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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. The important properties of a 45-45-90 triangle?
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.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
... the square of the ratios of the corresponding sides.
4.25 - 6 - 22

2. 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?
Lies opposite the greater angle
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)
441000 = 1 10 10 10 21 * 21
3x - 4x - 5x

3. Simplify the expression (p^2 - q^2)/ -5(q - p)
7 / 1000
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
(p + q)/5
M

4. What are the irrational numbers?

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5. What is the slope of a horizontal line?
0
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
M= (Y1-Y2)/(X1-X2)

6. Describe the relationship between the graphs of x^2 and (1/2)x^2
F(x + c)
The second graph is less steep.
A chord is a line segment joining two points on a circle.
75:11

7. What is a percent?
Even
2²
A 30-60-90 triangle.
A percent is a fraction whose denominator is 100.

8. formula for the volume of a cube
V=side³
2.592 kg
X
(a - b)^2

9. 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?
31 - 37
C=2 x pi x r OR pi x D
6 : 1 : 2
10! / (10-3)! = 720

10. Area of a triangle?
A grouping of the members within a set based on a shared characteristic.
M
(base*height) / 2
6 : 1 : 2

11. formula for volume of a rectangular solid
True
Lies opposite the greater angle
V=l×w×h
Yes - like radicals can be added/subtracted.

12. What is a tangent?
10
Pi(diameter)
A tangent is a line that only touches one point on the circumference of a circle.
x²-2xy+y²

13. What is the 'Range' of a function?
The set of output values for a function.
y = (x + 5)/2
1 & 37/132
(distance)/(rate) d/r

14. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
10! / 3!(10-3)! = 120
90pi
D=rt so r= d/t and t=d/r

15. 25/2³
A subset.
Right
2²
28. n = 8 - k = 2. n! / k!(n-k)!

16. Consecutive integers
1
x - x+1 - x+2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
6

17. formula for area of a triangle
1
10! / 3!(10-3)! = 120
A=½bh
62.5%

18. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
Ab-ac
x²-y²
A chord is a line segment joining two points on a circle.

19. If a<b - then
26
Undefined - because we can'T divide by 0.
An expression with just one term (-6x - 2a^2)
A+c<b+c

20. factored binomial product of (x-y)²
A tangent is a line that only touches one point on the circumference of a circle.
A-b is positive
x²-2xy+y²
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

21. When dividing exponential #s with the same base - you do this to the exponents...
Can be negative - zero - or positive
55%
Subtract them. i.e (5^7)/(5^3)= 5^4
1:sqrt3:2

22. What is the measure of an exterior angle of a regular pentagon?
72
87.5%
N! / (k!)(n-k)!
Do not have slopes!

23. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
V=side³
1.7
True

24. Number of degrees in a triangle
A set with a number of elements which can be counted.
Even prime number
180
0

25. factored binomial product of (x+y)²
x²+2xy+y²
P= 2L + 2w
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
X

26. The negative exponent x?n is equivalent to what?
1.0843 X 10^11
62.5%
12! / 5!7! = 792
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

27. X is the opposite of
1
37.5%
an angle that is less than 90°
X

28. What is a chord of a circle?
Ø
A chord is a line segment joining two points on a circle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
48

29. What is a set with no members called?
Two (Ø×2=Ø)
Ø=P(E)=1
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The empty set - denoted by a circle with a diagonal through it.

30. Evaluate (4^3)^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
72
3x - 4x - 5x
4096

31. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
7 / 1000
2 & 3/7
4:5
An arc is a portion of a circumference of a circle.

32. binomial product of (x+y)²
The sum of its digits is divisible by 3.
(x+y)(x+y)
6
Sector area = (n/360) X (pi)r^2

33. Factor a^2 + 2ab + b^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(a + b)^2
4725
4:5

34. binomial product of (x+y)(x-y)
0
A set with a number of elements which can be counted.
x²-y²
5 - 12 - 13

35. Time
(length)(width)(height)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Reciprocal
(distance)/(rate) d/r

36. Volume of a rectangular solid
(length)(width)(height)
x²-2xy+y²
70
M= (Y1-Y2)/(X1-X2)

37. How to determine percent decrease?
Ø
Two angles whose sum is 90.
x^(2(4)) =x^8 = (x^4)^2
(amount of decrease/original price) x 100%

38. Pythagorean theorem
A²+b²=c²
3
Every number
x - x+1 - x+2

39. a^2 - b^2
Ø Ø=Ø
(a - b)(a + b)
D/t (distance)/(time)
10! / 3!(10-3)! = 120

40. An Angle that'S 180°
(pi)r²
x^(2(4)) =x^8 = (x^4)^2
Infinite.
Straight Angle

41. Convert 0.7% to a fraction.
M
11 - 13 - 17 - 19
7 / 1000
The sum of its digits is divisible by 3.

42. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
an angle that is less than 90°
1
9

43. A number is divisible by 9 if...
Its divisible by 2 and by 3.
The sum of digits is divisible by 9.
an angle that is less than 90°
Ø

44. (x-y)²
A central angle is an angle formed by 2 radii.
The sum of the digits is a multiple of 9.
Undefined
x²-2xy+y²

45. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
6
A-b is positive
1
13

46. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
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)
4:5
(length)(width)(height)
70

47. What is the graph of f(x) shifted upward c units or spaces?
1.0843 X 10^11
441000 = 1 10 10 10 21 * 21
Diameter(Pi)
F(x) + c

48. 25+2³
1
28
16.6666%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

49. 0^0
Undefined
12! / 5!7! = 792
(a - b)(a + b)
M

50. a>b then a - b is positive or negative?
90°
A-b is positive
55%
A tangent is a line that only touches one point on the circumference of a circle.