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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. binomial product of (x+y)(x-y)
1.0843 X 10^11
x²-y²
9 : 25
500

2. the measure of a straight angle
180°
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Edge³
Parallelogram

3. The reciprocal of any non-zero number is
1/x
3
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
EVEN

4. 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
Add them. i.e. (5^7) * (5^3) = 5^10
Positive
P(E) = ø

5. The reciprocal of any non-zero #x is
F(x) + c
Its divisible by 2 and by 3.
A=½bh
1/x

6. What are congruent triangles?
360°
Triangles with same measure and same side lengths.
Every number
Undefined - because we can'T divide by 0.

7. Legs 5 - 12. Hypotenuse?
X
13
An is positive
18

8. A number is divisible by 4 is...
x^(6-3) = x^3
A 30-60-90 triangle.
Its last two digits are divisible by 4.
All numbers multiples of 1.

9. The percent decrease of a quantity
The greatest value minus the smallest.
The set of elements found in both A and B.
A multiple of every integer
= (actual decrease/Original amount) x 100%

10. 60 < all primes <70
61 - 67
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The sum of digits is divisible by 9.
Sector area = (n/360) X (pi)r^2

11. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
A+c<b+c
Ø=P(E)=1
180°

12. Slope of any line that goes down as you move from left to right is
Indeterminable.
72
Right
Negative

13. How to recognize a multiple of 6
Two equal sides and two equal angles.
The two xes after factoring.
Sum of digits is a multiple of 3 and the last digit is even.
Positive or Negative

14. How to find the circumference of a circle which circumscribes a square?
(2x7)³
Move the decimal point to the right x places
Reciprocal
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

15. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
4096
Be Zero!
2^9 / 2 = 256
Lies opposite the greater angle

16. How many sides does a hexagon have?
6
10! / 3!(10-3)! = 120
A subset.
9 & 6/7

17. 10<all primes<20
11 - 13 - 17 - 19
Ø
Null
500

18. Pythagorean theorem
The empty set - denoted by a circle with a diagonal through it.
A²+b²=c²
F(x + c)
P(E) = ø

19. (12sqrt15) / (2sqrt5) =
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1
Ø

20. The sum of the measures of the n angles in a polygon with n sides
27^(-4)
(a - b)(a + b)
(n-2) x 180
A chord is a line segment joining two points on a circle.

21. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
1:1:sqrt2
The longest arc between points A and B on a circle'S diameter.
Its divisible by 2 and by 3.

22. a/Ø
Null
72
y2-y1/x2-x1
x²-2xy+y²

23. What are the integers?
3 - -3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The sum of the digits is a multiple of 9.
All numbers multiples of 1.

24. Evaluate 4/11 + 11/12
Do not have slopes!
1 & 37/132
Ø
V=l×w×h

25. 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
1/x
18
The set of elements which can be found in either A or B.

26. (x-y)(x+y)
x²-y²
6
(amount of decrease/original price) x 100%
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)

27. 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))?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Ab+ac
A multiple of every integer
20.5

28. Rate
X
D/t (distance)/(time)
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.)
Pi(diameter)

29. What is the maximum value for the function g(x) = (-2x^2) -1?
1
5
31 - 37
A<-b

30. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Infinite.
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.)
V=l×w×h
2

31. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
1
Subtract them. i.e (5^7)/(5^3)= 5^4
A=pi*(r^2)

32. Obtuse Angle
D/t (distance)/(time)
N! / (n-k)!
angle that is greater than 90° but less than 180°
ODD number

33. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
True
52
1:1:sqrt2
(length)(width)(height)

34. Whats the difference between factors and multiples?
Factors are few - multiples are many.
D/t (distance)/(time)
Reciprocal
The sum of the digits is a multiple of 9.

35. If a is positive - an is
360°
Positive
EVEN
Infinite.

36. 1/8 in percent?
90°
12sqrt2
12.5%
2²

37. x^4 + x^7 =
9 & 6/7
1
1 - P(E)
x^(4+7) = x^11

38. 50 < all primes< 60
Parallelogram
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
(amount of decrease/original price) x 100%
53 - 59

39. The Perimeter of a Square
75:11
16.6666%
The set of output values for a function.
P=4s (s=side)

40. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
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
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(n-2) x 180
Cd

41. Vertical lines
Do not have slopes!
A tangent is a line that only touches one point on the circumference of a circle.
x^(6-3) = x^3
(pi)r²

42. What is the measure of an exterior angle of a regular pentagon?
5 - 12 - 13
72
62.5%
x²-y²

43. What is the 'Range' of a series of numbers?
Parallelogram
x - x+1 - x+2
The greatest value minus the smallest.
1/x

44. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
2²
EVEN
180

45. 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)
13pi / 2
2.592 kg
4.25 - 6 - 22
3

46. Convert 0.7% to a fraction.
The empty set - denoted by a circle with a diagonal through it.
Every number
28. n = 8 - k = 2. n! / k!(n-k)!
7 / 1000

47. 1/2 divided by 3/7 is the same as
(distance)/(rate) d/r
1/2 times 7/3
The set of output values for a function.
75:11

48. 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?
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.)
5 OR -5
441000 = 1 10 10 10 21 * 21
13

49. What is the name for a grouping of the members within a set based on a shared characteristic?
Edge³
The interesection of A and B.
A subset.
V=Lwh

50. 30 60 90
(amount of decrease/original price) x 100%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
x - x(SR3) - 2x