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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. How to recognize if a # is a multiple of 12
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Negative
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.)
5 - 12 - 13

2. Find distance when given time and rate
Its divisible by 2 and by 3.
D=rt so r= d/t and t=d/r
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)
360°

3. How do you solve proportions? a/b=c/d
A 30-60-90 triangle.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
13
Two angles whose sum is 90.

4. Pi is a ratio of what to what?

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5. 40 < all primes<50
41 - 43 - 47
0
A subset.
1

6. (x+y)²
x²+2xy+y²
x²-y²
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(a - b)(a + b)

7. Area of a Parallelogram:
(pi)r²
(2x7)³
A=(base)(height)
12! / 5!7! = 792

8. 1/Ø=null If a>b then
A<-b
M= (Y1-Y2)/(X1-X2)
4725
180

9. The reciprocal of any non-zero #x is
F(x + c)
55%
1/x
A central angle is an angle formed by 2 radii.

10. Describe the relationship between 3x^2 and 3(x - 1)^2
P(E) = ø
Move the decimal point to the right x places
5
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

11. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
180°
180
90
A chord is a line segment joining two points on a circle.

12. 30 60 90
5 - 12 - 13
180 degrees
441000 = 1 10 10 10 21 * 21
Ab=k (k is a constant)

13. The sum of the measures of the n angles in a polygon with n sides
23 - 29
Ab+ac
(n-2) x 180
Do not have slopes!

14. Evaluate 4/11 + 11/12
A reflection about the origin.
41 - 43 - 47
71 - 73 - 79
1 & 37/132

15. 5/6 in percent?
83.333%
0
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.
500

16. What is the graph of f(x) shifted right c units or spaces?
Even
52
F(x-c)
3x - 4x - 5x

17. What are the irrational numbers?

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18. Ø is
C=2 x pi x r OR pi x D
A multiple of every integer
11 - 13 - 17 - 19
1.0843 X 10^11

19. 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?
1
5 OR -5
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)
$3 -500 in the 9% and $2 -500 in the 7%.

20. What is the 'Solution' for a system of linear equations?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Two equal sides and two equal angles.
The point of intersection of the systems.
The direction of the inequality is reversed.

21. What is the ratio of the sides of a 30-60-90 triangle?
4:5
A subset.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
1:sqrt3:2

22. Formula for the area of a sector of a circle?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
0
180 degrees
Sector area = (n/360) X (pi)r^2

23. What is a major arc?

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24. The Perimeter of a rectangle
Two angles whose sum is 90.
6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
P=2(l+w)

25. What is the slope of a vertical line?

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26. What is a tangent?
27^(-4)
A tangent is a line that only touches one point on the circumference of a circle.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
B?b?b (where b is used as a factor n times)

27. Area of a circle
(pi)r²
F(x + c)
The empty set - denoted by a circle with a diagonal through it.
Ø

28. Formula for the area of a circle?
An angle which is supplementary to an interior angle.
The direction of the inequality is reversed.
Null
A = pi(r^2)

29. a^2 + 2ab + b^2
12! / 5!7! = 792
Cd
M
(a + b)^2

30. 1/6 in percent?
Right
5 - 12 - 13
16.6666%
X

31. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
Move the decimal point to the right x places
Ø
.0004809 X 10^11

32. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
F(x + c)
A percent is a fraction whose denominator is 100.
(a + b)^2
28. n = 8 - k = 2. n! / k!(n-k)!

33. What is the measure of an exterior angle of a regular pentagon?
72
Indeterminable.
D/t (distance)/(time)
The point of intersection of the systems.

34. One is (a prime or not?)
The overlapping sections.
NOT A PRIME
An angle which is supplementary to an interior angle.
4:5

35. Distance
The empty set - denoted by a circle with a diagonal through it.
(rate)(time) d=rt
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

36. a^2 - b^2
zero
A+c<b+c
(a - b)(a + b)
P= 2L + 2w

37. What is a central angle?
y = (x + 5)/2
Ab+ac
A central angle is an angle formed by 2 radii.
Ø

38. What are the members or elements of a set?
x^(4+7) = x^11
87.5%
The objects within a set.
The overlapping sections.

39. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
A chord is a line segment joining two points on a circle.
Distance=rate×time or d=rt
All numbers multiples of 1.

40. What is the 'Solution' for a set of inequalities.
1/x
(pi)r²
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.)
The overlapping sections.

41. Ø is a multiple of
1
20.5
Every number
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

42. What is an arc of a circle?
Even
2sqrt6
An arc is a portion of a circumference of a circle.
180°

43. When multiplying exponential #s with the same base - you do this to the exponents...
P(E) = 1/1 = 1
A-b is positive
Add them. i.e. (5^7) * (5^3) = 5^10
1

44. To multiply a number by 10^x
Move the decimal point to the right x places
(distance)/(rate) d/r
1
Ø

45. The Denominator can never
27
Ab-ac
26
Be Zero!

46. Legs: 3 - 4. Hypotenuse?
5
Factors are few - multiples are many.
P= 2L + 2w
x²+2xy+y²

47. Solve the quadratic equation ax^2 + bx + c= 0
Be Zero!
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The objects within a set.
3

48. What is an isoceles triangle?
360°
Two equal sides and two equal angles.
12! / 5!7! = 792
70

49. The product of odd number of negative numbers
x²-2xy+y²
The shortest arc between points A and B on a circle'S diameter.
Negative
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.

50. What percent of 40 is 22?
Ø
55%
(distance)/(rate) d/r
8