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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. What is an isoceles triangle?
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 infinite set.
P(E) = 1/1 = 1
Two equal sides and two equal angles.

2. 25/2³
Every number
A central angle is an angle formed by 2 radii.
2²
62.5%

3. Pythagorean theorem
A²+b²=c²
6 : 1 : 2
12! / 5!7! = 792
The two xes after factoring.

4. 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?
360°
$3 -500 in the 9% and $2 -500 in the 7%.
(a + b)^2
9 : 25

5. Distance
x - x+1 - x+2
(rate)(time) d=rt
ODD number
Factors are few - multiples are many.

6. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
The set of elements found in both A and B.
Ab=k (k is a constant)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

7. What is the intersection of A and B?
The set of elements found in both A and B.
(a + b)^2
y = (x + 5)/2
10

8. (a^-1)/a^5
12.5%
1/a^6
A set with a number of elements which can be counted.
10! / 3!(10-3)! = 120

9. How to recognize a multiple of 6
P= 2L + 2w
90pi
Sum of digits is a multiple of 3 and the last digit is even.
A central angle is an angle formed by 2 radii.

10. Is 0 even or odd?
Even
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
6
9 & 6/7

11. 1 is a divisor of
10! / 3!(10-3)! = 120
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A 30-60-90 triangle.
Every number

12. What are congruent triangles?
13
C = 2(pi)r
Triangles with same measure and same side lengths.
Factors are few - multiples are many.

13. bn
Smallest positive integer
Sector area = (n/360) X (pi)r^2
B?b?b (where b is used as a factor n times)
A+c<b+c

14. If the two sides of a triangle are unequal then the longer side.................
A<-b
Add them. i.e. (5^7) * (5^3) = 5^10
Lies opposite the greater angle
(b + c)

15. What is a central angle?
C = (pi)d
A central angle is an angle formed by 2 radii.
(x+y)(x+y)
Indeterminable.

16. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
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)
Two (Ø×2=Ø)
Triangles with same measure and same side lengths.
Cd

17. Ø divided by 7
Ø
288 (8 9 4)
P= 2L + 2w
20.5

18. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
4:5
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
10! / (10-3)! = 720
... the square of the ratios of the corresponding sides.

19. If a lamp decreases to $80 - from $100 - what is the decrease in price?
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.)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
28
x²-y²

20. 10<all primes<20
Cd
11 - 13 - 17 - 19
A = length x width
$3 -500 in the 9% and $2 -500 in the 7%.

21. What is an arc of a circle?
1 & 37/132
Right
An arc is a portion of a circumference of a circle.
Two angles whose sum is 180.

22. What is the 'Range' of a function?
The set of output values for a function.
C = (pi)d
3
41 - 43 - 47

23. What is the 'Solution' for a set of inequalities.
A-b is negative
ODD number
The overlapping sections.
C = (pi)d

24. Slope of any line that goes up from left to right
The steeper the slope.
Positive
Relationship cannot be determined (what if x is negative?)
2²

25. Convert 0.7% to a fraction.
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)
Positive
7 / 1000
16.6666%

26. Product of any number and Ø is
Ø
A= (1/2) b*h
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.)
The two xes after factoring.

27. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
(2x7)³
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)
Diameter(Pi)

28. Circumference of a circle?
Diameter(Pi)
An isosceles right triangle.
C = (pi)d
Ø

29. x^6 / x^3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
N! / (k!)(n-k)!
A= (1/2) b*h
x^(6-3) = x^3

30. Probability of E not occurring:
Infinite.
Right
48
1 - P(E)

31. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Pi is the ratio of a circle'S circumference to its diameter.
The interesection of A and B.
The union of A and B.

32. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
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)
Null
True

33. If Event is impossible
P(E) = ø
F(x) + c
61 - 67
Ø

34. 20<all primes<30
3
The set of output values for a function.
23 - 29
V=l×w×h

35. What are the roots of the quadrinomial x^2 + 2x + 1?
441000 = 1 10 10 10 21 * 21
The two xes after factoring.
Edge³
3

36. What is the surface area of a cylinder with radius 5 and height 8?
Ø
130pi
Triangles with same measure and same side lengths.
V=side³

37. Area of a circle
(length)(width)(height)
M
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(pi)r²

38. 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
B?b?b (where b is used as a factor n times)
Two angles whose sum is 90.
360°
18

39. Evaluate (4^3)^2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
The direction of the inequality is reversed.
4096
The steeper the slope.

40. What are 'Supplementary angles?'
Ø
An arc is a portion of a circumference of a circle.
Two angles whose sum is 180.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

41. b¹
1
A= (1/2) b*h
28. n = 8 - k = 2. n! / k!(n-k)!
Straight Angle

42. Simplify 9^(1/2) X 4^3 X 2^(-6)?
1/a^6
1
3
.0004809 X 10^11

43. The consecutive angles in a parallelogram equal
C=2 x pi x r OR pi x D
A set with a number of elements which can be counted.
180°
72

44. In any polygon - all external angles equal up to
6 : 1 : 2
71 - 73 - 79
= (actual decrease/Original amount) x 100%
360°

45. What is the name for a grouping of the members within a set based on a shared characteristic?
26
A reflection about the origin.
angle that is greater than 90° but less than 180°
A subset.

46. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
The sum of the digits is a multiple of 9.
A = pi(r^2)
= (actual decrease/Original amount) x 100%

47. 1 is the
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
Be Zero!
y2-y1/x2-x1
Smallest positive integer

48. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
Ø Ø=Ø
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...
180
x²-y²

49. What is the area of a regular hexagon with side 6?
7 / 1000
EVEN
6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

50. Obtuse Angle
Factors are few - multiples are many.
angle that is greater than 90° but less than 180°
Cd
F(x-c)

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GRE Math: All In One

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