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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. the measure of a straight angle
1.0843 X 10^11
V=Lwh
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
180°

2. The reciprocal of any non-zero #x is
12! / 5!7! = 792
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/x
62.5%

3. An Angle that'S 180°
Ab-ac
The objects within a set.
Straight Angle
M

4. Describe the relationship between the graphs of x^2 and (1/2)x^2
1
B?b?b (where b is used as a factor n times)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The second graph is less steep.

5. If Event is impossible
P(E) = ø
Diameter(Pi)
(a - b)(a + b)
The union of A and B.

6. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
1
10! / 3!(10-3)! = 120
A reflection about the origin.
16.6666%

7. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
angle that is greater than 90° but less than 180°
90
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1:1:sqrt2

8. a(b+c)
Ab+ac
75:11
The set of output values for a function.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

9. A number is divisible by 6 if...
(rate)(time) d=rt
75:11
Its divisible by 2 and by 3.
Be Zero!

10. Area of a triangle
The objects within a set.
A= (1/2) b*h
9
90pi

11. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
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.
Relationship cannot be determined (what if x is negative?)
x - x+1 - x+2
13pi / 2

12. 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?
360°
x²-y²
P= 2L + 2w
48

13. A number is divisible by 9 if...
11 - 13 - 17 - 19
20.5
The sum of digits is divisible by 9.
Null

14. 1 is a divisor of
A tangent is a line that only touches one point on the circumference of a circle.
4725
Every number
(a - b)(a + b)

15. (12sqrt15) / (2sqrt5) =
28. n = 8 - k = 2. n! / k!(n-k)!
1
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
360°

16. A quadrilateral where two diagonals bisect each other
62.5%
12.5%
1.7
Parallelogram

17. Simplify 9^(1/2) X 4^3 X 2^(-6)?
(n-2) x 180
61 - 67
3
4:5

18. Area of a circle
(pi)r²
The set of input values for a function.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Reciprocal

19. formula for distance problems
1
90pi
Distance=rate×time or d=rt
(distance)/(rate) d/r

20. the slope of a line in y=mx+b
x(x - y + 1)
A reflection about the origin.
M
= (actual decrease/Original amount) x 100%

21. What is an isoceles triangle?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Two equal sides and two equal angles.
x(x - y + 1)
Even

22. In a rectangle - all angles are
Positive
The set of elements which can be found in either A or B.
Right
The second graph is less steep.

23. 1/Ø=null If a>b then
180
A²+b²=c²
A<-b
Negative

24. 1 is the
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
180
1.0843 X 10^11
Smallest positive integer

25. Can you add sqrt 3 and sqrt 5?
90
1
No - only like radicals can be added.
Positive or Negative

26. What is the 'Solution' for a system of linear equations?
zero
5 - 12 - 13
13
The point of intersection of the systems.

27. Distance
(p + q)/5
1 - P(E)
P(E) = ø
(rate)(time) d=rt

28. First 10 prime #s
Distance=rate×time or d=rt
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A<-b
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

29. Perfect Squares 1-15
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
An arc is a portion of a circumference of a circle.
X
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

30. How to recognize a # as a multiple of 9
360/n
The sum of the digits is a multiple of 9.
130pi
28. n = 8 - k = 2. n! / k!(n-k)!

31. 10<all primes<20
The interesection of A and B.
11 - 13 - 17 - 19
5 - 12 - 13
2^9 / 2 = 256

32. The sum of the measures of the n angles in a polygon with n sides
(b + c)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(n-2) x 180
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)

33. The product of any number x and its reciprocal
Even
F(x-c)
1
Even prime number

34. How many 3-digit positive integers are even and do not contain the digit 4?
An angle which is supplementary to an interior angle.
Every number
V=Lwh
288 (8 9 4)

35. -3³
y/x is a constant
27
6
90pi

36. Legs 6 - 8. Hypotenuse?
Even prime number
Positive or Negative
10
6

37. 70 < all primes< 80
Undefined
20.5
71 - 73 - 79
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

38. The important properties of a 45-45-90 triangle?
x²-2xy+y²
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.
Even prime number
M

39. What is the side length of an equilateral triangle with altitude 6?
Add them. i.e. (5^7) * (5^3) = 5^10
Every number
12! / 5!7! = 792
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...

40. (x^2)^4
(b + c)
= (actual decrease/Original amount) x 100%
x^(2(4)) =x^8 = (x^4)^2
180 degrees

41. 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)?
500
y = (x + 5)/2
P=4s (s=side)
8

42. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
A-b is positive
Two (Ø×2=Ø)
2^9 / 2 = 256
1

43. Slope of any line that goes up from left to right
2 & 3/7
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Positive
Cd

44. What is the 'union' of A and B?
A multiple of every integer
The set of elements which can be found in either A or B.
The longest arc between points A and B on a circle'S diameter.
1

45. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
y = (x + 5)/2
4096
V=Lwh

46. Important properties of a 30-60-90 triangle?
(b + c)
Undefined
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
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

47. What number between 70 & 75 - inclusive - has the greatest number of factors?
Diameter(Pi)
72
26
N! / (n-k)!

48. Define an 'expression'.
360/n
5
The sum of its digits is divisible by 3.
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)

49. What is the measure of an exterior angle of a regular pentagon?
P(E) = number of favorable outcomes/total number of possible outcomes
Move the decimal point to the right x places
72
F(x + c)

50. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
360°
20.5
71 - 73 - 79
1