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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. 30 60 90
A reflection about the origin.
87.5%
72
x - x(SR3) - 2x

2. What is a finite set?
The set of input values for a function.
A set with a number of elements which can be counted.
4096
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)

3. (x+y)²
An expression with just one term (-6x - 2a^2)
180
A-b is negative
x²+2xy+y²

4. Ø²
C=2 x pi x r OR pi x D
Ø
Ab+ac
90

5. What are the members or elements of a set?
x²+2xy+y²
71 - 73 - 79
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The objects within a set.

6. When multiplying exponential #s with the same base - you do this to the exponents...
(amount of decrease/original price) x 100%
N! / (n-k)!
Add them. i.e. (5^7) * (5^3) = 5^10
NOT A PRIME

7. Acute Angle
The greatest value minus the smallest.
an angle that is less than 90°
The longest arc between points A and B on a circle'S diameter.
70

8. (x-y)²
48
(x+y)(x-y)
A natural number greater than 1 that has no positive divisors other than 1 and itself
x²-2xy+y²

9. What is the order of operations?
A=pi*(r^2)
The two xes after factoring.
Cd
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

10. Ø Is neither
$3 -500 in the 9% and $2 -500 in the 7%.
Triangles with same measure and same side lengths.
2(pi)r
Positive or Negative

11. 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?
12.5%
A²+b²=c²
1/a^6
10! / (10-3)! = 720

12. What is an exterior angle?
NOT A PRIME
An angle which is supplementary to an interior angle.
1/x
The direction of the inequality is reversed.

13. Legs: 3 - 4. Hypotenuse?
90pi
(a - b)(a + b)
5
Its divisible by 2 and by 3.

14. What is a minor arc?

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15. When dividing exponential #s with the same base - you do this to the exponents...
The set of output values for a function.
ODD number
Subtract them. i.e (5^7)/(5^3)= 5^4
Ø=P(E)=1

16. What is the slope of a horizontal line?
ODD number
67 - 71 - 73
Be Zero!
0

17. What are the smallest three prime numbers greater than 65?
(p + q)/5
A grouping of the members within a set based on a shared characteristic.
67 - 71 - 73
x^(4+7) = x^11

18. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
83.333%
13pi / 2
1/2 times 7/3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

19. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
Cd
A set with no members - denoted by a circle with a diagonal through it.
P= 2L + 2w

20. Describe the relationship between the graphs of x^2 and (1/2)x^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The second graph is less steep.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

21. The perimeter of a square is 48 inches. The length of its diagonal is:
The set of elements which can be found in either A or B.
P=4s (s=side)
12sqrt2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

22. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
3/2 - 5/3
8
An angle which is supplementary to an interior angle.

23. A number is divisible by 6 if...
Members or elements
C=2 x pi x r OR pi x D
Its divisible by 2 and by 3.
C = 2(pi)r

24. Which is greater? 200x^295 or 10x^294?
16.6666%
A chord is a line segment joining two points on a circle.
Relationship cannot be determined (what if x is negative?)
x^(2(4)) =x^8 = (x^4)^2

25. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
The set of output values for a function.
1.0843 X 10^11
1/2 times 7/3
y = (x + 5)/2

26. Vertical lines
Do not have slopes!
2.592 kg
Ø Ø=Ø
D/t (distance)/(time)

27. Describe the relationship between 3x^2 and 3(x - 1)^2
x^(4+7) = x^11
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A=½bh
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

28. What is the 'Range' of a function?
The set of output values for a function.
y = (x + 5)/2
Sum of digits is a multiple of 3 and the last digit is even.
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)

29. 25/2³
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
26
2²

30. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
F(x) - c
An expression with just one term (-6x - 2a^2)
70
Triangles with same measure and same side lengths.

31. A number is divisible by 9 if...
6
EVEN
The sum of digits is divisible by 9.
The sum of the digits is a multiple of 9.

32. 8.84 / 5.2
1.7
V=Lwh
6 : 1 : 2
A reflection about the origin.

33. What are congruent triangles?
70
(a - b)(a + b)
Undefined
Triangles with same measure and same side lengths.

34. 30 60 90
A multiple of every integer
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
3 - 4 - 5
1

35. What are 'Supplementary angles?'
The steeper the slope.
Null
x - x(SR3) - 2x
Two angles whose sum is 180.

36. Slope
y2-y1/x2-x1
12.5%
1.0843 X 10^11
90

37. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
The longest arc between points A and B on a circle'S diameter.
A reflection about the origin.
Cd
V=l×w×h

38. 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.)
D/t (distance)/(time)
2 & 3/7
Add them. i.e. (5^7) * (5^3) = 5^10

39. 50 < all primes< 60
Undefined
53 - 59
18
The sum of its digits is divisible by 3.

40. Dividing by a number is the same as multiplying it by its
Reciprocal
A subset.
x²-y²
9

41. Define an 'expression'.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The sum of the digits is a multiple of 9.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
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)

42. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Ab+ac
True
x²-2xy+y²

43. If a is positive - an is
Positive or Negative
Positive
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
90

44. What is a central angle?
Sum of digits is a multiple of 3 and the last digit is even.
Can be negative - zero - or positive
52
A central angle is an angle formed by 2 radii.

45. If a product of two numbers is Ø - one number must be
8
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Ø
y = 2x^2 - 3

46. What is the maximum value for the function g(x) = (-2x^2) -1?
1
The objects within a set.
An angle which is supplementary to an interior angle.
Do not have slopes!

47. Can you simplify sqrt72?
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
EVEN
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
12.5%

48. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
(a - b)^2
P= 2L + 2w
28. n = 8 - k = 2. n! / k!(n-k)!
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

49. Area of a circle
(pi)r²
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.
Sum of digits is a multiple of 3 and the last digit is even.
Ø

50. What is the intersection of A and B?
Undefined - because we can'T divide by 0.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(a + b)^2
The set of elements found in both A and B.