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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. What are complementary angles?
Every number
Two angles whose sum is 90.
Move the decimal point to the right x places
The set of input values for a function.

2. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
D/t (distance)/(time)
500
A reflection about the axis.
41 - 43 - 47

3. For any number x
Can be negative - zero - or positive
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Its last two digits are divisible by 4.
Diameter(Pi)

4. 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.
23 - 29
An infinite set.
1

5. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
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.)
(a + b)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

6. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
Members or elements
A 30-60-90 triangle.
5 - 12 - 13

7. 25^(1/2) or sqrt. 25 =
Positive or Negative
10
A 30-60-90 triangle.
5 OR -5

8. The larger the absolute value of the slope...
The steeper the slope.
75:11
Straight Angle
P= 2L + 2w

9. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
4.25 - 6 - 22
ODD number
9 : 25
Relationship cannot be determined (what if x is negative?)

10. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
55%
75:11

11. P and r are factors of 100. What is greater - pr or 100?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Indeterminable.
11 - 13 - 17 - 19
Lies opposite the greater angle

12. Circumference of a Circle
y = (x + 5)/2
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)
C=2 x pi x r OR pi x D
4725

13. The sum of the measures of the n angles in a polygon with n sides
61 - 67
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
(2x7)³
(n-2) x 180

14. Probability of an Event
130pi
ODD number
P(E) = number of favorable outcomes/total number of possible outcomes
70

15. Ø is a multiple of
41 - 43 - 47
Every number
Be Zero!
(length)(width)(height)

16. Is 0 even or odd?
27
37.5%
Even
zero

17. Dividing by a number is the same as multiplying it by its
Reciprocal
16.6666%
62.5%
1/x

18. If E is certain
y = 2x^2 - 3
P(E) = 1/1 = 1
Triangles with same measure and same side lengths.
5 - 12 - 13

19. Positive integers that have exactly 2 positive divisors are
A+c<b+c
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
5 OR -5
Two angles whose sum is 180.

20. How to determine percent decrease?
A+c<b+c
(amount of decrease/original price) x 100%
(a + b)^2
2(pi)r

21. a(b-c)
Ab-ac
48
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(2x7)³

22. What is the order of operations?
1:sqrt3:2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

23. Describe the relationship between the graphs of x^2 and (1/2)x^2
An infinite set.
1
A multiple of every integer
The second graph is less steep.

24. What are the members or elements of a set?
1
The objects within a set.
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)
Undefined - because we can'T divide by 0.

25. What is the slope of a horizontal line?
2^9 / 2 = 256
A set with a number of elements which can be counted.
Its divisible by 2 and by 3.
0

26. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
(a - b)^2
C = 2(pi)r
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.

27. What does scientific notation mean?
NOT A PRIME
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Cd
x²-2xy+y²

28. Rate
Undefined
D/t (distance)/(time)
x²-y²
C = 2(pi)r

29. Pi is a ratio of what to what?

30. 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?
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
10! / (10-3)! = 720
Sector area = (n/360) X (pi)r^2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

31. 3/8 in percent?
Sector area = (n/360) X (pi)r^2
37.5%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
P(E) = ø

32. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
= (actual decrease/Original amount) x 100%
130pi
83.333%

33. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
The union of A and B.
Two angles whose sum is 180.
0
4a^2(b)

34. How to recognize a multiple of 6
(n-2) x 180
71 - 73 - 79
N! / (n-k)!
Sum of digits is a multiple of 3 and the last digit is even.

35. Vertical lines
C = (pi)d
Do not have slopes!
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1/a^6

36. 5x^2 - 35x -55 = 0
= (actual decrease/Original amount) x 100%
y/x is a constant
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Sum of digits is a multiple of 3 and the last digit is even.

37. 20<all primes<30
Members or elements
Ø=P(E)=1
52
23 - 29

38. Ø divided by 7
Ø
The longest arc between points A and B on a circle'S diameter.
2²
The set of elements found in both A and B.

39. The only number that is equal to its opposite
y = (x + 5)/2
Ø Ø=Ø
1
A=½bh

40. In a rectangle - all angles are
Ø
(a - b)^2
C = 2(pi)r
Right

41. factored binomial product of (x-y)²
Its divisible by 2 and by 3.
x²-2xy+y²
Infinite.
9 : 25

42. Find distance when given time and rate
500
The sum of its digits is divisible by 3.
D=rt so r= d/t and t=d/r
48

43. A quadrilateral where two diagonals bisect each other
4096
Parallelogram
Ø
Ø=P(E)=1

44. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
The greatest value minus the smallest.
Right
x(x - y + 1)

45. 1 is a divisor of
Reciprocal
Parallelogram
(pi)r²
Every number

46. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
3 - -3
67 - 71 - 73
Negative

47. Simplify (a^2 + b)^2 - (a^2 - b)^2
A set with a number of elements which can be counted.
2.592 kg
1
4a^2(b)

48. What is the 'domain' of a function?
A²+b²=c²
The set of input values for a function.
Subtract them. i.e (5^7)/(5^3)= 5^4
Parallelogram

49. 40 < all primes<50
41 - 43 - 47
90
V=side³
Undefined

50. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Subtract them. i.e (5^7)/(5^3)= 5^4
An infinite set.
2^9 / 2 = 256
8