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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. bn
1/x
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(p + q)/5
B?b?b (where b is used as a factor n times)

2. What are the irrational numbers?

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3. The Perimeter of a rectangle
B?b?b (where b is used as a factor n times)
P=2(l+w)
EVEN
16.6666%

4. What is the measure of an exterior angle of a regular pentagon?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
72
(a - b)(a + b)
y2-y1/x2-x1

5. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
4.25 - 6 - 22
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
0
Negative

6. If a is inversely porportional to b - what does it equal?
1
Ab=k (k is a constant)
Ø=P(E)=1
V=side³

7. Product of any number and Ø is
Ø
6 : 1 : 2
Parallelogram
90°

8. What is the area of a regular hexagon with side 6?
27
... the square of the ratios of the corresponding sides.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
67 - 71 - 73

9. The consecutive angles in a parallelogram equal
The direction of the inequality is reversed.
180°
Ø
F(x-c)

10. Pi is a ratio of what to what?

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11. 1/Ø=null If a>b then
A<-b
71 - 73 - 79
A multiple of every integer
Ab+ac

12. How to recognize a # as a multiple of 3
x²-2xy+y²
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)
Ø
y2-y1/x2-x1

13. (x-y)(x+y)
(distance)/(rate) d/r
x²-y²
2^9 / 2 = 256
12.5%

14. Perimeter of a rectangle
The sum of the digits is a multiple of 9.
N! / (n-k)!
P= 2L + 2w
1:1:sqrt2

15. Can you simplify sqrt72?
x²-2xy+y²
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
62.5%
Even prime number

16. P and r are factors of 100. What is greater - pr or 100?
y/x is a constant
Indeterminable.
Add them. i.e. (5^7) * (5^3) = 5^10
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

17. a^0 =
M
C = (pi)d
1
8

18. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
A+c<b+c
13pi / 2
V=Lwh

19. What is the graph of f(x) shifted downward c units or spaces?
Right
(a - b)(a + b)
F(x) - c
27^(-4)

20. What are congruent triangles?
A multiple of every integer
The sum of the digits is a multiple of 9.
Triangles with same measure and same side lengths.
48

21. What is the empty set?
(a + b)^2
130pi
A set with no members - denoted by a circle with a diagonal through it.
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.

22. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
C=2 x pi x r OR pi x D
A reflection about the axis.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Members or elements

23. The only number that is equal to its opposite
1
Ø Ø=Ø
1
Ab=k (k is a constant)

24. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
Two equal sides and two equal angles.
Every number
A-b is negative
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.

25. Ø is
41 - 43 - 47
Even
The interesection of A and B.
Straight Angle

26. Write 10 -843 X 10^7 in scientific notation
2²
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1.0843 X 10^11
x²-y²

27. What does scientific notation mean?
3
C = (pi)d
x²-2xy+y²
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

28. Volume of a rectangular solid
1 - P(E)
F(x) - c
(length)(width)(height)
The longest arc between points A and B on a circle'S diameter.

29. the slope of a line in y=mx+b
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1:1:sqrt2
9 : 25
M

30. Describe the relationship between the graphs of x^2 and (1/2)x^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
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)
A-b is negative
The second graph is less steep.

31. If E is certain
A+c<b+c
A= (1/2) b*h
Ab=k (k is a constant)
P(E) = 1/1 = 1

32. Evaluate (4^3)^2
The greatest value minus the smallest.
A reflection about the origin.
4096
P(E) = 1/1 = 1

33. 0^0
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Undefined
The sum of digits is divisible by 9.
x^(4+7) = x^11

34. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
5 OR -5

35. b¹
Triangles with same measure and same side lengths.
P(E) = 1/1 = 1
C=2 x pi x r OR pi x D
1

36. A number is divisible by 4 is...
A²+b²=c²
4725
Its last two digits are divisible by 4.
27

37. Define a 'Term' -
(a - b)(a + b)
5
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)
F(x) - c

38. Factor x^2 - xy + x.
0
= (actual decrease/Original amount) x 100%
x(x - y + 1)
Undefined - because we can'T divide by 0.

39. 1/6 in percent?
16.6666%
3
x²+2xy+y²
... the square of the ratios of the corresponding sides.

40. Distance
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.)
Parallelogram
5 - 12 - 13
(rate)(time) d=rt

41. 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)
4.25 - 6 - 22
3/2 - 5/3
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...
A set with a number of elements which can be counted.

42. 3 is the opposite of
9 & 6/7
3
M
10! / (10-3)! = 720

43. Positive integers that have exactly 2 positive divisors are
37.5%
31 - 37
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
A=pi*(r^2)

44. What is a major arc?

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45. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
9 : 25
2 & 3/7
12! / 5!7! = 792

46. Volume of a rectangular box
V=Lwh
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Edge³

47. What percent of 40 is 22?
1/2 times 7/3
Null
$11 -448
55%

48. What is the graph of f(x) shifted upward c units or spaces?
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)
F(x) + c
zero
Smallest positive integer

49. (2²)³
1:sqrt3:2
26
Negative
A-b is negative

50. Slope of any line that goes down as you move from left to right is
Negative
(length)(width)(height)
23 - 29
(b + c)