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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. How to determine percent decrease?
13
x^(6-3) = x^3
$11 -448
(amount of decrease/original price) x 100%

2. Find the surface area of a cylinder with radius 3 and height 12.
An arc is a portion of a circumference of a circle.
90pi
67 - 71 - 73
$11 -448

3. 1 is an
72
4725
ODD number
(rate)(time) d=rt

4. What is a minor arc?

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5. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
... the square of the ratios of the corresponding sides.
An isosceles right triangle.
A percent is a fraction whose denominator is 100.
$3 -500 in the 9% and $2 -500 in the 7%.

6. What are the real numbers?
Null
(distance)/(rate) d/r
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)
An isosceles right triangle.

7. What is the set of elements which can be found in either A or B?
Members or elements
(a + b)^2
The union of A and B.
Infinite.

8. Circumference of a circle?
A set with no members - denoted by a circle with a diagonal through it.
Diameter(Pi)
F(x) + c
5

9. What is the slope of a horizontal line?
(pi)r²
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
0
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

10. 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)
Ø
A= (1/2) b*h
12! / 5!7! = 792
4.25 - 6 - 22

11. What is the 'Range' of a series of numbers?
x²-2xy+y²
The objects within a set.
An is positive
The greatest value minus the smallest.

12. Consecutive integers
Every number
x - x+1 - x+2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A²+b²=c²

13. What is the empty set?
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)
(p + q)/5
A set with no members - denoted by a circle with a diagonal through it.
1

14. In any polygon - all external angles equal up to
Every number
The set of elements which can be found in either A or B.
4.25 - 6 - 22
360°

15. The product of odd number of negative numbers
Ab=k (k is a constant)
y2-y1/x2-x1
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)
Negative

16. 10<all primes<20
2²
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...
11 - 13 - 17 - 19
9 : 25

17. Which is greater? 64^5 or 16^8
90pi
D=rt so r= d/t and t=d/r
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1

18. If y is directly proportional to x - what does it equal?
The steeper the slope.
y/x is a constant
The set of output values for a function.
Infinite.

19. What are the roots of the quadrinomial x^2 + 2x + 1?
F(x) - c
13pi / 2
The two xes after factoring.
The sum of the digits is a multiple of 9.

20. 5/6 in percent?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
10! / 3!(10-3)! = 120
3 - 4 - 5
83.333%

21. Factor a^2 + 2ab + b^2
(a + b)^2
$3 -500 in the 9% and $2 -500 in the 7%.
A=(base)(height)
2(pi)r

22. To decrease a number by x%
x^(2(4)) =x^8 = (x^4)^2
26
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
ODD number

23. What is the surface area of a cylinder with radius 5 and height 8?
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)
5 OR -5
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
130pi

24. Circumference of a circle
A²+b²=c²
23 - 29
2(pi)r
A=½bh

25. (x-y)²
x²-2xy+y²
(a - b)^2
Even
(pi)r²

26. Time
Right
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(distance)/(rate) d/r
3x - 4x - 5x

27. What is an isoceles triangle?
16.6666%
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
10! / (10-3)! = 720
Two equal sides and two equal angles.

28. A prime number (or a prime)
(p + q)/5
1/a^6
(b + c)
A natural number greater than 1 that has no positive divisors other than 1 and itself

29. What is the graph of f(x) shifted right c units or spaces?
y2-y1/x2-x1
M
F(x-c)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

30. 0^0
The union of A and B.
Infinite.
Undefined
A reflection about the origin.

31. If a is negative and n is even then an is (positive or negative?)
3x - 4x - 5x
An is positive
A-b is negative
12! / 5!7! = 792

32. Formula for the area of a circle?
A=½bh
an angle that is less than 90°
A = pi(r^2)
2sqrt6

33. What percent of 40 is 22?
The longest arc between points A and B on a circle'S diameter.
1
55%
The steeper the slope.

34. 2 is the only
x - x(SR3) - 2x
The set of elements found in both A and B.
Even prime number
28. n = 8 - k = 2. n! / k!(n-k)!

35. In a Rectangle - each angles measures
6
Arc length = (n/360) x pi(2r) where n is the number of degrees.
12sqrt2
90°

36. 70 < all primes< 80
71 - 73 - 79
Ab-ac
83.333%
5 OR -5

37. What is the maximum value for the function g(x) = (-2x^2) -1?
y2-y1/x2-x1
The second graph is less steep.
1
83.333%

38. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
$11 -448
Ø
90°

39. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
Do not have slopes!
6
Ø

40. binomial product of (x-y)²
72
A-b is negative
(x+y)(x-y)
Undefined - because we can'T divide by 0.

41. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
360°
(2x7)³
Subtract them. i.e (5^7)/(5^3)= 5^4

42. 30 60 90
x - x(SR3) - 2x
53 - 59
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A tangent is a line that only touches one point on the circumference of a circle.

43. formula for the volume of a cube
V=side³
(amount of decrease/original price) x 100%
Yes - like radicals can be added/subtracted.
0

44. To multiply a number by 10^x
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Right
Move the decimal point to the right x places
Ab+ac

45. Formula to find a circle'S circumference from its diameter?
The second graph is less steep.
130pi
Every number
C = (pi)d

46. Ø Is neither
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Yes - like radicals can be added/subtracted.
Positive or Negative
27

47. (6sqrt3) x (2sqrt5) =
P(E) = number of favorable outcomes/total number of possible outcomes
y = 2x^2 - 3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
13

48. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
x^(6-3) = x^3
Parallelogram
A = pi(r^2)

49. If an inequality is multiplied or divided by a negative number....
X
360°
The greatest value minus the smallest.
The direction of the inequality is reversed.

50. 30 60 90
62.5%
5 - 12 - 13
Every number
A set with no members - denoted by a circle with a diagonal through it.