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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. Probability of an Event
Reciprocal
P(E) = number of favorable outcomes/total number of possible outcomes
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)
Indeterminable.

2. Define a 'Term' -
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)
9 & 6/7
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
2^9 / 2 = 256

3. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
26
Members or elements
52
20.5

4. 3 is the opposite of
An angle which is supplementary to an interior angle.
Ab=k (k is a constant)
A²+b²=c²
3

5. Describe the relationship between 3x^2 and 3(x - 1)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
V=Lwh
52
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

6. What is a tangent?
A percent is a fraction whose denominator is 100.
C=2 x pi x r OR pi x D
90°
A tangent is a line that only touches one point on the circumference of a circle.

7. If a is inversely porportional to b - what does it equal?
x²-2xy+y²
Distance=rate×time or d=rt
Ab=k (k is a constant)
Every number

8. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
26
x^(2(4)) =x^8 = (x^4)^2
10! / (10-3)! = 720

9. 60 < all primes <70
(x+y)(x+y)
V=Lwh
ODD number
61 - 67

10. Ø is
The sum of the digits is a multiple of 9.
Even
53 - 59
The steeper the slope.

11. Formula to find a circle'S circumference from its diameter?
18
x²-y²
C = (pi)d
6

12. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
180 degrees
... the square of the ratios of the corresponding sides.
$11 -448
441000 = 1 10 10 10 21 * 21

13. 1/8 in percent?
28. n = 8 - k = 2. n! / k!(n-k)!
D/t (distance)/(time)
12.5%
an angle that is less than 90°

14. a/Ø
360°
Null
The longest arc between points A and B on a circle'S diameter.
Add them. i.e. (5^7) * (5^3) = 5^10

15. Volume of a rectangular solid
Reciprocal
(amount of decrease/original price) x 100%
(length)(width)(height)
V=l×w×h

16. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
1 & 37/132
26
1/2 times 7/3

17. If y is directly proportional to x - what does it equal?
y/x is a constant
5 - 12 - 13
1/2 times 7/3
1

18. How to determine percent decrease?
x - x(SR3) - 2x
A natural number greater than 1 that has no positive divisors other than 1 and itself
(amount of decrease/original price) x 100%
1

19. 25+2³
9 : 25
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
28
1

20. a^2 - b^2 =
2 & 3/7
28
Pi(diameter)
(a - b)(a + b)

21. b¹
16.6666%
A central angle is an angle formed by 2 radii.
1
Even

22. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
An expression with just one term (-6x - 2a^2)
10
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A reflection about the axis.

23. If E is certain
y/x is a constant
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
P(E) = 1/1 = 1

24. 25^(1/2) or sqrt. 25 =
= (actual decrease/Original amount) x 100%
5 OR -5
x(x - y + 1)
(x+y)(x+y)

25. Area of a rectangle
2
Every number
A = length x width
x - x+1 - x+2

26. What is the side length of an equilateral triangle with altitude 6?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
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...
2
1

27. Find the surface area of a cylinder with radius 3 and height 12.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Lies opposite the greater angle
90pi
F(x) - c

28. How to recognize a multiple of 6
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.
Sum of digits is a multiple of 3 and the last digit is even.
Add them. i.e. (5^7) * (5^3) = 5^10
Relationship cannot be determined (what if x is negative?)

29. a^2 + 2ab + b^2
(a + b)^2
(amount of decrease/original price) x 100%
23 - 29
Triangles with same measure and same side lengths.

30. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Positive
x - x+1 - x+2
9 & 6/7
1

31. 7 divided by Ø
1
M
P(E) = ø
Null

32. What are complementary angles?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
an angle that is less than 90°
x²+2xy+y²
Two angles whose sum is 90.

33. formula for area of a triangle
A=½bh
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
V=Lwh
A=(base)(height)

34. One is (a prime or not?)
The point of intersection of the systems.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
NOT A PRIME
x²+2xy+y²

35. Area of a circle
Its last two digits are divisible by 4.
Ø
A=pi*(r^2)
An is positive

36. Can you add sqrt 3 and sqrt 5?
All numbers multiples of 1.
.0004809 X 10^11
y2-y1/x2-x1
No - only like radicals can be added.

37. The sum of all angles around a point
2sqrt6
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.)
360°
28

38. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Even
8
10! / 3!(10-3)! = 120
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...

39. (12sqrt15) / (2sqrt5) =
A set with no members - denoted by a circle with a diagonal through it.
The sum of the digits is a multiple of 9.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
P=2(l+w)

40. 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?
52
20.5
360°
9

41. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
1:sqrt3:2
No - only like radicals can be added.
4725
6

42. 6w^2 - w - 15 = 0
A subset.
The sum of its digits is divisible by 3.
Triangles with same measure and same side lengths.
3/2 - 5/3

43. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
P=4s (s=side)
13pi / 2
N! / (n-k)!

44. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
180 degrees
9 & 6/7
72
10! / (10-3)! = 720

45. To increase a number by x%
A multiple of every integer
An expression with just one term (-6x - 2a^2)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
5

46. What are the members or elements of a set?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The objects within a set.
F(x) + c
180

47. If a product of two numbers is Ø - one number must be
2²
1
Ø
9 & 6/7

48. In a Regular Polygon - the measure of each exterior angle
B?b?b (where b is used as a factor n times)
12.5%
360/n
y2-y1/x2-x1

49. 40 < all primes<50
A multiple of every integer
A<-b
41 - 43 - 47
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...

50. 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 sum of the digits is a multiple of 9.
52
1/x