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. Acute Angle
An infinite set.
10
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
an angle that is less than 90°

2. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
360°
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
X

3. Vertical lines
31 - 37
1/2 times 7/3
x²-y²
Do not have slopes!

4. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(b + c)
Even prime number
31 - 37

5. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
True
y = (x + 5)/2
The set of input values for a function.
0

6. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
x^(4+7) = x^11
P(E) = 1/1 = 1
3 - 4 - 5

7. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
180°
70
The set of elements which can be found in either A or B.

8. The consecutive angles in a parallelogram equal
An isosceles right triangle.
1:1:sqrt2
9
180°

9. a>b then a - b is positive or negative?
75:11
A-b is positive
(a - b)(a + b)
180 degrees

10. What is the order of operations?
An isosceles right triangle.
2^9 / 2 = 256
(amount of decrease/original price) x 100%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

11. How to recognize if a # is a multiple of 12
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.)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Can be negative - zero - or positive
F(x-c)

12. If E is certain
(a - b)^2
Ø
P(E) = 1/1 = 1
x²-2xy+y²

13. If the two sides of a triangle are unequal then the longer side.................
Distance=rate×time or d=rt
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Lies opposite the greater angle
9 : 25

14. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
441000 = 1 10 10 10 21 * 21
6
x²+2xy+y²
Even prime number

15. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
5 - 12 - 13
67 - 71 - 73
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

16. The sum of the angles in a quadrilateral is
Edge³
360°
(length)(width)(height)
A=pi*(r^2)

17. The Perimeter of a rectangle
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
P=2(l+w)
(2x7)³
Every number

18. What is an isoceles triangle?
Two equal sides and two equal angles.
A percent is a fraction whose denominator is 100.
83.333%
2 & 3/7

19. In a rectangle - all angles are
A=½bh
V=side³
Right
72

20. What is a finite set?
F(x) - c
A set with a number of elements which can be counted.
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
A multiple of every integer

21. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Add them. i.e. (5^7) * (5^3) = 5^10
angle that is greater than 90° but less than 180°
4725
Positive or Negative

22. a^0 =
Add them. i.e. (5^7) * (5^3) = 5^10
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1
The interesection of A and B.

23. What is the ratio of the sides of a 30-60-90 triangle?
288 (8 9 4)
1:sqrt3:2
Ø Ø=Ø
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

24. 1 is an
11 - 13 - 17 - 19
N! / (k!)(n-k)!
A= (1/2) b*h
ODD number

25. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The shortest arc between points A and B on a circle'S diameter.
5 OR -5
1:1:sqrt2

26. A prime number (or a prime)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A natural number greater than 1 that has no positive divisors other than 1 and itself
71 - 73 - 79
360°

27. Factor a^2 + 2ab + b^2
F(x) + c
67 - 71 - 73
(a + b)^2
x^(4+7) = x^11

28. Which is greater? 200x^295 or 10x^294?
F(x + c)
62.5%
F(x) + c
Relationship cannot be determined (what if x is negative?)

29. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
Sum of digits is a multiple of 3 and the last digit is even.
1/x
2.592 kg

30. What is the 'Range' of a function?
V=Lwh
The set of output values for a function.
x^(6-3) = x^3
4725

31. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
The steeper the slope.
No - only like radicals can be added.
1/x

32. What is an exterior angle?
55%
An angle which is supplementary to an interior angle.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
V=side³

33. Legs: 3 - 4. Hypotenuse?
x²-y²
(n-2) x 180
A reflection about the origin.
5

34. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Reciprocal
1
53 - 59
V=side³

35. What is a chord of a circle?
3 - 4 - 5
67 - 71 - 73
A chord is a line segment joining two points on a circle.
The two xes after factoring.

36. Circumference of a circle
Straight Angle
5 OR -5
Pi(diameter)
2^9 / 2 = 256

37. Dividing by a number is the same as multiplying it by its
All numbers multiples of 1.
y = (x + 5)/2
12! / 5!7! = 792
Reciprocal

38. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
Cd
(base*height) / 2
27

39. Which is greater? 64^5 or 16^8
Do not have slopes!
90pi
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
2

40. Simplify 9^(1/2) X 4^3 X 2^(-6)?
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
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3
9 & 6/7

41. Any Horizontal line slope
180°
6
zero
A-b is negative

42. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
x²+2xy+y²
Every number
28. n = 8 - k = 2. n! / k!(n-k)!
Triangles with same measure and same side lengths.

43. 1n
A set with no members - denoted by a circle with a diagonal through it.
67 - 71 - 73
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1

44. Convert 0.7% to a fraction.
7 / 1000
90°
The set of elements which can be found in either A or B.
EVEN

45. 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?
20.5
A central angle is an angle formed by 2 radii.
x^(2(4)) =x^8 = (x^4)^2
$3 -500 in the 9% and $2 -500 in the 7%.

46. The reciprocal of any non-zero number is
1
1/x
6
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

47. 7 divided by Ø
A reflection about the axis.
Null
2²
Ab-ac

48. a(b-c)
41 - 43 - 47
Ab-ac
Be Zero!
An isosceles right triangle.

49. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Two angles whose sum is 180.
Negative
9 : 25
90

50. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
4.25 - 6 - 22
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.)
1
N! / (k!)(n-k)!

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: All In One

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