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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. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
The sum of the digits is a multiple of 9.
4:5
20.5
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)

2. factored binomial product of (x-y)²
The set of input values for a function.
70
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
x²-2xy+y²

3. a^2 + 2ab + b^2
(a - b)^2
(a + b)^2
The two xes after factoring.
A tangent is a line that only touches one point on the circumference of a circle.

4. factored binomial product of (x+y)²
x²+2xy+y²
2sqrt6
Straight Angle
Right

5. A number is divisible by 4 is...
Its last two digits are divisible by 4.
angle that is greater than 90° but less than 180°
Cd
10

6. The objects in a set are called two names:
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
2.592 kg
Members or elements
C=2 x pi x r OR pi x D

7. To multiply a number by 10^x
A-b is negative
Move the decimal point to the right x places
The empty set - denoted by a circle with a diagonal through it.
90pi

8. What is a subset?
A grouping of the members within a set based on a shared characteristic.
(a - b)(a + b)
Its divisible by 2 and by 3.
1/x

9. What is the measure of an exterior angle of a regular pentagon?
4:5
NOT A PRIME
72
Ø

10. What is the set of elements which can be found in either A or B?
The union of A and B.
x²+2xy+y²
The set of elements which can be found in either A or B.
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.

11. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
1/x
1
A 30-60-90 triangle.
A reflection about the axis.

12. Ø is
A multiple of every integer
288 (8 9 4)
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
360/n

13. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
Its divisible by 2 and by 3.
A-b is negative
0

14. 2 is the only
An isosceles right triangle.
Even prime number
2(pi)r
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

15. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
Ø=P(E)=1
(base*height) / 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.
6 : 1 : 2

16. x^6 / x^3
3
1
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
x^(6-3) = x^3

17. If a is positive - an is
55%
1/2 times 7/3
Positive
4725

18. a<b then a - b is positive or negative?
Distance=rate×time or d=rt
75:11
62.5%
A-b is negative

19. A quadrilateral where two diagonals bisect each other
Parallelogram
1/x
(pi)r²
P(E) = ø

20. How to recognize a # as a multiple of 4
1/a^6
(b + c)
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.)
1

21. 4.809 X 10^7 =
.0004809 X 10^11
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Ab-ac
Every number

22. How many 3-digit positive integers are even and do not contain the digit 4?
Two angles whose sum is 90.
x²-2xy+y²
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
288 (8 9 4)

23. Describe the relationship between 3x^2 and 3(x - 1)^2
441000 = 1 10 10 10 21 * 21
Ab-ac
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Positive or Negative

24. Pi is a ratio of what to what?

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25. Product of any number and Ø is
23 - 29
NOT A PRIME
Ø
180 degrees

26. In a rectangle - all angles are
y2-y1/x2-x1
F(x + c)
Every number
Right

27. What is the graph of f(x) shifted downward c units or spaces?
360°
F(x) - c
(a + b)^2
Negative

28. What is the name of set with a number of elements which cannot be counted?
Ø
The second graph is less steep.
(distance)/(rate) d/r
An infinite set.

29. the slope of a line in y=mx+b
N! / (k!)(n-k)!
Subtract them. i.e (5^7)/(5^3)= 5^4
M
x²-2xy+y²

30. What is a minor arc?

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31. 25/2³
16.6666%
The steeper the slope.
72
2²

32. What is an exterior angle?
True
0
An angle which is supplementary to an interior angle.
180

33. In any polygon - all external angles equal up to
x²-2xy+y²
N! / (k!)(n-k)!
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.
360°

34. How to find the circumference of a circle which circumscribes a square?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
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)
Ab-ac
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

35. If the two sides of a triangle are unequal then the longer side.................
Reciprocal
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.)
Lies opposite the greater angle

36. Dividing by a number is the same as multiplying it by its
x(x - y + 1)
A natural number greater than 1 that has no positive divisors other than 1 and itself
A= (1/2) b*h
Reciprocal

37. Circumference of a Circle
C=2 x pi x r OR pi x D
Move the decimal point to the right x places
2^9 / 2 = 256
28. n = 8 - k = 2. n! / k!(n-k)!

38. What is the set of elements found in both A and B?
1
1 & 37/132
The interesection of A and B.
Smallest positive integer

39. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
Its divisible by 2 and by 3.
A= (1/2) b*h
11 - 13 - 17 - 19

40. Area of a circle
Even prime number
M
(pi)r²
2.592 kg

41. 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)!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
... the square of the ratios of the corresponding sides.
(a - b)(a + b)

42. The Denominator can never
x²-y²
1 - P(E)
The greatest value minus the smallest.
Be Zero!

43. What is a finite set?
A set with a number of elements which can be counted.
4:5
Sum of digits is a multiple of 3 and the last digit is even.
(base*height) / 2

44. 25+2³
F(x + c)
7 / 1000
(2x7)³
28

45. (6sqrt3) x (2sqrt5) =
3
16.6666%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/x

46. What is the graph of f(x) shifted upward c units or spaces?
(a + b)^2
F(x) + c
Ab+ac
Even

47. Ø²
Ø
16.6666%
0
70

48. How many sides does a hexagon have?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Positive or Negative
6
Distance=rate×time or d=rt

49. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
(x+y)(x-y)
90°
1
360/n

50. 5/8 in percent?
52
62.5%
y = 2x^2 - 3
Do not have slopes!