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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. -3²
Ø
1
9
61 - 67

2. The only number that is equal to its opposite
The direction of the inequality is reversed.
Ø Ø=Ø
(a - b)(a + b)
x^(4+7) = x^11

3. If Event is impossible
Edge³
The longest arc between points A and B on a circle'S diameter.
9 & 6/7
P(E) = ø

4. What percent of 40 is 22?
P(E) = ø
Even
55%
28

5. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1 - P(E)
130pi
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.)

6. 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?
(amount of decrease/original price) x 100%
D=rt so r= d/t and t=d/r
= (actual decrease/Original amount) x 100%
N! / (n-k)!

7. Which is greater? 200x^295 or 10x^294?
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.
F(x) + c
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)
Relationship cannot be determined (what if x is negative?)

8. Define an 'expression'.
500
62.5%
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)
A=(base)(height)

9. How to recognize a # as a multiple of 9
2²
The sum of the digits is a multiple of 9.
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)
ODD number

10. 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)
3 - 4 - 5
... the square of the ratios of the corresponding sides.
18
4.25 - 6 - 22

11. factored binomial product of (x-y)²
x - x(SR3) - 2x
x²-2xy+y²
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.
Parallelogram

12. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
A= (1/2) b*h
3 - 4 - 5
2²

13. 3 is the opposite of
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
3
27^(-4)
x^(4+7) = x^11

14. 30< all primes<40
31 - 37
Can be negative - zero - or positive
53 - 59
12! / 5!7! = 792

15. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Two (Ø×2=Ø)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
P(E) = 1/1 = 1

16. How many sides does a hexagon have?
The steeper the slope.
1.7
87.5%
6

17. The consecutive angles in a parallelogram equal
M
Ab-ac
180°
Ø

18. formula for distance problems
X
Distance=rate×time or d=rt
87.5%
P(E) = ø

19. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
.0004809 X 10^11
Even
13pi / 2

20. 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
Ab+ac
C = (pi)d
2²

21. When multiplying exponential #s with the same base - you do this to the exponents...
EVEN
Add them. i.e. (5^7) * (5^3) = 5^10
x²-2xy+y²
A 30-60-90 triangle.

22. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
Diameter(Pi)
y = (x + 5)/2
0
Null

23. Circumference of a circle?
441000 = 1 10 10 10 21 * 21
Diameter(Pi)
The longest arc between points A and B on a circle'S diameter.
V=l×w×h

24. How do you solve proportions? a/b=c/d
90
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Null
An arc is a portion of a circumference of a circle.

25. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
y = (x + 5)/2
True
2sqrt6
Its last two digits are divisible by 4.

26. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
P= 2L + 2w
The point of intersection of the systems.
A reflection about the axis.
67 - 71 - 73

27. x^4 + x^7 =
41 - 43 - 47
Ø
x^(4+7) = x^11
Ø

28. 25^(1/2) or sqrt. 25 =
5 OR -5
An angle which is supplementary to an interior angle.
1 & 37/132
The two xes after factoring.

29. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
3x - 4x - 5x
Its divisible by 2 and by 3.
An infinite set.
1

30. What are the real numbers?
P=2(l+w)
Factors are few - multiples are many.
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)
360°

31. Ø is a multiple of
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Right
Two angles whose sum is 90.
Every number

32. If y is directly proportional to x - what does it equal?
y/x is a constant
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
P(E) = number of favorable outcomes/total number of possible outcomes
x²-2xy+y²

33. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
The sum of its digits is divisible by 3.
A multiple of every integer
10! / 3!(10-3)! = 120
3

34. (x-y)²
Indeterminable.
x²-2xy+y²
Null
Ø

35. Probability of Event all cases
P(E) = 1/1 = 1
Ø=P(E)=1
A<-b
130pi

36. What are the irrational numbers?

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37. 5/8 in percent?
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)
71 - 73 - 79
x²+2xy+y²
62.5%

38. Area of a circle
A=pi*(r^2)
The point of intersection of the systems.
An angle which is supplementary to an interior angle.
M= (Y1-Y2)/(X1-X2)

39. Can you subtract 3sqrt4 from sqrt4?
1 & 37/132
A reflection about the origin.
6
Yes - like radicals can be added/subtracted.

40. What are the integers?
The shortest arc between points A and B on a circle'S diameter.
1
Ø Ø=Ø
All numbers multiples of 1.

41. Positive integers that have exactly 2 positive divisors are
A<-b
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
(n-2) x 180
A reflection about the axis.

42. a/Ø
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
an angle that is less than 90°
Null
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

43. Convert 0.7% to a fraction.
7 / 1000
(a - b)(a + b)
12.5%
4725

44. In a rectangle - all angles are
Right
(a + b)^2
9
12.5%

45. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
A reflection about the axis.
3 - 4 - 5
12.5%

46. Reduce: 4.8 : 0.8 : 1.6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
62.5%
9 & 6/7
6 : 1 : 2

47. Slope given 2 points
90°
4:5
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
M= (Y1-Y2)/(X1-X2)

48. 30 60 90
3 - 4 - 5
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
No - only like radicals can be added.
Be Zero!

49. 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?
500
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)
(x+y)(x+y)
72

50. What are complementary angles?
6
Two angles whose sum is 90.
0
x²+2xy+y²