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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. 25+2³
28
y = (x + 5)/2
(rate)(time) d=rt
1/x

2. Is 0 even or odd?
41 - 43 - 47
Even
8
M

3. The sum of the measures of the n angles in a polygon with n sides
16.6666%
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-2) x 180
(a - b)(a + b)

4. The perimeter of a square is 48 inches. The length of its diagonal is:
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)
A-b is positive
12sqrt2

5. Ø is a multiple of
Every number
The longest arc between points A and B on a circle'S diameter.
An isosceles right triangle.
zero

6. What is the 'Solution' for a set of inequalities.
x²-2xy+y²
The set of input values for a function.
A subset.
The overlapping sections.

7. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
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)
31 - 37
4725
A reflection about the axis.

8. Number of degrees in a triangle
Null
180
Yes - like radicals can be added/subtracted.
A²+b²=c²

9. 4.809 X 10^7 =
y = 2x^2 - 3
(rate)(time) d=rt
Indeterminable.
.0004809 X 10^11

10. How many sides does a hexagon have?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
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.)
X
6

11. a/Ø
41 - 43 - 47
(a - b)^2
Null
71 - 73 - 79

12. The sum of all angles around a point
52
(b + c)
360°
Ø=P(E)=1

13. Which is greater? 64^5 or 16^8
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...
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Add them. i.e. (5^7) * (5^3) = 5^10
288 (8 9 4)

14. Volume of a rectangular solid
(2x7)³
(length)(width)(height)
3x - 4x - 5x
x - x(SR3) - 2x

15. X is the opposite of
Cd
X
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Undefined - because we can'T divide by 0.

16. A number is divisible by 9 if...
F(x) + c
1 - P(E)
The sum of digits is divisible by 9.
A = length x width

17. a>b then a - b is positive or negative?
A-b is positive
NOT A PRIME
61 - 67
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)

18. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
x^(2(4)) =x^8 = (x^4)^2
The sum of the digits is a multiple of 9.

19. Ø is
Even
The direction of the inequality is reversed.
4725
2^9 / 2 = 256

20. (2²)³
180 degrees
x^(2(4)) =x^8 = (x^4)^2
26
(p + q)/5

21. What are complementary angles?
an angle that is less than 90°
Two angles whose sum is 90.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1/x

22. Ø is a multiple of
y = 2x^2 - 3
A set with no members - denoted by a circle with a diagonal through it.
Two (Ø×2=Ø)
Be Zero!

23. Area of a circle
(pi)r²
A grouping of the members within a set based on a shared characteristic.
90pi
Triangles with same measure and same side lengths.

24. 5/6 in percent?
.0004809 X 10^11
D=rt so r= d/t and t=d/r
180 degrees
83.333%

25. 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?
Add them. i.e. (5^7) * (5^3) = 5^10
48
The set of elements which can be found in either A or B.
Undefined - because we can'T divide by 0.

26. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
288 (8 9 4)
Sum of digits is a multiple of 3 and the last digit is even.
90

27. The Perimeter of a Square
1
Null
P=4s (s=side)
4:5

28. factored binomial product of (x-y)²
x²-2xy+y²
EVEN
26
1.0843 X 10^11

29. What is a central angle?
4725
A central angle is an angle formed by 2 radii.
360°
The set of output values for a function.

30. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
13
The union of A and B.
Parallelogram

31. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
x^(4+7) = x^11
Negative
(a - b)^2

32. 2³×7³
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.)
(2x7)³
48
53 - 59

33. (x-y)²
180°
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x²-2xy+y²

34. What are the irrational numbers?

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35. In any polygon - all external angles equal up to
9 & 6/7
360°
Positive
27^(-4)

36. The negative exponent x?n is equivalent to what?
A<-b
An angle which is supplementary to an interior angle.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
90°

37. Circumference of a circle
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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(pi)r
A=(base)(height)

38. (x+y)²
Right
Reciprocal
A=½bh
x²+2xy+y²

39. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Ø=P(E)=1
Even
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

40. Rate
12sqrt2
D/t (distance)/(time)
Indeterminable.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

41. Ø Is
y = (x + 5)/2
(rate)(time) d=rt
EVEN
(x+y)(x-y)

42. Formula to calculate arc length?
... the square of the ratios of the corresponding sides.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
N! / (n-k)!
Arc length = (n/360) x pi(2r) where n is the number of degrees.

43. 5/8 in percent?
62.5%
2
Relationship cannot be determined (what if x is negative?)
Negative

44. 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?
11 - 13 - 17 - 19
(amount of decrease/original price) x 100%
$3 -500 in the 9% and $2 -500 in the 7%.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

45. Area of a triangle?
(base*height) / 2
Even prime number
(length)(width)(height)
The sum of digits is divisible by 9.

46. What is the name for a grouping of the members within a set based on a shared characteristic?
= (actual decrease/Original amount) x 100%
A subset.
72
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

47. 7 divided by Ø
A = length x width
Diameter(Pi)
Null
Its divisible by 2 and by 3.

48. 10<all primes<20
6 : 1 : 2
11 - 13 - 17 - 19
B?b?b (where b is used as a factor n times)
(length)(width)(height)

49. The reciprocal of any non-zero number is
12sqrt2
1/x
Add them. i.e. (5^7) * (5^3) = 5^10
A reflection about the axis.

50. If a is negative and n is even then an is (positive or negative?)
x²-y²
16.6666%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
An is positive