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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. 5/6 in percent?
83.333%
x^(6-3) = x^3
C = 2(pi)r
P(E) = 1/1 = 1

2. Dividing by a number is the same as multiplying it by its
Indeterminable.
Reciprocal
Right
C = (pi)d

3. 25/2³
V=l×w×h
y2-y1/x2-x1
2²
Do not have slopes!

4. Legs 5 - 12. Hypotenuse?
True
F(x + c)
13
x²-y²

5. binomial product of (x+y)(x-y)
71 - 73 - 79
Two angles whose sum is 90.
(b + c)
x²-y²

6. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
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
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
7 / 1000
360/n

7. a^0 =
A²+b²=c²
1
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

8. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
23 - 29
The two xes after factoring.
D/t (distance)/(time)

9. What is the 'Range' of a function?
3x - 4x - 5x
The set of output values for a function.
A natural number greater than 1 that has no positive divisors other than 1 and itself
The longest arc between points A and B on a circle'S diameter.

10. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
10! / 3!(10-3)! = 120
A reflection about the origin.
1/x
Two (Ø×2=Ø)

11. First 10 prime #s
y = (x + 5)/2
A set with a number of elements which can be counted.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x²+2xy+y²

12. What are the integers?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Even prime number
1:sqrt3:2
All numbers multiples of 1.

13. 1 is an
16.6666%
ODD number
x²-y²
Ø

14. The product of odd number of negative numbers
Negative
1/2 times 7/3
Ø Ø=Ø
3

15. Legs: 3 - 4. Hypotenuse?
5
Ø
Undefined - because we can'T divide by 0.
(2x7)³

16. 8.84 / 5.2
4.25 - 6 - 22
Null
1.7
All numbers multiples of 1.

17. the slope of a line in y=mx+b
(amount of decrease/original price) x 100%
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
9
M

18. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
Factors are few - multiples are many.
A<-b
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...

19. Important properties of a 30-60-90 triangle?
2(pi)r
37.5%
1.0843 X 10^11
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

20. What is the sum of the angles of a triangle?
Pi(diameter)
180 degrees
Positive
Edge³

21. How many 3-digit positive integers are even and do not contain the digit 4?
A reflection about the axis.
A = pi(r^2)
288 (8 9 4)
A grouping of the members within a set based on a shared characteristic.

22. (x^2)^4
x^(2(4)) =x^8 = (x^4)^2
3 - -3
.0004809 X 10^11
A chord is a line segment joining two points on a circle.

23. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
3 - 4 - 5
1/x
An infinite set.

24. 1 is a divisor of
V=l×w×h
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 sum of the digits is a multiple of 9.
Every number

25. The product of any number x and its reciprocal
Two angles whose sum is 180.
D=rt so r= d/t and t=d/r
zero
1

26. The larger the absolute value of the slope...
The steeper the slope.
y/x is a constant
A subset.
Sector area = (n/360) X (pi)r^2

27. Factor x^2 - xy + x.
C = 2(pi)r
y/x is a constant
x(x - y + 1)
an angle that is less than 90°

28. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
360°

29. What is the side length of an equilateral triangle with altitude 6?
The two xes after factoring.
The set of input values for a function.
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...
EVEN

30. 20<all primes<30
0
Ab+ac
Every number
23 - 29

31. Formula to find a circle'S circumference from its diameter?
13pi / 2
The longest arc between points A and B on a circle'S diameter.
True
C = (pi)d

32. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A set with no members - denoted by a circle with a diagonal through it.
(a - b)(a + b)

33. 10<all primes<20
11 - 13 - 17 - 19
1
A subset.
An angle which is supplementary to an interior angle.

34. 30 60 90
3 - 4 - 5
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Subtract them. i.e (5^7)/(5^3)= 5^4
x²-2xy+y²

35. b¹
1
4096
N! / (k!)(n-k)!
A reflection about the axis.

36. 70 < all primes< 80
Ab+ac
90pi
41 - 43 - 47
71 - 73 - 79

37. What is the intersection of A and B?
Move the decimal point to the right x places
The set of elements found in both A and B.
X
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)

38. 1/Ø=null If a>b then
52
180 degrees
A<-b
67 - 71 - 73

39. When multiplying exponential #s with the same base - you do this to the exponents...
(amount of decrease/original price) x 100%
Null
D=rt so r= d/t and t=d/r
Add them. i.e. (5^7) * (5^3) = 5^10

40. A number is divisible by 9 if...
Relationship cannot be determined (what if x is negative?)
V=Lwh
(base*height) / 2
The sum of digits is divisible by 9.

41. 25+2³
28
Positive
C = 2(pi)r
20.5

42. Obtuse Angle
angle that is greater than 90° but less than 180°
Ø=P(E)=1
Every number
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

43. 3 is the opposite of
9 & 6/7
27
A reflection about the axis.
3

44. binomial product of (x-y)²
(x+y)(x-y)
The set of elements which can be found in either A or B.
11 - 13 - 17 - 19
(a + b)^2

45. Formula to calculate arc length?
F(x + c)
The longest arc between points A and B on a circle'S diameter.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
9 : 25

46. Simplify the expression (p^2 - q^2)/ -5(q - p)
The two xes after factoring.
P= 2L + 2w
(p + q)/5
A reflection about the axis.

47. Consecutive integers
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
A+c<b+c
A chord is a line segment joining two points on a circle.
x - x+1 - x+2

48. 30< all primes<40
31 - 37
13pi / 2
The set of elements which can be found in either A or B.
The set of output values for a function.

49. Probability of E not occurring:
1 - P(E)
16.6666%
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)
= (actual decrease/Original amount) x 100%

50. For any number x
Can be negative - zero - or positive
A natural number greater than 1 that has no positive divisors other than 1 and itself
0
Every number