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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
48
2 & 3/7
An is positive
41 - 43 - 47

2. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
90
y2-y1/x2-x1
C=2 x pi x r OR pi x D
3

3. The Perimeter of a rectangle
4.25 - 6 - 22
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 overlapping sections.
P=2(l+w)

4. 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?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The empty set - denoted by a circle with a diagonal through it.
10! / (10-3)! = 720
The sum of digits is divisible by 9.

5. What number between 70 & 75 - inclusive - has the greatest number of factors?
A set with a number of elements which can be counted.
10! / (10-3)! = 720
72
8

6. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
x²-2xy+y²
F(x + c)
$3 -500 in the 9% and $2 -500 in the 7%.

7. The sum of the angles in a quadrilateral is
61 - 67
360°
Members or elements
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

8. The reciprocal of any non-zero #x is
1/x
9 : 25
A=(base)(height)
4a^2(b)

9. 25+2³
X
P=2(l+w)
x^(2(4)) =x^8 = (x^4)^2
28

10. 3 is the opposite of
3
Reciprocal
9 & 6/7
The second graph is less steep.

11. The ratio of the areas of two similar polygons is ...
180
... the square of the ratios of the corresponding sides.
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 shortest arc between points A and B on a circle'S diameter.

12. An Angle that'S 180°
A central angle is an angle formed by 2 radii.
.0004809 X 10^11
Straight Angle
V=side³

13. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
5
9 & 6/7
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)
10! / 3!(10-3)! = 120

14. If E is certain
360°
4725
P(E) = 1/1 = 1
A set with a number of elements which can be counted.

15. binomial product of (x-y)²
Factors are few - multiples are many.
The set of input values for a function.
(x+y)(x-y)
0

16. Volume of a rectangular solid
13pi / 2
(length)(width)(height)
12.5%
1/x

17. Write 10 -843 X 10^7 in scientific notation
x²+2xy+y²
Do not have slopes!
1/a^6
1.0843 X 10^11

18. When multiplying exponential #s with the same base - you do this to the exponents...
18
V=Lwh
Add them. i.e. (5^7) * (5^3) = 5^10
61 - 67

19. the measure of a straight angle
Undefined
Two angles whose sum is 180.
180 degrees
180°

20. 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
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
360°
1 & 37/132

21. binomial product of (x+y)²
180 degrees
Two angles whose sum is 90.
(x+y)(x+y)
x^(4+7) = x^11

22. Ø is
Even
180°
Ab-ac
Positive

23. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Two equal sides and two equal angles.
2
A=½bh
Subtract them. i.e (5^7)/(5^3)= 5^4

24. a^2 + 2ab + b^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(a + b)^2
Parallelogram
2 & 3/7

25. How to recognize a multiple of 6
Right
D/t (distance)/(time)
72
Sum of digits is a multiple of 3 and the last digit is even.

26. Slope of any line that goes up from left to right
1/x
N! / (n-k)!
Positive
441000 = 1 10 10 10 21 * 21

27. X is the opposite of
A multiple of every integer
A subset.
X
(a - b)^2

28. The product of odd number of negative numbers
Negative
Ab-ac
Undefined - because we can'T divide by 0.
The empty set - denoted by a circle with a diagonal through it.

29. Which is greater? 27^(-4) or 9^(-8)
1
12! / 5!7! = 792
90°
27^(-4)

30. Area of a triangle?
Ø
Sector area = (n/360) X (pi)r^2
(base*height) / 2
1

31. 70 < all primes< 80
The direction of the inequality is reversed.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
C = (pi)d
71 - 73 - 79

32. What is the surface area of a cylinder with radius 5 and height 8?
70
Its divisible by 2 and by 3.
2.592 kg
130pi

33. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
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.)
180
288 (8 9 4)

34. What percent of 40 is 22?
Every number
8
1:1:sqrt2
55%

35. Is 0 even or odd?
x^(6-3) = x^3
Even
The set of elements which can be found in either A or B.
Infinite.

36. What is the graph of f(x) shifted left c units or spaces?
Its last two digits are divisible by 4.
The second graph is less steep.
A multiple of every integer
F(x + c)

37. Evaluate (4^3)^2
4096
(x+y)(x-y)
70
P=4s (s=side)

38. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
1
Negative
Sum of digits is a multiple of 3 and the last digit is even.
70

39. 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)?
Its last two digits are divisible by 4.
1
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
y = (x + 5)/2

40. What are the smallest three prime numbers greater than 65?
13
67 - 71 - 73
130pi
... the square of the ratios of the corresponding sides.

41. x^4 + x^7 =
x^(4+7) = x^11
Every number
(pi)r²
A subset.

42. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
3
The direction of the inequality is reversed.
2sqrt6

43. What is the 'Range' of a function?
(b + c)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The set of output values for a function.
9

44. Slope given 2 points
M= (Y1-Y2)/(X1-X2)
6
1:sqrt3:2
6 : 1 : 2

45. Legs 5 - 12. Hypotenuse?
500
(x+y)(x+y)
13
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

46. How many 3-digit positive integers are even and do not contain the digit 4?
x^(4+7) = x^11
The second graph is less steep.
Even
288 (8 9 4)

47. 1/Ø=null If a>b then
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
4.25 - 6 - 22
A<-b
31 - 37

48. 30< all primes<40
62.5%
31 - 37
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)
1

49. a<b then a - b is positive or negative?
1:sqrt3:2
Undefined - because we can'T divide by 0.
A-b is negative
180°

50. Formula for the area of a sector of a circle?
A natural number greater than 1 that has no positive divisors other than 1 and itself
Ø=P(E)=1
Sector area = (n/360) X (pi)r^2
A-b is positive