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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 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
$11 -448
Null
3 - -3

2. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A set with no members - denoted by a circle with a diagonal through it.
9
5 - 12 - 13

3. 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
An expression with just one term (-6x - 2a^2)
True
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

4. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The second graph is less steep.
10
The union of A and B.

5. Circumference of a Circle
The sum of the digits is a multiple of 9.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
20.5
C=2 x pi x r OR pi x D

6. factored binomial product of (x-y)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.
x²-2xy+y²
C=2 x pi x r OR pi x D
2(pi)r

7. Probability of E not occurring:
1 - P(E)
27^(-4)
Can be negative - zero - or positive
V=side³

8. What does scientific notation mean?
55%
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

9. Ø²
x^(2(4)) =x^8 = (x^4)^2
55%
1.7
Ø

10. a>b then a - b is positive or negative?
Two angles whose sum is 180.
A-b is positive
Even
x²-2xy+y²

11. The Perimeter of a rectangle
y = 2x^2 - 3
Even
Negative
P=2(l+w)

12. Ø Is neither
23 - 29
180 degrees
Null
Positive or Negative

13. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
(amount of decrease/original price) x 100%
Be Zero!
18

14. What is a percent?
Positive
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2.592 kg
A percent is a fraction whose denominator is 100.

15. 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))?
Indeterminable.
130pi
20.5
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

16. What is the 'Solution' for a system of linear equations?
(b + c)
The point of intersection of the systems.
4096
5

17. Any Horizontal line slope
Pi(diameter)
8
zero
Its last two digits are divisible by 4.

18. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
Negative
A= (1/2) b*h
8
3x - 4x - 5x

19. Rate
16.6666%
The objects within a set.
D/t (distance)/(time)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

20. a^2 + 2ab + b^2
A set with no members - denoted by a circle with a diagonal through it.
The sum of digits is divisible by 9.
180
(a + b)^2

21. (x-y)²
x²-2xy+y²
The set of output values for a function.
y2-y1/x2-x1
83.333%

22. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
5
1
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1:sqrt3:2

23. In a rectangle - all angles are
13
61 - 67
The set of input values for a function.
Right

24. Legs 6 - 8. Hypotenuse?
1
10
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1.7

25. The sum of the angles in a quadrilateral is
1/a^6
360°
(a - b)(a + b)
10

26. Area of a triangle
71 - 73 - 79
A= (1/2) b*h
72
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

27. What are the irrational numbers?

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28. 0^0
Undefined
Can be negative - zero - or positive
No - only like radicals can be added.
28

29. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
1/x
180
The interesection of A and B.
9 : 25

30. 5/8 in percent?
The sum of its digits is divisible by 3.
A 30-60-90 triangle.
62.5%
360/n

31. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
52
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Negative

32. Pi is a ratio of what to what?

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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)]
A subset.
0
1
5 - 12 - 13

34. x^2 = 9. What is the value of x?
Even
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The longest arc between points A and B on a circle'S diameter.
3 - -3

35. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
N! / (n-k)!
The longest arc between points A and B on a circle'S diameter.
16.6666%

36. a<b then a - b is positive or negative?
500
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
27
A-b is negative

37. A prime number (or a prime)
Move the decimal point to the right x places
2 & 3/7
x²+2xy+y²
A natural number greater than 1 that has no positive divisors other than 1 and itself

38. formula for the volume of a cube
D=rt so r= d/t and t=d/r
A = length x width
Lies opposite the greater angle
V=side³

39. Convert 0.7% to a fraction.
288 (8 9 4)
7 / 1000
$11 -448
Even

40. a/Ø
Null
x²-2xy+y²
Parallelogram
A set with a number of elements which can be counted.

41. What is a major arc?

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42. Which is greater? 27^(-4) or 9^(-8)
1
27^(-4)
M
A tangent is a line that only touches one point on the circumference of a circle.

43. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
V=l×w×h
500
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1 & 37/132

44. b¹
P(E) = number of favorable outcomes/total number of possible outcomes
1
2.592 kg
A=(base)(height)

45. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
Positive
The sum of its digits is divisible by 3.
Can be negative - zero - or positive

46. Ø Is
EVEN
26
(a + b)^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

47. What is a minor arc?

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48. Evaluate 4/11 + 11/12
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1 & 37/132
Straight Angle
Do not have slopes!

49. Legs: 3 - 4. Hypotenuse?
Negative
x²-2xy+y²
The sum of its digits is divisible by 3.
5

50. What is the 'Range' of a function?
Ø Ø=Ø
The set of output values for a function.
(pi)r²
10! / 3!(10-3)! = 120