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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. 3/8 in percent?
37.5%
A set with a number of elements which can be counted.
52
1

2. If a lamp increases from $80 to $100 - what is the percent increase?
Parallelogram
P(E) = ø
The objects within a set.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

3. How to determine percent decrease?
an angle that is less than 90°
(amount of decrease/original price) x 100%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
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

4. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/x
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.
7 / 1000

5. Formula to calculate arc length?
A-b is positive
Arc length = (n/360) x pi(2r) where n is the number of degrees.
X
y = 2x^2 - 3

6. The sum of all angles around a point
1/2 times 7/3
A=(base)(height)
2
360°

7. What is the 'Solution' for a system of linear equations?
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.
28. n = 8 - k = 2. n! / k!(n-k)!
M
The point of intersection of the systems.

8. Acute Angle
an angle that is less than 90°
10
1
An infinite set.

9. -3³
Two (Ø×2=Ø)
27
A²+b²=c²
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

10. When dividing exponential #s with the same base - you do this to the exponents...
(x+y)(x+y)
Ø=P(E)=1
55%
Subtract them. i.e (5^7)/(5^3)= 5^4

11. To increase a number by x%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(b + c)
1/a^6
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

12. 7/8 in percent?
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)
The set of input values for a function.
87.5%
y2-y1/x2-x1

13. Volume of a rectangular solid
x(x - y + 1)
5 OR -5
(length)(width)(height)
9

14. x^2 = 9. What is the value of x?
3 - -3
x^(6-3) = x^3
10! / 3!(10-3)! = 120
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

15. Area of a Parallelogram:
A=(base)(height)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Negative
C = 2(pi)r

16. 2³×7³
1
2
(2x7)³
5

17. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
(a - b)(a + b)
2^9 / 2 = 256
Null
87.5%

18. The percent decrease of a quantity
P=4s (s=side)
M= (Y1-Y2)/(X1-X2)
D=rt so r= d/t and t=d/r
= (actual decrease/Original amount) x 100%

19. Can you add sqrt 3 and sqrt 5?
An infinite set.
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
No - only like radicals can be added.
The set of elements found in both A and B.

20. Formula to find a circle'S circumference from its diameter?
C = (pi)d
5
3 - 4 - 5
C=2 x pi x r OR pi x D

21. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
Its divisible by 2 and by 3.
20.5
Infinite.

22. What is the name for a grouping of the members within a set based on a shared characteristic?
41 - 43 - 47
(a - b)(a + b)
Its divisible by 2 and by 3.
A subset.

23. What is a tangent?
70
A grouping of the members within a set based on a shared characteristic.
A tangent is a line that only touches one point on the circumference of a circle.
C = (pi)d

24. Whats the difference between factors and multiples?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Factors are few - multiples are many.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
67 - 71 - 73

25. 1/2 divided by 3/7 is the same as
1/2 times 7/3
360°
x^(2(4)) =x^8 = (x^4)^2
x²-y²

26. b¹
1
A= (1/2) b*h
Distance=rate×time or d=rt
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

27. a^2 - b^2 =
8
(a - b)(a + b)
The two xes after factoring.
A set with a number of elements which can be counted.

28. 50 < all primes< 60
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
53 - 59
V=l×w×h
4:5

29. If a<b - then
2 & 3/7
D/t (distance)/(time)
A+c<b+c
The shortest arc between points A and B on a circle'S diameter.

30. Simplify 9^(1/2) X 4^3 X 2^(-6)?
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
Pi(diameter)
X
3

31. A quadrilateral where two diagonals bisect each other
Parallelogram
EVEN
A+c<b+c
Ø

32. Factor x^2 - xy + x.
x(x - y + 1)
1
A = pi(r^2)
Ab+ac

33. To multiply a number by 10^x
3x - 4x - 5x
Move the decimal point to the right x places
(n-2) x 180
Undefined

34. What does scientific notation mean?
13
A+c<b+c
A = length x width
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

35. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
20.5
A set with no members - denoted by a circle with a diagonal through it.
A reflection about the origin.
90

36. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
48
An angle which is supplementary to an interior angle.
55%

37. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
N! / (k!)(n-k)!
(pi)r²
The sum of the digits is a multiple of 9.

38. If a is inversely porportional to b - what does it equal?
C=2 x pi x r OR pi x D
Ab=k (k is a constant)
Two equal sides and two equal angles.
53 - 59

39. Reduce: 4.8 : 0.8 : 1.6
The point of intersection of the systems.
Ø
3 - -3
6 : 1 : 2

40. 8.84 / 5.2
31 - 37
The set of elements found in both A and B.
Smallest positive integer
1.7

41. 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)!
Null
The sum of its digits is divisible by 3.
Two equal sides and two equal angles.

42. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
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
180
An isosceles right triangle.

43. 7 divided by Ø
0
360°
(p + q)/5
Null

44. 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?
N! / (k!)(n-k)!
C = (pi)d
P(E) = number of favorable outcomes/total number of possible outcomes
500

45. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
3
Every number
(a - b)^2

46. The product of odd number of negative numbers
The point of intersection of the systems.
Negative
3
90°

47. 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?
4a^2(b)
10! / 3!(10-3)! = 120
6 : 1 : 2
75:11

48. 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?
1
... the square of the ratios of the corresponding sides.
The direction of the inequality is reversed.
2.592 kg

49. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
The sum of its digits is divisible by 3.
An isosceles right triangle.
x(x - y + 1)

50. Ø is
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A=½bh
Even
(p + q)/5