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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 are 'Supplementary angles?'
Two angles whose sum is 180.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
P(E) = ø
3 - -3

2. Ø is
16.6666%
Even
Relationship cannot be determined (what if x is negative?)
9 & 6/7

3. formula for area of a triangle
Straight Angle
23 - 29
The interesection of A and B.
A=½bh

4. 25^(1/2) or sqrt. 25 =
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
23 - 29
5 OR -5
(p + q)/5

5. If a lamp increases from $80 to $100 - what is the percent increase?
3
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
The sum of its digits is divisible by 3.

6. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
The empty set - denoted by a circle with a diagonal through it.
D/t (distance)/(time)
The steeper the slope.
$11 -448

7. 1/Ø=null If a>b then
1/x
A<-b
$3 -500 in the 9% and $2 -500 in the 7%.
28

8. Probability of E not occurring:
3 - 4 - 5
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
1 - P(E)
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)

9. Write 10 -843 X 10^7 in scientific notation
180
1.0843 X 10^11
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
V=Lwh

10. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Infinite.
A set with a number of elements which can be counted.
X
A 30-60-90 triangle.

11. The sum of all angles around a point
Ø
360°
(a + b)^2
(a + b)^2

12. 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
180
Two equal sides and two equal angles.
Negative
1

13. What is the measure of an exterior angle of a regular pentagon?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
72
4725
y/x is a constant

14. Area of a Parallelogram:
A=(base)(height)
N! / (n-k)!
1 - P(E)
4.25 - 6 - 22

15. formula for distance problems
(a - b)(a + b)
500
130pi
Distance=rate×time or d=rt

16. 60 < all primes <70
The second graph is less steep.
2 & 3/7
(x+y)(x-y)
61 - 67

17. The product of odd number of negative numbers
31 - 37
P= 2L + 2w
Negative
An angle which is supplementary to an interior angle.

18. Evaluate 4/11 + 11/12
9 : 25
Diameter(Pi)
4:5
1 & 37/132

19. Ø is
True
1
13pi / 2
A multiple of every integer

20. Acute Angle
Arc length = (n/360) x pi(2r) where n is the number of degrees.
angle that is greater than 90° but less than 180°
an angle that is less than 90°
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

21. 30< all primes<40
31 - 37
3
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

22. 70 < all primes< 80
180°
71 - 73 - 79
4:5
The sum of the digits is a multiple of 9.

23. Time
Be Zero!
Add them. i.e. (5^7) * (5^3) = 5^10
67 - 71 - 73
(distance)/(rate) d/r

24. Perimeter of a rectangle
x^(4+7) = x^11
N! / (k!)(n-k)!
Factors are few - multiples are many.
P= 2L + 2w

25. When multiplying exponential #s with the same base - you do this to the exponents...
A²+b²=c²
Add them. i.e. (5^7) * (5^3) = 5^10
Reciprocal
83.333%

26. What is the 'domain' of a function?
The set of input values for a function.
9
Negative
$3 -500 in the 9% and $2 -500 in the 7%.

27. The reciprocal of any non-zero #x is
0
The sum of the digits is a multiple of 9.
NOT A PRIME
1/x

28. 1 is an
Edge³
ODD number
A multiple of every integer
26

29. The percent decrease of a quantity
6 : 1 : 2
A=pi*(r^2)
= (actual decrease/Original amount) x 100%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

30. The larger the absolute value of the slope...
(rate)(time) d=rt
The steeper the slope.
The set of output values for a function.
The shortest arc between points A and B on a circle'S diameter.

31. If a is negative and n is even then an is (positive or negative?)
Diameter(Pi)
Its last two digits are divisible by 4.
x²+2xy+y²
An is positive

32. A number is divisible by 3 if ...
4096
The sum of its digits is divisible by 3.
Members or elements
Cd

33. (2²)³
26
Even
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)
72

34. What is a subset?
180
Triangles with same measure and same side lengths.
V=side³
A grouping of the members within a set based on a shared characteristic.

35. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
The overlapping sections.
F(x-c)
31 - 37
$3 -500 in the 9% and $2 -500 in the 7%.

36. 7/8 in percent?
5 - 12 - 13
87.5%
Add them. i.e. (5^7) * (5^3) = 5^10
A chord is a line segment joining two points on a circle.

37. Find distance when given time and rate
Null
(b + c)
D=rt so r= d/t and t=d/r
V=Lwh

38. a^2 - 2ab + b^2
(a - b)^2
Two (Ø×2=Ø)
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
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

39. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
(distance)/(rate) d/r
70
20.5
28

40. Area of a circle
3
.0004809 X 10^11
(pi)r²
2^9 / 2 = 256

41. Ø Is neither
Even prime number
Positive or Negative
5 OR -5
x - x(SR3) - 2x

42. How many multiples does a given number have?
x - x(SR3) - 2x
A multiple of every integer
A set with a number of elements which can be counted.
Infinite.

43. Define a 'monomial'
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.
(a - b)(a + b)
Every number
An expression with just one term (-6x - 2a^2)

44. Legs 5 - 12. Hypotenuse?
x^(4+7) = x^11
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)
Negative
13

45. In a Rectangle - each angles measures
360°
= (actual decrease/Original amount) x 100%
4096
90°

46. In a Regular Polygon - the measure of each exterior angle
360/n
The direction of the inequality is reversed.
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
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.

47. Solve the quadratic equation ax^2 + bx + c= 0
Lies opposite the greater angle
C = 2(pi)r
8
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

48. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
$11 -448
The steeper the slope.
Members or elements

49. formula for volume of a rectangular solid
Ø Ø=Ø
V=l×w×h
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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)

50. binomial product of (x-y)²
Positive
(x+y)(x-y)
53 - 59
130pi