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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. The product of odd number of negative numbers
an angle that is less than 90°
A grouping of the members within a set based on a shared characteristic.
180°
Negative

2. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
360°
(pi)r²
The set of output values for a function.
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.

3. In a Regular Polygon - the measure of each exterior angle
1 & 37/132
360/n
2 & 3/7
Two angles whose sum is 180.

4. 30 60 90
Null
5 - 12 - 13
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
= (actual decrease/Original amount) x 100%

5. 2³×7³
Undefined - because we can'T divide by 0.
A= (1/2) b*h
Its divisible by 2 and by 3.
(2x7)³

6. What is a finite set?
1
A set with a number of elements which can be counted.
P(E) = 1/1 = 1
Every number

7. 70 < all primes< 80
71 - 73 - 79
The interesection of A and B.
A 30-60-90 triangle.
2.592 kg

8. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Pi is the ratio of a circle'S circumference to its diameter.
A = length x width

9. Distance
Ø
(rate)(time) d=rt
37.5%
12.5%

10. the measure of a straight angle
53 - 59
180°
10! / (10-3)! = 720
P=4s (s=side)

11. binomial product of (x+y)²
1/a^6
12! / 5!7! = 792
Even
(x+y)(x+y)

12. What is the 'Range' of a function?
5 - 12 - 13
The set of output values for a function.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
1 & 37/132

13. x^4 + x^7 =
5 - 12 - 13
Null
D/t (distance)/(time)
x^(4+7) = x^11

14. 10<all primes<20
The point of intersection of the systems.
(amount of decrease/original price) x 100%
11 - 13 - 17 - 19
Ab=k (k is a constant)

15. How to recognize if a # is a multiple of 12
6
90
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
P(E) = ø

16. What does scientific notation mean?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
No - only like radicals can be added.
= (actual decrease/Original amount) x 100%

17. Simplify the expression [(b^2 - c^2) / (b - c)]
5 OR -5
Pi(diameter)
(b + c)
C = 2(pi)r

18. formula for distance problems
y = (x + 5)/2
Distance=rate×time or d=rt
The sum of its digits is divisible by 3.
130pi

19. Volume of a rectangular box
V=Lwh
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(pi)r
A=pi*(r^2)

20. b¹
ODD number
1
5 OR -5
(b + c)

21. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
A=(base)(height)
10! / (10-3)! = 720
Sum of digits is a multiple of 3 and the last digit is even.
8

22. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Can be negative - zero - or positive
6 : 1 : 2
90°
13pi / 2

23. 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
1:1:sqrt2
180
Null
Can be negative - zero - or positive

24. What is the slope of a horizontal line?
1/x
A tangent is a line that only touches one point on the circumference of a circle.
Two equal sides and two equal angles.
0

25. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A+c<b+c
10! / 3!(10-3)! = 120
Members or elements

26. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
360°
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
13
2 & 3/7

27. To decrease a number by x%
2²
Triangles with same measure and same side lengths.
Negative
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

28. 10^6 has how many zeroes?
6
4:5
27
1

29. 1 is a divisor of
P=4s (s=side)
Every number
13
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

30. binomial product of (x+y)(x-y)
x²-y²
x^(4+7) = x^11
A set with a number of elements which can be counted.
18

31. When multiplying exponential #s with the same base - you do this to the exponents...
The second graph is less steep.
Add them. i.e. (5^7) * (5^3) = 5^10
62.5%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

32. How to recognize a # as a multiple of 3
A set with a number of elements which can be counted.
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)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
288 (8 9 4)

33. 6w^2 - w - 15 = 0
(x+y)(x-y)
3/2 - 5/3
Right
The sum of digits is divisible by 9.

34. What is the order of operations?
V=l×w×h
1:sqrt3:2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Factors are few - multiples are many.

35. (2²)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)
26
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
8

36. 3 is the opposite of
3
1.7
441000 = 1 10 10 10 21 * 21
A+c<b+c

37. 2 is the only
= (actual decrease/Original amount) x 100%
13
zero
Even prime number

38. What is the set of elements found in both A and B?
The point of intersection of the systems.
1.7
The interesection of A and B.
y/x is a constant

39. Probability of an Event
28
20.5
A set with no members - denoted by a circle with a diagonal through it.
P(E) = number of favorable outcomes/total number of possible outcomes

40. Slope given 2 points
Even prime number
... the square of the ratios of the corresponding sides.
48
M= (Y1-Y2)/(X1-X2)

41. 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?
130pi
2.592 kg
NOT A PRIME
Subtract them. i.e (5^7)/(5^3)= 5^4

42. What are complementary angles?
Two angles whose sum is 90.
x^(6-3) = x^3
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
A=pi*(r^2)

43. X is the opposite of
Negative
90°
X
Even

44. Positive integers that have exactly 2 positive divisors are
180°
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The shortest arc between points A and B on a circle'S diameter.
6

45. (x-y)²
x²-2xy+y²
6
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
20.5

46. Consecutive integers
C=2 x pi x r OR pi x D
Negative
52
x - x+1 - x+2

47. The larger the absolute value of the slope...
The steeper the slope.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
= (actual decrease/Original amount) x 100%
5

48. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
(a + b)^2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
1
N! / (n-k)!

49. What are the integers?
An angle which is supplementary to an interior angle.
All numbers multiples of 1.
10! / (10-3)! = 720
(length)(width)(height)

50. Area of a triangle?
Lies opposite the greater angle
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(base*height) / 2
P(E) = 1/1 = 1

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GRE Math: All In One

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