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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. First 10 prime #s
x²-2xy+y²
Factors are few - multiples are many.
(2x7)³
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

2. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Triangles with same measure and same side lengths.
Straight Angle
Do not have slopes!

3. What is the set of elements which can be found in either A or B?
P(E) = ø
360/n
A set with no members - denoted by a circle with a diagonal through it.
The union of A and B.

4. a^2 - 2ab + b^2
The longest arc between points A and B on a circle'S diameter.
The direction of the inequality is reversed.
(a - b)^2
The shortest arc between points A and B on a circle'S diameter.

5. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
y = (x + 5)/2
61 - 67
Sector area = (n/360) X (pi)r^2

6. Whats the difference between factors and multiples?
Factors are few - multiples are many.
A 30-60-90 triangle.
Two angles whose sum is 180.
Pi(diameter)

7. Ø Is
An isosceles right triangle.
Ab-ac
EVEN
A subset.

8. Number of degrees in a triangle
A-b is positive
180
Every number
75:11

9. Ø Is neither
x²-y²
Smallest positive integer
Positive or Negative
A reflection about the origin.

10. If a is positive - an is
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)
zero
Positive
C = (pi)d

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)
A grouping of the members within a set based on a shared characteristic.
The union of A and B.
Ø

12. What is the name for a grouping of the members within a set based on a shared characteristic?
A subset.
Its last two digits are divisible by 4.
Negative
53 - 59

13. Positive integers that have exactly 2 positive divisors are
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
70
1
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

14. Ø is
Even
71 - 73 - 79
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

15. Pi is a ratio of what to what?

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16. One is (a prime or not?)
72
Factors are few - multiples are many.
P(E) = 1/1 = 1
NOT A PRIME

17. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
= (actual decrease/Original amount) x 100%
P= 2L + 2w
13
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

18. P and r are factors of 100. What is greater - pr or 100?
C = 2(pi)r
Pi is the ratio of a circle'S circumference to its diameter.
55%
Indeterminable.

19. To increase a number by x%
360/n
Every number
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
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...

20. A number is divisible by 4 is...
Its last two digits are divisible by 4.
x²-y²
500
(amount of decrease/original price) x 100%

21. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
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)
1
(a - b)^2

22. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
9 & 6/7
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
An arc is a portion of a circumference of a circle.
8

23. Write 10 -843 X 10^7 in scientific notation
y/x is a constant
90°
1.0843 X 10^11
Its last two digits are divisible by 4.

24. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
No - only like radicals can be added.
13pi / 2
2sqrt6
The sum of digits is divisible by 9.

25. binomial product of (x-y)²
(x+y)(x-y)
6
360°
2

26. 1 is a divisor of
Sum of digits is a multiple of 3 and the last digit is even.
Every number
x²+2xy+y²
9

27. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
Ø
Ø
Ø

28. How to determine percent decrease?
(amount of decrease/original price) x 100%
x^(4+7) = x^11
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Triangles with same measure and same side lengths.

29. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
x^(4+7) = x^11
X
A reflection about the axis.
y = 2x^2 - 3

30. (x^2)^4
1
x^(2(4)) =x^8 = (x^4)^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1 & 37/132

31. What is the 'union' of A and B?
9 : 25
2sqrt6
90pi
The set of elements which can be found in either A or B.

32. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
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
8
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

33. Ø divided by 7
Ø
y = (x + 5)/2
C=2 x pi x r OR pi x D
83.333%

34. To multiply a number by 10^x
Even
Be Zero!
P(E) = 1/1 = 1
Move the decimal point to the right x places

35. What is the measure of an exterior angle of a regular pentagon?
4:5
1
2²
72

36. The Perimeter of a Square
P=4s (s=side)
130pi
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
A=pi*(r^2)

37. 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...
Move the decimal point to the right x places
Subtract them. i.e (5^7)/(5^3)= 5^4
6

38. Evaluate 4/11 + 11/12
The sum of digits is divisible by 9.
V=Lwh
1 & 37/132
A = pi(r^2)

39. In a Regular Polygon - the measure of each exterior angle
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A reflection about the axis.
(amount of decrease/original price) x 100%
360/n

40. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
20.5
A-b is positive
A reflection about the axis.

41. In a rectangle - all angles are
Negative
F(x) - c
Right
2.592 kg

42. 3 is the opposite of
(base*height) / 2
F(x) + c
3
2 & 3/7

43. (12sqrt15) / (2sqrt5) =
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
55%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

44. Simplify 9^(1/2) X 4^3 X 2^(-6)?
72
3
23 - 29
1:sqrt3:2

45. Rate
D=rt so r= d/t and t=d/r
71 - 73 - 79
12! / 5!7! = 792
D/t (distance)/(time)

46. factored binomial product of (x-y)²
The longest arc between points A and B on a circle'S diameter.
x²-2xy+y²
Ø Ø=Ø
41 - 43 - 47

47. Evaluate 3& 2/7 / 1/3
(rate)(time) d=rt
9 & 6/7
(x+y)(x+y)
3 - -3

48. What are the roots of the quadrinomial x^2 + 2x + 1?
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
The longest arc between points A and B on a circle'S diameter.
3 - 4 - 5
The two xes after factoring.

49. Volume of a rectangular solid
P(E) = number of favorable outcomes/total number of possible outcomes
(length)(width)(height)
360°
A²+b²=c²

50. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
5 - 12 - 13
6 : 1 : 2
A = pi(r^2)