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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. 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)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
4.25 - 6 - 22
V=l×w×h
(distance)/(rate) d/r

2. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Ø
180
(2x7)³

3. 4.809 X 10^7 =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
.0004809 X 10^11
C = 2(pi)r
NOT A PRIME

4. (x+y)²
13pi / 2
C=2 x pi x r OR pi x D
Ø
x²+2xy+y²

5. formula for area of a triangle
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.
130pi
A=½bh
= (actual decrease/Original amount) x 100%

6. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
An angle which is supplementary to an interior angle.
C = 2(pi)r

7. (6sqrt3) x (2sqrt5) =
180 degrees
Two (Ø×2=Ø)
12! / 5!7! = 792
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

8. How to determine percent decrease?
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.
4:5
Ø
(amount of decrease/original price) x 100%

9. 30 60 90
A=½bh
9 : 25
3 - 4 - 5
(length)(width)(height)

10. What is the name for a grouping of the members within a set based on a shared characteristic?
... the square of the ratios of the corresponding sides.
A subset.
x²+2xy+y²
1 - P(E)

11. What are the roots of the quadrinomial x^2 + 2x + 1?
Reciprocal
The two xes after factoring.
7 / 1000
True

12. Evaluate 4/11 + 11/12
P=4s (s=side)
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/x
1 & 37/132

13. a(b-c)
A= (1/2) b*h
13
An is positive
Ab-ac

14. Slope of any line that goes up from left to right
Pi is the ratio of a circle'S circumference to its diameter.
.0004809 X 10^11
41 - 43 - 47
Positive

15. If a lamp increases from $80 to $100 - what is the percent increase?
31 - 37
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A tangent is a line that only touches one point on the circumference of a circle.
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.

16. What is a minor arc?

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17. When dividing exponential #s with the same base - you do this to the exponents...
(a + b)^2
Subtract them. i.e (5^7)/(5^3)= 5^4
62.5%
Diameter(Pi)

18. When multiplying exponential #s with the same base - you do this to the exponents...
X
Add them. i.e. (5^7) * (5^3) = 5^10
2 & 3/7
2

19. What is a major arc?

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20. A number is divisible by 4 is...
Its last two digits are divisible by 4.
Reciprocal
angle that is greater than 90° but less than 180°
x - x(SR3) - 2x

21. (a^-1)/a^5
28
1/a^6
41 - 43 - 47
Positive

22. the slope of a line in y=mx+b
M
3
Distance=rate×time or d=rt
x²-y²

23. 60 < all primes <70
Members or elements
The set of elements found in both A and B.
61 - 67
11 - 13 - 17 - 19

24. How to recognize if a # is a multiple of 12
x²+2xy+y²
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.)
18
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

25. 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)
Null
A+c<b+c
A²+b²=c²

26. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
90pi
180°
y = (x + 5)/2

27. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
y/x is a constant
288 (8 9 4)
V=l×w×h

28. Consecutive integers
x - x+1 - x+2
... the square of the ratios of the corresponding sides.
.0004809 X 10^11
441000 = 1 10 10 10 21 * 21

29. What is the graph of f(x) shifted downward c units or spaces?
(amount of decrease/original price) x 100%
180°
10
F(x) - c

30. The product of odd number of negative numbers
(2x7)³
The set of elements which can be found in either A or B.
Negative
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.)

31. First 10 prime #s
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(length)(width)(height)

32. 3/8 in percent?
P=2(l+w)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The empty set - denoted by a circle with a diagonal through it.
37.5%

33. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
Arc length = (n/360) x pi(2r) where n is the number of degrees.
No - only like radicals can be added.
EVEN

34. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
72
6
2.592 kg
N! / (k!)(n-k)!

35. What percent of 40 is 22?
Even prime number
23 - 29
55%
1/x

36. To decrease a number by x%
A=(base)(height)
Positive
(2x7)³
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

37. 30 60 90
26
Ab=k (k is a constant)
Ø=P(E)=1
3x - 4x - 5x

38. Distance
1/a^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.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(rate)(time) d=rt

39. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Ø
180°
Even

40. Simplify the expression (p^2 - q^2)/ -5(q - p)
180 degrees
(p + q)/5
A reflection about the axis.
x²+2xy+y²

41. factored binomial product of (x+y)²
A²+b²=c²
V=Lwh
72
x²+2xy+y²

42. Vertical lines
2 & 3/7
$3 -500 in the 9% and $2 -500 in the 7%.
Null
Do not have slopes!

43. What are the rational numbers?
10! / (10-3)! = 720
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x - x+1 - x+2

44. 70 < all primes< 80
A²+b²=c²
1/x
71 - 73 - 79
4096

45. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
A=pi*(r^2)
Undefined - because we can'T divide by 0.
360°

46. The Denominator can never
M= (Y1-Y2)/(X1-X2)
4096
Ab-ac
Be Zero!

47. To increase a number by x%
A<-b
6 : 1 : 2
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
1

48. Dividing by a number is the same as multiplying it by its
Reciprocal
A set with a number of elements which can be counted.
1
No - only like radicals can be added.

49. The percent decrease of a quantity
The set of elements found in both A and B.
A²+b²=c²
= (actual decrease/Original amount) x 100%
D/t (distance)/(time)

50. The reciprocal of any non-zero number is
1/x
9
The set of elements found in both A and B.
(a - b)(a + b)