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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. Define a 'Term' -
The shortest arc between points A and B on a circle'S diameter.
(length)(width)(height)
10! / (10-3)! = 720
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)

2. binomial product of (x+y)(x-y)
x²-y²
90°
Pi(diameter)
10

3. An Angle that'S 180°
y2-y1/x2-x1
62.5%
130pi
Straight Angle

4. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A reflection about the origin.
52
C=2 x pi x r OR pi x D

5. If Event is impossible
Even
P(E) = ø
87.5%
C = (pi)d

6. 0^0
Undefined
P(E) = 1/1 = 1
The steeper the slope.
Subtract them. i.e (5^7)/(5^3)= 5^4

7. Slope of any line that goes up from left to right
87.5%
y2-y1/x2-x1
Positive
Positive or Negative

8. a>b then a - b is positive or negative?
Move the decimal point to the right x places
x²-y²
A-b is positive
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)

9. How many sides does a hexagon have?
All numbers multiples of 1.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
6
(a - b)(a + b)

10. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Triangles with same measure and same side lengths.
A central angle is an angle formed by 2 radii.
2^9 / 2 = 256

11. A prime number (or a prime)
360°
An infinite set.
A natural number greater than 1 that has no positive divisors other than 1 and itself
Positive or Negative

12. Probability of E not occurring:
P=2(l+w)
1 - P(E)
V=side³
The set of input values for a function.

13. bn
62.5%
A-b is negative
A=½bh
B?b?b (where b is used as a factor n times)

14. Area of a triangle?
(base*height) / 2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
6

15. 40 < all primes<50
41 - 43 - 47
y/x is a constant
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.)
The sum of the digits is a multiple of 9.

16. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
x - x+1 - x+2
83.333%
Move the decimal point to the right x places
$11 -448

17. Ø Is neither
Positive or Negative
1
90pi
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

18. What is a percent?
Edge³
5
55%
A percent is a fraction whose denominator is 100.

19. 4.809 X 10^7 =
.0004809 X 10^11
angle that is greater than 90° but less than 180°
48
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

20. Volume of a rectangular solid
Negative
0
(length)(width)(height)
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.)

21. Whats the difference between factors and multiples?
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
(rate)(time) d=rt
Factors are few - multiples are many.
A reflection about the axis.

22. Pi is a ratio of what to what?

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23. The sum of the measures of the n angles in a polygon with n sides
3 - -3
(p + q)/5
(n-2) x 180
M

24. One is (a prime or not?)
53 - 59
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
NOT A PRIME
An isosceles right triangle.

25. In any polygon - all external angles equal up to
A grouping of the members within a set based on a shared characteristic.
360°
x²+2xy+y²
75:11

26. The sum of the angles in a quadrilateral is
360°
Ø
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.
70

27. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
y = (x + 5)/2
Sector area = (n/360) X (pi)r^2
18
(2x7)³

28. A quadrilateral where two diagonals bisect each other
Parallelogram
Even
0
13

29. Describe the relationship between 3x^2 and 3(x - 1)^2
Null
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.)
Parallelogram
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

30. -3²
360°
x²-2xy+y²
1:1:sqrt2
9

31. 60 < all primes <70
Edge³
61 - 67
1
1

32. formula for distance problems
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Distance=rate×time or d=rt
x²+2xy+y²
x(x - y + 1)

33. What percent of 40 is 22?
31 - 37
F(x-c)
55%
y = 2x^2 - 3

34. A number is divisible by 9 if...
A+c<b+c
(amount of decrease/original price) x 100%
A<-b
The sum of digits is divisible by 9.

35. In a Rectangle - each angles measures
90°
3x - 4x - 5x
83.333%
A percent is a fraction whose denominator is 100.

36. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
83.333%
M= (Y1-Y2)/(X1-X2)
N! / (k!)(n-k)!
Every number

37. What does scientific notation mean?
A 30-60-90 triangle.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A=(base)(height)
1 - P(E)

38. How do you solve proportions? a/b=c/d
A central angle is an angle formed by 2 radii.
90
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Smallest positive integer

39. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
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.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Factors are few - multiples are many.
Its divisible by 2 and by 3.

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?
75:11
441000 = 1 10 10 10 21 * 21
1.0843 X 10^11
3

41. In a Regular Polygon - the measure of each exterior angle
(amount of decrease/original price) x 100%
5 - 12 - 13
The set of elements which can be found in either A or B.
360/n

42. The important properties of a 45-45-90 triangle?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
2sqrt6
Sum of digits is a multiple of 3 and the last digit is even.
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.

43. What is the set of elements which can be found in either A or B?
The union of A and B.
The set of input values for a function.
12.5%
Straight Angle

44. 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?
28
10! / (10-3)! = 720
2^9 / 2 = 256
75:11

45. Ø is
x - x(SR3) - 2x
10
Even
53 - 59

46. factored binomial product of (x+y)²
x(x - y + 1)
x²+2xy+y²
3
Move the decimal point to the right x places

47. First 10 prime #s
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
2
Ø=P(E)=1

48. Rate
4a^2(b)
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.)
D/t (distance)/(time)
3

49. Circumference of a circle
23 - 29
2(pi)r
V=l×w×h
4a^2(b)

50. The perimeter of a square is 48 inches. The length of its diagonal is:
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
12sqrt2
180
(amount of decrease/original price) x 100%