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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. a(b-c)
(length)(width)(height)
72
Its divisible by 2 and by 3.
Ab-ac

2. What are complementary angles?
3
Two angles whose sum is 90.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
D=rt so r= d/t and t=d/r

3. 1n
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
P(E) = number of favorable outcomes/total number of possible outcomes
1
An is positive

4. (a^-1)/a^5
1/a^6
(a + b)^2
V=Lwh
Right

5. 1/Ø=null If a>b then
A<-b
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.)
(distance)/(rate) d/r
75:11

6. Solve the quadratic equation ax^2 + bx + c= 0
Infinite.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2 & 3/7
1 - P(E)

7. Formula for the area of a sector of a circle?
A multiple of every integer
4a^2(b)
Sector area = (n/360) X (pi)r^2
62.5%

8. Ø²
55%
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.)
Ø

9. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
A²+b²=c²
x²+2xy+y²
28
8

10. What is the order of operations?
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
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
All numbers multiples of 1.
An expression with just one term (-6x - 2a^2)

11. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4.25 - 6 - 22
An arc is a portion of a circumference of a circle.
F(x + c)
130pi

12. (2²)³
Right
26
A<-b
The interesection of A and B.

13. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The empty set - denoted by a circle with a diagonal through it.
A central angle is an angle formed by 2 radii.

14. Formula to find a circle'S circumference from its radius?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Ab+ac
48
C = 2(pi)r

15. To multiply a number by 10^x
Even
23 - 29
D=rt so r= d/t and t=d/r
Move the decimal point to the right x places

16. a<b then a - b is positive or negative?
9 & 6/7
1/2 times 7/3
1
A-b is negative

17. 10^6 has how many zeroes?
Even
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...
The objects within a set.
6

18. A number is divisible by 4 is...
Its last two digits are divisible by 4.
1.0843 X 10^11
A 30-60-90 triangle.
72

19. Rate
y = 2x^2 - 3
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
D/t (distance)/(time)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

20. If a lamp increases from $80 to $100 - what is the percent increase?
2.592 kg
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Do not have slopes!
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

21. Area of a triangle
A=pi*(r^2)
Its last two digits are divisible by 4.
A = pi(r^2)
A= (1/2) b*h

22. What is the measure of an exterior angle of a regular pentagon?
Its last two digits are divisible by 4.
27^(-4)
72
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

23. The reciprocal of any non-zero number is
.0004809 X 10^11
1:sqrt3:2
1/x
2^9 / 2 = 256

24. (x-y)(x+y)
x²-y²
Positive
y = 2x^2 - 3
3/2 - 5/3

25. What does scientific notation mean?
4.25 - 6 - 22
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
75:11
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

26. Define a 'monomial'
1
An expression with just one term (-6x - 2a^2)
The union of A and B.
A set with no members - denoted by a circle with a diagonal through it.

27. 1/8 in percent?
48
12.5%
A reflection about the axis.
2

28. The product of odd number of negative numbers
zero
Negative
A=(base)(height)
F(x) - c

29. 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
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.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
(amount of decrease/original price) x 100%
18

30. Time
1/x
(distance)/(rate) d/r
2^9 / 2 = 256
An is positive

31. 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
A percent is a fraction whose denominator is 100.
Every number
1 - P(E)

32. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
90°
A-b is negative
$11 -448

33. The important properties of a 45-45-90 triangle?
(a - b)(a + b)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
(n-2) x 180

34. 0^0
3 - 4 - 5
9 & 6/7
Undefined
61 - 67

35. What is the ratio of the sides of a 30-60-90 triangle?
The set of output values for a function.
3
Edge³
1:sqrt3:2

36. Can you add sqrt 3 and sqrt 5?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The set of elements which can be found in either A or B.
27
No - only like radicals can be added.

37. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
18
The longest arc between points A and B on a circle'S diameter.
C = 2(pi)r

38. Convert 0.7% to a fraction.
7 / 1000
No - only like radicals can be added.
Its divisible by 2 and by 3.
A chord is a line segment joining two points on a circle.

39. The objects in a set are called two names:
Members or elements
x - x+1 - x+2
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)
18

40. Circumference of a circle
67 - 71 - 73
2(pi)r
Smallest positive integer
Triangles with same measure and same side lengths.

41. How to recognize if a # is a multiple of 12
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.)
1:1:sqrt2
The set of input values for a function.
C=2 x pi x r OR pi x D

42. 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?
Can be negative - zero - or positive
N! / (k!)(n-k)!
2.592 kg
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

43. How to recognize a # as a multiple of 3
4.25 - 6 - 22
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)
y2-y1/x2-x1
180 degrees

44. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
Ab+ac
Subtract them. i.e (5^7)/(5^3)= 5^4
y = (x + 5)/2
x^(4+7) = x^11

45. What is a central angle?
A central angle is an angle formed by 2 radii.
Two (Ø×2=Ø)
A= (1/2) b*h
(pi)r²

46. What is the intersection of A and B?
V=l×w×h
The set of elements found in both A and B.
1.0843 X 10^11
(n-2) x 180

47. a^0 =
C = 2(pi)r
1
x(x - y + 1)
Ø

48. Probability of Event all cases
360°
C = 2(pi)r
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Ø=P(E)=1

49. If an inequality is multiplied or divided by a negative number....
6
$3 -500 in the 9% and $2 -500 in the 7%.
1/x
The direction of the inequality is reversed.

50. How to determine percent decrease?
F(x) - c
Triangles with same measure and same side lengths.
(amount of decrease/original price) x 100%
13