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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. Define an 'expression'.
Null
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
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)
1 & 37/132

2. a^2 - b^2 =
x²+2xy+y²
(a - b)(a + b)
5 - 12 - 13
Every number

3. 1n
1
Diameter(Pi)
Its divisible by 2 and by 3.
Ø

4. formula for volume of a rectangular solid
F(x + c)
A tangent is a line that only touches one point on the circumference of a circle.
X
V=l×w×h

5. Area of a triangle
A-b is positive
A= (1/2) b*h
1:sqrt3:2
An arc is a portion of a circumference of a circle.

6. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
Even prime number
Infinite.
F(x + c)

7. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
The set of elements found in both A and B.
18
180°
12! / 5!7! = 792

8. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
N! / (n-k)!
x^(6-3) = x^3
$3 -500 in the 9% and $2 -500 in the 7%.
Even prime number

9. The sum of all angles around a point
The interesection of A and B.
360°
x(x - y + 1)
Undefined - because we can'T divide by 0.

10. What is the intersection of A and B?
The set of elements found in both A and B.
180
An is positive
A reflection about the origin.

11. If y is directly proportional to x - what does it equal?
The greatest value minus the smallest.
y/x is a constant
9 & 6/7
Do not have slopes!

12. b¹
1
All numbers multiples of 1.
3 - -3
9 : 25

13. What is the ratio of the sides of an isosceles right triangle?
Do not have slopes!
1:1:sqrt2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1

14. What is an arc of a circle?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
x - x(SR3) - 2x
3 - -3
An arc is a portion of a circumference of a circle.

15. Is 0 even or odd?
1/a^6
Even
4.25 - 6 - 22
A = length x width

16. What is the graph of f(x) shifted right c units or spaces?
360/n
F(x-c)
11 - 13 - 17 - 19
A reflection about the axis.

17. Find distance when given time and rate
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)
D=rt so r= d/t and t=d/r
9 : 25
x^(6-3) = x^3

18. Volume of a rectangular solid
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
(length)(width)(height)
D=rt so r= d/t and t=d/r
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

19. 25+2³
61 - 67
28
Parallelogram
4096

20. 7 divided by Ø
180°
180°
2 & 3/7
Null

21. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
A²+b²=c²
13pi / 2
y/x is a constant
10! / 3!(10-3)! = 120

22. If a<b - then
1
3 - -3
Ab=k (k is a constant)
A+c<b+c

23. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
Ab=k (k is a constant)
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.)
360°

24. 40 < all primes<50
V=side³
41 - 43 - 47
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)
53 - 59

25. 5x^2 - 35x -55 = 0
A grouping of the members within a set based on a shared characteristic.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
13pi / 2
48

26. Ø Is
EVEN
x²+2xy+y²
48
(b + c)

27. Factor x^2 - xy + x.
6
(2x7)³
3/2 - 5/3
x(x - y + 1)

28. The only number that is equal to its opposite
y = 2x^2 - 3
Ø Ø=Ø
Two (Ø×2=Ø)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

29. 1 is an
Pi is the ratio of a circle'S circumference to its diameter.
The overlapping sections.
ODD number
90

30. Slope given 2 points
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
M= (Y1-Y2)/(X1-X2)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
2

31. (x-y)(x+y)
x²-y²
A=(base)(height)
A = length x width
P(E) = number of favorable outcomes/total number of possible outcomes

32. How many multiples does a given number have?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
x²-2xy+y²
27
Infinite.

33. What is the order of operations?
67 - 71 - 73
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
12sqrt2

34. P and r are factors of 100. What is greater - pr or 100?
The direction of the inequality is reversed.
Indeterminable.
288 (8 9 4)
72

35. When does a function automatically have a restricted domain (2)?
A subset.
A-b is positive
1.0843 X 10^11
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

36. 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)!
.0004809 X 10^11
5
Undefined

37. What is a set with no members called?
75:11
The empty set - denoted by a circle with a diagonal through it.
41 - 43 - 47
A<-b

38. If an inequality is multiplied or divided by a negative number....
(x+y)(x+y)
(amount of decrease/original price) x 100%
The direction of the inequality is reversed.
1

39. What number between 70 & 75 - inclusive - has the greatest number of factors?
A = pi(r^2)
12.5%
53 - 59
72

40. Important properties of a 30-60-90 triangle?
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
87.5%
The overlapping sections.
Reciprocal

41. One is (a prime or not?)
NOT A PRIME
A<-b
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)
A grouping of the members within a set based on a shared characteristic.

42. Legs 6 - 8. Hypotenuse?
Positive
10
= (actual decrease/Original amount) x 100%
90pi

43. 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?
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)
75:11
Undefined - because we can'T divide by 0.
Positive or Negative

44. What is the name of set with a number of elements which cannot be counted?
.0004809 X 10^11
(a + b)^2
An infinite set.
1:sqrt3:2

45. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
90°
Pi(diameter)
An arc is a portion of a circumference of a circle.

46. 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?
3
2.592 kg
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.
(pi)r²

47. a/Ø
441000 = 1 10 10 10 21 * 21
500
Null
V=l×w×h

48. What is a minor arc?

49. If Event is impossible
20.5
True
P(E) = ø
2sqrt6

50. 10<all primes<20
ODD number
180 degrees
11 - 13 - 17 - 19
0