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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. A number is divisible by 9 if...
(a + b)^2
The set of elements found in both A and B.
The sum of digits is divisible by 9.
5 OR -5

2. What percent of 40 is 22?
55%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Diameter(Pi)
A percent is a fraction whose denominator is 100.

3. What is a percent?
A percent is a fraction whose denominator is 100.
(a - b)(a + b)
500
Positive

4. binomial product of (x+y)(x-y)
12sqrt2
X
x²-y²
(a - b)^2

5. Evaluate 4/11 + 11/12
6
The interesection of A and B.
1 & 37/132
The set of output values for a function.

6. Define a 'monomial'
4.25 - 6 - 22
An expression with just one term (-6x - 2a^2)
N! / (k!)(n-k)!
9

7. Volume of a rectangular solid
Its divisible by 2 and by 3.
Even prime number
(length)(width)(height)
An angle which is supplementary to an interior angle.

8. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
4:5
x²-2xy+y²
10! / 3!(10-3)! = 120

9. Time
Move the decimal point to the right x places
(distance)/(rate) d/r
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
6

10. What is the ratio of the sides of a 30-60-90 triangle?
4:5
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
1:sqrt3:2
Two angles whose sum is 180.

11. Legs 6 - 8. Hypotenuse?
F(x) - c
Every number
10
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.)

12. Evaluate (4^3)^2
Undefined - because we can'T divide by 0.
4096
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
83.333%

13. What is a central angle?
Infinite.
72
10! / (10-3)! = 720
A central angle is an angle formed by 2 radii.

14. What are complementary angles?
13pi / 2
The set of input values for a function.
Two angles whose sum is 90.
8

15. 4.809 X 10^7 =
.0004809 X 10^11
52
Right
A central angle is an angle formed by 2 radii.

16. How to find the circumference of a circle which circumscribes a square?
A+c<b+c
Straight Angle
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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.

17. (x^2)^4
(base*height) / 2
A set with a number of elements which can be counted.
9 : 25
x^(2(4)) =x^8 = (x^4)^2

18. What is the empty set?
1
angle that is greater than 90° but less than 180°
67 - 71 - 73
A set with no members - denoted by a circle with a diagonal through it.

19. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
500
3
48

20. Number of degrees in a triangle
130pi
x²-y²
180
(amount of decrease/original price) x 100%

21. Circumference of a circle
10
The greatest value minus the smallest.
3
Pi(diameter)

22. 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?
y = 2x^2 - 3
180°
1
10

23. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
A-b is negative
y = (x + 5)/2
The direction of the inequality is reversed.

24. 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?
500
Even prime number
Infinite.
90°

25. Can you add sqrt 3 and sqrt 5?
Triangles with same measure and same side lengths.
The set of elements found in both A and B.
No - only like radicals can be added.
A = length x width

26. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
2.592 kg
Smallest positive integer
The interesection of A and B.

27. b¹
1
Ø
x²-2xy+y²
Members or elements

28. a^2 - b^2 =
(a - b)(a + b)
Every number
4725
180

29. formula for area of a triangle
62.5%
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
A=½bh
1 - P(E)

30. a^2 - 2ab + b^2
18
37.5%
Even
(a - b)^2

31. Area of a triangle?
Do not have slopes!
x²-2xy+y²
(base*height) / 2
The objects within a set.

32. The perimeter of a square is 48 inches. The length of its diagonal is:
x^(2(4)) =x^8 = (x^4)^2
Parallelogram
The sum of the digits is a multiple of 9.
12sqrt2

33. formula for distance problems
A=½bh
Distance=rate×time or d=rt
x^(2(4)) =x^8 = (x^4)^2
P= 2L + 2w

34. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
Two angles whose sum is 90.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
x - x+1 - x+2

35. Probability of E not occurring:
Edge³
2(pi)r
360°
1 - P(E)

36. What is an isoceles triangle?
The sum of digits is divisible by 9.
3/2 - 5/3
Even
Two equal sides and two equal angles.

37. Positive integers that have exactly 2 positive divisors are
V=Lwh
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
D=rt so r= d/t and t=d/r

38. X is the opposite of
X
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The sum of the digits is a multiple of 9.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

39. Pi is a ratio of what to what?

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40. Area of a Parallelogram:
A=(base)(height)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
1/x
The steeper the slope.

41. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
Ø Ø=Ø
An angle which is supplementary to an interior angle.
90pi

42. Area of a rectangle
The set of elements found in both A and B.
A=pi*(r^2)
5 OR -5
A = length x width

43. (x-y)(x+y)
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)
x²-y²
The sum of the digits is a multiple of 9.
4.25 - 6 - 22

44. 40 < all primes<50
41 - 43 - 47
0
Reciprocal
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

45. How to recognize if a # is a multiple of 12
2sqrt6
The greatest value minus the smallest.
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.)
x - x+1 - x+2

46. a^2 - b^2
A set with no members - denoted by a circle with a diagonal through it.
18
(a - b)(a + b)
Ø

47. The product of any number x and its reciprocal
The set of elements which can be found in either A or B.
1
The interesection of A and B.
(x+y)(x+y)

48. Evaluate 3& 2/7 / 1/3
9 & 6/7
D/t (distance)/(time)
441000 = 1 10 10 10 21 * 21
2^9 / 2 = 256

49. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The direction of the inequality is reversed.
83.333%
28

50. 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?
2 & 3/7
6
x²-y²
10! / (10-3)! = 720