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?
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.
360°
For any integer n: 1^n = 1.
Even numbers are divisible by 2 and odd numbers are not.

2. What is a prime number?
(x + y)(x - y) = x^2 - 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.
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.
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°.

3. What is the measure of a straight angle?
An integer greater than one that is not prime.
180°. If two or more angles form a straight angle - their sum is 180°.
Shifted right 2 units.
A = pr^2

4. Law of exponents 2
360°
B^m/b^n = b^m-n
They are both the same. A divisor or factor of an integer leaves no remainder.
V = l^3

5. How do you find the length of an arc of a circle?
Arc = (x°/360)(2pr) where x is the central angle.
How steep the line is. Horizontal line = 0 - vertical has no slope.
A = (1/2)bh.
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.

6. What is the volume of a cube?
If x is positive - the square root of x (vx) is the integer - n - multiplied by itself to result in x.
0 is the only number that is neither positive nor negative.
V = l^3
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°.

7. What is a composite number?
An integer greater than one that is not prime.
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
Write the percent over 100 and reduce.
Area = (x°/360)(pr^2) where x is the central angle.

8. Law of exponents 3
360°
A = 6(l^2)
Shifted up 2 units.
(b^m)^n = b^mn

9. What is special formula for the area of an equilateral triangle?
A = [(s^2*v3)/4]
M = (y2 - y1)/(x2 - x1)
Equal slopes.
A = 2(lw + lh + hw)

10. How do you find the y-intercept of a graph?
For any right triangle - a^2 + b^2 = c^2.
Shifted down 2 units.
Set x = 0 - and solve.
A = (1/2)bh.

11. What is the triangle inequality?
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.
(n - 2)(180°)
Shifted up 2 units.
(b^m)^n = b^mn

12. What is a function?
180°. If two or more angles form a straight angle - their sum is 180°.
A^m/b^m = (a/b)^m
Set x = 0 - and solve.
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3

13. What is the relationship between a radius of a circle and a line that is tangent to the circle?
At point they intersect - they are perpendicular. Creating quadrilaterals will show unknown angles.
1 is the smallest positive odd integer.
Shifted right 2 units.
B^m*b^n = b^m+n

14. What is a proportion?
An equation that states that two ratios are equivalent. 4/6 = 10/15
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.
Set x = 0 - and solve.
(x + y)^2 = (x + y)(x + y) = x^2 + 2xy + y^2

15. Properties of zero 4
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.
For every number a: a + 0 = a; a - 0 = a; a * 0 = 0; a / 0 is undefined.
An angle formed by extending the side of the polygon.
A = 2(lw + lh + hw)

16. How do you find the slope of a line?
0 is a multiple of every 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°.
M = (y2 - y1)/(x2 - x1)
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.

17. Properties of zero 2
(n - 2)(180°)
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.
If a is negative and b is positive - then a < 0 < b.
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°.

18. Properties of one 4
1 is the smallest positive odd integer.
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
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. What is the distance formula?
360°
How steep the line is. Horizontal line = 0 - vertical has no slope.
Pythagorean theorem - or d = v[(x2 - x1)^2 + (y2 - y1)^2]
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.

20. If a polygon has n sides - the sum of the measures of its n exterior angles - taking one angle at each vertex?
360°
The ratio of corresponding sides of similar triangles.
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.
For any right triangle - a^2 + b^2 = c^2.

21. What is the probability of an event that cannot occur? That must occur?
Cannot is 0 - must is 1 - all others are in between.
0 is the only number that is neither positive nor negative.
(Circumference/diameter) of a circle - or approximately 3.14.
A = (1/2)bh.

22. Law of exponents 4
An integer greater than one that is not prime.
Avg = sum of n numbers/n
A^m*b^m = (ab)^m
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.

23. What is an exterior angle of a polygon?
Write the percent as a decimal - and multiply.
Same as a parallelogram - as well as each angle is 90° - and the diagonals are congruent.
An angle formed by extending the side of the polygon.
D = 2r

24. In a circle of radius r - what is the formula for the diameter?
For any integer n: 1^n = 1.
(b^m)^n = b^mn
Avg = sum of n numbers/n
D = 2r

25. What are the sum - difference - products - and quotient of two numbers?
The product of their slopes is -1 (negative reciprocal).
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 integer n: 1^n = 1.
Sum is addition - difference in subtraction - product is multiplication - and quotient is division.

26. What are the properties of a parallelogram?
0 is the only number that is neither positive nor negative.
Opposite sides and angles are congruent - the sum of any two consecutive angles is180° - and the diagonals bisect.
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.
360°

27. How do you convert a percent to a fraction or a decimal?
A fraction whose denominator is 100 i.e. 17% = 17/100
Avg = sum of n numbers/n
0 is a multiple of every integer.
Write the percent over 100 and reduce.

28. 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.
Divide - then multiply by 100.
360°
If x is positive and n is a positive integer: x^1/n means nvx i.e 9^1/2 = v9.

29. What is the sum of the measures of the n angles of a polygon with n sides?
(n - 2)(180°)
[(x1 + x2)/2] -[(y1 + y2)/2]
Multiply each number by its weight (number of girls - boys - etc.) - add together - then divide by total.
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.

30. What is true about the measures of the two acute angles in a right triangle?
Their sum is 90°.
V = pr^2h
For any integer n: 1^n = 1.
A = [(s^2*v3)/4]

31. Properties of one 1
A = (1/2)bh.
For any number a: a * 1 = a and a / 1 = a.
1 is the smallest positive odd integer.
Their sum is 180°.

32. What is the formula for the area of a parallelogram?
A = bh
The product of their slopes is -1 (negative reciprocal).
Their sum is 180°.
0 is the only number that is neither positive nor negative.

33. What is true about the areas of similar triangles?
Vertical line is x = a - horizontal is y = b - any other is y = mx + b.
A = 6(l^2)
A fraction expressed using the word 'To' or a colon. 3 to 5 - 3:5 - and 3/5.
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.

34. What is an exponent?
Their sum is 180°.
In the expression x^b - x is the base and b is the exponent.
V = l^3
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.

35. What is the formula for the volume of a rectangular solid?
V = lwh
The product of their slopes is -1 (negative reciprocal).
360°
Even numbers are divisible by 2 and odd numbers are not.

36. How do you find the x-intercept of a graph?
Set y = 0 - and solve.
(n - 2)(180°)
P(e) = (# of favorable outcomes)/(# of possible outcomes)
For any right triangle - a^2 + b^2 = c^2.

37. For what values of a function is the function undefined?
For any number a: a * 1 = a and a / 1 = a.
For the GRE - when a denominator will equal 0 or when a negative will appear under a square root.
The quotient is the answer in division and the remainder is any left over amount when the numbers aren'T divisible evenly.
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°.

38. What important property do similar triangles have?
P(e) = (# of favorable outcomes)/(# of possible outcomes)
Ex. f(anything) = 2(anything) + 3 i.e. f(x) = 2x + 3
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.
Corresponding sides of similar triangles are in proportion.

39. How do we write the equation of a line?
Then the product xy is a constant.
A = s^2 or A =d^2/2 where d is the diagonal
Vertical line is x = a - horizontal is y = b - any other is y = mx + b.
Area = (x°/360)(pr^2) where x is the central angle.

40. What is true about the slopes of perpendicular lines?
(x - y)^2 = (x - y)(x - y) = x^2 - 2xy + y^2
The product of their slopes is -1 (negative reciprocal).
Divide - then multiply by 100.
Avg = sum of n numbers/n

41. How do you calculate percent increases and decreases?
If x is positive and n is a positive integer: x^1/n means nvx i.e 9^1/2 = v9.
Increase is [(actual increase)/(original amount)]100 and decrease is [(actual decrease)/(original amount)]100.
If two triangles are similar with a ratio of similitude of k - the ratio of their areas is k^2.
0 is the only number that is neither positive nor negative.

42. What do we mean by the slope of the line?
The product of their slopes is -1 (negative reciprocal).
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.
How steep the line is. Horizontal line = 0 - vertical has no slope.
0 is the only number that is neither positive nor negative.

43. 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

44. What is the formula for the surface area of a rectangular solid?
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°.
(x + y)(x - y) = x^2 - y^2
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.
A = 2(lw + lh + hw)

45. What is the formula for the area of a rectangle?
A = lw
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.
Two or more circles overlapping each other - often enclosed by a square - used to help solve counting problems.

46. Law of exponents 1
360°
(Circumference/diameter) of a circle - or approximately 3.14.
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.
B^m*b^n = b^m+n

47. Properties of square roots
D = 2r
How steep the line is. Horizontal line = 0 - vertical has no slope.
For any right triangle - a^2 + b^2 = c^2.
For any positive numbers a and b: vab = va*vb and v(a/b) = va/vb.

48. What is the relationship between the graph of f(x) the graph of y = f(x + 2)?
Shifted left 2 units.
States that for any numbers a - b - and c: a (b + c) = ab + ac and a(b - c) = ab - ac.
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 up 2 units.

49. 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.
They are both the same. A divisor or factor of an integer leaves no remainder.
Equal slopes.
Even numbers are divisible by 2 and odd numbers are not.

50. What is the ratio of similitude?
0 is a multiple of every integer.
A fraction expressed using the word 'To' or a colon. 3 to 5 - 3:5 - and 3/5.
V = pr^2h
The ratio of corresponding sides of similar triangles.

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