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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. What is the maximum value for the function g(x) = (-2x^2) -1?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1
Every number

2. What does scientific notation mean?
4.25 - 6 - 22
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
27
Ab-ac

3. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
360/n
13pi / 2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Negative

4. What is the intersection of A and B?
A multiple of every integer
x^(4+7) = x^11
130pi
The set of elements found in both A and B.

5. a^2 - b^2
All numbers multiples of 1.
9
(a - b)(a + b)
Indeterminable.

6. What is the graph of f(x) shifted right c units or spaces?
3 - 4 - 5
F(x-c)
= (actual decrease/Original amount) x 100%
C=2 x pi x r OR pi x D

7. 3 is the opposite of
The two xes after factoring.
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)
3
72

8. A number is divisible by 9 if...
10! / 3!(10-3)! = 120
The sum of digits is divisible by 9.
0
(x+y)(x+y)

9. Define an 'expression'.
(a + b)^2
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/x
x^(4+7) = x^11

10. What is an isoceles triangle?
Two equal sides and two equal angles.
31 - 37
Positive
500

11. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
2 & 3/7
Infinite.
F(x + c)

12. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
C = 2(pi)r
72
An is positive

13. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
9
180°
x²+2xy+y²

14. The larger the absolute value of the slope...
13
C = (pi)d
Edge³
The steeper the slope.

15. The sum of the angles in a quadrilateral is
4.25 - 6 - 22
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)
360°
The point of intersection of the systems.

16. Evaluate 4/11 + 11/12
M
70
A=(base)(height)
1 & 37/132

17. What is a major arc?

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18. What is a subset?
A grouping of the members within a set based on a shared characteristic.
Ø Ø=Ø
13
NOT A PRIME

19. In a Regular Polygon - the measure of each exterior angle
360/n
x^(6-3) = x^3
441000 = 1 10 10 10 21 * 21
Pi is the ratio of a circle'S circumference to its diameter.

20. Pythagorean theorem
2 & 3/7
Positive or Negative
A²+b²=c²
(2x7)³

21. bn
360°
Ø
180 degrees
B?b?b (where b is used as a factor n times)

22. (x^2)^4
Ab-ac
41 - 43 - 47
9 : 25
x^(2(4)) =x^8 = (x^4)^2

23. What is the 'domain' of a function?
28. n = 8 - k = 2. n! / k!(n-k)!
(n-2) x 180
.0004809 X 10^11
The set of input values for a function.

24. Circumference of a circle
C = (pi)d
Pi(diameter)
Positive
Infinite.

25. 2 is the only
1
Even prime number
EVEN
The shortest arc between points A and B on a circle'S diameter.

26. Reduce: 4.8 : 0.8 : 1.6
A= (1/2) b*h
6 : 1 : 2
41 - 43 - 47
EVEN

27. If y is directly proportional to x - what does it equal?
y/x is a constant
Sum of digits is a multiple of 3 and the last digit is even.
4096
23 - 29

28. 1/6 in percent?
16.6666%
The overlapping sections.
500
180°

29. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Every number
$3 -500 in the 9% and $2 -500 in the 7%.

30. 50 < all primes< 60
(b + c)
1:1:sqrt2
53 - 59
28

31. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
A grouping of the members within a set based on a shared characteristic.
1
Its last two digits are divisible by 4.
Ø

32. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
Ø
The shortest arc between points A and B on a circle'S diameter.
x^(6-3) = x^3

33. 30< all primes<40
31 - 37
9
Subtract them. i.e (5^7)/(5^3)= 5^4
N! / (k!)(n-k)!

34. Probability of an Event
1
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)
130pi
P(E) = number of favorable outcomes/total number of possible outcomes

35. Find the surface area of a cylinder with radius 3 and height 12.
90pi
180°
ODD number
A percent is a fraction whose denominator is 100.

36. How to recognize a multiple of 6
Ab=k (k is a constant)
Sum of digits is a multiple of 3 and the last digit is even.
(length)(width)(height)
The sum of the digits is a multiple of 9.

37. The Perimeter of a rectangle
10! / (10-3)! = 720
Ab=k (k is a constant)
P=2(l+w)
Null

38. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
V=l×w×h
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
70

39. factored binomial product of (x+y)²
The overlapping sections.
P=4s (s=side)
x²+2xy+y²
The steeper the slope.

40. Find distance when given time and rate
D=rt so r= d/t and t=d/r
A multiple of every integer
10! / (10-3)! = 720
Ab+ac

41. binomial product of (x+y)²
(x+y)(x+y)
Straight Angle
Smallest positive integer
3/2 - 5/3

42. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
P(E) = 1/1 = 1
Be Zero!
Every number

43. What are the members or elements of a set?
A = length x width
No - only like radicals can be added.
The objects within a set.
y = 2x^2 - 3

44. binomial product of (x-y)²
x - x(SR3) - 2x
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)
(x+y)(x-y)
1

45. What is a finite set?
16.6666%
All numbers multiples of 1.
3
A set with a number of elements which can be counted.

46. (x-y)(x+y)
75:11
Ab-ac
A 30-60-90 triangle.
x²-y²

47. Convert 0.7% to a fraction.
2^9 / 2 = 256
71 - 73 - 79
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.
7 / 1000

48. formula for distance problems
20.5
A central angle is an angle formed by 2 radii.
Distance=rate×time or d=rt
1

49. Simplify the expression (p^2 - q^2)/ -5(q - p)
Cd
V=l×w×h
61 - 67
(p + q)/5

50. The perimeter of a square is 48 inches. The length of its diagonal is:
4a^2(b)
12sqrt2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
= (actual decrease/Original amount) x100% = 20/100x100% = 20%