Test your basic knowledge |

GRE Math: All In One

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. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
(2x7)³
4:5
23 - 29
x²+2xy+y²

2. What is the ratio of the sides of an isosceles right triangle?
x²+2xy+y²
The two xes after factoring.
1:1:sqrt2
Every number

3. What is the 'Range' of a series of numbers?
23 - 29
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The greatest value minus the smallest.

4. What is the name for a grouping of the members within a set based on a shared characteristic?
87.5%
(x+y)(x+y)
67 - 71 - 73
A subset.

5. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
Positive
An arc is a portion of a circumference of a circle.
180°

6. In any polygon - all external angles equal up to
360°
1/x
F(x) - c
x²-2xy+y²

7. 10<all primes<20
M
A<-b
The set of input values for a function.
11 - 13 - 17 - 19

8. Factor a^2 + 2ab + b^2
90°
(b + c)
(a + b)^2
y = (x + 5)/2

9. Positive integers that have exactly 2 positive divisors are
The overlapping sections.
Sum of digits is a multiple of 3 and the last digit is even.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
180°

10. If y is directly proportional to x - what does it equal?
y/x is a constant
zero
10! / (10-3)! = 720
Add them. i.e. (5^7) * (5^3) = 5^10

11. Is 0 even or odd?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Every number
Every number
Even

12. Area of a circle
16.6666%
(pi)r²
The objects within a set.
(p + q)/5

13. The only number that is equal to its opposite
70
(n-2) x 180
x²-y²
Ø Ø=Ø

14. Slope given 2 points
N! / (k!)(n-k)!
(base*height) / 2
M= (Y1-Y2)/(X1-X2)
... the square of the ratios of the corresponding sides.

15. How to recognize a # as a multiple of 3
F(x) + c
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
Cd
A grouping of the members within a set based on a shared characteristic.

16. Circumference of a circle?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Negative
x^(4+7) = x^11
Diameter(Pi)

17. What is the 'Range' of a function?
All numbers multiples of 1.
C=2 x pi x r OR pi x D
The set of output values for a function.
52

18. (x+y)²
7 / 1000
M= (Y1-Y2)/(X1-X2)
Add them. i.e. (5^7) * (5^3) = 5^10
x²+2xy+y²

19. factored binomial product of (x+y)²
37.5%
48
x²+2xy+y²
3

20. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
V=Lwh
Two equal sides and two equal angles.
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)

21. What is an exterior angle?
An angle which is supplementary to an interior angle.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The shortest arc between points A and B on a circle'S diameter.
Its divisible by 2 and by 3.

22. Area of a Parallelogram:
The sum of its digits is divisible by 3.
A=(base)(height)
90pi
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)

23. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
F(x-c)
1/x
180
Members or elements

24. What is the maximum value for the function g(x) = (-2x^2) -1?
1
5 OR -5
Right
10

25. a^2 - b^2
(a - b)(a + b)
11 - 13 - 17 - 19
... the square of the ratios of the corresponding sides.
18

26. 2³×7³
(2x7)³
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Ab=k (k is a constant)
1:1:sqrt2

27. Convert 0.7% to a fraction.
P(E) = 1/1 = 1
A= (1/2) b*h
7 / 1000
(distance)/(rate) d/r

28. 50 < all primes< 60
No - only like radicals can be added.
A=½bh
53 - 59
The empty set - denoted by a circle with a diagonal through it.

29. What are the integers?
All numbers multiples of 1.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Yes - like radicals can be added/subtracted.
3/2 - 5/3

30. What percent of 40 is 22?
83.333%
(x+y)(x+y)
N! / (n-k)!
55%

31. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
zero
13pi / 2
$3 -500 in the 9% and $2 -500 in the 7%.
37.5%

32. Number of degrees in a triangle
360°
71 - 73 - 79
180
1

33. First 10 prime #s
72
x - x(SR3) - 2x
EVEN
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

34. How to recognize a multiple of 6
Infinite.
Sum of digits is a multiple of 3 and the last digit is even.
Two angles whose sum is 180.
All numbers multiples of 1.

35. What is a subset?
The interesection of A and B.
0
27^(-4)
A grouping of the members within a set based on a shared characteristic.

36. Circumference of a circle
Its divisible by 2 and by 3.
Pi(diameter)
10! / (10-3)! = 720
A reflection about the origin.

37. Acute Angle
The interesection of A and B.
an angle that is less than 90°
The set of input values for a function.
0

38. In a rectangle - all angles are
A = length x width
Right
The longest arc between points A and B on a circle'S diameter.
1

39. Ø Is
1/a^6
EVEN
Relationship cannot be determined (what if x is negative?)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

40. Rate
Ab=k (k is a constant)
Two angles whose sum is 180.
D/t (distance)/(time)
B?b?b (where b is used as a factor n times)

41. What is the intersection of A and B?
180
Two angles whose sum is 180.
The two xes after factoring.
The set of elements found in both A and B.

42. Area of a circle
A=pi*(r^2)
The sum of digits is divisible by 9.
(distance)/(rate) d/r
Positive or Negative

43. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2.592 kg
Positive
The steeper the slope.
Positive

44. 7/8 in percent?
The sum of the digits is a multiple of 9.
13
87.5%
90°

45. 40 < all primes<50
67 - 71 - 73
41 - 43 - 47
P(E) = ø
The sum of the digits is a multiple of 9.

46. Area of a triangle
A= (1/2) b*h
The set of elements found in both A and B.
Every number
(a + b)^2

47. b¹
1
Ø
5 - 12 - 13
A=(base)(height)

48. binomial product of (x+y)²
(x+y)(x+y)
An angle which is supplementary to an interior angle.
Can be negative - zero - or positive
(base*height) / 2

49. Define a 'monomial'
An arc is a portion of a circumference of a circle.
0
P(E) = number of favorable outcomes/total number of possible outcomes
An expression with just one term (-6x - 2a^2)

50. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
1
28. n = 8 - k = 2. n! / k!(n-k)!
F(x-c)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

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: All In One

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