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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. If a<b - then
(a + b)^2
A+c<b+c
1/x
No - only like radicals can be added.

2. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
(pi)r²
The sum of its digits is divisible by 3.
Two angles whose sum is 180.

3. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
72
28
Even prime number

4. Simplify the expression [(b^2 - c^2) / (b - 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.
(b + c)
Cd
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

5. How to find the circumference of a circle which circumscribes a square?
5
8
An expression with just one term (-6x - 2a^2)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

6. binomial product of (x+y)(x-y)
$3 -500 in the 9% and $2 -500 in the 7%.
x²-y²
3 - 4 - 5
360°

7. Legs 5 - 12. Hypotenuse?
13
An is positive
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1.7

8. Formula to find a circle'S circumference from its radius?
$11 -448
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A=(base)(height)
C = 2(pi)r

9. 70 < all primes< 80
A central angle is an angle formed by 2 radii.
20.5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
71 - 73 - 79

10. 1n
1
71 - 73 - 79
1 - P(E)
x^(2(4)) =x^8 = (x^4)^2

11. 3 is the opposite of
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A 30-60-90 triangle.
3
zero

12. What is a minor arc?

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13. Define an 'expression'.
D/t (distance)/(time)
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)
500
31 - 37

14. Any Horizontal line slope
The sum of the digits is a multiple of 9.
zero
A set with no members - denoted by a circle with a diagonal through it.
Two angles whose sum is 180.

15. Volume of a rectangular solid
(length)(width)(height)
Negative
27^(-4)
1

16. Circumference of a circle?
Diameter(Pi)
A subset.
An isosceles right triangle.
N! / (k!)(n-k)!

17. 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 = length x width
Reciprocal
True
83.333%

18. Formula for the area of a circle?
A = pi(r^2)
6
(2x7)³
Sector area = (n/360) X (pi)r^2

19. 0^0
A=(base)(height)
Positive or Negative
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Undefined

20. Volume of a rectangular box
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.)
3/2 - 5/3
Sum of digits is a multiple of 3 and the last digit is even.
V=Lwh

21. (x-y)(x+y)
1:1:sqrt2
1.0843 X 10^11
(base*height) / 2
x²-y²

22. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
1/x
9
1

23. The sum of the measures of the n angles in a polygon with n sides
All numbers multiples of 1.
Undefined - because we can'T divide by 0.
A multiple of every integer
(n-2) x 180

24. 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
180
Lies opposite the greater angle
6 : 1 : 2
A grouping of the members within a set based on a shared characteristic.

25. 10<all primes<20
Negative
11 - 13 - 17 - 19
x²+2xy+y²
The sum of its digits is divisible by 3.

26. 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?
500
2sqrt6
4096
13

27. If the two sides of a triangle are unequal then the longer side.................
y2-y1/x2-x1
Lies opposite the greater angle
Triangles with same measure and same side lengths.
(amount of decrease/original price) x 100%

28. Which is greater? 27^(-4) or 9^(-8)
41 - 43 - 47
The second graph is less steep.
27^(-4)
10

29. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
27^(-4)
P=2(l+w)
A reflection about the origin.

30. Convert 0.7% to a fraction.
(base*height) / 2
7 / 1000
A-b is negative
1.0843 X 10^11

31. Evaluate 4/11 + 11/12
37.5%
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.)
1 & 37/132
0

32. The perimeter of a square is 48 inches. The length of its diagonal is:
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
An arc is a portion of a circumference of a circle.
12sqrt2
= (actual decrease/Original amount) x 100%

33. the slope of a line in y=mx+b
M
5
72
130pi

34. (2²)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
1
441000 = 1 10 10 10 21 * 21
26

35. 1/2 divided by 3/7 is the same as
x²+2xy+y²
13
1/2 times 7/3
A central angle is an angle formed by 2 radii.

36. Simplify the expression (p^2 - q^2)/ -5(q - p)
(x+y)(x+y)
(p + q)/5
The steeper the slope.
A²+b²=c²

37. a/Ø
Add them. i.e. (5^7) * (5^3) = 5^10
V=l×w×h
Null
Move the decimal point to the right x places

38. How many multiples does a given number have?
1
Negative
Infinite.
1/2 times 7/3

39. What is the name for a grouping of the members within a set based on a shared characteristic?
M= (Y1-Y2)/(X1-X2)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
A subset.
90°

40. a(b+c)
Ab+ac
an angle that is less than 90°
180°
The objects within a set.

41. What are the members or elements of a set?
y/x is a constant
1:1:sqrt2
180
The objects within a set.

42. What does scientific notation mean?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
1/x
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
180°

43. 2³×7³
(2x7)³
P(E) = number of favorable outcomes/total number of possible outcomes
F(x-c)
9 & 6/7

44. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Negative
An isosceles right triangle.
1/x
x²-y²

45. What is the 'Range' of a function?
The set of output values for a function.
360°
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...
x^(2(4)) =x^8 = (x^4)^2

46. P and r are factors of 100. What is greater - pr or 100?
The point of intersection of the systems.
Lies opposite the greater angle
Indeterminable.
Two (Ø×2=Ø)

47. How to recognize a # as a multiple of 4
V=l×w×h
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.)
Pi(diameter)
1.0843 X 10^11

48. a<b then a - b is positive or negative?
The sum of the digits is a multiple of 9.
Null
A-b is negative
The objects within a set.

49. (x^2)^4
A-b is positive
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^(2(4)) =x^8 = (x^4)^2
48

50. The larger the absolute value of the slope...
The union of A and B.
(length)(width)(height)
The steeper the slope.
F(x-c)

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GRE Math: All In One

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