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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. 25+2³
A set with no members - denoted by a circle with a diagonal through it.
Factors are few - multiples are many.
x²+2xy+y²
28

2. b¹
x²-y²
1
13
Infinite.

3. Circumference of a circle?
10! / 3!(10-3)! = 120
A tangent is a line that only touches one point on the circumference of a circle.
Diameter(Pi)
The union of A and B.

4. Ø is a multiple of
90
C = (pi)d
Every number
Undefined

5. (2²)³
y = 2x^2 - 3
A=pi*(r^2)
26
2 & 3/7

6. a(b+c)
4.25 - 6 - 22
Ø Ø=Ø
Ab+ac
1:sqrt3:2

7. The objects in a set are called two names:
B?b?b (where b is used as a factor n times)
Members or elements
1
M= (Y1-Y2)/(X1-X2)

8. 3/8 in percent?
2sqrt6
A=(base)(height)
The union of A and B.
37.5%

9. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Do not have slopes!
Parallelogram
D/t (distance)/(time)
2sqrt6

10. 30< all primes<40
31 - 37
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(a - b)(a + b)
5

11. Describe the relationship between the graphs of x^2 and (1/2)x^2
A subset.
5 - 12 - 13
The second graph is less steep.
3 - 4 - 5

12. a^0 =
87.5%
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
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

13. What is the maximum value for the function g(x) = (-2x^2) -1?
Positive or Negative
1
The empty set - denoted by a circle with a diagonal through it.
P=4s (s=side)

14. 30 60 90
23 - 29
Positive or Negative
5 - 12 - 13
x - x(SR3) - 2x

15. Simplify the expression (p^2 - q^2)/ -5(q - p)
Smallest positive integer
(p + q)/5
The sum of its digits is divisible by 3.
180 degrees

16. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
87.5%
Ø Ø=Ø
18
83.333%

17. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
x - x(SR3) - 2x
11 - 13 - 17 - 19
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

18. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
Pi is the ratio of a circle'S circumference to its diameter.
angle that is greater than 90° but less than 180°
The two xes after factoring.

19. Distance
(rate)(time) d=rt
N! / (n-k)!
The empty set - denoted by a circle with a diagonal through it.
$3 -500 in the 9% and $2 -500 in the 7%.

20. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
1.0843 X 10^11
The set of elements which can be found in either A or B.
(n-2) x 180

21. What are complementary angles?
P=4s (s=side)
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)
Two angles whose sum is 90.
Even

22. Can you add sqrt 3 and sqrt 5?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
No - only like radicals can be added.
x^(2(4)) =x^8 = (x^4)^2

23. Which is greater? 64^5 or 16^8
A 30-60-90 triangle.
11 - 13 - 17 - 19
90pi
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

24. 3 is the opposite of
Do not have slopes!
F(x-c)
Ø
3

25. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
Do not have slopes!
90
5 - 12 - 13

26. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
A²+b²=c²
2(pi)r
All numbers multiples of 1.
2 & 3/7

27. Ø is
x²-2xy+y²
Positive or Negative
A multiple of every integer
26

28. What is an arc of a circle?
x²-y²
3 - -3
An arc is a portion of a circumference of a circle.
The steeper the slope.

29. Ø divided by 7
X
Ø=P(E)=1
A subset.
Ø

30. Simplify the expression [(b^2 - c^2) / (b - c)]
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
EVEN
The empty set - denoted by a circle with a diagonal through it.
(b + c)

31. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Subtract them. i.e (5^7)/(5^3)= 5^4
1
13
Cd

32. Ø²
The union of A and B.
10! / (10-3)! = 720
Ø
EVEN

33. Describe the relationship between 3x^2 and 3(x - 1)^2
The second graph is less steep.
X
A natural number greater than 1 that has no positive divisors other than 1 and itself
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

34. What is the 'Range' of a function?
8
The two xes after factoring.
an angle that is less than 90°
The set of output values for a function.

35. 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)]?
x - x(SR3) - 2x
The set of elements found in both A and B.
1.0843 X 10^11
True

36. 1 is an
x - x+1 - x+2
Null
ODD number
F(x) + c

37. In a Rectangle - each angles measures
70
90°
M= (Y1-Y2)/(X1-X2)
(p + q)/5

38. What are the irrational numbers?

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39. 1n
x²-2xy+y²
1
Infinite.
4a^2(b)

40. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A+c<b+c
.0004809 X 10^11
5 - 12 - 13

41. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
Triangles with same measure and same side lengths.
9
A=½bh
4:5

42. Probability of Event all cases
Diameter(Pi)
Ø=P(E)=1
An infinite set.
(amount of decrease/original price) x 100%

43. Perimeter of a rectangle
87.5%
27^(-4)
y/x is a constant
P= 2L + 2w

44. 25^(1/2) or sqrt. 25 =
angle that is greater than 90° but less than 180°
5 OR -5
Factors are few - multiples are many.
28

45. Formula to calculate arc length?
Ø
Even
Even prime number
Arc length = (n/360) x pi(2r) where n is the number of degrees.

46. Formula for the area of a circle?
10
1:1:sqrt2
A = pi(r^2)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

47. The Perimeter of a rectangle
x²-2xy+y²
Undefined - because we can'T divide by 0.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
P=2(l+w)

48. The larger the absolute value of the slope...
Triangles with same measure and same side lengths.
x^(6-3) = x^3
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The steeper the slope.

49. a>b then a - b is positive or negative?
The sum of digits is divisible by 9.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
A-b is positive
3 - -3

50. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
The steeper the slope.
y = 2x^2 - 3
1
Two angles whose sum is 180.