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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. (x-y)(x+y)
Straight Angle
x²-y²
Diameter(Pi)
27^(-4)

2. If a is negative and n is even then an is (positive or negative?)
16.6666%
An is positive
x²-2xy+y²
y2-y1/x2-x1

3. a^2 - b^2 =
The greatest value minus the smallest.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
441000 = 1 10 10 10 21 * 21
(a - b)(a + b)

4. Number of degrees in a triangle
180
2
A multiple of every integer
5

5. Probability of an Event
The set of output values for a function.
P(E) = number of favorable outcomes/total number of possible outcomes
A=½bh
True

6. What are 'Supplementary angles?'
Pi is the ratio of a circle'S circumference to its diameter.
16.6666%
11 - 13 - 17 - 19
Two angles whose sum is 180.

7. Circumference of a circle?
Diameter(Pi)
A=½bh
3
The longest arc between points A and B on a circle'S diameter.

8. Factor a^2 + 2ab + b^2
(a + b)^2
90
N! / (k!)(n-k)!
90°

9. 5/6 in percent?
41 - 43 - 47
Parallelogram
9 & 6/7
83.333%

10. 7 divided by Ø
Ø=P(E)=1
y/x is a constant
Null
Can be negative - zero - or positive

11. Ø²
1
(a - b)(a + b)
Ø
The second graph is less steep.

12. What is an arc of a circle?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
5
Move the decimal point to the right x places
An arc is a portion of a circumference of a circle.

13. What is the side length of an equilateral triangle with altitude 6?
Null
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...
Ab-ac
x^(4+7) = x^11

14. 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?
Ø Ø=Ø
2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
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

15. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
1 & 37/132
Factors are few - multiples are many.
3
75:11

16. 2 is the only
(pi)r²
The set of output values for a function.
The second graph is less steep.
Even prime number

17. 7/8 in percent?
x²-2xy+y²
87.5%
1/a^6
1

18. a^2 + 2ab + b^2
No - only like radicals can be added.
NOT A PRIME
(a + b)^2
Diameter(Pi)

19. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
Ab+ac
True
48
500

20. How to recognize a # as a multiple of 4
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.)
12sqrt2
(n-2) x 180
An angle which is supplementary to an interior angle.

21. (2²)³
2
C = (pi)d
Pi(diameter)
26

22. a(b-c)
48
28
(a + b)^2
Ab-ac

23. Find distance when given time and rate
0
90
(pi)r²
D=rt so r= d/t and t=d/r

24. How many 3-digit positive integers are even and do not contain the digit 4?
Positive
288 (8 9 4)
Ab+ac
6

25. Evaluate 3& 2/7 / 1/3
Ø Ø=Ø
9 & 6/7
(a + b)^2
A=(base)(height)

26. What is the graph of f(x) shifted upward c units or spaces?
D/t (distance)/(time)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Null
F(x) + c

27. Describe the relationship between 3x^2 and 3(x - 1)^2
1
Ø
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A subset.

28. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
3
y/x is a constant
Undefined
0

29. 70 < all primes< 80
360°
28
71 - 73 - 79
= (actual decrease/Original amount) x 100%

30. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
True
180 degrees
72
12sqrt2

31. Area of a Parallelogram:
A=(base)(height)
4096
180
Even

32. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Add them. i.e. (5^7) * (5^3) = 5^10
(pi)r²
$11 -448
A= (1/2) b*h

33. What are the integers?
62.5%
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)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
All numbers multiples of 1.

34. Ø is a multiple of
2(pi)r
Every number
1 - P(E)
(n-2) x 180

35. 4.809 X 10^7 =
.0004809 X 10^11
Smallest positive integer
(a - b)(a + b)
Relationship cannot be determined (what if x is negative?)

36. 5x^2 - 35x -55 = 0
Parallelogram
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The point of intersection of the systems.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

37. Simplify the expression [(b^2 - c^2) / (b - c)]
A=pi*(r^2)
A reflection about the axis.
(b + c)
Even

38. What is the 'union' of A and B?
(2x7)³
The set of elements which can be found in either A or B.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
An angle which is supplementary to an interior angle.

39. Factor x^2 - xy + x.
6
0
x(x - y + 1)
.0004809 X 10^11

40. Product of any number and Ø is
360°
x^(6-3) = x^3
Ø
Positive

41. One is (a prime or not?)
x²-y²
NOT A PRIME
The shortest arc between points A and B on a circle'S diameter.
B?b?b (where b is used as a factor n times)

42. When multiplying exponential #s with the same base - you do this to the exponents...
28. n = 8 - k = 2. n! / k!(n-k)!
x²-2xy+y²
Add them. i.e. (5^7) * (5^3) = 5^10
1 & 37/132

43. A number is divisible by 9 if...
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
Diameter(Pi)
Undefined - because we can'T divide by 0.
The sum of digits is divisible by 9.

44. Ø divided by 7
Ø
A²+b²=c²
1/a^6
1.7

45. 25^(1/2) or sqrt. 25 =
The interesection of A and B.
Relationship cannot be determined (what if x is negative?)
5 OR -5
Positive

46. Circumference of a circle
2(pi)r
12! / 5!7! = 792
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.
M= (Y1-Y2)/(X1-X2)

47. The Perimeter of a Square
(x+y)(x+y)
$3 -500 in the 9% and $2 -500 in the 7%.
500
P=4s (s=side)

48. Simplify (a^2 + b)^2 - (a^2 - b)^2
Null
N! / (n-k)!
1.7
4a^2(b)

49. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
7 / 1000
3 - -3
.0004809 X 10^11

50. A number is divisible by 3 if ...
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
The sum of its digits is divisible by 3.
(a + b)^2
The greatest value minus the smallest.