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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.
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 an arc of a circle?
An arc is a portion of a circumference of a circle.
D/t (distance)/(time)
37.5%
61 - 67

2. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
x(x - y + 1)
A+c<b+c
A reflection about the origin.

3. Define an 'expression'.
The overlapping sections.
An expression with just one term (-6x - 2a^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)
C = 2(pi)r

4. Area of a triangle
67 - 71 - 73
A= (1/2) b*h
52
Sector area = (n/360) X (pi)r^2

5. What is a minor arc?

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6. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
A=(base)(height)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x²+2xy+y²

7. a(b+c)
A-b is negative
The sum of its digits is divisible by 3.
(p + q)/5
Ab+ac

8. -3³
27
1
Pi(diameter)
.0004809 X 10^11

9. 40 < all primes<50
52
41 - 43 - 47
500
The sum of its digits is divisible by 3.

10. 7 divided by Ø
P= 2L + 2w
28
Ø
Null

11. The reciprocal of any non-zero number is
F(x-c)
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.
1/x
y2-y1/x2-x1

12. 10^6 has how many zeroes?
Ø
6
D=rt so r= d/t and t=d/r
Ab+ac

13. 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)?
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.)
y = (x + 5)/2
Undefined
Indeterminable.

14. Rate
D/t (distance)/(time)
C=2 x pi x r OR pi x D
180°
10! / (10-3)! = 720

15. What is a major arc?

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16. What is the 'domain' of a function?
The set of input values for a function.
All numbers multiples of 1.
An angle which is supplementary to an interior angle.
Yes - like radicals can be added/subtracted.

17. Ø is a multiple of
Its last two digits are divisible by 4.
The greatest value minus the smallest.
8
Two (Ø×2=Ø)

18. 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
(amount of decrease/original price) x 100%
180
(b + c)
6

19. 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...
Undefined
5 OR -5
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.

20. a(b-c)
Positive or Negative
Ab-ac
3/2 - 5/3
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

21. Ø Is
(base*height) / 2
360°
EVEN
V=side³

22. X is the opposite of
X
37.5%
A reflection about the origin.
A tangent is a line that only touches one point on the circumference of a circle.

23. Area of a circle
A = length x width
(pi)r²
Be Zero!
A chord is a line segment joining two points on a circle.

24. 1n
180°
360°
(a + b)^2
1

25. First 10 prime #s
Relationship cannot be determined (what if x is negative?)
x²-y²
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Positive or Negative

26. (x+y)²
7 / 1000
Ø
x²+2xy+y²
The overlapping sections.

27. What is a finite set?
A-b is negative
M= (Y1-Y2)/(X1-X2)
A set with a number of elements which can be counted.
True

28. Dividing by a number is the same as multiplying it by its
Reciprocal
52
$3 -500 in the 9% and $2 -500 in the 7%.
The union of A and B.

29. 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?
Parallelogram
75:11
3
10! / 3!(10-3)! = 120

30. 50 < all primes< 60
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4:5
53 - 59
1/x

31. Ø is a multiple of
EVEN
The set of elements found in both A and B.
Every number
y/x is a constant

32. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
62.5%
P=2(l+w)
P= 2L + 2w

33. What is the 'Solution' for a system of linear equations?
Negative
The point of intersection of the systems.
A 30-60-90 triangle.
90°

34. When does a function automatically have a restricted domain (2)?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Negative
Do not have slopes!

35. 70 < all primes< 80
37.5%
(pi)r²
M
71 - 73 - 79

36. Define a 'monomial'
3 - 4 - 5
Two angles whose sum is 180.
An expression with just one term (-6x - 2a^2)
360°

37. 25^(1/2) or sqrt. 25 =
A=½bh
13
5 OR -5
The greatest value minus the smallest.

38. What is the surface area of a cylinder with radius 5 and height 8?
130pi
12.5%
A grouping of the members within a set based on a shared characteristic.
Negative

39. x^2 = 9. What is the value of x?
3 - -3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
.0004809 X 10^11
B?b?b (where b is used as a factor n times)

40. Can you simplify sqrt72?
2(pi)r
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x²-y²
20.5

41. What are 'Supplementary angles?'
Two angles whose sum is 180.
48
3 - 4 - 5
x^(4+7) = x^11

42. What is a central angle?
M= (Y1-Y2)/(X1-X2)
All numbers multiples of 1.
A central angle is an angle formed by 2 radii.
The greatest value minus the smallest.

43. 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?
48
Two equal sides and two equal angles.
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.
Sector area = (n/360) X (pi)r^2

44. formula for the volume of a cube
A+c<b+c
x^(2(4)) =x^8 = (x^4)^2
V=side³
1

45. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
x - x+1 - x+2
A=½bh
M= (Y1-Y2)/(X1-X2)

46. Reduce: 4.8 : 0.8 : 1.6
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)
A tangent is a line that only touches one point on the circumference of a circle.
Yes - like radicals can be added/subtracted.
6 : 1 : 2

47. What are the members or elements of a set?
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.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
C=2 x pi x r OR pi x D
The objects within a set.

48. 3/8 in percent?
C = 2(pi)r
37.5%
x²+2xy+y²
9 : 25

49. binomial product of (x+y)(x-y)
16.6666%
x²-y²
The sum of digits is divisible by 9.
V=side³

50. 7/8 in percent?
(a - b)(a + b)
87.5%
1
zero

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GRE Math: All In One

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