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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. What is the measure of an exterior angle of a regular pentagon?
72
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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)

2. If the two sides of a triangle are unequal then the longer side.................
A=(base)(height)
Lies opposite the greater angle
8
A 30-60-90 triangle.

3. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
= (actual decrease/Original amount) x 100%
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

4. In any polygon - all external angles equal up to
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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)
360°

5. What is the ratio of the sides of a 30-60-90 triangle?
x - x+1 - x+2
1:sqrt3:2
an angle that is less than 90°
(base*height) / 2

6. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
(rate)(time) d=rt
Sum of digits is a multiple of 3 and the last digit is even.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

7. What is an exterior angle?
A=(base)(height)
An angle which is supplementary to an interior angle.
Two (Ø×2=Ø)
(n-2) x 180

8. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
180
Factors are few - multiples are many.

9. Probability of E not occurring:
1 - P(E)
The sum of the digits is a multiple of 9.
130pi
3/2 - 5/3

10. 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?
A percent is a fraction whose denominator is 100.
Right
N! / (n-k)!
The direction of the inequality is reversed.

11. How many sides does a hexagon have?
y/x is a constant
A tangent is a line that only touches one point on the circumference of a circle.
2
6

12. 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?
2^9 / 2 = 256
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
441000 = 1 10 10 10 21 * 21
1/x

13. 1/6 in percent?
90pi
3
16.6666%
28

14. Can you subtract 3sqrt4 from sqrt4?
4096
Yes - like radicals can be added/subtracted.
1:sqrt3:2
No - only like radicals can be added.

15. formula for distance problems
A reflection about the axis.
An infinite set.
Ø
Distance=rate×time or d=rt

16. a^0 =
An infinite set.
NOT A PRIME
288 (8 9 4)
1

17. What is the 'domain' of a function?
3x - 4x - 5x
1
The set of input values for a function.
The shortest arc between points A and B on a circle'S diameter.

18. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
1
F(x-c)
31 - 37
75:11

19. The Perimeter of a Square
P=4s (s=side)
(2x7)³
(x+y)(x-y)
The steeper the slope.

20. What is the set of elements which can be found in either A or B?
70
The union of A and B.
Sum of digits is a multiple of 3 and the last digit is even.
x^(4+7) = x^11

21. For any number x
Can be negative - zero - or positive
67 - 71 - 73
P(E) = ø
(rate)(time) d=rt

22. What is a subset?
x^(4+7) = x^11
NOT A PRIME
The longest arc between points A and B on a circle'S diameter.
A grouping of the members within a set based on a shared characteristic.

23. 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?
1/x
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
2.592 kg
1

24. binomial product of (x+y)²
(x+y)(x+y)
x²-y²
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
83.333%

25. The consecutive angles in a parallelogram equal
4096
27^(-4)
1
180°

26. The Denominator can never
62.5%
A set with a number of elements which can be counted.
Be Zero!
90

27. x^4 + x^7 =
A+c<b+c
x^(4+7) = x^11
Even
Be Zero!

28. 4.809 X 10^7 =
500
Null
C=2 x pi x r OR pi x D
.0004809 X 10^11

29. the slope of a line in y=mx+b
The sum of the digits is a multiple of 9.
2²
288 (8 9 4)
M

30. 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?
5 - 12 - 13
500
A set with no members - denoted by a circle with a diagonal through it.
Cd

31. 3/8 in percent?
71 - 73 - 79
A reflection about the axis.
90pi
37.5%

32. 1/2 divided by 3/7 is the same as
D/t (distance)/(time)
1/2 times 7/3
The set of output values for a function.
1

33. the measure of a straight angle
5 OR -5
180°
Positive
C = 2(pi)r

34. If a is positive - an is
Positive
Cd
0
1

35. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
V=l×w×h
67 - 71 - 73
2sqrt6
A<-b

36. 5x^2 - 35x -55 = 0
P(E) = ø
Yes - like radicals can be added/subtracted.
Do not have slopes!
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

37. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
A subset.
C = 2(pi)r
The set of elements which can be found in either A or B.

38. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
180
72
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)
360°

39. -3³
A percent is a fraction whose denominator is 100.
61 - 67
0
27

40. 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?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
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
1/x
Be Zero!

41. To multiply a number by 10^x
Ø
The set of elements which can be found in either A or B.
Do not have slopes!
Move the decimal point to the right x places

42. What is a major arc?

43. Important properties of a 30-60-90 triangle?
x²+2xy+y²
(a + b)^2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
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

44. a^2 - b^2 =
(a - b)(a + b)
Ø
4:5
x^(4+7) = x^11

45. The only number that is equal to its opposite
The direction of the inequality is reversed.
(length)(width)(height)
ODD number
Ø Ø=Ø

46. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Ø
2
A=pi*(r^2)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

47. formula for volume of a rectangular solid
V=l×w×h
0
Subtract them. i.e (5^7)/(5^3)= 5^4
3

48. formula for the volume of a cube
Factors are few - multiples are many.
2(pi)r
10
V=side³

49. The objects in a set are called two names:
Members or elements
2²
A set with no members - denoted by a circle with a diagonal through it.
Even prime number

50. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Members or elements
C = 2(pi)r
M= (Y1-Y2)/(X1-X2)