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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. 40 < all primes<50
41 - 43 - 47
Distance=rate×time or d=rt
9
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

2. Formula for the area of a circle?
A = pi(r^2)
Sector area = (n/360) X (pi)r^2
A set with no members - denoted by a circle with a diagonal through it.
3

3. An Angle that'S 180°
1
The point of intersection of the systems.
Ø=P(E)=1
Straight Angle

4. formula for distance problems
The sum of its digits is divisible by 3.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
0
Distance=rate×time or d=rt

5. 8.84 / 5.2
10
1.7
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

6. (a^-1)/a^5
1/a^6
x²+2xy+y²
(a - b)^2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

7. 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?
F(x + c)
N! / (n-k)!
9
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...

8. Write 10 -843 X 10^7 in scientific notation
Subtract them. i.e (5^7)/(5^3)= 5^4
Ab-ac
1.0843 X 10^11
180 degrees

9. The product of odd number of negative numbers
The longest arc between points A and B on a circle'S diameter.
P=2(l+w)
180°
Negative

10. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
The second graph is less steep.
13pi / 2
Reciprocal
Yes - like radicals can be added/subtracted.

11. The larger the absolute value of the slope...
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.)
F(x) + c
The steeper the slope.
48

12. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
1.7
$11 -448
(a + b)^2
All numbers multiples of 1.

13. The negative exponent x?n is equivalent to what?
M= (Y1-Y2)/(X1-X2)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
4725
(p + q)/5

14. Volume of a rectangular solid
27
(length)(width)(height)
Pi(diameter)
10

15. Define a 'Term' -
A 30-60-90 triangle.
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
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
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)

16. The sum of the angles in a quadrilateral is
71 - 73 - 79
360°
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
.0004809 X 10^11

17. What is an arc of a circle?
A-b is positive
Yes - like radicals can be added/subtracted.
52
An arc is a portion of a circumference of a circle.

18. a^2 - b^2 =
The two xes after factoring.
Its divisible by 2 and by 3.
Null
(a - b)(a + b)

19. One is (a prime or not?)
x - x(SR3) - 2x
NOT A PRIME
1/x
The set of elements found in both A and B.

20. 3 is the opposite of
3/2 - 5/3
3
x^(6-3) = x^3
360°

21. What is the intersection of A and B?
P(E) = ø
The set of elements found in both A and B.
Ab-ac
A=(base)(height)

22. The product of any number x and its reciprocal
The set of input values for a function.
zero
1
Every number

23. How to determine percent decrease?
360°
(amount of decrease/original price) x 100%
A reflection about the axis.
2sqrt6

24. What is the side length of an equilateral triangle with altitude 6?
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...
(2x7)³
23 - 29
5 OR -5

25. 1n
Ab+ac
1
Subtract them. i.e (5^7)/(5^3)= 5^4
5 - 12 - 13

26. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
3x - 4x - 5x
500
(p + q)/5

27. factored binomial product of (x-y)²
1/x
Yes - like radicals can be added/subtracted.
x²+2xy+y²
x²-2xy+y²

28. What are the real numbers?
The greatest value minus the smallest.
Lies opposite the greater angle
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)
A grouping of the members within a set based on a shared characteristic.

29. 50 < all primes< 60
Pi(diameter)
20.5
53 - 59
An isosceles right triangle.

30. What is the graph of f(x) shifted downward c units or spaces?
Ø Ø=Ø
6
2
F(x) - c

31. Evaluate (4^3)^2
x^(4+7) = x^11
Lies opposite the greater angle
5 OR -5
4096

32. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
A central angle is an angle formed by 2 radii.
A grouping of the members within a set based on a shared characteristic.
x²+2xy+y²

33. 30 60 90
Positive
180
62.5%
x - x(SR3) - 2x

34. 1/2 divided by 3/7 is the same as
Infinite.
11 - 13 - 17 - 19
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1/2 times 7/3

35. a(b+c)
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
F(x + c)
Ab+ac
Add them. i.e. (5^7) * (5^3) = 5^10

36. The percent decrease of a quantity
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.
= (actual decrease/Original amount) x 100%
12sqrt2
Ø

37. Ø is a multiple of
5 - 12 - 13
Every number
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
Two (Ø×2=Ø)

38. 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
.0004809 X 10^11
An isosceles right triangle.
6 : 1 : 2

39. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
62.5%
26
Distance=rate×time or d=rt

40. Consecutive integers
Smallest positive integer
27^(-4)
x - x+1 - x+2
360/n

41. 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?
48
Positive
(rate)(time) d=rt
180

42. Reduce: 4.8 : 0.8 : 1.6
... the square of the ratios of the corresponding sides.
6 : 1 : 2
x - x(SR3) - 2x
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...

43. What is the slope of a horizontal line?
0
Its last two digits are divisible by 4.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

44. Acute Angle
An isosceles right triangle.
180°
y = 2x^2 - 3
an angle that is less than 90°

45. Is 0 even or odd?
3 - -3
Ø
Ø
Even

46. 1/Ø=null If a>b then
y = (x + 5)/2
A<-b
13
3 - -3

47. 5/8 in percent?
62.5%
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)
1.7
3

48. (6sqrt3) x (2sqrt5) =
(a - b)(a + b)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
True
62.5%

49. bn
B?b?b (where b is used as a factor n times)
(2x7)³
(x+y)(x+y)
Yes - like radicals can be added/subtracted.

50. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
The interesection of A and B.
F(x) - c
C = (pi)d