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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. 25/2³
2²
28. n = 8 - k = 2. n! / k!(n-k)!
(amount of decrease/original price) x 100%
61 - 67

2. Circumference of a circle
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
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
Negative

3. Convert 0.7% to a fraction.
Ab+ac
62.5%
7 / 1000
The set of elements found in both A and B.

4. Rate
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A tangent is a line that only touches one point on the circumference of a circle.
52
D/t (distance)/(time)

5. a>b then a - b is positive or negative?
A-b is positive
Positive or Negative
180
D=rt so r= d/t and t=d/r

6. The important properties of a 45-45-90 triangle?
48
The set of elements found in both A and B.
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.
x²-y²

7. Probability of E not occurring:
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
130pi
1 - P(E)

8. How to find the circumference of a circle which circumscribes a square?
Ab+ac
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
P(E) = ø

9. What number between 70 & 75 - inclusive - has the greatest number of factors?
A grouping of the members within a set based on a shared characteristic.
The sum of digits is divisible by 9.
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.
72

10. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
A multiple of every integer
(x+y)(x-y)
(base*height) / 2

11. Pythagorean theorem
Infinite.
1 & 37/132
M
A²+b²=c²

12. Evaluate (4^3)^2
26
Do not have slopes!
Right
4096

13. What are congruent triangles?
Triangles with same measure and same side lengths.
Factors are few - multiples are many.
y2-y1/x2-x1
8

14. To increase a number by x%
Every number
Members or elements
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
An isosceles right triangle.

15. x^2 = 9. What is the value of x?
The shortest arc between points A and B on a circle'S diameter.
F(x + c)
20.5
3 - -3

16. 30 60 90
x - x(SR3) - 2x
9 : 25
1.0843 X 10^11
A= (1/2) b*h

17. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
Every number
67 - 71 - 73
Undefined

18. Factor a^2 + 2ab + b^2
(a + b)^2
Edge³
20.5
1/x

19. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
Lies opposite the greater angle
Cd
(amount of decrease/original price) x 100%

20. 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?
The set of elements which can be found in either A or B.
10! / (10-3)! = 720
Every number
(a - b)(a + b)

21. Area of a circle
31 - 37
x²-2xy+y²
A=pi*(r^2)
26

22. 10<all primes<20
Ab=k (k is a constant)
11 - 13 - 17 - 19
An isosceles right triangle.
0

23. What is a finite set?
5 - 12 - 13
Members or elements
A set with a number of elements which can be counted.
180°

24. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
A<-b
True
12! / 5!7! = 792
2(pi)r

25. If the two sides of a triangle are unequal then the longer side.................
3
P= 2L + 2w
(a - b)(a + b)
Lies opposite the greater angle

26. What is the empty set?
x^(6-3) = x^3
A set with a number of elements which can be counted.
Subtract them. i.e (5^7)/(5^3)= 5^4
A set with no members - denoted by a circle with a diagonal through it.

27. (x-y)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)
1
The steeper the slope.
x²-2xy+y²

28. What is a percent?
A-b is negative
A percent is a fraction whose denominator is 100.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
B?b?b (where b is used as a factor n times)

29. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
28
1
A 30-60-90 triangle.
N! / (k!)(n-k)!

30. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
y = 2x^2 - 3
A percent is a fraction whose denominator is 100.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Ab-ac

31. What are the roots of the quadrinomial x^2 + 2x + 1?
A grouping of the members within a set based on a shared characteristic.
2²
A percent is a fraction whose denominator is 100.
The two xes after factoring.

32. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Ab=k (k is a constant)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Ø
1/x

33. Ø is
4a^2(b)
5 - 12 - 13
A multiple of every integer
Pi(diameter)

34. Ø²
Sector area = (n/360) X (pi)r^2
Undefined - because we can'T divide by 0.
Ø
(n-2) x 180

35. If Event is impossible
2 & 3/7
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
P(E) = ø
x^(4+7) = x^11

36. Slope of any line that goes up from left to right
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
90pi
Be Zero!
Positive

37. 60 < all primes <70
A central angle is an angle formed by 2 radii.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The set of input values for a function.
61 - 67

38. Which is greater? 27^(-4) or 9^(-8)
x^(4+7) = x^11
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)
27^(-4)
67 - 71 - 73

39. Write 10 -843 X 10^7 in scientific notation
M
A 30-60-90 triangle.
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)
1.0843 X 10^11

40. Any Horizontal line slope
9 & 6/7
72
71 - 73 - 79
zero

41. 30 60 90
5 - 12 - 13
B?b?b (where b is used as a factor n times)
27
(a + b)^2

42. Area of a circle
(pi)r²
The sum of its digits is divisible by 3.
3 - 4 - 5
The greatest value minus the smallest.

43. 10^6 has how many zeroes?
A reflection about the axis.
6
10! / (10-3)! = 720
23 - 29

44. binomial product of (x+y)²
360°
3 - -3
zero
(x+y)(x+y)

45. How many sides does a hexagon have?
The set of elements which can be found in either A or B.
B?b?b (where b is used as a factor n times)
6
A<-b

46. -3³
27
An is positive
Ab=k (k is a constant)
P=2(l+w)

47. What are the smallest three prime numbers greater than 65?
Ø
A percent is a fraction whose denominator is 100.
67 - 71 - 73
2sqrt6

48. Probability of an Event
P(E) = number of favorable outcomes/total number of possible outcomes
500
55%
27^(-4)

49. A number is divisible by 9 if...
B?b?b (where b is used as a factor n times)
3
The sum of digits is divisible by 9.
D=rt so r= d/t and t=d/r

50. Distance
55%
(rate)(time) d=rt
x²-y²
Positive or Negative

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GRE Math: All In One

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