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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. 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?
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
C = (pi)d
83.333%
67 - 71 - 73

2. What is an isoceles triangle?
Two equal sides and two equal angles.
5 - 12 - 13
Pi(diameter)
A = length x width

3. The product of odd number of negative numbers
Negative
288 (8 9 4)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A percent is a fraction whose denominator is 100.

4. What is the name of set with a number of elements which cannot be counted?
20.5
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An infinite set.
1 - P(E)

5. What is the slope of a horizontal line?
6
A²+b²=c²
9
0

6. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
Undefined - because we can'T divide by 0.
x(x - y + 1)
31 - 37

7. formula for area of a triangle
(a - b)(a + b)
(p + q)/5
The sum of digits is divisible by 9.
A=½bh

8. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Right
The set of input values for a function.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

9. What is the measure of an exterior angle of a regular pentagon?
Two (Ø×2=Ø)
A set with a number of elements which can be counted.
87.5%
72

10. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
6 : 1 : 2
1
8
Even prime number

11. bn
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
B?b?b (where b is used as a factor n times)
1/a^6
(p + q)/5

12. Circumference of a circle
2(pi)r
360/n
P(E) = number of favorable outcomes/total number of possible outcomes
The point of intersection of the systems.

13. Ø is a multiple of
Two (Ø×2=Ø)
Negative
The direction of the inequality is reversed.
28. n = 8 - k = 2. n! / k!(n-k)!

14. Obtuse Angle
Pi is the ratio of a circle'S circumference to its diameter.
1.7
angle that is greater than 90° but less than 180°
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

15. -3³
27
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)
(a + b)^2
The objects within a set.

16. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
The longest arc between points A and B on a circle'S diameter.
Right
2^9 / 2 = 256
NOT A PRIME

17. Any Horizontal line slope
The two xes after factoring.
1.7
4.25 - 6 - 22
zero

18. (6sqrt3) x (2sqrt5) =
83.333%
Diameter(Pi)
The set of elements which can be found in either A or B.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

19. (12sqrt15) / (2sqrt5) =
10
53 - 59
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
B?b?b (where b is used as a factor n times)

20. The Perimeter of a rectangle
Sum of digits is a multiple of 3 and the last digit is even.
3x - 4x - 5x
P=2(l+w)
An expression with just one term (-6x - 2a^2)

21. How do you solve proportions? a/b=c/d
1 - P(E)
x - x(SR3) - 2x
3
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

22. What is the 'domain' of a function?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
The set of input values for a function.
27^(-4)
180°

23. Can you subtract 3sqrt4 from sqrt4?
A=(base)(height)
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.
28
Yes - like radicals can be added/subtracted.

24. Probability of E not occurring:
9
441000 = 1 10 10 10 21 * 21
1 - P(E)
P(E) = ø

25. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
P=2(l+w)
28. n = 8 - k = 2. 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.
$11 -448

26. What is the set of elements found in both A and B?
Undefined - because we can'T divide by 0.
y2-y1/x2-x1
Sum of digits is a multiple of 3 and the last digit is even.
The interesection of A and B.

27. Define a 'monomial'
Subtract them. i.e (5^7)/(5^3)= 5^4
The steeper the slope.
A grouping of the members within a set based on a shared characteristic.
An expression with just one term (-6x - 2a^2)

28. 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)!
All numbers multiples of 1.
Cd
1/a^6

29. Volume of a rectangular solid
500
(length)(width)(height)
55%
A set with no members - denoted by a circle with a diagonal through it.

30. Evaluate (4^3)^2
180°
4096
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.
180 degrees

31. What is the 'Solution' for a set of inequalities.
360°
The overlapping sections.
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
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

32. a>b then a - b is positive or negative?
P(E) = number of favorable outcomes/total number of possible outcomes
x²-2xy+y²
A-b is positive
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

33. What are complementary angles?
Two angles whose sum is 90.
1:sqrt3:2
x²-2xy+y²
Ø

34. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Factors are few - multiples are many.
A reflection about the axis.
The second graph is less steep.

35. Convert 0.7% to a fraction.
7 / 1000
x^(2(4)) =x^8 = (x^4)^2
.0004809 X 10^11
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

36. Can you simplify sqrt72?
A²+b²=c²
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
A = length x width
Negative

37. What is the slope of a vertical line?

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38. Time
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
23 - 29
x - x(SR3) - 2x
(distance)/(rate) d/r

39. 30 60 90
Indeterminable.
The interesection of A and B.
3x - 4x - 5x
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

40. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
441000 = 1 10 10 10 21 * 21
Do not have slopes!
The shortest arc between points A and B on a circle'S diameter.
The empty set - denoted by a circle with a diagonal through it.

41. If y is directly proportional to x - what does it equal?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
5 OR -5
y/x is a constant
P= 2L + 2w

42. Distance
1
Ab=k (k is a constant)
(rate)(time) d=rt
x²-y²

43. How to recognize a multiple of 6
True
2^9 / 2 = 256
61 - 67
Sum of digits is a multiple of 3 and the last digit is even.

44. 4.809 X 10^7 =
.0004809 X 10^11
Two (Ø×2=Ø)
71 - 73 - 79
EVEN

45. Which is greater? 200x^295 or 10x^294?
53 - 59
31 - 37
Relationship cannot be determined (what if x is negative?)
1.7

46. Describe the relationship between the graphs of x^2 and (1/2)x^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.
The second graph is less steep.
Be Zero!
83.333%

47. What is an exterior angle?
An angle which is supplementary to an interior angle.
A subset.
67 - 71 - 73
1

48. 5x^2 - 35x -55 = 0
Pi(diameter)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A=pi*(r^2)
180°

49. 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?
10! / (10-3)! = 720
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Move the decimal point to the right x places
Infinite.

50. Circumference of a Circle
F(x-c)
Pi(diameter)
x^(2(4)) =x^8 = (x^4)^2
C=2 x pi x r OR pi x D