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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 area of a regular hexagon with side 6?
Triangles with same measure and same side lengths.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2²
A = length x width

2. a^2 - b^2
(a - b)(a + b)
27
5 - 12 - 13
(pi)r²

3. Evaluate 3& 2/7 / 1/3
9 & 6/7
P(E) = ø
The set of elements which can be found in either A or B.
3/2 - 5/3

4. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
(pi)r²
A reflection about the axis.
A = pi(r^2)
A=pi*(r^2)

5. formula for volume of a rectangular solid
The direction of the inequality is reversed.
Members or elements
V=l×w×h
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6

6. 30< all primes<40
Move the decimal point to the right x places
90
1.7
31 - 37

7. Describe the relationship between the graphs of x^2 and (1/2)x^2
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The second graph is less steep.
.0004809 X 10^11
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

8. a>b then a - b is positive or negative?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A-b is positive
(base*height) / 2

9. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
11 - 13 - 17 - 19
2.592 kg
A reflection about the origin.
48

10. Vertical lines
3/2 - 5/3
Even
Do not have slopes!
A = pi(r^2)

11. binomial product of (x+y)(x-y)
x²-y²
The set of output values for a function.
an angle that is less than 90°
360°

12. What are complementary angles?
The set of elements which can be found in either A or B.
10
Two angles whose sum is 90.
1 & 37/132

13. -3³
27
1
The second graph is less steep.
441000 = 1 10 10 10 21 * 21

14. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Positive
4:5
(x+y)(x-y)

15. (2²)³
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.
26
Infinite.
A reflection about the axis.

16. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
The set of output values for a function.
Sum of digits is a multiple of 3 and the last digit is even.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

17. a^2 - 2ab + b^2
(a - b)^2
The point of intersection of the systems.
18
9 : 25

18. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
Two equal sides and two equal angles.
The interesection of A and B.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

19. What is a subset?
1:1:sqrt2
A grouping of the members within a set based on a shared characteristic.
The union of A and B.
Relationship cannot be determined (what if x is negative?)

20. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
3
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
10! / (10-3)! = 720
(a + b)^2

21. If Event is impossible
P(E) = ø
(a - b)(a + b)
87.5%
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. The product of odd number of negative numbers
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Move the decimal point to the right x places
Negative
P=2(l+w)

23. Circumference of a circle?
Diameter(Pi)
Negative
A set with no members - denoted by a circle with a diagonal through it.
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x

24. The only number that is equal to its opposite
Ø Ø=Ø
67 - 71 - 73
Positive
6

25. How to recognize a # as a multiple of 9
Ab-ac
The sum of the digits is a multiple of 9.
Undefined
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)

26. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
3 - 4 - 5
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.
Two angles whose sum is 90.
11 - 13 - 17 - 19

27. To increase a number by x%
53 - 59
Ø
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(a - b)(a + b)

28. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
F(x + c)
180 degrees
3

29. If a product of two numbers is Ø - one number must be
72
(x+y)(x-y)
Ø
28

30. x^2 = 9. What is the value of x?
F(x-c)
20.5
An arc is a portion of a circumference of a circle.
3 - -3

31. A number is divisible by 3 if ...
(amount of decrease/original price) x 100%
130pi
The shortest arc between points A and B on a circle'S diameter.
The sum of its digits is divisible by 3.

32. How to recognize a # as a multiple of 4
Do not have slopes!
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.)
Ø
x - x+1 - x+2

33. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
The objects within a set.
No - only like radicals can be added.
12.5%

34. The percent decrease of a quantity
Indeterminable.
The greatest value minus the smallest.
= (actual decrease/Original amount) x 100%
N! / (n-k)!

35. The objects in a set are called two names:
x - x+1 - x+2
Members or elements
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
V=Lwh

36. a(b+c)
Smallest positive integer
Triangles with same measure and same side lengths.
Ab+ac
y = (x + 5)/2

37. 25^(1/2) or sqrt. 25 =
5 OR -5
360°
16.6666%
The set of elements which can be found in either A or B.

38. Whats the difference between factors and multiples?
A²+b²=c²
(n-2) x 180
Factors are few - multiples are many.
A chord is a line segment joining two points on a circle.

39. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
75:11
53 - 59
Ø Ø=Ø

40. What is an exterior angle?
12.5%
An angle which is supplementary to an interior angle.
A reflection about the axis.
A reflection about the origin.

41. What is an arc of a circle?
Ab-ac
An arc is a portion of a circumference of a circle.
(base*height) / 2
9 & 6/7

42. 40 < all primes<50
A reflection about the origin.
41 - 43 - 47
Every number
Two angles whose sum is 180.

43. Ø divided by 7
(b + c)
A 30-60-90 triangle.
B?b?b (where b is used as a factor n times)
Ø

44. What is the slope of a vertical line?

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45. 30 60 90
5 - 12 - 13
The set of input values for a function.
130pi
An expression with just one term (-6x - 2a^2)

46. (12sqrt15) / (2sqrt5) =
NOT A PRIME
A percent is a fraction whose denominator is 100.
V=side³
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

47. Find distance when given time and rate
8
A tangent is a line that only touches one point on the circumference of a circle.
2²
D=rt so r= d/t and t=d/r

48. X is the opposite of
83.333%
X
(a + b)^2
The empty set - denoted by a circle with a diagonal through it.

49. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
y = 2x^2 - 3
90
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

50. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
(pi)r²
D=rt so r= d/t and t=d/r
360°