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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
A set with no members - denoted by a circle with a diagonal through it.
x - x+1 - x+2
The overlapping sections.

2. a^0 =
An infinite set.
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)
10! / 3!(10-3)! = 120
1

3. When multiplying exponential #s with the same base - you do this to the exponents...
The point of intersection of the systems.
Positive
Add them. i.e. (5^7) * (5^3) = 5^10
(base*height) / 2

4. What percent of 40 is 22?
55%
1 & 37/132
Members or elements
ODD number

5. 6w^2 - w - 15 = 0
x - x(SR3) - 2x
4725
3/2 - 5/3
an angle that is less than 90°

6. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Positive or Negative
41 - 43 - 47
4:5
Infinite.

7. How to recognize a # as a multiple of 4
62.5%
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.)
D=rt so r= d/t and t=d/r
2 & 3/7

8. How many sides does a hexagon have?
Ø
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Two angles whose sum is 90.
6

9. The percent decrease of a quantity
360°
= (actual decrease/Original amount) x 100%
An expression with just one term (-6x - 2a^2)
(a + b)^2

10. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Two (Ø×2=Ø)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

11. If E is certain
18
4:5
Pi is the ratio of a circle'S circumference to its diameter.
P(E) = 1/1 = 1

12. What is the graph of f(x) shifted left c units or spaces?
1
F(x + c)
Ø
x²-2xy+y²

13. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
ODD number
A tangent is a line that only touches one point on the circumference of a circle.
28

14. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
Ab+ac
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.)
An arc is a portion of a circumference of a circle.

15. When dividing exponential #s with the same base - you do this to the exponents...
angle that is greater than 90° but less than 180°
C=2 x pi x r OR pi x D
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Subtract them. i.e (5^7)/(5^3)= 5^4

16. Any Horizontal line slope
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
zero
Ø Ø=Ø
A= (1/2) b*h

17. What is the sum of the angles of a triangle?
180 degrees
1
(a + b)^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

18. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1.7
P(E) = ø
A<-b

19. Legs: 3 - 4. Hypotenuse?
A set with no members - denoted by a circle with a diagonal through it.
5
Ø Ø=Ø
Sum of digits is a multiple of 3 and the last digit is even.

20. x^2 = 9. What is the value of x?
3 - -3
3
The sum of digits is divisible by 9.
(a - b)(a + b)

21. a<b then a - b is positive or negative?
(distance)/(rate) d/r
1 & 37/132
A-b is negative
Yes - like radicals can be added/subtracted.

22. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
5 OR -5
M= (Y1-Y2)/(X1-X2)
12! / 5!7! = 792
9 : 25

23. In a Rectangle - each angles measures
Members or elements
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
90°
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

24. What is the name of set with a number of elements which cannot be counted?
$11 -448
The overlapping sections.
(b + c)
An infinite set.

25. To increase a number by x%
1
An isosceles right triangle.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2(pi)r

26. The sum of the measures of the n angles in a polygon with n sides
1/a^6
(n-2) x 180
61 - 67
The direction of the inequality is reversed.

27. 30< all primes<40
A multiple of every integer
A+c<b+c
(a + b)^2
31 - 37

28. What is the set of elements which can be found in either A or B?
13
The union of A and B.
180°
(n-2) x 180

29. What is the maximum value for the function g(x) = (-2x^2) -1?
61 - 67
360/n
True
1

30. What is the 'Range' of a series of numbers?
2(pi)r
y = 2x^2 - 3
The greatest value minus the smallest.
EVEN

31. formula for volume of a rectangular solid
83.333%
12sqrt2
1:sqrt3:2
V=l×w×h

32. factored binomial product of (x-y)²
11 - 13 - 17 - 19
M= (Y1-Y2)/(X1-X2)
NOT A PRIME
x²-2xy+y²

33. Volume of a rectangular solid
18
An expression with just one term (-6x - 2a^2)
F(x) + c
(length)(width)(height)

34. Probability of E not occurring:
The set of input values for a function.
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 - P(E)
C = (pi)d

35. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A=½bh
x^(2(4)) =x^8 = (x^4)^2
2 & 3/7
A percent is a fraction whose denominator is 100.

36. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
A<-b
8
6
A=½bh

37. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
3 - -3
13pi / 2
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
18

38. Legs 6 - 8. Hypotenuse?
72
C = (pi)d
10
F(x) - c

39. What is the ratio of the sides of an isosceles right triangle?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
angle that is greater than 90° but less than 180°
An is positive
1:1:sqrt2

40. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
1
27
72

41. The objects in a set are called two names:
Members or elements
9 & 6/7
8
5

42. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
16.6666%
True
The second graph is less steep.

43. Factor a^2 + 2ab + b^2
A=(base)(height)
10! / (10-3)! = 720
1
(a + b)^2

44. Ø is a multiple of
3x - 4x - 5x
1/a^6
Every number
Cd

45. Describe the relationship between 3x^2 and 3(x - 1)^2
72
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Straight Angle
An infinite set.

46. Ø is a multiple of
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
V=l×w×h
Two (Ø×2=Ø)
360°

47. The Perimeter of a Square
72
A central angle is an angle formed by 2 radii.
A = pi(r^2)
P=4s (s=side)

48. Ø²
3
A multiple of every integer
M= (Y1-Y2)/(X1-X2)
Ø

49. 60 < all primes <70
61 - 67
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
y = 2x^2 - 3
1/x

50. 30 60 90
The two xes after factoring.
x - x(SR3) - 2x
V=side³
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

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GRE Math: All In One

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