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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. Reduce: 4.8 : 0.8 : 1.6
The two xes after factoring.
6 : 1 : 2
An is positive
83.333%

2. What is the graph of f(x) shifted upward c units or spaces?
1
Cd
F(x) + c
Two equal sides and two equal angles.

3. (12sqrt15) / (2sqrt5) =
(a + b)^2
Cd
P(E) = ø
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

4. 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
(distance)/(rate) d/r
180°
0

5. Rate
2(pi)r
2sqrt6
A= (1/2) b*h
D/t (distance)/(time)

6. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
26
5 - 12 - 13
Be Zero!

7. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Positive
4a^2(b)
4725
The longest arc between points A and B on a circle'S diameter.

8. Slope
y2-y1/x2-x1
The set of input values for a function.
41 - 43 - 47
1

9. formula for area of a triangle
A=½bh
M= (Y1-Y2)/(X1-X2)
x²-y²
(a - b)^2

10. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A grouping of the members within a set based on a shared characteristic.
28. n = 8 - k = 2. n! / k!(n-k)!
9 : 25

11. If a<b - then
F(x + c)
The set of output values for a function.
(x+y)(x-y)
A+c<b+c

12. What is a finite set?
Positive or Negative
A set with a number of elements which can be counted.
67 - 71 - 73
A²+b²=c²

13. Product of any number and Ø is
Ø
ODD number
An expression with just one term (-6x - 2a^2)
Negative

14. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
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
x^(2(4)) =x^8 = (x^4)^2
Cd
4:5

15. What is the intersection of A and B?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The set of elements found in both A and B.
A=½bh
EVEN

16. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
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.)
The set of output values for a function.
ODD number

17. Evaluate 3& 2/7 / 1/3
9 & 6/7
Smallest positive integer
The second graph is less steep.
4:5

18. 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.
x^(6-3) = x^3
P(E) = 1/1 = 1
Its divisible by 2 and by 3.

19. 5/8 in percent?
62.5%
A set with a number of elements which can be counted.
y = 2x^2 - 3
x^(4+7) = x^11

20. Can you subtract 3sqrt4 from sqrt4?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
= (actual decrease/Original amount) x 100%
The union of A and B.
Yes - like radicals can be added/subtracted.

21. How many sides does a hexagon have?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
The sum of the digits is a multiple of 9.
6
Positive

22. 7 divided by Ø
Two (Ø×2=Ø)
Null
A= (1/2) b*h
180

23. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
5
Smallest positive integer
(a - b)(a + b)

24. binomial product of (x+y)²
(x+y)(x+y)
Sum of digits is a multiple of 3 and the last digit is even.
48
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...

25. 25+2³
(rate)(time) d=rt
(n-2) x 180
28
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.

26. What is a chord of a circle?
Parallelogram
A chord is a line segment joining two points on a circle.
Subtract them. i.e (5^7)/(5^3)= 5^4
NOT A PRIME

27. How to find the circumference of a circle which circumscribes a square?
Positive
Even
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
90

28. Distance
Infinite.
= (actual decrease/Original amount) x 100%
Two (Ø×2=Ø)
(rate)(time) d=rt

29. 30 60 90
3 - 4 - 5
A²+b²=c²
1.0843 X 10^11
7 / 1000

30. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
P=2(l+w)
Ø
Even

31. formula for distance problems
Distance=rate×time or d=rt
12! / 5!7! = 792
V=side³
B?b?b (where b is used as a factor n times)

32. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
ODD number
The sum of the digits is a multiple of 9.
The set of elements found in both A and B.

33. What is a minor arc?

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34. The product of odd number of negative numbers
Negative
A²+b²=c²
(pi)r²
F(x) - c

35. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
5 OR -5
26
13pi / 2
Can be negative - zero - or positive

36. Circumference of a circle
A= (1/2) b*h
53 - 59
2(pi)r
zero

37. b¹
The overlapping sections.
C = 2(pi)r
1
y/x is a constant

38. Factor a^2 + 2ab + b^2
(a + b)^2
1:1:sqrt2
The overlapping sections.
Relationship cannot be determined (what if x is negative?)

39. What is the slope of a vertical line?

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40. The only number that is equal to its opposite
Triangles with same measure and same side lengths.
Ø Ø=Ø
83.333%
A 30-60-90 triangle.

41. Ø is a multiple of
x - x+1 - x+2
Positive
Every number
9 & 6/7

42. the measure of a straight angle
A grouping of the members within a set based on a shared characteristic.
180°
3 - 4 - 5
Yes - like radicals can be added/subtracted.

43. If Event is impossible
A-b is positive
62.5%
P(E) = ø
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)

44. What is the sum of the angles of a triangle?
Do not have slopes!
x - x(SR3) - 2x
Sum of digits is a multiple of 3 and the last digit is even.
180 degrees

45. What are complementary angles?
NOT A PRIME
An expression with just one term (-6x - 2a^2)
N! / (k!)(n-k)!
Two angles whose sum is 90.

46. 30 60 90
28. n = 8 - k = 2. n! / k!(n-k)!
5 - 12 - 13
Add them. i.e. (5^7) * (5^3) = 5^10
A+c<b+c

47. Vertical lines
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(length)(width)(height)
Do not have slopes!
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)

48. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
The greatest value minus the smallest.
A²+b²=c²
Yes - like radicals can be added/subtracted.

49. 1 is a divisor of
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)
x^(4+7) = x^11
Every number
23 - 29

50. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
A= (1/2) b*h
2^9 / 2 = 256
Even
Add them. i.e. (5^7) * (5^3) = 5^10

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GRE Math: All In One

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