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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.
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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 triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
A²+b²=c²
Smallest positive integer
P=2(l+w)
13pi / 2

2. What is the 'Range' of a series of numbers?
M
P(E) = number of favorable outcomes/total number of possible outcomes
Reciprocal
The greatest value minus the smallest.

3. 3 is the opposite of
The sum of digits is divisible by 9.
6
A = pi(r^2)
3

4. b¹
1
(x+y)(x+y)
1/x
x - x(SR3) - 2x

5. Evaluate 3& 2/7 / 1/3
9 & 6/7
x²-y²
10
26

6. x^2 = 9. What is the value of x?
0
3 - -3
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
A reflection about the origin.

7. When multiplying exponential #s with the same base - you do this to the exponents...
x - x(SR3) - 2x
Add them. i.e. (5^7) * (5^3) = 5^10
Pi(diameter)
1

8. What are the smallest three prime numbers greater than 65?
Positive
67 - 71 - 73
1:sqrt3:2
(pi)r²

9. The perimeter of a square is 48 inches. The length of its diagonal is:
x²-2xy+y²
Sum of digits is a multiple of 3 and the last digit is even.
27
12sqrt2

10. The reciprocal of any non-zero #x is
x²-2xy+y²
1/x
72
The sum of its digits is divisible by 3.

11. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
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.)
$11 -448
x²-y²
A multiple of every integer

12. (x-y)²
y = 2x^2 - 3
8
x²-2xy+y²
A<-b

13. Circumference of a circle
2(pi)r
1.7
1/x
Infinite.

14. What are the integers?
90°
130pi
y/x is a constant
All numbers multiples of 1.

15. Perimeter of a rectangle
1
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Triangles with same measure and same side lengths.
P= 2L + 2w

16. a^2 - b^2 =
angle that is greater than 90° but less than 180°
12! / 5!7! = 792
(a - b)(a + b)
2.592 kg

17. Evaluate (4^3)^2
4096
1/x
18
2²

18. To multiply a number by 10^x
9
C = (pi)d
Move the decimal point to the right x places
130pi

19. Probability of E not occurring:
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Triangles with same measure and same side lengths.
1 - P(E)
D=rt so r= d/t and t=d/r

20. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
Reciprocal
2sqrt6
4:5

21. If the two sides of a triangle are unequal then the longer side.................
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The interesection of A and B.
Undefined
Lies opposite the greater angle

22. First 10 prime #s
5
The set of input values for a function.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

23. the slope of a line in y=mx+b
3/2 - 5/3
M
(base*height) / 2
Smallest positive integer

24. 30 60 90
3x - 4x - 5x
13pi / 2
The steeper the slope.
1 - P(E)

25. Pythagorean theorem
Can be negative - zero - or positive
61 - 67
A²+b²=c²
P=4s (s=side)

26. The sum of the measures of the n angles in a polygon with n sides
Sum of digits is a multiple of 3 and the last digit is even.
(n-2) x 180
Ø=P(E)=1
(a - b)^2

27. (x^2)^4
23 - 29
Smallest positive integer
x^(2(4)) =x^8 = (x^4)^2
1:1:sqrt2

28. What are congruent triangles?
Two (Ø×2=Ø)
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.)
Distance=rate×time or d=rt
Triangles with same measure and same side lengths.

29. What is the side length of an equilateral triangle with altitude 6?
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...
1
(pi)r²
75:11

30. 2³×7³
(2x7)³
N! / (k!)(n-k)!
Positive or Negative
(amount of decrease/original price) x 100%

31. factored binomial product of (x-y)²
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1/x
x²-2xy+y²
A multiple of every integer

32. Simplify the expression (p^2 - q^2)/ -5(q - p)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(p + q)/5
The sum of digits is divisible by 9.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

33. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
... the square of the ratios of the corresponding sides.
3 - -3
y = 2x^2 - 3
4.25 - 6 - 22

34. A number is divisible by 6 if...
x²+2xy+y²
Its divisible by 2 and by 3.
The point of intersection of the systems.
Even

35. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Ø=P(E)=1
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)
4725
Undefined - because we can'T divide by 0.

36. 1/Ø=null If a>b then
A<-b
x(x - y + 1)
Two angles whose sum is 90.
4725

37. A quadrilateral where two diagonals bisect each other
Parallelogram
The sum of the digits is a multiple of 9.
55%
1

38. -3³
9 : 25
Even
1:sqrt3:2
27

39. What percent of 40 is 22?
27^(-4)
4096
55%
180°

40. What is the measure of an exterior angle of a regular pentagon?
y/x is a constant
C = (pi)d
72
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

41. factored binomial product of (x+y)²
x²+2xy+y²
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.
X
The empty set - denoted by a circle with a diagonal through it.

42. binomial product of (x+y)²
16.6666%
(x+y)(x+y)
A natural number greater than 1 that has no positive divisors other than 1 and itself
18

43. Find the surface area of a cylinder with radius 3 and height 12.
(rate)(time) d=rt
Triangles with same measure and same side lengths.
Positive
90pi

44. P and r are factors of 100. What is greater - pr or 100?
A percent is a fraction whose denominator is 100.
Indeterminable.
The set of output values for a function.
V=Lwh

45. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Positive or Negative
(rate)(time) d=rt
The steeper the slope.
12! / 5!7! = 792

46. 20<all primes<30
x^(6-3) = x^3
1
A set with no members - denoted by a circle with a diagonal through it.
23 - 29

47. Consecutive integers
Ab+ac
Smallest positive integer
x - x+1 - x+2
1/x

48. Circumference of a circle?
A tangent is a line that only touches one point on the circumference of a circle.
A reflection about the origin.
Diameter(Pi)
C = (pi)d

49. Describe the relationship between the graphs of x^2 and (1/2)x^2
288 (8 9 4)
Move the decimal point to the right x places
The second graph is less steep.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

50. 6w^2 - w - 15 = 0
P(E) = ø
3/2 - 5/3
(pi)r²
1

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GRE Math: All In One

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