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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. 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
4a^2(b)
Diameter(Pi)
C = (pi)d

2. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
72
(x+y)(x+y)
4.25 - 6 - 22
A grouping of the members within a set based on a shared characteristic.

3. Formula for the area of a circle?
The steeper the slope.
2.592 kg
Ø=P(E)=1
A = pi(r^2)

4. Volume of a rectangular solid
A natural number greater than 1 that has no positive divisors other than 1 and itself
(length)(width)(height)
An infinite set.
Diameter(Pi)

5. Perimeter of a rectangle
Factors are few - multiples are many.
The set of elements found in both A and B.
P= 2L + 2w
Infinite.

6. 60 < all primes <70
61 - 67
180
C=2 x pi x r OR pi x D
441000 = 1 10 10 10 21 * 21

7. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
Reciprocal
An infinite set.
(n-2) x 180

8. Find distance when given time and rate
Ø Ø=Ø
... the square of the ratios of the corresponding sides.
D=rt so r= d/t and t=d/r
Null

9. Distance
(rate)(time) d=rt
F(x) + c
3
The shortest arc between points A and B on a circle'S diameter.

10. a(b+c)
Ab+ac
(length)(width)(height)
8
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

11. x^2 = 9. What is the value of x?
3 - -3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
zero
Every number

12. What is the slope of a horizontal line?
0
Ab-ac
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)
D/t (distance)/(time)

13. What are the irrational numbers?

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14. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
An isosceles right triangle.
Ab=k (k is a constant)
Negative
2

15. binomial product of (x+y)(x-y)
Diameter(Pi)
x²-y²
62.5%
The set of input values for a function.

16. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
26
3
A reflection about the axis.
Triangles with same measure and same side lengths.

17. How to recognize a # as a multiple of 4
A set with a number of elements which can be counted.
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.)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Undefined

18. (12sqrt15) / (2sqrt5) =
Distance=rate×time or d=rt
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
2²
1:1:sqrt2

19. How to recognize if a # is a multiple of 12
12.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The two xes after factoring.
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.)

20. Probability of Event all cases
Two angles whose sum is 90.
90
The sum of the digits is a multiple of 9.
Ø=P(E)=1

21. 25+2³
48
$3 -500 in the 9% and $2 -500 in the 7%.
28
1

22. Find the surface area of a cylinder with radius 3 and height 12.
.0004809 X 10^11
3
x²+2xy+y²
90pi

23. What is the 'Range' of a function?
10! / (10-3)! = 720
Even
The set of output values for a function.
75:11

24. In a Rectangle - each angles measures
37.5%
90°
X
No - only like radicals can be added.

25. What is an isoceles triangle?
Two equal sides and two equal angles.
x^(4+7) = x^11
A set with no members - denoted by a circle with a diagonal through it.
A chord is a line segment joining two points on a circle.

26. 25^(1/2) or sqrt. 25 =
180
Infinite.
The empty set - denoted by a circle with a diagonal through it.
5 OR -5

27. What is the intersection of A and B?
The longest arc between points A and B on a circle'S diameter.
The set of elements found in both A and B.
Ø
Straight Angle

28. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
(amount of decrease/original price) x 100%
2 & 3/7
Reciprocal

29. Probability of an Event
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
P(E) = number of favorable outcomes/total number of possible outcomes
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

30. The sum of all angles around a point
The objects within a set.
The empty set - denoted by a circle with a diagonal through it.
360°
23 - 29

31. Define a 'monomial'
P=2(l+w)
1
An expression with just one term (-6x - 2a^2)
360°

32. 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
1
A = pi(r^2)
V=l×w×h

33. Circumference of a circle
Even
2(pi)r
8
P(E) = ø

34. If a lamp increases from $80 to $100 - what is the percent increase?
Two (Ø×2=Ø)
A percent is a fraction whose denominator is 100.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
An is positive

35. How do you solve proportions? a/b=c/d
Pi is the ratio of a circle'S circumference to its diameter.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
90°

36. If a<b - then
27
A set with a number of elements which can be counted.
(rate)(time) d=rt
A+c<b+c

37. Legs 5 - 12. Hypotenuse?
P=2(l+w)
13
(a - b)(a + b)
27^(-4)

38. The negative exponent x?n is equivalent to what?
A-b is positive
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
F(x) - c
441000 = 1 10 10 10 21 * 21

39. 8.84 / 5.2
Sector area = (n/360) X (pi)r^2
288 (8 9 4)
A subset.
1.7

40. 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)!
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The sum of digits is divisible by 9.
x²-y²

41. A quadrilateral where two diagonals bisect each other
An is positive
Parallelogram
Diameter(Pi)
(a - b)^2

42. Product of any number and Ø is
Ø
P=2(l+w)
(pi)r²
A multiple of every integer

43. Area of a rectangle
A = length x width
10
The interesection of A and B.
The longest arc between points A and B on a circle'S diameter.

44. To increase a number by x%
y2-y1/x2-x1
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Pi is the ratio of a circle'S circumference to its diameter.
10! / (10-3)! = 720

45. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
No - only like radicals can be added.
A 30-60-90 triangle.
Add them. i.e. (5^7) * (5^3) = 5^10

46. factored binomial product of (x+y)²
(x+y)(x+y)
Ø
Even
x²+2xy+y²

47. How to recognize a multiple of 6
A chord is a line segment joining two points on a circle.
90
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Sum of digits is a multiple of 3 and the last digit is even.

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?
Even
52
A reflection about the axis.
4:5

49. Whats the difference between factors and multiples?
Null
Factors are few - multiples are many.
1/a^6
1

50. The sum of the angles in a quadrilateral is
x - x(SR3) - 2x
360°
Smallest positive integer
1 - P(E)