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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 'Solution' for a set of inequalities.
The overlapping sections.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Members or elements
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. (2²)³
Cd
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)
26
The interesection of A and B.

3. 30 60 90
V=l×w×h
6
A chord is a line segment joining two points on a circle.
3x - 4x - 5x

4. Evaluate 3& 2/7 / 1/3
The two xes after factoring.
9 & 6/7
Cd
27

5. Perimeter of a rectangle
The steeper the slope.
P= 2L + 2w
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.
A = length x width

6. 0^0
angle that is greater than 90° but less than 180°
90°
Undefined
A central angle is an angle formed by 2 radii.

7. When does a function automatically have a restricted domain (2)?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A+c<b+c
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
An arc is a portion of a circumference of a circle.

8. What are complementary angles?
Two angles whose sum is 90.
x^(4+7) = x^11
27
6 : 1 : 2

9. 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?
1
Every number
2(pi)r
N! / (k!)(n-k)!

10. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
90pi
(rate)(time) d=rt
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

11. 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
2sqrt6
A-b is negative
18
12! / 5!7! = 792

12. What are congruent triangles?
Its last two digits are divisible by 4.
5
Triangles with same measure and same side lengths.
D=rt so r= d/t and t=d/r

13. Simplify the expression [(b^2 - c^2) / (b - c)]
(a + b)^2
(b + c)
1
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

14. (x-y)²
Two equal sides and two equal angles.
A natural number greater than 1 that has no positive divisors other than 1 and itself
x²-2xy+y²
180°

15. How to recognize a # as a multiple of 4
3x - 4x - 5x
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.)
3
P=4s (s=side)

16. binomial product of (x+y)²
Two angles whose sum is 180.
2 & 3/7
A natural number greater than 1 that has no positive divisors other than 1 and itself
(x+y)(x+y)

17. What is the intersection of A and B?
A reflection about the axis.
Can be negative - zero - or positive
The set of elements found in both A and B.
16.6666%

18. Formula to find a circle'S circumference from its diameter?
(distance)/(rate) d/r
C = (pi)d
A 30-60-90 triangle.
18

19. The product of any number x and its reciprocal
The longest arc between points A and B on a circle'S diameter.
1.7
1
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.)

20. Formula for the area of a circle?
4:5
A = pi(r^2)
27^(-4)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

21. Consecutive integers
x - x+1 - x+2
360°
1
The empty set - denoted by a circle with a diagonal through it.

22. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
20.5
6
12! / 5!7! = 792
A-b is negative

23. A number is divisible by 9 if...
(length)(width)(height)
The sum of digits is divisible by 9.
Every number
x^(2(4)) =x^8 = (x^4)^2

24. The reciprocal of any non-zero number is
V=l×w×h
1/x
Subtract them. i.e (5^7)/(5^3)= 5^4
Indeterminable.

25. If a lamp increases from $80 to $100 - what is the percent increase?
The set of elements found in both A and B.
Sector area = (n/360) X (pi)r^2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

26. The reciprocal of any non-zero #x is
(length)(width)(height)
P=2(l+w)
1/2 times 7/3
1/x

27. What is the area of a regular hexagon with side 6?
1/x
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
N! / (k!)(n-k)!
No - only like radicals can be added.

28. How to determine percent decrease?
The set of elements which can be found in either A or B.
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.
(amount of decrease/original price) x 100%
Move the decimal point to the right x places

29. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Two (Ø×2=Ø)
1
Ab-ac
(a - b)(a + b)

30. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
5 - 12 - 13
The longest arc between points A and B on a circle'S diameter.
441000 = 1 10 10 10 21 * 21
A multiple of every integer

31. Dividing by a number is the same as multiplying it by its
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
Reciprocal
1/x
62.5%

32. Describe the relationship between the graphs of x^2 and (1/2)x^2
3
The second graph is less steep.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
3/2 - 5/3

33. Factor a^2 + 2ab + b^2
Subtract them. i.e (5^7)/(5^3)= 5^4
180 degrees
(a + b)^2
(b + c)

34. The Perimeter of a Square
P=4s (s=side)
72
Ab-ac
Null

35. x^2 = 9. What is the value of x?
180°
37.5%
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)
3 - -3

36. What are the real numbers?
An arc is a portion of a circumference of a circle.
zero
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)
13pi / 2

37. Define a 'monomial'
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
An expression with just one term (-6x - 2a^2)
y = 2x^2 - 3
1 - P(E)

38. The product of odd number of negative numbers
Negative
F(x) + c
1.0843 X 10^11
The union of A and B.

39. Convert 0.7% to a fraction.
3 - -3
The set of elements which can be found in either A or B.
7 / 1000
F(x + c)

40. Can you subtract 3sqrt4 from sqrt4?
.0004809 X 10^11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
48
Yes - like radicals can be added/subtracted.

41. Find distance when given time and rate
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 is positive
Null
D=rt so r= d/t and t=d/r

42. Describe the relationship between 3x^2 and 3(x - 1)^2
3
3/2 - 5/3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The greatest value minus the smallest.

43. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
An isosceles right triangle.
26
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

44. 1/2 divided by 3/7 is the same as
1/2 times 7/3
A = pi(r^2)
Ø=P(E)=1
x²-2xy+y²

45. Formula to find a circle'S circumference from its radius?
x^(2(4)) =x^8 = (x^4)^2
C = 2(pi)r
Ab-ac
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

46. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
A²+b²=c²
x(x - y + 1)
A=pi*(r^2)
N! / (n-k)!

47. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
zero
2sqrt6
3x - 4x - 5x
Ø

48. What is an isoceles triangle?
Pi(diameter)
Two equal sides and two equal angles.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(b + c)

49. Legs: 3 - 4. Hypotenuse?
1:1:sqrt2
(2x7)³
5
N! / (n-k)!

50. What is the 'domain' of a function?
Sector area = (n/360) X (pi)r^2
Can be negative - zero - or positive
9
The set of input values for a function.