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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. What is the area of a regular hexagon with side 6?
10! / 3!(10-3)! = 120
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
= (actual decrease/Original amount) x 100%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

2. a^2 - 2ab + b^2
6
A percent is a fraction whose denominator is 100.
(a - b)^2
C=2 x pi x r OR pi x D

3. Ø is
Even
Even prime number
31 - 37
y/x is a constant

4. The Perimeter of a Square
2²
Sector area = (n/360) X (pi)r^2
P=4s (s=side)
61 - 67

5. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
Ø=P(E)=1
A-b is positive
180

6. The sum of all angles around a point
9 : 25
A natural number greater than 1 that has no positive divisors other than 1 and itself
360°
1

7. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
x²+2xy+y²
9
The set of output values for a function.

8. Time
V=l×w×h
N! / (k!)(n-k)!
(distance)/(rate) d/r
Null

9. Formula to find a circle'S circumference from its diameter?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A multiple of every integer
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...
C = (pi)d

10. The larger the absolute value of the slope...
NOT A PRIME
Ø Ø=Ø
The steeper the slope.
8

11. Volume of a rectangular solid
(length)(width)(height)
Indeterminable.
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)
Diameter(Pi)

12. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
12! / 5!7! = 792
No - only like radicals can be added.
The sum of the digits is a multiple of 9.

13. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
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.)
3
The set of elements found in both A and B.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

14. The ratio of the areas of two similar polygons is ...
Cd
... the square of the ratios of the corresponding sides.
An angle which is supplementary to an interior angle.
A 30-60-90 triangle.

15. Evaluate (4^3)^2
48
The set of output values for a function.
4096
3

16. Describe the relationship between the graphs of x^2 and (1/2)x^2
No - only like radicals can be added.
Its divisible by 2 and by 3.
The second graph is less steep.
An is positive

17. 3 is the opposite of
41 - 43 - 47
The interesection of A and B.
3
Its last two digits are divisible by 4.

18. If a is negative and n is even then an is (positive or negative?)
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.)
Sector area = (n/360) X (pi)r^2
The second graph is less steep.
An is positive

19. 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
F(x) - c
360°
7 / 1000
180

20. Simplify the expression (p^2 - q^2)/ -5(q - p)
180
(a - b)^2
(p + q)/5
The set of input values for a function.

21. a(b+c)
The longest arc between points A and B on a circle'S diameter.
angle that is greater than 90° but less than 180°
N! / (n-k)!
Ab+ac

22. Can you add sqrt 3 and sqrt 5?
(n-2) x 180
83.333%
Even
No - only like radicals can be added.

23. a^2 + 2ab + b^2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A<-b
Ø
(a + b)^2

24. Area of a triangle
1:sqrt3:2
A= (1/2) b*h
Every number
A-b is positive

25. 8.84 / 5.2
1.7
A reflection about the origin.
EVEN
1

26. 70 < all primes< 80
180 degrees
(amount of decrease/original price) x 100%
P(E) = ø
71 - 73 - 79

27. What is the 'domain' of a function?
A+c<b+c
441000 = 1 10 10 10 21 * 21
$11 -448
The set of input values for a function.

28. How to recognize a # as a multiple of 4
The sum of its digits is divisible by 3.
$3 -500 in the 9% and $2 -500 in the 7%.
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.)
The point of intersection of the systems.

29. Define a 'monomial'
500
An expression with just one term (-6x - 2a^2)
A<-b
(pi)r²

30. 1/8 in percent?
Be Zero!
12.5%
26
The sum of the digits is a multiple of 9.

31. Circumference of a Circle
C=2 x pi x r OR pi x D
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x - x+1 - x+2

32. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
500
Be Zero!
A+c<b+c

33. Perfect Squares 1-15
Members or elements
N! / (n-k)!
(x+y)(x+y)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

34. Area of a circle
Ab-ac
(pi)r²
y = (x + 5)/2
Subtract them. i.e (5^7)/(5^3)= 5^4

35. What are 'Supplementary angles?'
1
Two angles whose sum is 180.
y = 2x^2 - 3
Reciprocal

36. 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?
x - x(SR3) - 2x
M
18
N! / (k!)(n-k)!

37. 1/2 divided by 3/7 is the same as
9 : 25
20.5
1/2 times 7/3
6

38. Any Horizontal line slope
1
zero
Negative
(n-2) x 180

39. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
67 - 71 - 73
2(pi)r
(a + b)^2

40. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
1 & 37/132
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)
18
75:11

41. What are the members or elements of a set?
13pi / 2
The objects within a set.
The steeper the slope.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

42. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
All numbers multiples of 1.
28. n = 8 - k = 2. n! / k!(n-k)!
2
C=2 x pi x r OR pi x D

43. 30 60 90
The greatest value minus the smallest.
83.333%
A reflection about the origin.
3 - 4 - 5

44. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
90°
Negative

45. What is an arc of a circle?
x - x(SR3) - 2x
500
An arc is a portion of a circumference of a circle.
x(x - y + 1)

46. 25^(1/2) or sqrt. 25 =
Infinite.
5 OR -5
P=2(l+w)
An is positive

47. What is the name for a grouping of the members within a set based on a shared characteristic?
4725
A subset.
75:11
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)

48. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
10! / (10-3)! = 720
10
8
(distance)/(rate) d/r

49. What is a finite set?
(2x7)³
Ab-ac
A set with a number of elements which can be counted.
9

50. How to determine percent decrease?
(amount of decrease/original price) x 100%
(base*height) / 2
1
x^(4+7) = x^11