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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
zero
$11 -448
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
D=rt so r= d/t and t=d/r

2. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Reciprocal
4725
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.
(a + b)^2

3. What is the intersection of A and B?
1
Smallest positive integer
The set of elements found in both A and B.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

4. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
P(E) =
2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
9 : 25

5. Slope given 2 points
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
M= (Y1-Y2)/(X1-X2)
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)
angle that is greater than 90 but less than 180

6. 10<all primes<20
Every number
11 - 13 - 17 - 19
Undefined - because we can'T divide by 0.
EVEN

7. Can you add sqrt 3 and sqrt 5?
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.
No - only like radicals can be added.
90
180

8. 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?
441000 = 1 10 10 10 21 * 21
3
3
A reflection about the origin.

9. First 10 prime #s
Undefined - because we can'T divide by 0.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
EVEN
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

10. One is (a prime or not?)
Reciprocal
NOT A PRIME
Add them. i.e. (5^7) * (5^3) = 5^10
37.5%

11. 7/8 in percent?
Pi is the ratio of a circle'S circumference to its diameter.
A central angle is an angle formed by 2 radii.
87.5%
A=(base)(height)

12. What is the maximum value for the function g(x) = (-2x^2) -1?
1
A+b=c
.0004809 X 10^11
4096

13. What is the 'Range' of a series of numbers?
(a + b)^2
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
The greatest value minus the smallest.
Two equal sides and two equal angles.

14. Is neither
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
$11 -448
Positive or Negative
A grouping of the members within a set based on a shared characteristic.

15. For any number x
3
A subset.
A-b is negative
Can be negative - zero - or positive

16. Simplify the expression [(b^2 - c^2) / (b - c)]
y2-y1/x2-x1
(b + c)
(rate)(time) d=rt
(amount of decrease/original price) x 100%

17. binomial product of (x+y)

(x+y)(x+y)
Positive
4725

18. Number of degrees in a triangle
180
zero
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
9 & 6/7

19. Rate
D/t (distance)/(time)
83.333%
A+b=c
P=4s (s=side)

20. Perfect Squares 1-15
180
Even prime number
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

21. To increase a number by x%
V=side
Ab=k (k is a constant)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
(a - b)(a + b)

22. The sum of the measures of the n angles in a polygon with n sides
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)
(n-2) x 180
C = (pi)d
360

23. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
D/t (distance)/(time)
x-y
P= 2L + 2w
A reflection about the origin.

24. 30 60 90
Do not have slopes!
180
The sum of its digits is divisible by 3.
3 - 4 - 5

25. 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?
3x - 4x - 5x
13pi / 2
10! / (10-3)! = 720
C=2 x pi x r OR pi x D

26. 3/8 in percent?
16.6666%
F(x-c)
2(pi)r
37.5%

27. In a rectangle - all angles are
A subset.
Right
6
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)

28. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
Can be negative - zero - or positive
10! / (10-3)! = 720
11 - 13 - 17 - 19

29. What is the measure of an exterior angle of a regular pentagon?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
6
72
70

30. 7 divided by
The set of elements which can be found in either A or B.
An isosceles right triangle.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Null

31. a^2 - b^2
A set with no members - denoted by a circle with a diagonal through it.
(p + q)/5
(a - b)(a + b)
x+2xy+y

32. (12sqrt15) / (2sqrt5) =
C = 2(pi)r
Members or elements
Its last two digits are divisible by 4.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

33. What is a central angle?
A central angle is an angle formed by 2 radii.
11 - 13 - 17 - 19
(n-2) x 180
A subset.

34. What is the graph of f(x) shifted right c units or spaces?
Triangles with same measure and same side lengths.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A reflection about the axis.
F(x-c)

35. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The interesection of A and B.
180
5
1

36. The consecutive angles in a parallelogram equal
180
V=side
An angle which is supplementary to an interior angle.

37. How to find the circumference of a circle which circumscribes a square?
M= (Y1-Y2)/(X1-X2)
Distance=ratetime or d=rt
31 - 37
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

38. What is the 'union' of A and B?
28
(a + b)^2
1
The set of elements which can be found in either A or B.

39. The percent decrease of a quantity
= (actual decrease/Original amount) x 100%
Infinite.
M= (Y1-Y2)/(X1-X2)
Indeterminable.

40. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
x^(4+7) = x^11
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.)
8
Two (2=)

41. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
... the square of the ratios of the corresponding sides.
x^(4+7) = x^11
N! / (n-k)!
62.5%

42. What is the empty set?
x-y
27^(-4)
A set with no members - denoted by a circle with a diagonal through it.
6

43. Slope of any line that goes down as you move from left to right is
Distance=ratetime or d=rt
$3 -500 in the 9% and $2 -500 in the 7%.
3x - 4x - 5x
Negative

44. What is the 'domain' of a function?
y = 2x^2 - 3
130pi
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.
The set of input values for a function.

45. Is
Every number
EVEN
x-y

46. Area of a triangle?
Two (2=)
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)
Even
(base*height) / 2

47. What are the integers?
A reflection about the axis.
All numbers multiples of 1.
V=lwh
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)

48. The Denominator can never
52
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

Be Zero!

49. What is the name of set with a number of elements which cannot be counted?
An infinite set.
NOT A PRIME
3 - -3
1

50. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Undefined
6 : 1 : 2
12.5%
70

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