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 one 4
A = 6(l^2)
1 is the smallest positive odd integer.
Their sum is 180°.
A^m/b^m = (a/b)^m

2. What are the properties of a rectangle?
For any integer n: 1^n = 1.
At least one of the factors is 0.
No matter how many angles there are - the sum around the point is 360°.
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.

3. What are the median and the mode of a set of data?
All positive and negative whole numbers - and zero.
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.
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.
If a is negative and b is positive - then a < 0 < b.

4. Properties of zero 5
Then the product xy is a constant.
For any number b: b = -b if and only if b = 0.
For any number a: a * 1 = a and a / 1 = a.
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.

5. Law of exponents 2
Pythagorean theorem - or d = v[(x2 - x1)^2 + (y2 - y1)^2]
Their sum is 90°.
Opposite sides and angles are congruent - the sum of any two consecutive angles is180° - and the diagonals bisect.
B^m/b^n = b^m-n

6. What is the graph of a function?
An angle formed by extending the side of the polygon.
Their sum is 180°.
The set of all ordered pairs (x -y) such that y = f(x).
No matter how many angles there are - the sum around the point is 360°.

7. What is the formula for the surface area of a cube?
In the expression x^b - x is the base and b is the exponent.
A^m*b^m = (ab)^m
V = lwh
A = 6(l^2)

8. What is the volume of a cube?
Set x = 0 - and solve.
V = l^3
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.

9. What is a multiple of an integer?
If a is negative and b is positive - then a < 0 < b.
The ratio of corresponding sides of similar triangles.
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3
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.

10. If the product of two or more numbers is 0 - what do you know about the numbers?
A = 2(lw + lh + hw)
Area = (x°/360)(pr^2) where x is the central angle.
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.
At least one of the factors is 0.

11. Properties of zero 3
(Circumference/diameter) of a circle - or approximately 3.14.
At least one of the factors is 0.
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.
0 is a multiple of every integer.

12. How do you convert a percent to a fraction or a decimal?
For any number a: a * 1 = a and a / 1 = a.
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.
Opposite sides and angles are congruent - the sum of any two consecutive angles is180° - and the diagonals bisect.

13. What is true about the measures of the two acute angles in a right triangle?
Their sum is 90°.
For any integer n: 1^n = 1.
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.
Shifted left 2 units.

14. What is the area of a square?
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.
D = 2r
A = s^2 or A =d^2/2 where d is the diagonal
[(x1 + x2)/2] -[(y1 + y2)/2]

15. What is a negative exponent?
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.
Shifted right 2 units.
If a is negative and b is positive - then a < 0 < b.
For any number n: x^-n means 1/x^n.

16. What is the Pythagorean theorem?
Shifted right 2 units.
For any right triangle - a^2 + b^2 = c^2.
[(x1 + x2)/2] -[(y1 + y2)/2]
(b^m)^n = b^mn

17. What is a proportion?
In the expression x^b - x is the base and b is the exponent.
(n - 2)(180°)
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.
An equation that states that two ratios are equivalent. 4/6 = 10/15

18. How do you calculate percent increases and decreases?
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.
For any number a: a * 1 = a and a / 1 = a.
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.
How steep the line is. Horizontal line = 0 - vertical has no slope.

19. How do you find a percent of a number?
A = bh
An equation that states that two ratios are equivalent. 4/6 = 10/15
Arc = (x°/360)(2pr) where x is the central angle.
Write the percent as a decimal - and multiply.

20. What is the ratio of similitude?
A = lw
M = (y2 - y1)/(x2 - x1)
For any right triangle - a^2 + b^2 = c^2.
The ratio of corresponding sides of similar triangles.

21. What are the important properties of 30-60-90 triangle?
Then the product xy is a constant.
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3
Is a right triangle with a ratio of sides x:xv3:2x.
Even numbers are divisible by 2 and odd numbers are not.

22. What is true about the measures of the four angles formed by two intersecting lines?
P(e) = (# of favorable outcomes)/(# of possible outcomes)
The two pairs of opposite angles formed are equal to each other.
In the expression x^b - x is the base and b is the exponent.
Divide - then multiply by 100.

23. What is a percent?
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.
A = 6(l^2)
A fraction whose denominator is 100 i.e. 17% = 17/100
Set x = 0 - and solve.

24. What is the triangle inequality?
Arc = (x°/360)(2pr) where x is the central angle.
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.
For any integer n: 1^n = 1.
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.

25. What is true about the slopes of parallel lines?
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
Equal slopes.
1 is the smallest positive odd integer.
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.

26. What important property do similar triangles have?
V = pr^2h
(x + y)(x - y) = x^2 - y^2
No matter how many angles there are - the sum around the point is 360°.
Corresponding sides of similar triangles are in proportion.

27. What is the distributive law?
360°
Divide - then multiply by 100.
States that for any numbers a - b - and c: a (b + c) = ab + ac and a(b - c) = ab - ac.
For any integer n: 1^n = 1.

28. What is the distance formula?
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.
In the expression x^b - x is the base and b is the exponent.
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.
Pythagorean theorem - or d = v[(x2 - x1)^2 + (y2 - y1)^2]

29. 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°.
At least one of the factors is 0.
States that for any numbers a - b - and c: a (b + c) = ab + ac and a(b - c) = ab - ac.
A = s^2 or A =d^2/2 where d is the diagonal

30. What is an exponent?
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
They are both the same. A divisor or factor of an integer leaves no remainder.
In the expression x^b - x is the base and b is the 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.

31. What is a fractional exponent?
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.
Then the product xy is a constant.
If x is positive and n is a positive integer: x^1/n means nvx i.e 9^1/2 = v9.
A = (1/2)bh.

32. Properties of one 3
Shifted right 2 units.
Even numbers are divisible by 2 and odd numbers are not.
1 is a divisor (or factor) of every integer.
For every number a: a + 0 = a; a - 0 = a; a * 0 = 0; a / 0 is undefined.

33. Properties of zero 4
An angle formed by extending the side of the polygon.
For every number a: a + 0 = a; a - 0 = a; a * 0 = 0; a / 0 is undefined.
V = pr^2h
Divide - then multiply by 100.

34. What is the relationship between a radius of a circle and a line that is tangent to the circle?
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
At point they intersect - they are perpendicular. Creating quadrilaterals will show unknown angles.
360°
A = 6(l^2)

35. What is a function?
M = (y2 - y1)/(x2 - x1)
Set y = 0 - and solve.
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3
Avg = sum of n numbers/n

36. What is an integer?
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
All positive and negative whole numbers - and zero.
Pythagorean theorem - or d = v[(x2 - x1)^2 + (y2 - y1)^2]
For any number a: a * 1 = a and a / 1 = a.

37. Properties of one 1
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
For every number a: a + 0 = a; a - 0 = a; a * 0 = 0; a / 0 is undefined.
(Circumference/diameter) of a circle - or approximately 3.14.
For any number a: a * 1 = a and a / 1 = a.

38. What do we mean by the slope of the line?
Shifted right 2 units.
Corresponding sides of similar triangles are in proportion.
How steep the line is. Horizontal line = 0 - vertical has no slope.
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3

39. How do you find the y-intercept of a graph?
An angle formed by extending the side of the polygon.
Write the percent as a decimal - and multiply.
Set x = 0 - and solve.
For every number a: a + 0 = a; a - 0 = a; a * 0 = 0; a / 0 is undefined.

40. What is true about the areas of similar triangles?
An integer greater than one that is not prime.
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.
A = 2(lw + lh + hw)
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.

41. What is the relationship between the graph of f(x) the graph of y = f(x) - 2?
A = bh
Then the product xy is a constant.
(b^m)^n = b^mn
Shifted down 2 units.

42. What is a ratio?

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

43. In a circle of radius r - what is the formula for the area?
A = pr^2
Write the percent as a decimal - and multiply.
360°
If x is positive and n is a positive integer: x^1/n means nvx i.e 9^1/2 = v9.

44. What is a prime number?
For any number a: a * 1 = a and a / 1 = a.
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.
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.

45. Law of exponents 4
A^m*b^m = (ab)^m
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.
If x is positive and n is a positive integer: x^1/n means nvx i.e 9^1/2 = v9.
Is a right triangle with a ratio of sides x:xv3:2x.

46. In a circle of radius r - what is the formula for the circumference?
Pythagorean theorem - or d = v[(x2 - x1)^2 + (y2 - y1)^2]
C = p2r
Shifted right 2 units.
The product of their slopes is -1 (negative reciprocal).

47. Important binomial 2
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
V = pr^2h
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
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.

48. What is the relationship between the graph of f(x) the graph of y = f(x - 2)?
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.
Shifted right 2 units.
A^m/b^m = (a/b)^m
A^m*b^m = (ab)^m

49. If you were given the graph of y = f(x) - what does f(a) represent?
(x + y)(x - y) = x^2 - y^2
Then the product xy is a constant.
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.
1 is a divisor (or factor) of every integer.

50. For what values of a function is the function undefined?
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.
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
360°

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