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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. X is the opposite of
The set of elements which can be found in either A or B.
1
87.5%
X

2. How to recognize a # as a multiple of 4
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.)
(b + c)
an angle that is less than 90°
B?b?b (where b is used as a factor n times)

3. Write 10 -843 X 10^7 in scientific notation
x - x+1 - x+2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
1.0843 X 10^11
x²-2xy+y²

4. 40 < all primes<50
41 - 43 - 47
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
4096
12! / 5!7! = 792

5. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A=pi*(r^2)
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
A reflection about the axis.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

6. the slope of a line in y=mx+b
Two (Ø×2=Ø)
62.5%
Null
M

7. Legs 5 - 12. Hypotenuse?
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)
13
The overlapping sections.
3x - 4x - 5x

8. To decrease a number by x%
Sum of digits is a multiple of 3 and the last digit is even.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
12sqrt2
90

9. 6w^2 - w - 15 = 0
3/2 - 5/3
(b + c)
2
A subset.

10. The objects in a set are called two names:
Members or elements
7 / 1000
A multiple of every integer
(a + b)^2

11. (x+y)²
x²+2xy+y²
13
The two xes after factoring.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

12. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
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.
3
The two xes after factoring.
Cd

13. Ø²
Ø
62.5%
18
An isosceles right triangle.

14. 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?
9
48
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
Every number

15. What is the set of elements found in both A and B?
67 - 71 - 73
The interesection of A and B.
Reciprocal
an angle that is less than 90°

16. What are 'Supplementary angles?'
y/x is a constant
Two angles whose sum is 180.
Its last two digits are divisible by 4.
6 : 1 : 2

17. What is an exterior angle?
Undefined - because we can'T divide by 0.
67 - 71 - 73
An angle which is supplementary to an interior angle.
An is positive

18. 1n
1
180°
53 - 59
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.)

19. Area of a Parallelogram:
A=(base)(height)
Triangles with same measure and same side lengths.
C = (pi)d
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

20. What is the name of set with a number of elements which cannot be counted?
3 - 4 - 5
The set of output values for a function.
An infinite set.
31 - 37

21. For any number x
Positive
D/t (distance)/(time)
Can be negative - zero - or positive
$11 -448

22. What is the ratio of the sides of a 30-60-90 triangle?
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
y2-y1/x2-x1
Diameter(Pi)
1:sqrt3:2

23. If E is certain
A tangent is a line that only touches one point on the circumference of a circle.
Triangles with same measure and same side lengths.
P(E) = 1/1 = 1
180 degrees

24. Perimeter of a rectangle
Positive
P= 2L + 2w
Triangles with same measure and same side lengths.
360°

25. The sum of the measures of the n angles in a polygon with n sides
1
The set of output values for a function.
(n-2) x 180
Relationship cannot be determined (what if x is negative?)

26. The reciprocal of any non-zero number is
1
1/x
Straight Angle
The two xes after factoring.

27. b¹
1
Right
Two angles whose sum is 180.
83.333%

28. -3²
55%
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.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
9

29. What is the slope of a horizontal line?
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.
441000 = 1 10 10 10 21 * 21
0
x²-2xy+y²

30. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
x^(6-3) = x^3
Ab=k (k is a constant)
A²+b²=c²

31. Find the surface area of a cylinder with radius 3 and height 12.
X
90pi
Parallelogram
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)

32. factored binomial product of (x+y)²
A = pi(r^2)
x²+2xy+y²
Pi(diameter)
(length)(width)(height)

33. Rate
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Parallelogram
D/t (distance)/(time)
No - only like radicals can be added.

34. Factor a^2 + 2ab + b^2
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)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1
(a + b)^2

35. formula for area of a triangle
A=½bh
1.0843 X 10^11
x - x+1 - x+2
72

36. 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?
Two (Ø×2=Ø)
75:11
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)
Positive

37. If a is negative and n is even then an is (positive or negative?)
1
2^9 / 2 = 256
An is positive
7 / 1000

38. -3³
(a - b)(a + b)
27
A=pi*(r^2)
(p + q)/5

39. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
$3 -500 in the 9% and $2 -500 in the 7%.
61 - 67
(length)(width)(height)

40. One is (a prime or not?)
V=l×w×h
NOT A PRIME
Even prime number
(n-2) x 180

41. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
5
x²-y²

42. First 10 prime #s
Lies opposite the greater angle
Ø
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(pi)r²

43. Ø Is neither
The union of A and B.
67 - 71 - 73
The greatest value minus the smallest.
Positive or Negative

44. How to recognize if a # is a multiple of 12
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.)
y = (x + 5)/2
x²+2xy+y²
The sum of its digits is divisible by 3.

45. Slope
y2-y1/x2-x1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
90pi
Triangles with same measure and same side lengths.

46. bn
x²+2xy+y²
B?b?b (where b is used as a factor n times)
83.333%
Ab=k (k is a constant)

47. The Denominator can never
Two equal sides and two equal angles.
500
y = 2x^2 - 3
Be Zero!

48. 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?
Positive or Negative
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
Null
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

49. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
8
A-b is negative

50. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
Even
5 OR -5
A reflection about the axis.