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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. 2³×7³
The set of output values for a function.
(a - b)(a + b)
The longest arc between points A and B on a circle'S diameter.
(2x7)³

2. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
(a + b)^2
(a + b)^2
6 : 1 : 2

3. Slope given 2 points
(a - b)(a + b)
M= (Y1-Y2)/(X1-X2)
13
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.)

4. Slope of any line that goes down as you move from left to right is
9
Ab=k (k is a constant)
Negative
Be Zero!

5. For any number x
Can be negative - zero - or positive
x^(2(4)) =x^8 = (x^4)^2
55%
37.5%

6. What is the 'Range' of a function?
The set of output values for a function.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
5 OR -5

7. To increase a number by x%
The point of intersection of the systems.
N! / (n-k)!
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
28. n = 8 - k = 2. n! / k!(n-k)!

8. What is the intersection of A and B?
The set of elements found in both A and B.
500
The empty set - denoted by a circle with a diagonal through it.
3x - 4x - 5x

9. What is the ratio of the sides of a 30-60-90 triangle?
(a + b)^2
16.6666%
1:sqrt3:2
Even prime number

10. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
1/2 times 7/3
2 & 3/7
x(x - y + 1)

11. What is a finite set?
288 (8 9 4)
A set with a number of elements which can be counted.
Two angles whose sum is 180.
13

12. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
4.25 - 6 - 22
(pi)r²
23 - 29
8

13. Factor a^2 + 2ab + b^2
The sum of the digits is a multiple of 9.
180
Null
(a + b)^2

14. Circumference of a Circle
Pi is the ratio of a circle'S circumference to its diameter.
(x+y)(x-y)
The sum of its digits is divisible by 3.
C=2 x pi x r OR pi x D

15. Solve the quadratic equation ax^2 + bx + c= 0
(a - b)^2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
72
Lies opposite the greater angle

16. 2 is the only
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The set of elements found in both A and B.
Even prime number
1.0843 X 10^11

17. a^2 - b^2
(a - b)(a + b)
The point of intersection of the systems.
9
Indeterminable.

18. What are 'Supplementary angles?'
Its divisible by 2 and by 3.
13pi / 2
55%
Two angles whose sum is 180.

19. Formula for the area of a circle?
A = pi(r^2)
P(E) = ø
An isosceles right triangle.
2(pi)r

20. -3²
N! / (k!)(n-k)!
75:11
x(x - y + 1)
9

21. 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
P(E) = 1/1 = 1
N! / (n-k)!
18
4:5

22. Define a 'Term' -
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)
Distance=rate×time or d=rt
A central angle is an angle formed by 2 radii.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

23. Probability of an Event
P(E) = number of favorable outcomes/total number of possible outcomes
A=½bh
F(x) + c
x - x(SR3) - 2x

24. Acute Angle
F(x) - c
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Negative
an angle that is less than 90°

25. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Be Zero!
3
0
A reflection about the origin.

26. What is the slope of a horizontal line?
.0004809 X 10^11
3
0
Lies opposite the greater angle

27. How to recognize a # as a multiple of 4
Its last two digits are divisible by 4.
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.)
A tangent is a line that only touches one point on the circumference of a circle.
EVEN

28. Define an 'expression'.
A central angle is an angle formed by 2 radii.
A= (1/2) b*h
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)
70

29. What are complementary angles?
Two angles whose sum is 90.
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.)
Cd
x²-y²

30. The product of any number x and its reciprocal
y/x is a constant
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1
.0004809 X 10^11

31. What is the order of operations?
F(x) - c
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Indeterminable.
The set of elements found in both A and B.

32. In a Regular Polygon - the measure of each exterior angle
48
(rate)(time) d=rt
9
360/n

33. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
A percent is a fraction whose denominator is 100.
C = (pi)d
y = 2x^2 - 3
(a + b)^2

34. Evaluate 4/11 + 11/12
Ø
1 & 37/132
9 : 25
13pi / 2

35. 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
5 - 12 - 13
1
31 - 37

36. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
F(x-c)
12sqrt2
P=2(l+w)

37. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Negative
360°
5 - 12 - 13
A 30-60-90 triangle.

38. 30 60 90
x - x(SR3) - 2x
Ø=P(E)=1
D/t (distance)/(time)
A = length x width

39. Area of a circle
18
1
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
(pi)r²

40. What is a subset?
A grouping of the members within a set based on a shared characteristic.
13
A natural number greater than 1 that has no positive divisors other than 1 and itself
3

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)!
A reflection about the axis.
The longest arc between points A and B on a circle'S diameter.
1

42. A number is divisible by 4 is...
1
C = 2(pi)r
Its last two digits are divisible by 4.
(rate)(time) d=rt

43. 1/2 divided by 3/7 is the same as
The overlapping sections.
1/2 times 7/3
Null
31 - 37

44. 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)
Negative
4.25 - 6 - 22
angle that is greater than 90° but less than 180°
1:sqrt3:2

45. Time
16.6666%
Do not have slopes!
(distance)/(rate) d/r
(x+y)(x+y)

46. What is a tangent?
Subtract them. i.e (5^7)/(5^3)= 5^4
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A tangent is a line that only touches one point on the circumference of a circle.
10! / 3!(10-3)! = 120

47. (a^-1)/a^5
(2x7)³
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A multiple of every integer
1/a^6

48. If y is directly proportional to x - what does it equal?
C = (pi)d
Its divisible by 2 and by 3.
y/x is a constant
x²+2xy+y²

49. 1n
1
Negative
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The empty set - denoted by a circle with a diagonal through it.

50. How to recognize a multiple of 6
28
3 - 4 - 5
Sum of digits is a multiple of 3 and the last digit is even.
D=rt so r= d/t and t=d/r