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. What is the sum of the measures of the four angles in a quadrilateral?
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.
Even numbers are divisible by 2 and odd numbers are not.
Cannot is 0 - must is 1 - all others are in between.
360°

2. What is the distance formula?
A^m/b^m = (a/b)^m
Pythagorean theorem - or d = v[(x2 - x1)^2 + (y2 - y1)^2]
A = lw
[(x1 + x2)/2] -[(y1 + y2)/2]

3. What are the important properties of a 45-45 - 90 triangle?
B^m/b^n = b^m-n
0 is the only number that is neither positive nor negative.
For any number b: b = -b if and only if b = 0.
It is isosceles - right triangle - with a ratio of sides x:x:xv2.

4. What is the volume of a cube?
V = l^3
1 is a divisor (or factor) of every integer.
0 is the only number that is neither positive nor negative.
A fraction expressed using the word 'To' or a colon. 3 to 5 - 3:5 - and 3/5.

5. What is the area of a square?
For any right triangle - a^2 + b^2 = c^2.
They are both the same. A divisor or factor of an integer leaves no remainder.
A = s^2 or A =d^2/2 where d is the diagonal
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.

6. What is the measure of a straight angle?
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.
The set of all ordered pairs (x -y) such that y = f(x).
180°. If two or more angles form a straight angle - their sum is 180°.
Equal slopes.

7. What is the formula for the surface area of a cube?
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.
An equation that states that two ratios are equivalent. 4/6 = 10/15
(n - 2)(180°)
A = 6(l^2)

8. Properties of zero 4
If a is negative and b is positive - then a < 0 < b.
For any number b: b = -b if and only if b = 0.
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.
For every number a: a + 0 = a; a - 0 = a; a * 0 = 0; a / 0 is undefined.

9. What are the properties of a square?
If a is negative and b is positive - then a < 0 < b.
An equation that states that two ratios are equivalent. 4/6 = 10/15
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.

10. Properties of one 3
0 is a multiple of every integer.
180°. If two or more angles form a straight angle - their sum is 180°.
1 is a divisor (or factor) of every integer.
Write the percent over 100 and reduce.

11. What is true about the measures of the four angles formed by two intersecting lines?
For any number b: b = -b if and only if b = 0.
For any integer n: 1^n = 1.
B^m/b^n = b^m-n
The two pairs of opposite angles formed are equal to each other.

12. 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

13. If you were given the graph of y = f(x) - what does f(a) represent?
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.
Formed by extending a side of the triangle. Equal to the sum of the two opposite interior angles.
Set x = 0 - and solve.
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.

14. What is a divisor and a factor of an integer?
They are both the same. A divisor or factor of an integer leaves no remainder.
Formed by extending a side of the triangle. Equal to the sum of the two opposite interior angles.
If x is positive - the square root of x (vx) is the integer - n - multiplied by itself to result in x.
For any number b: b = -b if and only if b = 0.

15. Law of exponents 4
The ratio of corresponding sides of similar triangles.
Arc = (x°/360)(2pr) where x is the central angle.
A^m*b^m = (ab)^m
(x + y)(x - y) = x^2 - y^2

16. How do you convert a percent to a fraction or a decimal?
Write the percent over 100 and reduce.
All positive and negative whole numbers - and zero.
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.
1 is a divisor (or factor) of every integer.

17. What is a percent?
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
A fraction whose denominator is 100 i.e. 17% = 17/100

18. What is the formula for the volume of a rectangular solid?
Set x = 0 - and solve.
0 is a multiple of every integer.
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.

19. If a polygon has n sides - the sum of the measures of its n exterior angles - taking one angle at each vertex?
(b^m)^n = b^mn
Corresponding sides of similar triangles are in proportion.
360°
B^m/b^n = b^m-n

20. What is the midpoint formula?
Formed by extending a side of the triangle. Equal to the sum of the two opposite interior angles.
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.
It is isosceles - right triangle - with a ratio of sides x:x:xv2.
[(x1 + x2)/2] -[(y1 + y2)/2]

21. How do you find a percent of a number?
The product of their slopes is -1 (negative reciprocal).
Write the percent as a decimal - and multiply.
Set x = 0 - and solve.
A^m*b^m = (ab)^m

22. What is an exterior angle of a polygon?
An angle formed by extending the side of the polygon.
Avg = sum of n numbers/n
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.

23. What is an even and an odd number?
If x is positive and n is a positive integer: x^1/n means nvx i.e 9^1/2 = v9.
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.
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°.
Even numbers are divisible by 2 and odd numbers are not.

24. Properties of zero 1
A^m*b^m = (ab)^m
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.
0 is the only number that is neither positive nor negative.
All positive and negative whole numbers - and zero.

25. How do we write the equation of a line?
Vertical line is x = a - horizontal is y = b - any other is y = mx + b.
At point they intersect - they are perpendicular. Creating quadrilaterals will show unknown angles.
1 is a divisor (or factor) of every integer.
V = l^3

26. What is the formula for the area of a parallelogram?
A = bh
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°.
0 is a multiple of every integer.
(b^m)^n = b^mn

27. What are the properties of a parallelogram?
They are both the same. A divisor or factor of an integer leaves no remainder.
Write the percent over 100 and reduce.
Opposite sides and angles are congruent - the sum of any two consecutive angles is180° - and the diagonals bisect.
V = lwh

28. What is the relationship between a radius of a circle and a line that is tangent to the circle?
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.
F(a) is the y-coordinate of the point on the graph of y = f(x) whose x-coordinate is a.
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.
At point they intersect - they are perpendicular. Creating quadrilaterals will show unknown angles.

29. What is the relationship between the graph of f(x) the graph of y = f(x) + 2?
Vertical line is x = a - horizontal is y = b - any other is y = mx + b.
B^m*b^n = b^m+n
The quotient is the answer in division and the remainder is any left over amount when the numbers aren'T divisible evenly.
Shifted up 2 units.

30. 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°.
B^m*b^n = b^m+n
Even numbers are divisible by 2 and odd numbers are not.
For every number a: a + 0 = a; a - 0 = a; a * 0 = 0; a / 0 is undefined.

31. What is a negative exponent?
A = s^2 or A =d^2/2 where d is the diagonal
An integer greater than one that is not prime.
Their sum is 180°.
For any number n: x^-n means 1/x^n.

32. What is a ratio?

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

33. How you convert a fraction or a decimal to a percent?
Same shape triangles with equal measures of each angle. Any two equilateral - 45-45-90 - and 30-60-90 triangles are similar.
For any number a: a * 1 = a and a / 1 = a.
The quotient is the answer in division and the remainder is any left over amount when the numbers aren'T divisible evenly.
Divide - then multiply by 100.

34. Important binomial 2
A^m*b^m = (ab)^m
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2
0 is a multiple of every integer.
Set x = 0 - and solve.

35. What is the formula for the area of a triangle?
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.
A = (1/2)bh.
Equal slopes.
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.

36. What is a prime number?
Shifted up 2 units.
[(x1 + x2)/2] -[(y1 + y2)/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.
At point they intersect - they are perpendicular. Creating quadrilaterals will show unknown angles.

37. What are the important properties of 30-60-90 triangle?
B^m*b^n = b^m+n
Is a right triangle with a ratio of sides x:xv3:2x.
Write the percent as a decimal - and multiply.
(b^m)^n = b^mn

38. What is a composite number?
An integer greater than one that is not prime.
180°. If two or more angles form a straight angle - their sum is 180°.
At least one of the factors is 0.
[(x1 + x2)/2] -[(y1 + y2)/2]

39. How do you find the area of a sector of a circle?
No matter how many angles there are - the sum around the point is 360°.
An angle formed by extending the side of the polygon.
Shifted right 2 units.
Area = (x°/360)(pr^2) where x is the central angle.

40. What is an exterior angle of a triangle?
1 is a divisor (or factor) of every integer.
Formed by extending a side of the triangle. Equal to the sum of the two opposite interior angles.
For any integer n: 1^n = 1.
An equation that states that two ratios are equivalent. 4/6 = 10/15

41. Important binomial 3
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.
A = 2(lw + lh + hw)
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
For any number n: x^-n means 1/x^n.

42. What is a function?
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3
The product of their slopes is -1 (negative reciprocal).
A fraction whose denominator is 100 i.e. 17% = 17/100

43. What is the ratio of similitude?
The ratio of corresponding sides of similar triangles.
Formed by extending a side of the triangle. Equal to the sum of the two opposite interior angles.
[(x1 + x2)/2] -[(y1 + y2)/2]
Shifted up 2 units.

44. What is the relationship between the lengths of the sides of a triangle and the measures of the angles of the triangle?
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.
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.
Even numbers are divisible by 2 and odd numbers are not.
For any integer n: 1^n = 1.

45. What is true about the areas of similar triangles?
A = (1/2)bh.
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.
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.

46. What formula is used for an average?
Shifted right 2 units.
Avg = sum of n numbers/n
(Circumference/diameter) of a circle - or approximately 3.14.
The product of their slopes is -1 (negative reciprocal).

47. What is the graph of a function?
The set of all ordered pairs (x -y) such that y = f(x).
1 is the smallest positive odd integer.
B^m*b^n = b^m+n
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2

48. In a circle of radius r - what is the formula for the diameter?
D = 2r
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
360°
The quotient is the answer in division and the remainder is any left over amount when the numbers aren'T divisible evenly.

49. What are the median and the mode of a set of data?
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.
Area = (x°/360)(pr^2) where x is the central angle.
The set of all ordered pairs (x -y) such that y = f(x).
If x is positive and n is a positive integer: x^1/n means nvx i.e 9^1/2 = v9.

50. What is an exponent?
States that for any numbers a - b - and c: a (b + c) = ab + ac and a(b - c) = ab - ac.
A^m*b^m = (ab)^m
In the expression x^b - x is the base and b is the exponent.
At point they intersect - they are perpendicular. Creating quadrilaterals will show unknown angles.

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