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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. Time
x^(2(4)) =x^8 = (x^4)^2
(distance)/(rate) d/r
Its last two digits are divisible by 4.
23 - 29

2. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
A = length x width
0
B?b?b (where b is used as a factor n times)

3. The important properties of a 45-45-90 triangle?
31 - 37
72
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.
1/x

4. X is the opposite of
71 - 73 - 79
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 overlapping sections.
X

5. Formula to find a circle'S circumference from its radius?
A<-b
The sum of the digits is a multiple of 9.
0
C = 2(pi)r

6. a^2 + 2ab + b^2
Ab-ac
2.592 kg
(a + b)^2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

7. Pythagorean theorem
Undefined
9 & 6/7
A = pi(r^2)
A²+b²=c²

8. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
C = (pi)d
75:11
4.25 - 6 - 22
55%

9. 0^0
28
A reflection about the origin.
Undefined
1

10. What is a major arc?

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11. Is 0 even or odd?
Even
N! / (k!)(n-k)!
= (actual decrease/Original amount) x 100%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

12. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
x²-y²
13pi / 2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Straight Angle

13. 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
The set of elements which can be found in either A or B.
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
180
N! / (n-k)!

14. What is the 'Solution' for a system of linear equations?
180
x²-y²
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The point of intersection of the systems.

15. When multiplying exponential #s with the same base - you do this to the exponents...
3/2 - 5/3
Add them. i.e. (5^7) * (5^3) = 5^10
y = 2x^2 - 3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

16. Consecutive integers
x²+2xy+y²
10
x - x+1 - x+2
3 - -3

17. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
A=pi*(r^2)
10! / 3!(10-3)! = 120
6
1:1:sqrt2

18. 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?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Even prime number
500
y/x is a constant

19. 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?
83.333%
10! / (10-3)! = 720
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.)
130pi

20. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
6 : 1 : 2
Cd
x²-2xy+y²

21. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
(n-2) x 180
Add them. i.e. (5^7) * (5^3) = 5^10
Positive or Negative

22. What is the order of operations?
2
16.6666%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
An angle which is supplementary to an interior angle.

23. What does scientific notation mean?
(base*height) / 2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A grouping of the members within a set based on a shared characteristic.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

24. Important properties of a 30-60-90 triangle?
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
x - x(SR3) - 2x
4.25 - 6 - 22
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.)

25. Simplify the expression [(b^2 - c^2) / (b - c)]
Ab-ac
360°
(b + c)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

26. A number is divisible by 3 if ...
The sum of the digits is a multiple of 9.
500
The sum of its digits is divisible by 3.
P=2(l+w)

27. How to recognize a # as a multiple of 4
9 & 6/7
A multiple of every integer
48
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.)

28. (x+y)²
x²+2xy+y²
C=2 x pi x r OR pi x D
Ab-ac
37.5%

29. What is an exterior angle?
P(E) = number of favorable outcomes/total number of possible outcomes
Subtract them. i.e (5^7)/(5^3)= 5^4
NOT A PRIME
An angle which is supplementary to an interior angle.

30. Area of a Parallelogram:
Null
Triangles with same measure and same side lengths.
A=(base)(height)
Even

31. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
(rate)(time) d=rt
90pi
12! / 5!7! = 792
ODD number

32. What is the slope of a horizontal line?
0
Diameter(Pi)
No - only like radicals can be added.
P=2(l+w)

33. To decrease a number by x%
9 : 25
Even
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

34. Circumference of a Circle
12.5%
C=2 x pi x r OR pi x D
P(E) = 1/1 = 1
No - only like radicals can be added.

35. 50 < all primes< 60
53 - 59
zero
The set of output values for a function.
1.7

36. Find the surface area of a cylinder with radius 3 and height 12.
Do not have slopes!
90pi
1
90

37. What is the surface area of a cylinder with radius 5 and height 8?
Two angles whose sum is 180.
130pi
Ø=P(E)=1
x(x - y + 1)

38. The consecutive angles in a parallelogram equal
D=rt so r= d/t and t=d/r
1.0843 X 10^11
True
180°

39. a<b then a - b is positive or negative?
3
A-b is negative
X
Ø

40. Describe the relationship between 3x^2 and 3(x - 1)^2
P(E) = ø
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(x+y)(x+y)
Ab=k (k is a constant)

41. 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?
1
Right
.0004809 X 10^11
441000 = 1 10 10 10 21 * 21

42. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
P(E) = number of favorable outcomes/total number of possible outcomes
.0004809 X 10^11
A=(base)(height)
90

43. P and r are factors of 100. What is greater - pr or 100?
Factors are few - multiples are many.
Indeterminable.
2 & 3/7
62.5%

44. What is an arc of a circle?
23 - 29
83.333%
An arc is a portion of a circumference of a circle.
2^9 / 2 = 256

45. Reduce: 4.8 : 0.8 : 1.6
A chord is a line segment joining two points on a circle.
6 : 1 : 2
The two xes after factoring.
A = pi(r^2)

46. Ø Is
(a - b)^2
1
Edge³
EVEN

47. In a Regular Polygon - the measure of each exterior angle
P=4s (s=side)
The longest arc between points A and B on a circle'S diameter.
360/n
130pi

48. Formula to calculate arc length?
Can be negative - zero - or positive
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A multiple of every integer
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

49. Rate
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)
D/t (distance)/(time)
(a - b)(a + b)
= (actual decrease/Original amount) x 100%

50. How many 3-digit positive integers are even and do not contain the digit 4?
1
A = length x width
288 (8 9 4)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)