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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 cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
(a - b)(a + b)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
B?b?b (where b is used as a factor n times)
1

2. In any polygon - all external angles equal up to
V=side³
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
360°
Negative

3. What are the irrational numbers?

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4. What are the real numbers?
1.7
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)
1/2 times 7/3
2 & 3/7

5. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
The set of elements found in both A and B.
70
Ø
Its divisible by 2 and by 3.

6. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
M= (Y1-Y2)/(X1-X2)
90
x²-2xy+y²
4:5

7. 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?
Do not have slopes!
An is positive
10! / (10-3)! = 720
x²-2xy+y²

8. 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.
A tangent is a line that only touches one point on the circumference of a circle.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
180°

9. If an inequality is multiplied or divided by a negative number....
The union of A and B.
x²+2xy+y²
A = pi(r^2)
The direction of the inequality is reversed.

10. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
A = pi(r^2)
48
x^(6-3) = x^3
(rate)(time) d=rt

11. Important properties of a 30-60-90 triangle?
10
360/n
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
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

12. 1 is a divisor of
Every number
F(x-c)
Even
Be Zero!

13. What are 'Supplementary angles?'
x²-y²
Two angles whose sum is 180.
27^(-4)
41 - 43 - 47

14. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
1/a^6
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
Its divisible by 2 and by 3.
(a - b)(a + b)

15. 60 < all primes <70
9 : 25
A reflection about the origin.
61 - 67
N! / (n-k)!

16. Slope of any line that goes down as you move from left to right is
Null
Negative
61 - 67
The point of intersection of the systems.

17. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
41 - 43 - 47
180
An isosceles right triangle.

18. The perimeter of a square is 48 inches. The length of its diagonal is:
18
1
180°
12sqrt2

19. x^6 / x^3
4a^2(b)
x^(6-3) = x^3
A = length x width
3

20. Area of a triangle?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A<-b
9 & 6/7
(base*height) / 2

21. Acute Angle
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
an angle that is less than 90°
Two angles whose sum is 90.
y/x is a constant

22. Ø Is
Negative
A=(base)(height)
3
EVEN

23. What is a chord of a circle?
NOT A PRIME
A chord is a line segment joining two points on a circle.
1
Right

24. a<b then a - b is positive or negative?
Pi(diameter)
A-b is negative
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
6

25. binomial product of (x+y)(x-y)
x²-y²
An expression with just one term (-6x - 2a^2)
x - x+1 - x+2
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.

26. 1/Ø=null If a>b then
A<-b
N! / (k!)(n-k)!
An infinite set.
61 - 67

27. 30< all primes<40
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
27^(-4)
31 - 37
y = 2x^2 - 3

28. What is the 'Range' of a series of numbers?
360°
The greatest value minus the smallest.
Ø Ø=Ø
27

29. How to recognize a multiple of 6
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)
A grouping of the members within a set based on a shared characteristic.
Sum of digits is a multiple of 3 and the last digit is even.
2²

30. 1/2 divided by 3/7 is the same as
P(E) = ø
1/2 times 7/3
V=side³
360°

31. A quadrilateral where two diagonals bisect each other
A = length x width
Parallelogram
V=l×w×h
Ø=P(E)=1

32. Volume of a rectangular solid
5
(length)(width)(height)
1:sqrt3:2
zero

33. What is the intersection of A and B?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
An infinite set.
The sum of the digits is a multiple of 9.
The set of elements found in both A and B.

34. What is an exterior angle?
An angle which is supplementary to an interior angle.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The set of input values for a function.
C=2 x pi x r OR pi x D

35. Reduce: 4.8 : 0.8 : 1.6
A= (1/2) b*h
An angle which is supplementary to an interior angle.
6 : 1 : 2
Distance=rate×time or d=rt

36. What are the members or elements of a set?
C = (pi)d
The objects within a set.
Ab=k (k is a constant)
Sum of digits is a multiple of 3 and the last digit is even.

37. What are the roots of the quadrinomial x^2 + 2x + 1?
26
(n-2) x 180
6
The two xes after factoring.

38. Evaluate (4^3)^2
4096
72
NOT A PRIME
An infinite set.

39. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
A= (1/2) b*h
A percent is a fraction whose denominator is 100.
(a - b)(a + 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.

40. What percent of 40 is 22?
(a - b)(a + b)
55%
A-b is negative
NOT A PRIME

41. How many multiples does a given number have?
Infinite.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A=(base)(height)
4096

42. Ø is
A multiple of every integer
A 30-60-90 triangle.
x^(2(4)) =x^8 = (x^4)^2
The steeper the slope.

43. Can you subtract 3sqrt4 from sqrt4?
P=2(l+w)
Ø=P(E)=1
10! / 3!(10-3)! = 120
Yes - like radicals can be added/subtracted.

44. A number is divisible by 9 if...
3x - 4x - 5x
The sum of digits is divisible by 9.
A = length x width
A=(base)(height)

45. Area of a Parallelogram:
C = 2(pi)r
10! / 3!(10-3)! = 120
The empty set - denoted by a circle with a diagonal through it.
A=(base)(height)

46. x^2 = 9. What is the value of x?
3 - -3
4725
Two (Ø×2=Ø)
x^(4+7) = x^11

47. 25^(1/2) or sqrt. 25 =
= (actual decrease/Original amount) x 100%
4:5
5 OR -5
The set of output values for a function.

48. 10<all primes<20
Right
11 - 13 - 17 - 19
An arc is a portion of a circumference of a circle.
Every number

49. Write 10 -843 X 10^7 in scientific notation
10! / (10-3)! = 720
B?b?b (where b is used as a factor n times)
1.0843 X 10^11
6

50. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
28. n = 8 - k = 2. n! / k!(n-k)!
75:11
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Parallelogram