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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. formula for volume of a rectangular solid
V=l×w×h
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)
Sector area = (n/360) X (pi)r^2
Ab=k (k is a constant)

2. 1n
90pi
1
3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

3. 30 60 90
Move the decimal point to the right x places
(a - b)(a + b)
V=l×w×h
3 - 4 - 5

4. One is (a prime or not?)
9 & 6/7
NOT A PRIME
Factors are few - multiples are many.
1.0843 X 10^11

5. (x-y)²
Ab=k (k is a constant)
A natural number greater than 1 that has no positive divisors other than 1 and itself
x²-2xy+y²
1/2 times 7/3

6. The Perimeter of a Square
1
Add them. i.e. (5^7) * (5^3) = 5^10
P=4s (s=side)
All numbers multiples of 1.

7. Any Horizontal line slope
Negative
zero
12.5%
Smallest positive integer

8. What are the rational numbers?
An expression with just one term (-6x - 2a^2)
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.)
y2-y1/x2-x1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

9. Which is greater? 27^(-4) or 9^(-8)
x(x - y + 1)
A<-b
27^(-4)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

10. 0^0
90°
Its divisible by 2 and by 3.
Undefined
All numbers multiples of 1.

11. The product of any number x and its reciprocal
The objects within a set.
1
Undefined
(rate)(time) d=rt

12. Circumference of a circle?
Diameter(Pi)
The sum of the digits is a multiple of 9.
Positive or Negative
A reflection about the axis.

13. What does scientific notation mean?
A= (1/2) b*h
Distance=rate×time or d=rt
zero
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

14. 1/6 in percent?
16.6666%
90°
Ab=k (k is a constant)
y = (x + 5)/2

15. Circumference of a Circle
4a^2(b)
Move the decimal point to the right x places
C=2 x pi x r OR pi x D
A²+b²=c²

16. What are congruent triangles?
4a^2(b)
x - x(SR3) - 2x
The overlapping sections.
Triangles with same measure and same side lengths.

17. What is the maximum value for the function g(x) = (-2x^2) -1?
Add them. i.e. (5^7) * (5^3) = 5^10
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)
1
Ø

18. What is an exterior angle?
70
An angle which is supplementary to an interior angle.
Straight Angle
1/x

19. Consecutive integers
V=l×w×h
Infinite.
x - x+1 - x+2
1/x

20. The Perimeter of a rectangle
P=2(l+w)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
The sum of its digits is divisible by 3.
67 - 71 - 73

21. Slope given 2 points
(distance)/(rate) d/r
Distance=rate×time or d=rt
P(E) = 1/1 = 1
M= (Y1-Y2)/(X1-X2)

22. What percent of 40 is 22?
x^(6-3) = x^3
55%
360/n
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

23. Can you simplify sqrt72?
x - x(SR3) - 2x
31 - 37
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
62.5%

24. To decrease a number by x%
= (actual decrease/Original amount) x 100%
Null
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
10

25. the slope of a line in y=mx+b
7 / 1000
A set with a number of elements which can be counted.
Distance=rate×time or d=rt
M

26. (x+y)²
EVEN
x²+2xy+y²
1:sqrt3:2
1

27. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
Sector area = (n/360) X (pi)r^2
x²+2xy+y²
The steeper the slope.

28. 1 is the
360°
Smallest positive integer
A set with a number of elements which can be counted.
10! / (10-3)! = 720

29. Describe the relationship between 3x^2 and 3(x - 1)^2
C = (pi)d
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
NOT A PRIME
y = (x + 5)/2

30. 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))?
Indeterminable.
4:5
20.5
Reciprocal

31. The sum of the measures of the n angles in a polygon with n sides
D/t (distance)/(time)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(n-2) x 180
Two angles whose sum is 90.

32. Simplify the expression [(b^2 - c^2) / (b - c)]
3
4a^2(b)
True
(b + c)

33. factored binomial product of (x+y)²
P(E) = ø
x²-y²
x²+2xy+y²
1/x

34. What is a set with no members called?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
y2-y1/x2-x1
1.0843 X 10^11
The empty set - denoted by a circle with a diagonal through it.

35. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Add them. i.e. (5^7) * (5^3) = 5^10
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
90
A multiple of every integer

36. Define a 'Term' -
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)
Two angles whose sum is 180.
Pi(diameter)
(b + c)

37. In a Rectangle - each angles measures
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
90°
0

38. 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?
y = (x + 5)/2
4a^2(b)
3
52

39. First 10 prime #s
31 - 37
1/x
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The two xes after factoring.

40. How to recognize a # as a multiple of 3
Edge³
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)
180 degrees
Members or elements

41. Circumference of a circle
Pi(diameter)
1/x
4.25 - 6 - 22
1

42. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
10! / (10-3)! = 720
Positive
Edge³
75:11

43. Evaluate 3& 2/7 / 1/3
Triangles with same measure and same side lengths.
2
Indeterminable.
9 & 6/7

44. 3/8 in percent?
The steeper the slope.
Even
37.5%
6 : 1 : 2

45. Pythagorean theorem
A²+b²=c²
D/t (distance)/(time)
A subset.
M= (Y1-Y2)/(X1-X2)

46. The reciprocal of any non-zero #x is
V=l×w×h
70
A+c<b+c
1/x

47. 25^(1/2) or sqrt. 25 =
12sqrt2
130pi
Smallest positive integer
5 OR -5

48. Area of a triangle?
(base*height) / 2
6
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.)
(2x7)³

49. How to recognize if a # is a multiple of 12
0
20.5
Smallest positive integer
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.)

50. formula for distance problems
Distance=rate×time or d=rt
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A = pi(r^2)
y = (x + 5)/2