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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. x^2 = 9. What is the value of x?
An infinite set.
3 - -3
Ø=P(E)=1
An algebraic expression is a combination of one of more terms. Terms in an expression are separated by either addition or subtraction signs. (3xy - 4ab - -5cd - x^2 + x - 1)

2. The product of odd number of negative numbers
Two angles whose sum is 180.
Subtract them. i.e (5^7)/(5^3)= 5^4
Negative
41 - 43 - 47

3. If y is directly proportional to x - what does it equal?
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)
360/n
... the square of the ratios of the corresponding sides.
y/x is a constant

4. What is the graph of f(x) shifted right c units or spaces?
1/x
1
F(x-c)
12! / 5!7! = 792

5. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
A = length x width
2.592 kg
2²
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

6. 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))?
(n-2) x 180
P=2(l+w)
A central angle is an angle formed by 2 radii.
20.5

7. What is the measure of an exterior angle of a regular pentagon?
Ø Ø=Ø
Its last two digits are divisible by 4.
72
1.7

8. How to recognize a # as a multiple of 9
Pi is the ratio of a circle'S circumference to its diameter.
12sqrt2
The sum of the digits is a multiple of 9.
Its last two digits are divisible by 4.

9. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
13
The empty set - denoted by a circle with a diagonal through it.
True
48

10. Legs: 3 - 4. Hypotenuse?
5
Two equal sides and two equal angles.
0
A natural number greater than 1 that has no positive divisors other than 1 and itself

11. Any Horizontal line slope
zero
x(x - y + 1)
Ø
1.7

12. 1/2 divided by 3/7 is the same as
1/2 times 7/3
A²+b²=c²
3
23 - 29

13. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
The shortest arc between points A and B on a circle'S diameter.
9 & 6/7
A set with no members - denoted by a circle with a diagonal through it.

14. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
6
1
D/t (distance)/(time)
A central angle is an angle formed by 2 radii.

15. 30< all primes<40
12.5%
Pi is the ratio of a circle'S circumference to its diameter.
Two (Ø×2=Ø)
31 - 37

16. Evaluate 3& 2/7 / 1/3
(2x7)³
Straight Angle
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
9 & 6/7

17. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
Even
A reflection about the axis.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A = pi(r^2)

18. a^2 - b^2
A²+b²=c²
(a - b)(a + b)
28. n = 8 - k = 2. n! / k!(n-k)!
x - x+1 - x+2

19. What is a chord of a circle?
4a^2(b)
A²+b²=c²
37.5%
A chord is a line segment joining two points on a circle.

20. What is the graph of f(x) shifted left c units or spaces?
(length)(width)(height)
F(x + c)
1 & 37/132
(2x7)³

21. Ø divided by 7
6
The second graph is less steep.
Ø
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

22. 1 is the
A-b is negative
2 & 3/7
P=4s (s=side)
Smallest positive integer

23. 25+2³
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
28
Ab=k (k is a constant)
180°

24. The Perimeter of a rectangle
P=2(l+w)
x^(4+7) = x^11
B?b?b (where b is used as a factor n times)
A=pi*(r^2)

25. Ø²
180°
Ø
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A multiple of every integer

26. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The two xes after factoring.
Even
F(x-c)

27. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
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.
2(pi)r
441000 = 1 10 10 10 21 * 21

28. a(b+c)
62.5%
(b + c)
Ab+ac
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

29. What is a central angle?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
D=rt so r= d/t and t=d/r
A central angle is an angle formed by 2 radii.
9 : 25

30. 1 is an
A central angle is an angle formed by 2 radii.
D=rt so r= d/t and t=d/r
ODD number
N! / (k!)(n-k)!

31. Circumference of a Circle
71 - 73 - 79
A=½bh
360°
C=2 x pi x r OR pi x D

32. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(amount of decrease/original price) x 100%
P= 2L + 2w
Cd

33. 30 60 90
y2-y1/x2-x1
3 - 4 - 5
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.
A central angle is an angle formed by 2 radii.

34. What is the maximum value for the function g(x) = (-2x^2) -1?
1
(a + b)^2
37.5%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

35. (x-y)(x+y)
26
5 - 12 - 13
x²-y²
Sum of digits is a multiple of 3 and the last digit is even.

36. 25/2³
(amount of decrease/original price) x 100%
The union of A and B.
2²
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.)

37. Ø is a multiple of
3 - -3
3
Two (Ø×2=Ø)
(amount of decrease/original price) x 100%

38. a^0 =
Straight Angle
52
1
Cd

39. To increase a number by x%
Triangles with same measure and same side lengths.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Every number
Two equal sides and two equal angles.

40. Which is greater? 64^5 or 16^8
Add them. i.e. (5^7) * (5^3) = 5^10
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
y2-y1/x2-x1
P(E) = number of favorable outcomes/total number of possible outcomes

41. 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
18
Indeterminable.
360°
A chord is a line segment joining two points on a circle.

42. 7 divided by Ø
10! / (10-3)! = 720
(n-2) x 180
Null
D/t (distance)/(time)

43. formula for area of a triangle
Triangles with same measure and same side lengths.
A=½bh
180
The overlapping sections.

44. Circumference of a circle
2(pi)r
3 - -3
x - x(SR3) - 2x
Every number

45. formula for the volume of a cube
37.5%
The shortest arc between points A and B on a circle'S diameter.
N! / (n-k)!
V=side³

46. If a lamp decreases to $80 - from $100 - what is the decrease in price?
20.5
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
x²-y²
ODD number

47. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
Two angles whose sum is 180.
10! / 3!(10-3)! = 120
N! / (n-k)!

48. If a is inversely porportional to b - what does it equal?
1/x
87.5%
Ab=k (k is a constant)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

49. Simplify the expression (p^2 - q^2)/ -5(q - p)
= (actual decrease/Original amount) x 100%
90°
(p + q)/5
Reciprocal

50. Reduce: 4.8 : 0.8 : 1.6
A tangent is a line that only touches one point on the circumference of a circle.
6 : 1 : 2
Ø
The point of intersection of the systems.