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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. Which is greater? 64^5 or 16^8
A tangent is a line that only touches one point on the circumference of a circle.
An is positive
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
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)

2. A quadrilateral where two diagonals bisect each other
Parallelogram
360°
Ø
1

3. Legs 6 - 8. Hypotenuse?
An arc is a portion of a circumference of a circle.
75:11
1
10

4. 5x^2 - 35x -55 = 0
1 & 37/132
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(amount of decrease/original price) x 100%
1.0843 X 10^11

5. a^2 - 2ab + b^2
P=2(l+w)
180
(a - b)^2
(2x7)³

6. How to recognize a # as a multiple of 4
Ab-ac
Every number
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.)
Even

7. 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)
2 & 3/7
Every number
Null
4.25 - 6 - 22

8. Formula to find a circle'S circumference from its diameter?
The sum of digits is divisible by 9.
C = (pi)d
61 - 67
2^9 / 2 = 256

9. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
... the square of the ratios of the corresponding sides.
The greatest value minus the smallest.
70

10. Evaluate 4/11 + 11/12
B?b?b (where b is used as a factor n times)
Cd
1 & 37/132
A²+b²=c²

11. 70 < all primes< 80
71 - 73 - 79
N! / (n-k)!
Arc length = (n/360) x pi(2r) where n is the number of degrees.
6 : 1 : 2

12. The sum of all angles around a point
Straight Angle
All numbers multiples of 1.
360°
1

13. What is the slope of a horizontal line?
The longest arc between points A and B on a circle'S diameter.
0
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
37.5%

14. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
7 / 1000
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
20.5

15. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Lies opposite the greater angle
2sqrt6
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

16. Simplify the expression [(b^2 - c^2) / (b - c)]
Ab-ac
9 : 25
(b + c)
Ø

17. 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?
ODD number
1
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.
N! / (n-k)!

18. (x-y)²
1/a^6
C = 2(pi)r
Pi is the ratio of a circle'S circumference to its diameter.
x²-2xy+y²

19. Formula for the area of a circle?
Ø
6
A = pi(r^2)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

20. a(b-c)
1
The steeper the slope.
Ø Ø=Ø
Ab-ac

21. A number is divisible by 4 is...
Undefined
27
Its last two digits are divisible by 4.
3 - 4 - 5

22. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
D=rt so r= d/t and t=d/r
2
A+c<b+c
Arc length = (n/360) x pi(2r) where n is the number of degrees.

23. 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?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(a - b)(a + b)
Two angles whose sum is 90.
10! / 3!(10-3)! = 120

24. Important properties of a 30-60-90 triangle?
Null
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
(a - b)^2
F(x-c)

25. Ø Is neither
Even
Positive or Negative
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
90°

26. When multiplying exponential #s with the same base - you do this to the exponents...
V=l×w×h
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
9
Add them. i.e. (5^7) * (5^3) = 5^10

27. Perimeter of a rectangle
P= 2L + 2w
2^9 / 2 = 256
V=l×w×h
130pi

28. Positive integers that have exactly 2 positive divisors are
y = 2x^2 - 3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
72
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

29. What is the order of operations?
1:sqrt3:2
Two angles whose sum is 90.
Do not have slopes!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

30. Circumference of a circle
Two angles whose sum is 90.
Pi(diameter)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2 & 3/7

31. 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?
V=Lwh
(n-2) x 180
y = 2x^2 - 3
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.)

32. What is an exterior angle?
An angle which is supplementary to an interior angle.
Edge³
67 - 71 - 73
180°

33. Convert 0.7% to a fraction.
7 / 1000
360°
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A=½bh

34. 25/2³
2.592 kg
2²
5 - 12 - 13
M= (Y1-Y2)/(X1-X2)

35. a^2 - b^2
(a - b)(a + b)
An infinite set.
87.5%
Negative

36. Rate
Two equal sides and two equal angles.
Members or elements
D/t (distance)/(time)
M

37. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
An is positive
90
x - x(SR3) - 2x
180

38. In a Regular Polygon - the measure of each exterior angle
The set of elements found in both A and B.
360/n
V=l×w×h
V=side³

39. Legs: 3 - 4. Hypotenuse?
5
C = 2(pi)r
M
The union of A and B.

40. Circumference of a Circle
(a - b)^2
180 degrees
C=2 x pi x r OR pi x D
28

41. 0^0
13pi / 2
2
Undefined
All numbers multiples of 1.

42. 30 60 90
90
Lies opposite the greater angle
72
3x - 4x - 5x

43. What is the slope of a vertical line?

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44. 10<all primes<20
72
11 - 13 - 17 - 19
The sum of digits is divisible by 9.
(distance)/(rate) d/r

45. In a Rectangle - each angles measures
5 OR -5
10
A percent is a fraction whose denominator is 100.
90°

46. 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
48
A=pi*(r^2)
x²+2xy+y²
18

47. What is a major arc?

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48. What are complementary angles?
Two angles whose sum is 90.
Even
D=rt so r= d/t and t=d/r
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

49. The Denominator can never
Be Zero!
Infinite.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
A reflection about the origin.

50. What is the name of set with a number of elements which cannot be counted?
An infinite set.
Positive or Negative
Ø=P(E)=1
Ø