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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. The negative exponent x?n is equivalent to what?
61 - 67
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
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)
= (actual decrease/Original amount) x 100%

2. A number is divisible by 6 if...
3
Its divisible by 2 and by 3.
V=side³
Ø

3. Simplify 9^(1/2) X 4^3 X 2^(-6)?
A reflection about the origin.
3
V=side³
360/n

4. What is the maximum value for the function g(x) = (-2x^2) -1?
Every number
1
An expression with just one term (-6x - 2a^2)
x^(6-3) = x^3

5. factored binomial product of (x+y)²
The union of A and B.
x²+2xy+y²
70
12sqrt2

6. What is the set of elements which can be found in either A or B?
The union of A and B.
x - x(SR3) - 2x
P=2(l+w)
= (actual decrease/Original amount) x 100%

7. Evaluate 4/11 + 11/12
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
P=2(l+w)
(length)(width)(height)
1 & 37/132

8. 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?
(2x7)³
10! / (10-3)! = 720
Move the decimal point to the right x places
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

9. 30 60 90
1 & 37/132
The second graph is less steep.
5 - 12 - 13
31 - 37

10. (x-y)²
41 - 43 - 47
288 (8 9 4)
x²-2xy+y²
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

11. 50 < all primes< 60
53 - 59
Straight Angle
Indeterminable.
V=side³

12. A quadrilateral where two diagonals bisect each other
1.7
Parallelogram
72
A-b is negative

13. In a rectangle - all angles are
Right
y/x is a constant
D/t (distance)/(time)
(a - b)^2

14. Write 10 -843 X 10^7 in scientific notation
The set of elements which can be found in either A or B.
1.0843 X 10^11
Pi is the ratio of a circle'S circumference to its diameter.
1 & 37/132

15. factored binomial product of (x-y)²
Sum of digits is a multiple of 3 and the last digit is even.
x²-2xy+y²
9 & 6/7
zero

16. Area of a rectangle
(a + b)^2
A = length x width
4.25 - 6 - 22
y = 2x^2 - 3

17. What are the real numbers?
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)
(p + q)/5
x²+2xy+y²
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

18. a^0 =
x²+2xy+y²
12sqrt2
1
y/x is a constant

19. How many multiples does a given number have?
Infinite.
5 OR -5
Its last two digits are divisible by 4.
x - x(SR3) - 2x

20. In a Rectangle - each angles measures
62.5%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
90°
(x+y)(x-y)

21. Probability of Event all cases
P=4s (s=side)
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)
Ø=P(E)=1
An angle which is supplementary to an interior angle.

22. If a is inversely porportional to b - what does it equal?
The longest arc between points A and B on a circle'S diameter.
Add them. i.e. (5^7) * (5^3) = 5^10
The point of intersection of the systems.
Ab=k (k is a constant)

23. Probability of an Event
V=Lwh
A=½bh
7 / 1000
P(E) = number of favorable outcomes/total number of possible outcomes

24. A prime number (or a prime)
An isosceles right triangle.
A natural number greater than 1 that has no positive divisors other than 1 and itself
x^(4+7) = x^11
angle that is greater than 90° but less than 180°

25. If a is negative and n is even then an is (positive or negative?)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A percent is a fraction whose denominator is 100.
An is positive
Right

26. What is a chord of a circle?
Edge³
A chord is a line segment joining two points on a circle.
83.333%
Indeterminable.

27. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
90°
P(E) = 1/1 = 1
180°

28. 1/Ø=null If a>b then
62.5%
The greatest value minus the smallest.
48
A<-b

29. How to recognize a # as a multiple of 4
6 : 1 : 2
A grouping of the members within a set based on a shared characteristic.
The shortest arc between points A and B on a circle'S diameter.
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.)

30. (x+y)²
28
x²+2xy+y²
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(2x7)³

31. The only number that is equal to its opposite
Ø Ø=Ø
Ab-ac
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(a - b)(a + b)

32. formula for distance problems
10
2 & 3/7
Distance=rate×time or d=rt
2.592 kg

33. Circumference of a circle
2(pi)r
Two equal sides and two equal angles.
Cd
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

34. What are congruent triangles?
EVEN
90°
Triangles with same measure and same side lengths.
Ø

35. What does scientific notation mean?
P(E) = ø
52
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The objects within a set.

36. A number is divisible by 9 if...
Diameter(Pi)
The sum of digits is divisible by 9.
x²+2xy+y²
Sum of digits is a multiple of 3 and the last digit is even.

37. -3²
Null
x²-y²
Positive
9

38. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
The set of elements found in both A and B.
(a - b)(a + b)
26

39. 40 < all primes<50
(2x7)³
5
41 - 43 - 47
A-b is negative

40. How many 3-digit positive integers are even and do not contain the digit 4?
Ø=P(E)=1
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Ø
288 (8 9 4)

41. To increase a number by x%
ODD number
P(E) = number of favorable outcomes/total number of possible outcomes
V=l×w×h
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

42. a/Ø
27
Null
The second graph is less steep.
The greatest value minus the smallest.

43. What is the 'union' of A and B?
360°
The set of elements which can be found in either A or B.
F(x) + c
3

44. Obtuse Angle
Yes - like radicals can be added/subtracted.
A-b is positive
The two xes after factoring.
angle that is greater than 90° but less than 180°

45. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
x²-y²
An isosceles right triangle.
M= (Y1-Y2)/(X1-X2)
Ø=P(E)=1

46. The objects in a set are called two names:
Members or elements
31 - 37
A = length x width
Null

47. 25/2³
Two angles whose sum is 180.
.0004809 X 10^11
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
2²

48. 8.84 / 5.2
4.25 - 6 - 22
16.6666%
1.7
180

49. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
12sqrt2
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
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.)
3

50. If a<b - then
A+c<b+c
A=(base)(height)
A tangent is a line that only touches one point on the circumference of a circle.
A = pi(r^2)