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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. What is an exterior angle?
an angle that is less than 90°
11 - 13 - 17 - 19
27
An angle which is supplementary to an interior angle.

2. 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?
37.5%
No - only like radicals can be added.
An expression with just one term (-6x - 2a^2)
48

3. Circumference of a circle
The interesection of A and B.
Diameter(Pi)
2(pi)r
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

4. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Triangles with same measure and same side lengths.
(pi)r²
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

5. If y is directly proportional to x - what does it equal?
N! / (k!)(n-k)!
70
y/x is a constant
55%

6. Circumference of a Circle
A=(base)(height)
Null
C=2 x pi x r OR pi x D
Even

7. If a product of two numbers is Ø - one number must be
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)
P(E) = 1/1 = 1
360/n
Ø

8. The only number that is equal to its opposite
360°
3
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Ø Ø=Ø

9. 2 is the only
Triangles with same measure and same side lengths.
P=4s (s=side)
Even prime number
Positive

10. An Angle that'S 180°
1
Straight Angle
Right
360°

11. What are the members or elements of a set?
The objects within a set.
Sector area = (n/360) X (pi)r^2
180°
A subset.

12. 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?
180
(rate)(time) d=rt
500
360°

13. Area of a circle
1 - P(E)
61 - 67
2 & 3/7
(pi)r²

14. Ø is a multiple of
4725
Factors are few - multiples are many.
Every number
The point of intersection of the systems.

15. What are the real numbers?
1/a^6
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
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)
3 - 4 - 5

16. What is the graph of f(x) shifted left c units or spaces?
(distance)/(rate) d/r
D=rt so r= d/t and t=d/r
The direction of the inequality is reversed.
F(x + c)

17. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
9 & 6/7
A natural number greater than 1 that has no positive divisors other than 1 and itself
360°

18. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
180°
180 degrees
A 30-60-90 triangle.

19. What are complementary angles?
130pi
Yes - like radicals can be added/subtracted.
Two angles whose sum is 90.
(n-2) x 180

20. What are the rational numbers?
(a + b)^2
Right
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
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.)

21. Slope of any line that goes up from left to right
Positive
13pi / 2
Two angles whose sum is 90.
3

22. 1/2 divided by 3/7 is the same as
Negative
1/2 times 7/3
N! / (k!)(n-k)!
x^(6-3) = x^3

23. Pythagorean theorem
(base*height) / 2
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)
The set of elements which can be found in either A or B.
A²+b²=c²

24. The reciprocal of any non-zero number is
5
1/x
Sum of digits is a multiple of 3 and the last digit is even.
P= 2L + 2w

25. Describe the relationship between the graphs of x^2 and (1/2)x^2
ODD number
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A reflection about the origin.
The second graph is less steep.

26. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
(x+y)(x-y)
A percent is a fraction whose denominator is 100.
The union of A and B.

27. The product of odd number of negative numbers
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
P=2(l+w)
Negative

28. In any polygon - all external angles equal up to
Positive or Negative
28. n = 8 - k = 2. n! / k!(n-k)!
Two equal sides and two equal angles.
360°

29. Reduce: 4.8 : 0.8 : 1.6
87.5%
= (actual decrease/Original amount) x 100%
6 : 1 : 2
1 - P(E)

30. The negative exponent x?n is equivalent to what?
Ab+ac
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
180°
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

31. Area of a triangle
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A= (1/2) b*h
The interesection of A and B.
angle that is greater than 90° but less than 180°

32. Obtuse Angle
angle that is greater than 90° but less than 180°
180°
55%
Ø

33. the measure of a straight angle
180°
A multiple of every integer
31 - 37
(x+y)(x+y)

34. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
P=4s (s=side)
F(x) - c
Cd

35. 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?
Pi is the ratio of a circle'S circumference to its diameter.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
23 - 29
10! / (10-3)! = 720

36. How many multiples does a given number have?
C=2 x pi x r OR pi x D
x²+2xy+y²
Infinite.
A 30-60-90 triangle.

37. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
Negative
A = pi(r^2)
20.5
A = length x width

38. 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?
Positive
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
75:11
Relationship cannot be determined (what if x is negative?)

39. Formula to calculate arc length?
70
Arc length = (n/360) x pi(2r) where n is the number of degrees.
5
A central angle is an angle formed by 2 radii.

40. 1 is an
1/x
Factors are few - multiples are many.
An arc is a portion of a circumference of a circle.
ODD number

41. The Perimeter of a Square
Null
P=4s (s=side)
(a - b)(a + b)
23 - 29

42. 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?
1.7
48
B?b?b (where b is used as a factor n times)
10! / 3!(10-3)! = 120

43. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Add them. i.e. (5^7) * (5^3) = 5^10

44. Find distance when given time and rate
83.333%
(a + b)^2
zero
D=rt so r= d/t and t=d/r

45. What is the name of set with a number of elements which cannot be counted?
The point of intersection of the systems.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
28
An infinite set.

46. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
x(x - y + 1)
(p + q)/5
1.7

47. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
The empty set - denoted by a circle with a diagonal through it.
A reflection about the axis.
N! / (k!)(n-k)!
An isosceles right triangle.

48. Vertical lines
Do not have slopes!
Two angles whose sum is 180.
1
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

49. a/Ø
Null
Ab+ac
11 - 13 - 17 - 19
A-b is positive

50. What are the irrational numbers?

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GRE Math: All In One

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