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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. 8.84 / 5.2
1.7
4:5
3x - 4x - 5x
Ø=P(E)=1

2. Pi is a ratio of what to what?

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3. Acute Angle
Ø Ø=Ø
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)
x²+2xy+y²
an angle that is less than 90°

4. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
A set with a number of elements which can be counted.
31 - 37
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

5. What are complementary angles?
y = (x + 5)/2
Two angles whose sum is 90.
The steeper the slope.
13

6. When does a function automatically have a restricted domain (2)?
(pi)r²
ODD number
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
x²-y²

7. Define an 'expression'.
A set with no members - denoted by a circle with a diagonal through it.
B?b?b (where b is used as a factor n times)
$3 -500 in the 9% and $2 -500 in the 7%.
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)

8. Perimeter of a rectangle
P= 2L + 2w
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
6
M= (Y1-Y2)/(X1-X2)

9. How to recognize a # as a multiple of 9
20.5
Ab-ac
The sum of the digits is a multiple of 9.
12! / 5!7! = 792

10. 2 is the only
Even prime number
9 : 25
5 - 12 - 13
Parallelogram

11. Ø divided by 7
The set of elements found in both A and B.
Members or elements
NOT A PRIME
Ø

12. 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?
X
67 - 71 - 73
75:11
6

13. Probability of E not occurring:
... the square of the ratios of the corresponding sides.
Every number
1 - P(E)
The union of A and B.

14. Find the surface area of a cylinder with radius 3 and height 12.
A subset.
1
C = 2(pi)r
90pi

15. What are the rational numbers?
9 : 25
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
P=2(l+w)
N! / (n-k)!

16. 1/Ø=null If a>b then
1 - P(E)
(a + b)^2
A<-b
Reciprocal

17. Evaluate 4/11 + 11/12
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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 & 37/132
180°

18. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A reflection about the axis.
Ø
1

19. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A tangent is a line that only touches one point on the circumference of a circle.
Null

20. x^6 / x^3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x^(6-3) = x^3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
P(E) = ø

21. 30< all primes<40
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)
Be Zero!
EVEN
31 - 37

22. If a<b - then
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Ø Ø=Ø
A+c<b+c
x²+2xy+y²

23. 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?
1
10! / (10-3)! = 720
A grouping of the members within a set based on a shared characteristic.
10

24. Distance
4.25 - 6 - 22
(rate)(time) d=rt
6
Negative

25. The consecutive angles in a parallelogram equal
180°
10! / (10-3)! = 720
(p + q)/5
1

26. What is the sum of the angles of a triangle?
90pi
180 degrees
Every number
The point of intersection of the systems.

27. Any Horizontal line slope
zero
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
(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.

28. the measure of a straight angle
Ø
180°
31 - 37
P(E) = ø

29. a^2 - 2ab + b^2
(x+y)(x-y)
(a - b)^2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Distance=rate×time or d=rt

30. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
Two (Ø×2=Ø)
83.333%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

31. 1 is an
Can be negative - zero - or positive
A subset.
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)
ODD number

32. (2²)³
26
55%
(x+y)(x-y)
NOT A PRIME

33. 5/8 in percent?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1 & 37/132
The shortest arc between points A and B on a circle'S diameter.
62.5%

34. What is the name of set with a number of elements which cannot be counted?
Subtract them. i.e (5^7)/(5^3)= 5^4
An infinite set.
4:5
130pi

35. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1 & 37/132
Triangles with same measure and same side lengths.

36. Which is greater? 27^(-4) or 9^(-8)
6 : 1 : 2
441000 = 1 10 10 10 21 * 21
The empty set - denoted by a circle with a diagonal through it.
27^(-4)

37. In a Regular Polygon - the measure of each exterior angle
x - x(SR3) - 2x
360/n
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)
x²-y²

38. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
A = pi(r^2)
1.0843 X 10^11
62.5%
13pi / 2

39. A quadrilateral where two diagonals bisect each other
Parallelogram
3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

40. Probability of Event all cases
288 (8 9 4)
441000 = 1 10 10 10 21 * 21
Ø=P(E)=1
70

41. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
28
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1 - P(E)

42. What are the real numbers?
62.5%
1
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)
90

43. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
An infinite set.
N! / (n-k)!
Smallest positive integer
28. n = 8 - k = 2. n! / k!(n-k)!

44. 3 is the opposite of
P=4s (s=side)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
3
A reflection about the axis.

45. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
28
Positive
441000 = 1 10 10 10 21 * 21
13pi / 2

46. Legs: 3 - 4. Hypotenuse?
5
A=pi*(r^2)
The direction of the inequality is reversed.
The empty set - denoted by a circle with a diagonal through it.

47. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
90
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Ø

48. Evaluate (4^3)^2
A multiple of every integer
4096
1.0843 X 10^11
A percent is a fraction whose denominator is 100.

49. Area of a Parallelogram:
x²-y²
1
A=(base)(height)
3 - 4 - 5

50. Ø²
2^9 / 2 = 256
Subtract them. i.e (5^7)/(5^3)= 5^4
Ø
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15