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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. Which is greater? 64^5 or 16^8
1:1:sqrt2
Sum of digits is a multiple of 3 and the last digit is even.
The set of output values for a function.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

2. The important properties of a 45-45-90 triangle?
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.)
(rate)(time) d=rt
The overlapping sections.
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.

3. Ø is a multiple of
D/t (distance)/(time)
Two (Ø×2=Ø)
3
an angle that is less than 90°

4. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
x(x - y + 1)
P(E) = ø
A=pi*(r^2)

5. A prime number (or a prime)
28. n = 8 - k = 2. n! / k!(n-k)!
Smallest positive integer
A natural number greater than 1 that has no positive divisors other than 1 and itself
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

6. 8.84 / 5.2
V=side³
an angle that is less than 90°
Add them. i.e. (5^7) * (5^3) = 5^10
1.7

7. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
180°
D=rt so r= d/t and t=d/r
(rate)(time) d=rt

8. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
12.5%
Subtract them. i.e (5^7)/(5^3)= 5^4
441000 = 1 10 10 10 21 * 21

9. Which is greater? 27^(-4) or 9^(-8)
P=2(l+w)
Every number
27^(-4)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

10. In a rectangle - all angles are
Right
1 & 37/132
A = length x width
26

11. How to recognize a # as a multiple of 3
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)
6
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A=½bh

12. Probability of an Event
62.5%
(a - b)(a + b)
x²-2xy+y²
P(E) = number of favorable outcomes/total number of possible outcomes

13. 50 < all primes< 60
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
53 - 59
Null
(2x7)³

14. What is the graph of f(x) shifted right c units or spaces?
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)
F(x-c)
6 : 1 : 2
Even

15. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
71 - 73 - 79
2
2.592 kg

16. What is the set of elements found in both A and B?
The interesection of A and B.
3
= (actual decrease/Original amount) x 100%
A percent is a fraction whose denominator is 100.

17. 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?
Ø
An is positive
500
Even

18. How to recognize a # as a multiple of 9
Null
3/2 - 5/3
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)
The sum of the digits is a multiple of 9.

19. 30 60 90
Parallelogram
Undefined - because we can'T divide by 0.
Pi(diameter)
5 - 12 - 13

20. What is the graph of f(x) shifted upward c units or spaces?
A subset.
F(x) + c
The point of intersection of the systems.
The set of output values for a function.

21. Pi is a ratio of what to what?

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22. Probability of E not occurring:
(a + b)^2
Parallelogram
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1 - P(E)

23. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
90pi
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)
360°

24. (a^-1)/a^5
A central angle is an angle formed by 2 radii.
1/a^6
0
An arc is a portion of a circumference of a circle.

25. What are 'Supplementary angles?'
180
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Two angles whose sum is 180.
180°

26. bn
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(n-2) x 180
x - x+1 - x+2
B?b?b (where b is used as a factor n times)

27. Write 10 -843 X 10^7 in scientific notation
Subtract them. i.e (5^7)/(5^3)= 5^4
Even
M
1.0843 X 10^11

28. Legs 6 - 8. Hypotenuse?
C = 2(pi)r
10
Arc length = (n/360) x pi(2r) where n is the number of degrees.
EVEN

29. What is a major arc?

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30. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
(p + q)/5
87.5%
The union of A and B.
2.592 kg

31. 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)?
y = (x + 5)/2
Null
4a^2(b)
31 - 37

32. a^2 - b^2
48
72
4096
(a - b)(a + b)

33. How to determine percent decrease?
The direction of the inequality is reversed.
(amount of decrease/original price) x 100%
Sector area = (n/360) X (pi)r^2
The set of output values for a function.

34. a>b then a - b is positive or negative?
A-b is positive
(base*height) / 2
360°
Subtract them. i.e (5^7)/(5^3)= 5^4

35. Formula to find a circle'S circumference from its diameter?
A set with no members - denoted by a circle with a diagonal through it.
62.5%
All numbers multiples of 1.
C = (pi)d

36. 4.809 X 10^7 =
.0004809 X 10^11
Negative
28. n = 8 - k = 2. n! / k!(n-k)!
Negative

37. (x-y)(x+y)
x²-y²
M= (Y1-Y2)/(X1-X2)
441000 = 1 10 10 10 21 * 21
N! / (n-k)!

38. Volume of a cube
Relationship cannot be determined (what if x is negative?)
Edge³
Positive
V=l×w×h

39. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
(a - b)^2
(x+y)(x+y)
48
F(x-c)

40. Evaluate 3& 2/7 / 1/3
A²+b²=c²
9 & 6/7
A set with no members - denoted by a circle with a diagonal through it.
A-b is positive

41. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
6
F(x) - c
288 (8 9 4)

42. What is a percent?
1/x
Diameter(Pi)
18
A percent is a fraction whose denominator is 100.

43. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3 - 4 - 5
180°
Smallest positive integer
3

44. The percent decrease of a quantity
Indeterminable.
Triangles with same measure and same side lengths.
= (actual decrease/Original amount) x 100%
1

45. What are the real numbers?
F(x) + c
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(distance)/(rate) d/r
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)

46. An Angle that'S 180°
90
360°
23 - 29
Straight Angle

47. Obtuse Angle
Two equal sides and two equal angles.
A set with a number of elements which can be counted.
angle that is greater than 90° but less than 180°
Sum of digits is a multiple of 3 and the last digit is even.

48. a^2 + 2ab + b^2
360°
(a + b)^2
1
A central angle is an angle formed by 2 radii.

49. x^6 / x^3
ODD number
x^(6-3) = x^3
41 - 43 - 47
$11 -448

50. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
3
(b + c)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
A 30-60-90 triangle.