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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. Circumference of a circle
3
an angle that is less than 90°
Ø=P(E)=1
2(pi)r

2. Area of a rectangle
Edge³
A = length x width
Do not have slopes!
A 30-60-90 triangle.

3. What are congruent triangles?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Triangles with same measure and same side lengths.
1
The two xes after factoring.

4. Ø Is neither
an angle that is less than 90°
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
27^(-4)
Positive or Negative

5. The perimeter of a square is 48 inches. The length of its diagonal is:
72
360°
1/2 times 7/3
12sqrt2

6. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
$11 -448
M= (Y1-Y2)/(X1-X2)
13

7. Legs 5 - 12. Hypotenuse?
180 degrees
180°
13
Positive

8. What is a percent?
6 : 1 : 2
A percent is a fraction whose denominator is 100.
1
3 - -3

9. Number of degrees in a triangle
The longest arc between points A and B on a circle'S diameter.
180
2.592 kg
20.5

10. In a Regular Polygon - the measure of each exterior angle
72
A-b is positive
360/n
Distance=rate×time or d=rt

11. What is an isoceles triangle?
Two equal sides and two equal angles.
(x+y)(x+y)
28. n = 8 - k = 2. n! / k!(n-k)!
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

12. binomial product of (x+y)(x-y)
X
x²-y²
500
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

13. 25+2³
28
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Infinite.
The second graph is less steep.

14. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The empty set - denoted by a circle with a diagonal through it.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
P(E) = ø
8

15. -3²
9
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
1 - P(E)
1/2 times 7/3

16. If E is certain
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
Every number
P(E) = 1/1 = 1
(a - b)^2

17. 60 < all primes <70
70
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Negative
61 - 67

18. formula for the volume of a cube
6
V=side³
500
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

19. The larger the absolute value of the slope...
The steeper the slope.
3 - 4 - 5
Negative
All numbers multiples of 1.

20. What is a subset?
A grouping of the members within a set based on a shared characteristic.
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)
2.592 kg
2(pi)r

21. Reduce: 4.8 : 0.8 : 1.6
70
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
6 : 1 : 2
13

22. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
180
$11 -448
2(pi)r

23. Ø divided by 7
Ø
x²-y²
52
71 - 73 - 79

24. What are the irrational numbers?

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25. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
x²+2xy+y²
N! / (n-k)!
61 - 67

26. 30 60 90
0
3 - 4 - 5
A percent is a fraction whose denominator is 100.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

27. If the two sides of a triangle are unequal then the longer side.................
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Lies opposite the greater angle
3 - 4 - 5
V=side³

28. 6w^2 - w - 15 = 0
The point of intersection of the systems.
52
4:5
3/2 - 5/3

29. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
28. n = 8 - k = 2. n! / k!(n-k)!
A reflection about the origin.
10! / (10-3)! = 720
1

30. The objects in a set are called two names:
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
11 - 13 - 17 - 19
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Members or elements

31. What is a major arc?

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32. Legs: 3 - 4. Hypotenuse?
x^(4+7) = x^11
180
The interesection of A and B.
5

33. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
The set of output values for a function.
2²
1.7
18

34. If a product of two numbers is Ø - one number must be
Two angles whose sum is 180.
A central angle is an angle formed by 2 radii.
Ø
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

35. When multiplying exponential #s with the same base - you do this to the exponents...
A reflection about the axis.
Add them. i.e. (5^7) * (5^3) = 5^10
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
5 - 12 - 13

36. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
180°
Ø=P(E)=1
1

37. Probability of an Event
1
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
P(E) = number of favorable outcomes/total number of possible outcomes
31 - 37

38. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
An angle which is supplementary to an interior angle.
1/x
180 degrees
2

39. What is the surface area of a cylinder with radius 5 and height 8?
130pi
An is positive
1
Negative

40. What is an exterior angle?
EVEN
An angle which is supplementary to an interior angle.
28. n = 8 - k = 2. n! / k!(n-k)!
An expression with just one term (-6x - 2a^2)

41. What is the set of elements which can be found in either A or B?
The sum of its digits is divisible by 3.
zero
The union of A and B.
2sqrt6

42. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
x(x - y + 1)
x^(6-3) = x^3
75:11

43. 10^6 has how many zeroes?
Ab-ac
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
6
Yes - like radicals can be added/subtracted.

44. What are the members or elements of a set?
500
Negative
C = 2(pi)r
The objects within a set.

45. 5/8 in percent?
62.5%
x²-y²
180°
Null

46. 50 < all primes< 60
(p + q)/5
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)
53 - 59
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.

47. a^2 - b^2 =
360°
y2-y1/x2-x1
A central angle is an angle formed by 2 radii.
(a - b)(a + b)

48. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
Reciprocal
52
5
F(x) + c

49. binomial product of (x+y)²
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.
(x+y)(x+y)
A percent is a fraction whose denominator is 100.
The sum of the digits is a multiple of 9.

50. (6sqrt3) x (2sqrt5) =
Do not have slopes!
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The empty set - denoted by a circle with a diagonal through it.
Parallelogram