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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. Evaluate (4^3)^2
4096
12! / 5!7! = 792
(length)(width)(height)
Positive

2. Define a 'Term' -
A multiple of every integer
Yes - like radicals can be added/subtracted.
180
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)

3. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Null
1
9

4. What are the members or elements of a set?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
3
The objects within a set.
B?b?b (where b is used as a factor n times)

5. The product of odd number of negative numbers
Negative
P(E) = ø
0
12sqrt2

6. The negative exponent x?n is equivalent to what?
1 & 37/132
The set of elements found in both A and B.
Ø=P(E)=1
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

7. -3³
The direction of the inequality is reversed.
27
A-b is negative
1

8. 6w^2 - w - 15 = 0
75:11
Reciprocal
9
3/2 - 5/3

9. Evaluate 3& 2/7 / 1/3
5 - 12 - 13
(n-2) x 180
9 & 6/7
x^(4+7) = x^11

10. 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?
Ø=P(E)=1
2.592 kg
Parallelogram
41 - 43 - 47

11. What percent of 40 is 22?
Triangles with same measure and same side lengths.
55%
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
27

12. What are 'Supplementary angles?'
The steeper the slope.
Two angles whose sum is 180.
No - only like radicals can be added.
The objects within a set.

13. 30 60 90
M
23 - 29
5 - 12 - 13
(distance)/(rate) d/r

14. 1/2 divided by 3/7 is the same as
180 degrees
An infinite set.
1/2 times 7/3
1

15. 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.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
180°
Positive

16. What is the name for a grouping of the members within a set based on a shared characteristic?
Sector area = (n/360) X (pi)r^2
A subset.
3x - 4x - 5x
Null

17. a^2 - b^2
An arc is a portion of a circumference of a circle.
1
3
(a - b)(a + b)

18. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
y = (x + 5)/2
Negative
360°

19. What is the graph of f(x) shifted downward c units or spaces?
A set with no members - denoted by a circle with a diagonal through it.
F(x) - c
130pi
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

20. Write 10 -843 X 10^7 in scientific notation
10! / (10-3)! = 720
Two (Ø×2=Ø)
1.0843 X 10^11
x²-2xy+y²

21. Circumference of a circle?
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)
90pi
Null
Diameter(Pi)

22. If an inequality is multiplied or divided by a negative number....
an angle that is less than 90°
The direction of the inequality is reversed.
1.7
F(x) + c

23. First 10 prime #s
72
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
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)
A set with no members - denoted by a circle with a diagonal through it.

24. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2.592 kg
48
4096

25. Area of a triangle?
x²-y²
A multiple of every integer
(base*height) / 2
Sector area = (n/360) X (pi)r^2

26. Slope
P(E) = number of favorable outcomes/total number of possible outcomes
y2-y1/x2-x1
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
3 - 4 - 5

27. a>b then a - b is positive or negative?
Ø
20.5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A-b is positive

28. a^2 - 2ab + b^2
(a - b)^2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
90°
90

29. Time
(distance)/(rate) d/r
C = (pi)d
Move the decimal point to the right x places
1/x

30. What is the measure of an exterior angle of a regular pentagon?
72
1.0843 X 10^11
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Lies opposite the greater angle

31. Ø is
A central angle is an angle formed by 2 radii.
Even
7 / 1000
3

32. The percent decrease of a quantity
True
360°
Cd
= (actual decrease/Original amount) x 100%

33. Formula to find a circle'S circumference from its diameter?
10! / (10-3)! = 720
2^9 / 2 = 256
C = (pi)d
Subtract them. i.e (5^7)/(5^3)= 5^4

34. What is an exterior angle?
Ø Ø=Ø
11 - 13 - 17 - 19
An angle which is supplementary to an interior angle.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

35. Important properties of a 30-60-90 triangle?
Null
9 & 6/7
(a - b)(a + b)
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

36. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
... the square of the ratios of the corresponding sides.
1/x
an angle that is less than 90°
70

37. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
180°
A grouping of the members within a set based on a shared characteristic.
18

38. Legs 5 - 12. Hypotenuse?
Yes - like radicals can be added/subtracted.
180°
28. n = 8 - k = 2. n! / k!(n-k)!
13

39. If Event is impossible
EVEN
P(E) = ø
48
20.5

40. 1 is a divisor of
A multiple of every integer
A = pi(r^2)
180°
Every number

41. What is the ratio of the sides of an isosceles right triangle?
Ø
1:1:sqrt2
(a + b)^2
4725

42. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
72
Factors are few - multiples are many.
2
P(E) = number of favorable outcomes/total number of possible outcomes

43. What is the surface area of a cylinder with radius 5 and height 8?
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
130pi
6 : 1 : 2
41 - 43 - 47

44. (6sqrt3) x (2sqrt5) =
(length)(width)(height)
A set with a number of elements which can be counted.
360°
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

45. Ø Is
1/2 times 7/3
The interesection of A and B.
EVEN
2sqrt6

46. the slope of a line in y=mx+b
V=side³
7 / 1000
M
P=2(l+w)

47. Simplify (a^2 + b)^2 - (a^2 - b)^2
180 degrees
Ab+ac
4a^2(b)
A reflection about the axis.

48. Product of any number and Ø is
9
The longest arc between points A and B on a circle'S diameter.
Ø
(x+y)(x+y)

49. Formula to calculate arc length?
an angle that is less than 90°
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1
3 - -3

50. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
x^(2(4)) =x^8 = (x^4)^2
1/x
3
Distance=rate×time or d=rt