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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. A number is divisible by 9 if...
The sum of digits is divisible by 9.
26
A<-b
Straight Angle

2. In a rectangle - all angles are
The union of A and B.
Add them. i.e. (5^7) * (5^3) = 5^10
Right
(a + b)^2

3. One is (a prime or not?)
Ø
Relationship cannot be determined (what if x is negative?)
NOT A PRIME
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

4. What are 'Supplementary angles?'
NOT A PRIME
Two angles whose sum is 180.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
70

5. 2 is the only
Even prime number
D=rt so r= d/t and t=d/r
9 & 6/7
5 OR -5

6. Pythagorean theorem
A²+b²=c²
Distance=rate×time or d=rt
Negative
5 OR -5

7. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
A<-b
Negative
A natural number greater than 1 that has no positive divisors other than 1 and itself

8. Can you simplify sqrt72?
x^(4+7) = x^11
Diameter(Pi)
2(pi)r
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

9. 1/2 divided by 3/7 is the same as
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
1/2 times 7/3
(a - b)(a + b)
90pi

10. Convert 0.7% to a fraction.
7 / 1000
The objects within a set.
360°
13pi / 2

11. Acute Angle
an angle that is less than 90°
71 - 73 - 79
Ab+ac
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

12. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
P(E) = ø
2(pi)r
26

13. A quadrilateral where two diagonals bisect each other
Parallelogram
10
Sector area = (n/360) X (pi)r^2
288 (8 9 4)

14. What is an exterior angle?
Positive
An angle which is supplementary to an interior angle.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Edge³

15. An Angle that'S 180°
1
9 : 25
180 degrees
Straight Angle

16. 1 is an
(length)(width)(height)
55%
ODD number
= (actual decrease/Original amount) x 100%

17. What is the intersection of A and B?
The set of elements found in both A and B.
Indeterminable.
55%
angle that is greater than 90° but less than 180°

18. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
F(x) - c
(distance)/(rate) d/r
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.)

19. The consecutive angles in a parallelogram equal
180°
Parallelogram
3 - 4 - 5
4725

20. Area of a triangle
The set of elements which can be found in either A or B.
360°
A= (1/2) b*h
Can be negative - zero - or positive

21. Area of a triangle?
1/x
360/n
(base*height) / 2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

22. What is the set of elements found in both A and B?
A chord is a line segment joining two points on a circle.
x - x(SR3) - 2x
The interesection of A and B.
1

23. 10<all primes<20
The point of intersection of the systems.
(amount of decrease/original price) x 100%
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.)
11 - 13 - 17 - 19

24. What is the set of elements which can be found in either A or B?
1 - P(E)
N! / (k!)(n-k)!
A reflection about the axis.
The union of A and B.

25. a/Ø
Null
28. n = 8 - k = 2. n! / k!(n-k)!
90
The set of elements which can be found in either A or B.

26. -3³
52
27
(x+y)(x+y)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

27. What are the roots of the quadrinomial x^2 + 2x + 1?
The set of output values for a function.
The two xes after factoring.
41 - 43 - 47
(a - b)(a + b)

28. Area of a circle
A set with a number of elements which can be counted.
Positive
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
(pi)r²

29. The larger the absolute value of the slope...
72
The steeper the slope.
The direction of the inequality is reversed.
(n-2) x 180

30. 3/8 in percent?
1
37.5%
A-b is positive
A natural number greater than 1 that has no positive divisors other than 1 and itself

31. Area of a rectangle
(a - b)(a + b)
16.6666%
A = length x width
3 - -3

32. P and r are factors of 100. What is greater - pr or 100?
x(x - y + 1)
23 - 29
Can be negative - zero - or positive
Indeterminable.

33. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
2²
F(x-c)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A reflection about the axis.

34. How do you solve proportions? a/b=c/d
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
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.)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
P(E) = ø

35. 30 60 90
(2x7)³
A central angle is an angle formed by 2 radii.
2^9 / 2 = 256
5 - 12 - 13

36. Positive integers that have exactly 2 positive divisors are
1
A multiple of every integer
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The greatest value minus the smallest.

37. Volume of a rectangular solid
P= 2L + 2w
x^(4+7) = x^11
9
(length)(width)(height)

38. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
The set of input values for a function.
2.592 kg
x²+2xy+y²
8

39. Which is greater? 64^5 or 16^8
y = 2x^2 - 3
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Even
5 OR -5

40. What is the graph of f(x) shifted right c units or spaces?
0
1:1:sqrt2
F(x-c)
90°

41. Ø is
P= 2L + 2w
The interesection of A and B.
A multiple of every integer
3

42. a(b-c)
Ab-ac
Cd
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
62.5%

43. 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?
12.5%
9
The shortest arc between points A and B on a circle'S diameter.
$3 -500 in the 9% and $2 -500 in the 7%.

44. What is a percent?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
A percent is a fraction whose denominator is 100.
Smallest positive integer
1

45. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
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
Factors are few - multiples are many.
Pi(diameter)

46. Simplify the expression [(b^2 - c^2) / (b - c)]
x(x - y + 1)
M= (Y1-Y2)/(X1-X2)
(b + c)
(distance)/(rate) d/r

47. 70 < all primes< 80
71 - 73 - 79
F(x) + c
Reciprocal
(length)(width)(height)

48. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
3x - 4x - 5x
4:5
Ø
The set of elements found in both A and B.

49. 3 is the opposite of
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
3
Even prime number
4725

50. Simplify 9^(1/2) X 4^3 X 2^(-6)?
A=(base)(height)
3
1/a^6
Be Zero!