by 2 and odd numbers are not.

15. What is a Venn diagram?
If x is positive - the square root of x (vx) is the integer - n - multiplied by itself to result in x.
Write the percent as a decimal - and multiply.
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.

16. Properties of square roots
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.
D = 2r
Even numbers are divisible by 2 and odd numbers are not.
A = bh

17. What is a proportion?
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.
An equation that states that two ratios are equivalent. 4/6 = 10/15
0 is the only number that is neither positive nor negative.
For any integer n: 1^n = 1.

18. What is the relationship between the graph of f(x) the graph of y = f(x) + 2?
Is a right triangle with a ratio of sides x:xv3:2x.
Write the percent over 100 and reduce.
A^m/b^m = (a/b)^m
Shifted up 2 units.

19. Law of exponents 2
A = [(s^2*v3)/4]
V = pr^2h
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.
B^m/b^n = b^m-n

20. How do you find the probability that an event will occur?
At point they intersect - they are perpendicular. Creating quadrilaterals will show unknown angles.
For any integer n: 1^n = 1.
P(e) = (# of favorable outcomes)/(# of possible outcomes)
A = s^2 or A =d^2/2 where d is the diagonal

21. What is a fractional exponent?
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.
Cannot is 0 - must is 1 - all others are in between.
They are both the same. A divisor or factor of an integer leaves no remainder.
If x is positive and n is a positive integer: x^1/n means nvx i.e 9^1/2 = v9.

22. What is true about the slopes of perpendicular lines?
The product of their slopes is -1 (negative reciprocal).
Arc = (x°/360)(2pr) where x is the central angle.
1 is a divisor (or factor) of every integer.
A fraction whose denominator is 100 i.e. 17% = 17/100

23. What is a composite number?
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.
The quotient is the answer in division and the remainder is any left over amount when the numbers aren'T divisible evenly.
An integer greater than one that is not prime.
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.

24. What is the Pythagorean theorem?
Then the product xy is a constant.
(Circumference/diameter) of a circle - or approximately 3.14.
For any right triangle - a^2 + b^2 = c^2.
A = bh

25. How do you find the x-intercept of a graph?
(Circumference/diameter) of a circle - or approximately 3.14.
Set y = 0 - and solve.
For any number b: b = -b if and only if b = 0.
Vertical line is x = a - horizontal is y = b - any other is y = mx + b.

26. Important binomial 1
(x + y)(x - y) = x^2 - y^2
A = 6(l^2)
Write the percent over 100 and reduce.
The quotient is the answer in division and the remainder is any left over amount when the numbers aren'T divisible evenly.

27. What important property do similar triangles have?
The two pairs of opposite angles formed are equal to each other.
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.
Corresponding sides of similar triangles are in proportion.
The quotient is the answer in division and the remainder is any left over amount when the numbers aren'T divisible evenly.

28. In a circle of radius r - what is the formula for the area?
The ratio of corresponding sides of similar triangles.
A = pr^2
(b^m)^n = b^mn
A = 6(l^2)

29. What is the volume of a cube?
(b^m)^n = b^mn
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.
V = l^3
Their sum is 180°.

30. In a circle of radius r - what is the formula for the diameter?
D = 2r
Cannot is 0 - must is 1 - all others are in between.
A = pr^2
M = (y2 - y1)/(x2 - x1)

31. What is the formula for the volume of a rectangular solid?
For any number a: a * 1 = a and a / 1 = a.
V = lwh
All positive and negative whole numbers - and zero.
Corresponding sides of similar triangles are in proportion.

32. What is the midpoint formula?
Vertical line is x = a - horizontal is y = b - any other is y = mx + b.
[(x1 + x2)/2] -[(y1 + y2)/2]
180°. If two or more angles form a straight angle - their sum is 180°.
Formed by extending a side of the triangle. Equal to the sum of the two opposite interior angles.

33. If the product of two or more numbers is 0 - what do you know about the numbers?
If a is negative and b is positive - then a < 0 < b.
At least one of the factors is 0.
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.
An equation that states that two ratios are equivalent. 4/6 = 10/15

34. 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.
A fraction whose denominator is 100 i.e. 17% = 17/100
A = (1/2)bh.
Arc = (x°/360)(2pr) where x is the central angle.

35. Law of exponents 1
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3
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.
A = (1/2)bh.
B^m*b^n = b^m+n

36. Properties of one 2
M = (y2 - y1)/(x2 - x1)
For any integer n: 1^n = 1.
If x is positive - the square root of x (vx) is the integer - n - multiplied by itself to result in x.
A = pr^2

37. What is the formula for the area of a triangle?
V = lwh
V = l^3
A = (1/2)bh.
It is isosceles - right triangle - with a ratio of sides x:x:xv2.

38. What are the median and the mode of a set of data?
Opposite sides and angles are congruent - the sum of any two consecutive angles is180° - and the diagonals bisect.
The quotient is the answer in division and the remainder is any left over amount when the numbers aren'T divisible evenly.
If x is positive - the square root of x (vx) is the integer - n - multiplied by itself to result in x.
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.

39. What are the quotient and the remainder?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

40. What do we mean by the slope of the line?
How steep the line is. Horizontal line = 0 - vertical has no slope.
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.
Then the product xy is a constant.
Shifted right 2 units.

41. What is a prime number?
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.
Set y = 0 - and solve.
Write the percent as a decimal - and multiply.
180°. If two or more angles form a straight angle - their sum is 180°.

42. What is the relationship between a radius of a circle and a line that is tangent to the circle?
The set of all ordered pairs (x -y) such that y = f(x).
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.
0 is a multiple of every integer.
At point they intersect - they are perpendicular. Creating quadrilaterals will show unknown angles.

43. What is the relationship between the lengths of the sides of a triangle and the measures of the angles of the triangle?
An equation that states that two ratios are equivalent. 4/6 = 10/15
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.
How steep the line is. Horizontal line = 0 - vertical has no slope.
Even numbers are divisible by 2 and odd numbers are not.

44. Properties of zero 3
Arc = (x°/360)(2pr) where x is the central angle.
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
0 is a multiple of every integer.
For every number a: a + 0 = a; a - 0 = a; a * 0 = 0; a / 0 is undefined.

45. If you were given the graph of y = f(x) - what does f(a) represent?
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.
Is a right triangle with a ratio of sides x:xv3:2x.
A fraction expressed using the word 'To' or a colon. 3 to 5 - 3:5 - and 3/5.
How steep the line is. Horizontal line = 0 - vertical has no slope.

46. What does it mean if y is inversely proportional to x?
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3
Then the product xy is a constant.
States that for any numbers a - b - and c: a (b + c) = ab + ac and a(b - c) = ab - ac.
The two pairs of opposite angles formed are equal to each other.

47. What is an even and an odd number?
An angle formed by extending the side of the polygon.
Even numbers are divisible by 2 and odd numbers are not.
A = bh
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.

48. What is the distance formula?
180°. If two or more angles form a straight angle - their sum is 180°.
(b^m)^n = b^mn
Shifted down 2 units.
Pythagorean theorem - or d = v[(x2 - x1)^2 + (y2 - y1)^2]

49. What is the relationship between the graph of f(x) the graph of y = f(x + 2)?
Divide - then multiply by 100.
A fraction whose denominator is 100 i.e. 17% = 17/100
Shifted left 2 units.
Cannot is 0 - must is 1 - all others are in between.

50. What are the properties of a parallelogram?
Opposite sides and angles are congruent - the sum of any two consecutive angles is180° - and the diagonals bisect.
An equation that states that two ratios are equivalent. 4/6 = 10/15
Avg = sum of n numbers/n
The set of all ordered pairs (x -y) such that y = f(x).

Sorry!:) No result found.

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

Sorry!:) No result found.

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