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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. If a<b - then
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)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
x(x - y + 1)
A+c<b+c

2. Circumference of a circle
Cd
Pi(diameter)
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
A chord is a line segment joining two points on a circle.

3. 7 divided by Ø
Null
67 - 71 - 73
10! / 3!(10-3)! = 120
P=2(l+w)

4. Circumference of a Circle
(a - b)^2
C=2 x pi x r OR pi x D
(a + b)^2
37.5%

5. What is an exterior angle?
x^(6-3) = x^3
Members or elements
(a + b)^2
An angle which is supplementary to an interior angle.

6. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
C=2 x pi x r OR pi x D
Even
x²-2xy+y²

7. a(b-c)
A tangent is a line that only touches one point on the circumference of a circle.
Ab-ac
83.333%
4.25 - 6 - 22

8. What are the real numbers?
Be Zero!
6
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)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

9. Circumference of a circle?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Relationship cannot be determined (what if x is negative?)
Diameter(Pi)
1

10. Legs 6 - 8. Hypotenuse?
10
NOT A PRIME
Null
360°

11. formula for distance problems
A=(base)(height)
V=l×w×h
Distance=rate×time or d=rt
A central angle is an angle formed by 2 radii.

12. 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?
D/t (distance)/(time)
9 : 25
1/x
Pi is the ratio of a circle'S circumference to its diameter.

13. Can you add sqrt 3 and sqrt 5?
The sum of its digits is divisible by 3.
No - only like radicals can be added.
Straight Angle
A multiple of every integer

14. The product of any number x and its reciprocal
1
A grouping of the members within a set based on a shared characteristic.
2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

15. The Perimeter of a Square
F(x) - c
90pi
P=4s (s=side)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

16. Can you subtract 3sqrt4 from sqrt4?
288 (8 9 4)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
0
Yes - like radicals can be added/subtracted.

17. 0^0
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Be Zero!
(amount of decrease/original price) x 100%
Undefined

18. 25+2³
Ø
28
angle that is greater than 90° but less than 180°
Be Zero!

19. What is the measure of an exterior angle of a regular pentagon?
The sum of digits is divisible by 9.
Its last two digits are divisible by 4.
Its divisible by 2 and by 3.
72

20. What is the empty set?
Undefined
P= 2L + 2w
The overlapping sections.
A set with no members - denoted by a circle with a diagonal through it.

21. Number of degrees in a triangle
A+c<b+c
B?b?b (where b is used as a factor n times)
180
1 - P(E)

22. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
90°
x - x(SR3) - 2x
Infinite.

23. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
(n-2) x 180
1/2 times 7/3
zero

24. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
16.6666%
Diameter(Pi)
180°

25. Probability of E not occurring:
41 - 43 - 47
1 - P(E)
52
Be Zero!

26. 25/2³
A²+b²=c²
2²
A reflection about the origin.
90

27. Ø is
Be Zero!
x²-y²
A multiple of every integer
28. n = 8 - k = 2. n! / k!(n-k)!

28. If the two sides of a triangle are unequal then the longer side.................
288 (8 9 4)
x²+2xy+y²
Lies opposite the greater angle
6 : 1 : 2

29. Find the surface area of a cylinder with radius 3 and height 12.
20.5
4:5
90pi
All numbers multiples of 1.

30. (6sqrt3) x (2sqrt5) =
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
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1.7
F(x) + c

31. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
Triangles with same measure and same side lengths.
2²
... the square of the ratios of the corresponding sides.

32. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
A-b is positive
(length)(width)(height)
y/x is a constant
18

33. Find distance when given time and rate
D=rt so r= d/t and t=d/r
A reflection about the origin.
$3 -500 in the 9% and $2 -500 in the 7%.
P= 2L + 2w

34. Ø divided by 7
1
Ø
48
(a - b)(a + b)

35. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
True
360/n
90
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

36. 25^(1/2) or sqrt. 25 =
5 OR -5
87.5%
3x - 4x - 5x
Ø

37. 5/6 in percent?
83.333%
1
90
P=2(l+w)

38. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Its divisible by 2 and by 3.
12! / 5!7! = 792
4725
Yes - like radicals can be added/subtracted.

39. Simplify 9^(1/2) X 4^3 X 2^(-6)?
The interesection of A and B.
3
Positive
20.5

40. A number is divisible by 9 if...
x²-y²
The sum of digits is divisible by 9.
7 / 1000
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

41. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
13
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.
10! / 3!(10-3)! = 120
P= 2L + 2w

42. Volume of a rectangular box
Positive
No - only like radicals can be added.
A=½bh
V=Lwh

43. 8.84 / 5.2
1.7
Two angles whose sum is 90.
D=rt so r= d/t and t=d/r
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

44. The sum of all angles around a point
3 - 4 - 5
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
360°
130pi

45. 30 60 90
5 - 12 - 13
3x - 4x - 5x
1/2 times 7/3
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...

46. What is a major arc?

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47. What is a percent?
A percent is a fraction whose denominator is 100.
Reciprocal
10! / (10-3)! = 720
F(x) + c

48. 2³×7³
(2x7)³
5 - 12 - 13
Can be negative - zero - or positive
180°

49. What number between 70 & 75 - inclusive - has the greatest number of factors?
An angle which is supplementary to an interior angle.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
72
D=rt so r= d/t and t=d/r

50. What is the sum of the angles of a triangle?
Ab-ac
y/x is a constant
Two equal sides and two equal angles.
180 degrees

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GRE Math: All In One

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