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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. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
y = (x + 5)/2
EVEN
Cd
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

2. Define a 'Term' -
(b + c)
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)
The sum of digits is divisible by 9.
The sum of its digits is divisible by 3.

3. 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
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1
4.25 - 6 - 22

4. The perimeter of a square is 48 inches. The length of its diagonal is:
P=2(l+w)
x - x+1 - x+2
12sqrt2
27

5. Ø Is neither
Positive or Negative
An isosceles right triangle.
C=2 x pi x r OR pi x D
90°

6. 1 is a divisor of
Every number
Two equal sides and two equal angles.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
An expression with just one term (-6x - 2a^2)

7. If the two sides of a triangle are unequal then the longer side.................
= (actual decrease/Original amount) x 100%
7 / 1000
Lies opposite the greater angle
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

8. The product of odd number of negative numbers
Negative
Every number
Two equal sides and two equal angles.
A multiple of every integer

9. In a rectangle - all angles are
The sum of the digits is a multiple of 9.
zero
Right
9 : 25

10. Define an 'expression'.
Two angles whose sum is 90.
P(E) = 1/1 = 1
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)
Smallest positive integer

11. 30 60 90
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x - x(SR3) - 2x
Move the decimal point to the right x places
x²+2xy+y²

12. One is (a prime or not?)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Ø Ø=Ø
Factors are few - multiples are many.
NOT A PRIME

13. Perfect Squares 1-15
Ø
$3 -500 in the 9% and $2 -500 in the 7%.
A=½bh
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

14. Simplify 9^(1/2) X 4^3 X 2^(-6)?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
No - only like radicals can be added.
1
3

15. 1n
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Relationship cannot be determined (what if x is negative?)
D=rt so r= d/t and t=d/r

16. What is the ratio of the sides of an isosceles right triangle?
The sum of digits is divisible by 9.
Ø
1:1:sqrt2
1

17. 7/8 in percent?
Lies opposite the greater angle
87.5%
Straight Angle
A = pi(r^2)

18. If a is positive - an is
52
(distance)/(rate) d/r
Positive
The objects within a set.

19. Can you subtract 3sqrt4 from sqrt4?
1
1 & 37/132
52
Yes - like radicals can be added/subtracted.

20. Number of degrees in a triangle
180
28. n = 8 - k = 2. n! / k!(n-k)!
360°
A grouping of the members within a set based on a shared characteristic.

21. a/Ø
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Null
The direction of the inequality is reversed.
27^(-4)

22. Perimeter of a rectangle
23 - 29
P= 2L + 2w
D/t (distance)/(time)
A=(base)(height)

23. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
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.
0
8
360/n

24. How many multiples does a given number have?
11 - 13 - 17 - 19
Infinite.
Add them. i.e. (5^7) * (5^3) = 5^10
An infinite set.

25. a^2 - 2ab + b^2
Even
(a - b)^2
Even prime number
3

26. What is the slope of a vertical line?

27. How many sides does a hexagon have?
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
V=l×w×h
The union of A and B.
6

28. Any Horizontal line slope
(x+y)(x+y)
Even
5 - 12 - 13
zero

29. Vertical lines
75:11
The longest arc between points A and B on a circle'S diameter.
1/a^6
Do not have slopes!

30. If a lamp increases from $80 to $100 - what is the percent increase?
y/x is a constant
All numbers multiples of 1.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
10! / (10-3)! = 720

31. Ø is
1
Do not have slopes!
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.)
A multiple of every integer

32. What is a percent?
A percent is a fraction whose denominator is 100.
180 degrees
10! / 3!(10-3)! = 120
Yes - like radicals can be added/subtracted.

33. Area of a circle
9 & 6/7
(pi)r²
360/n
x²-y²

34. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(a + b)^2
Members or elements
28. n = 8 - k = 2. n! / k!(n-k)!

35. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
1
A central angle is an angle formed by 2 radii.
75:11
A 30-60-90 triangle.

36. (a^-1)/a^5
0
x - x+1 - x+2
1/a^6
87.5%

37. Probability of Event all cases
Distance=rate×time or d=rt
Positive
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
Ø=P(E)=1

38. bn
75:11
y2-y1/x2-x1
1
B?b?b (where b is used as a factor n times)

39. Is 0 even or odd?
1
Diameter(Pi)
Even
11 - 13 - 17 - 19

40. If a is inversely porportional to b - what does it equal?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(length)(width)(height)
Ab=k (k is a constant)
A=½bh

41. Factor a^2 + 2ab + b^2
y = 2x^2 - 3
(a + b)^2
71 - 73 - 79
Two angles whose sum is 180.

42. If Event is impossible
P(E) = ø
Triangles with same measure and same side lengths.
13pi / 2
The second graph is less steep.

43. Area of a circle
1
The interesection of A and B.
Negative
A=pi*(r^2)

44. x^2 = 9. What is the value of x?
Can be negative - zero - or positive
(a - b)(a + b)
x²-y²
3 - -3

45. -3²
y = (x + 5)/2
5 - 12 - 13
9
F(x) + c

46. How to recognize if a # is a multiple of 12
The set of elements found in both A and 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.)
P= 2L + 2w
C = 2(pi)r

47. Define a 'monomial'
A=(base)(height)
Be Zero!
An expression with just one term (-6x - 2a^2)
$11 -448

48. Dividing by a number is the same as multiplying it by its
$3 -500 in the 9% and $2 -500 in the 7%.
V=side³
A percent is a fraction whose denominator is 100.
Reciprocal

49. What is the 'union' of A and B?
52
1/x
Triangles with same measure and same side lengths.
The set of elements which can be found in either A or B.

50. Slope of any line that goes up from left to right
6 : 1 : 2
Positive
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
67 - 71 - 73