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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 surface area of a cylinder with radius 5 and height 8?
130pi
5
P(E) = ø
B?b?b (where b is used as a factor n times)

2. Is 0 even or odd?
A tangent is a line that only touches one point on the circumference of a circle.
Even
1
A grouping of the members within a set based on a shared characteristic.

3. What is an isoceles triangle?
180
Factors are few - multiples are many.
(x+y)(x-y)
Two equal sides and two equal angles.

4. What is a minor arc?

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5. How to recognize a # as a multiple of 3
The steeper the slope.
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)
1/a^6
y = 2x^2 - 3

6. What is the 'domain' of a function?
The set of input values for a function.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A+c<b+c
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

7. The sum of all angles around a point
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
23 - 29
x²-y²
360°

8. a(b-c)
Ab-ac
Null
20.5
Two equal sides and two equal angles.

9. P and r are factors of 100. What is greater - pr or 100?
(distance)/(rate) d/r
1/2 times 7/3
A tangent is a line that only touches one point on the circumference of a circle.
Indeterminable.

10. 5/6 in percent?
83.333%
Negative
An is positive
1.7

11. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Ø
y2-y1/x2-x1
12! / 5!7! = 792

12. What is the 'Solution' for a system of linear equations?
A tangent is a line that only touches one point on the circumference of a circle.
The point of intersection of the systems.
(a + b)^2
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.

13. 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?
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.)
441000 = 1 10 10 10 21 * 21
4096
x²-2xy+y²

14. Volume of a cube
A set with a number of elements which can be counted.
360°
Edge³
13pi / 2

15. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
Undefined - because we can'T divide by 0.
1.7
10! / 3!(10-3)! = 120

16. Probability of E not occurring:
1 - P(E)
(b + c)
The shortest arc between points A and B on a circle'S diameter.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

17. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
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.
13
75:11
Sum of digits is a multiple of 3 and the last digit is even.

18. How many sides does a hexagon have?
6
Ø=P(E)=1
A reflection about the axis.
72

19. Ø Is
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.)
A tangent is a line that only touches one point on the circumference of a circle.
EVEN
A grouping of the members within a set based on a shared characteristic.

20. Convert 0.7% to a fraction.
7 / 1000
(a + b)^2
Even prime number
D/t (distance)/(time)

21. If a is negative and n is even then an is (positive or negative?)
An is positive
A<-b
26
Pi(diameter)

22. To increase a number by x%
Triangles with same measure and same side lengths.
1/2 times 7/3
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

23. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
x²-y²
A 30-60-90 triangle.
10! / (10-3)! = 720
Relationship cannot be determined (what if x is negative?)

24. What is the graph of f(x) shifted downward c units or spaces?
The objects within a set.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
F(x) - c
x - x(SR3) - 2x

25. If Event is impossible
(length)(width)(height)
An is positive
180 degrees
P(E) = ø

26. A number is divisible by 6 if...
Its divisible by 2 and by 3.
An arc is a portion of a circumference of a circle.
0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

27. (12sqrt15) / (2sqrt5) =
D=rt so r= d/t and t=d/r
Cd
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.)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

28. 1/2 divided by 3/7 is the same as
2
1/2 times 7/3
Subtract them. i.e (5^7)/(5^3)= 5^4
1

29. A number is divisible by 4 is...
Its last two digits are divisible by 4.
Yes - like radicals can be added/subtracted.
Pi is the ratio of a circle'S circumference to its diameter.
Sum of digits is a multiple of 3 and the last digit is even.

30. Product of any number and Ø is
1/2 times 7/3
angle that is greater than 90° but less than 180°
Ø
Distance=rate×time or d=rt

31. 30 60 90
A percent is a fraction whose denominator is 100.
The second graph is less steep.
3x - 4x - 5x
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

32. 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)?
The sum of digits is divisible by 9.
The union of A and B.
y = (x + 5)/2
180°

33. How to recognize if a # is a multiple of 12
A= (1/2) b*h
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.)
Every number
The interesection of A and B.

34. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
67 - 71 - 73
A reflection about the origin.
The overlapping sections.
x - x+1 - x+2

35. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
B?b?b (where b is used as a factor n times)
x²-2xy+y²
90

36. Legs 5 - 12. Hypotenuse?
13
Cd
23 - 29
10! / (10-3)! = 720

37. 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?
Infinite.
A chord is a line segment joining two points on a circle.
70
2.592 kg

38. Simplify the expression (p^2 - q^2)/ -5(q - p)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A reflection about the axis.
(p + q)/5
N! / (k!)(n-k)!

39. What are the rational numbers?
87.5%
1:1:sqrt2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

40. When multiplying exponential #s with the same base - you do this to the exponents...
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
3
Add them. i.e. (5^7) * (5^3) = 5^10

41. Consecutive integers
Even prime number
A tangent is a line that only touches one point on the circumference of a circle.
The shortest arc between points A and B on a circle'S diameter.
x - x+1 - x+2

42. Slope
y2-y1/x2-x1
3
(amount of decrease/original price) x 100%
10

43. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
13pi / 2
A set with no members - denoted by a circle with a diagonal through it.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

44. Ø is a multiple of
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Every number
7 / 1000

45. In a rectangle - all angles are
N! / (k!)(n-k)!
Right
16.6666%
4725

46. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
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)
37.5%
Infinite.
28. n = 8 - k = 2. n! / k!(n-k)!

47. A number is divisible by 9 if...
1/x
441000 = 1 10 10 10 21 * 21
The sum of digits is divisible by 9.
1

48. How many multiples does a given number have?
2^9 / 2 = 256
The greatest value minus the smallest.
Infinite.
(rate)(time) d=rt

49. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
3
A 30-60-90 triangle.
Can be negative - zero - or positive
A reflection about the origin.

50. What are 'Supplementary angles?'
x²-2xy+y²
An expression with just one term (-6x - 2a^2)
Two angles whose sum is 180.
Diameter(Pi)