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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. 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?
10! / 3!(10-3)! = 120
x^(6-3) = x^3
V=l×w×h
M= (Y1-Y2)/(X1-X2)

2. The negative exponent x?n is equivalent to what?
A central angle is an angle formed by 2 radii.
Right
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
2(pi)r

3. Dividing by a number is the same as multiplying it by its
The direction of the inequality is reversed.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Reciprocal
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

4. Solve the quadratic equation ax^2 + bx + c= 0
An expression with just one term (-6x - 2a^2)
ODD number
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Lies opposite the greater angle

5. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
5 - 12 - 13
Null
2.592 kg

6. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
The shortest arc between points A and B on a circle'S diameter.
Every number
Ø

7. How to determine percent decrease?
360°
(amount of decrease/original price) x 100%
(a + b)^2
The two xes after factoring.

8. (a^-1)/a^5
Ø
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1/a^6
P=2(l+w)

9. -3²
7 / 1000
The sum of digits is divisible by 9.
9
P=4s (s=side)

10. 3/8 in percent?
Ø Ø=Ø
37.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Negative

11. What is the name of set with a number of elements which cannot be counted?
9 & 6/7
180
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
An infinite set.

12. Area of a circle
A=pi*(r^2)
A=½bh
Negative
Positive

13. Perfect Squares 1-15
x - x+1 - x+2
360/n
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

14. What is the graph of f(x) shifted right c units or spaces?
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.)
x²-2xy+y²
F(x-c)
72

15. 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?
4.25 - 6 - 22
A percent is a fraction whose denominator is 100.
N! / (k!)(n-k)!
y/x is a constant

16. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
3x - 4x - 5x
Cd
P=4s (s=side)
(amount of decrease/original price) x 100%

17. What is the ratio of the sides of an isosceles right triangle?
6
1:1:sqrt2
7 / 1000
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

18. The sum of the measures of the n angles in a polygon with n sides
1
(distance)/(rate) d/r
61 - 67
(n-2) x 180

19. A number is divisible by 9 if...
The sum of digits is divisible by 9.
360°
4.25 - 6 - 22
B?b?b (where b is used as a factor n times)

20. 1/6 in percent?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
16.6666%
0
13pi / 2

21. Distance
Subtract them. i.e (5^7)/(5^3)= 5^4
N! / (n-k)!
(rate)(time) d=rt
V=Lwh

22. 2³×7³
4725
The sum of digits is divisible by 9.
360/n
(2x7)³

23. Formula to calculate arc length?
A natural number greater than 1 that has no positive divisors other than 1 and itself
y = 2x^2 - 3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The sum of the digits is a multiple of 9.

24. (12sqrt15) / (2sqrt5) =
x²+2xy+y²
Negative
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A reflection about the axis.

25. (6sqrt3) x (2sqrt5) =
$11 -448
2(pi)r
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
70

26. What is the empty set?
A central angle is an angle formed by 2 radii.
A set with no members - denoted by a circle with a diagonal through it.
90pi
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

27. 30 60 90
Two angles whose sum is 180.
0
True
5 - 12 - 13

28. First 10 prime #s
441000 = 1 10 10 10 21 * 21
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
y = (x + 5)/2
A percent is a fraction whose denominator is 100.

29. Circumference of a circle
2(pi)r
180
20.5
(a - b)(a + b)

30. Circumference of a circle?
Positive or Negative
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
4096
Diameter(Pi)

31. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
Be Zero!
Ø
1

32. Ø Is
N! / (k!)(n-k)!
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
7 / 1000
EVEN

33. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
4:5
20.5
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

34. Simplify the expression (p^2 - q^2)/ -5(q - p)
4:5
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(p + q)/5
75:11

35. The product of any number x and its reciprocal
1
Ø
x²-y²
P(E) = 1/1 = 1

36. If a is positive - an is
y/x is a constant
Positive
Cd
1/x

37. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
Two angles whose sum is 180.
288 (8 9 4)
Undefined

38. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
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)
Negative

39. What is a major arc?

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40. Consecutive integers
x²-y²
y = (x + 5)/2
x - x+1 - x+2
20.5

41. The reciprocal of any non-zero number is
P(E) = ø
1/x
P=4s (s=side)
61 - 67

42. In a Regular Polygon - the measure of each exterior angle
The steeper the slope.
x²+2xy+y²
72
360/n

43. Reduce: 4.8 : 0.8 : 1.6
180
180°
6
6 : 1 : 2

44. Can you add sqrt 3 and sqrt 5?
Distance=rate×time or d=rt
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
C = (pi)d
No - only like radicals can be added.

45. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A+c<b+c
The two xes after factoring.
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

46. If a<b - then
A+c<b+c
20.5
The direction of the inequality is reversed.
1 - P(E)

47. What are the rational numbers?
D/t (distance)/(time)
An infinite set.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An is positive

48. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
48
28. n = 8 - k = 2. n! / k!(n-k)!
72

49. 30 60 90
An infinite set.
3 - 4 - 5
A reflection about the origin.
x²-y²

50. The reciprocal of any non-zero #x is
1/x
1.7
180
A=(base)(height)