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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. Any Horizontal line slope
55%
Even
zero
C=2 x pi x r OR pi x D

2. Is neither
A natural number greater than 1 that has no positive divisors other than 1 and itself
8
Positive or Negative
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

3. Can you subtract 3sqrt4 from sqrt4?
Infinite.
P= 2L + 2w
Reciprocal
Yes - like radicals can be added/subtracted.

4. formula for the volume of a cube
A=pi*(r^2)
V=side
C = (pi)d
A set with a number of elements which can be counted.

5. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
2
A reflection about the origin.
288 (8 9 4)
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.)

6. What is the 'Range' of a series of numbers?
Lies opposite the greater angle
3x - 4x - 5x
The union of A and B.
The greatest value minus the smallest.

7. Can you simplify sqrt72?
A = pi(r^2)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Pi(diameter)
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.)

8. Formula to calculate arc length?
x+2xy+y
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1.0843 X 10^11
C = 2(pi)r

9. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
1:1:sqrt2
(a - b)(a + b)
No - only like radicals can be added.

10. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
= (actual decrease/Original amount) x 100%
360
A reflection about the axis.
Indeterminable.

11. The product of odd number of negative numbers
Negative
zero
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
ODD number

12. Volume of a cube
The longest arc between points A and B on a circle'S diameter.
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Edge

13. How to recognize if a # is a multiple of 12
The interesection of A and B.
$11 -448
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.)
0

14. A number is divisible by 6 if...
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Every number
Its divisible by 2 and by 3.
288 (8 9 4)

15. What is an arc of a circle?
67 - 71 - 73
An arc is a portion of a circumference of a circle.
A percent is a fraction whose denominator is 100.
Right

16. What is the 'Solution' for a set of inequalities.

72
P=4s (s=side)
The overlapping sections.

17. 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?
1:sqrt3:2
500
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(b + c)

18. The important properties of a 45-45-90 triangle?
5
5 OR -5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
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.

19. (x+y)
A reflection about the origin.
Sector area = (n/360) X (pi)r^2
an angle that is less than 90
x+2xy+y

20. ز
Two equal sides and two equal angles.

12! / 5!7! = 792
87.5%

21. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
A central angle is an angle formed by 2 radii.
0
.0004809 X 10^11

22. The Perimeter of a rectangle
P=2(l+w)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1:sqrt3:2
Straight Angle

23. Can you add sqrt 3 and sqrt 5?
x+2xy+y
No - only like radicals can be added.
1
A<-b

24. What is the name of set with a number of elements which cannot be counted?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
An infinite set.
26
180

25. Is 0 even or odd?
Even
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(b + c)
Sum of digits is a multiple of 3 and the last digit is even.

26. The sum of all angles around a point
Indeterminable.
360
x-2xy+y
The set of elements found in both A and B.

27. (12sqrt15) / (2sqrt5) =
28
3
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Even

28. Area of a circle
Distance=ratetime or d=rt
C=2 x pi x r OR pi x D
... the square of the ratios of the corresponding sides.
(pi)r

29. a(b-c)
Ab-ac
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.)
Its divisible by 2 and by 3.
12.5%

30. 5/8 in percent?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Even prime number
48
62.5%

31. Perimeter of a rectangle
A set with a number of elements which can be counted.
x(x - y + 1)
(amount of decrease/original price) x 100%
P= 2L + 2w

32. 25+2
28
=P(E)=1
20.5
A 30-60-90 triangle.

33. What is an exterior angle?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
9
360
An angle which is supplementary to an interior angle.

34. What is the 'union' of A and B?
Indeterminable.
(amount of decrease/original price) x 100%
The set of elements which can be found in either A or B.
0

35. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
F(x + c)

87.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

36. Perfect Squares 1-15
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...
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
1:1:sqrt2
The set of output values for a function.

37. Define a 'Term' -
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)
6
10! / 3!(10-3)! = 120

38. The consecutive angles in a parallelogram equal
360/n
1.0843 X 10^11
x - x(SR3) - 2x
180

39. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
3 - 4 - 5
Cd
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
37.5%

40. First 10 prime #s
13pi / 2
62.5%
11 - 13 - 17 - 19
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

41. What are the rational numbers?
61 - 67
3 - -3
(x+y)(x+y)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

42. A number is divisible by 4 is...
A-b is positive
Its last two digits are divisible by 4.
A reflection about the origin.
P=4s (s=side)

43. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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)
Factors are few - multiples are many.
An isosceles right triangle.

44. For any number x
Right
Can be negative - zero - or positive
Negative
Be Zero!

45. (x-y)
Members or elements
x-2xy+y
M
1/x

46. What is a chord of a circle?
1
The sum of its digits is divisible by 3.

A chord is a line segment joining two points on a circle.

47. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
A set with no members - denoted by a circle with a diagonal through it.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
52
3

48. What are congruent triangles?
Negative
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Triangles with same measure and same side lengths.
An arc is a portion of a circumference of a circle.

49. To multiply a number by 10^x
The sum of the digits is a multiple of 9.
A-b is negative
Move the decimal point to the right x places
Do not have slopes!

50. 25^(1/2) or sqrt. 25 =
Yes - like radicals can be added/subtracted.
5 OR -5
90
P(E) = 1/1 = 1

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