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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
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 are the rational numbers?
27
V=l×w×h
The set of elements which can be found in either A or B.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

2. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
V=Lwh
2.592 kg
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.

3. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
3
7 / 1000
y/x is a constant

4. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
A set with no members - denoted by a circle with a diagonal through it.
... the square of the ratios of the corresponding sides.
72

5. 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
2sqrt6
180
X
(distance)/(rate) d/r

6. The Perimeter of a rectangle
12.5%
P(E) = 1/1 = 1
The interesection of A and B.
P=2(l+w)

7. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2.4. We calculate the area (6) and then turn the triangle on its side and use x as the height to calculate again. (5x)/2=6
48

8. The reciprocal of any non-zero #x is
The overlapping sections.
Subtract them. i.e (5^7)/(5^3)= 5^4
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1/x

9. 1/Ø=null If a>b then
Ø
72
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
A<-b

10. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
75:11
3 - -3
Its last two digits are divisible by 4.

11. a(b-c)
75:11
Ab-ac
A+c<b+c
(2x7)³

12. The perimeter of a square is 48 inches. The length of its diagonal is:
Its divisible by 2 and by 3.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1/2 times 7/3
12sqrt2

13. What is the slope of a horizontal line?
360/n
NOT A PRIME
A<-b
0

14. Perimeter of a rectangle
x²+2xy+y²
P= 2L + 2w
7 / 1000
The second graph is less steep.

15. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
y2-y1/x2-x1
x - x(SR3) - 2x
130pi

16. Area of a triangle?
(base*height) / 2
D/t (distance)/(time)
A central angle is an angle formed by 2 radii.
62.5%

17. 1n
Reciprocal
1
Move the decimal point to the right x places
(x+y)(x-y)

18. b¹
130pi
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1
(amount of decrease/original price) x 100%

19. What is the ratio of the sides of a 30-60-90 triangle?
A= (1/2) b*h
Factors are few - multiples are many.
1:sqrt3:2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

20. a^2 - b^2 =
C=2 x pi x r OR pi x D
No - only like radicals can be added.
$3 -500 in the 9% and $2 -500 in the 7%.
(a - b)(a + b)

21. Formula to find a circle'S circumference from its diameter?
A²+b²=c²
Can be negative - zero - or positive
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
C = (pi)d

22. 50 < all primes< 60
P= 2L + 2w
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Its divisible by 2 and by 3.
53 - 59

23. The Denominator can never
90
M
Be Zero!
55%

24. a(b+c)
Ab+ac
A<-b
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
(a + b)^2

25. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
A set with no members - denoted by a circle with a diagonal through it.
The two xes after factoring.
The greatest value minus the smallest.

26. A number is divisible by 6 if...
Its divisible by 2 and by 3.
(p + q)/5
EVEN
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

27. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
3
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)
2^9 / 2 = 256
3/2 - 5/3

28. What is the area of a regular hexagon with side 6?
The objects within a set.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Positive
A+c<b+c

29. Area of a Parallelogram:
A=(base)(height)
Negative
4a^2(b)
Be Zero!

30. (x-y)(x+y)
x²-y²
A-b is negative
1
1/a^6

31. How many 3-digit positive integers are even and do not contain the digit 4?
10! / (10-3)! = 720
3 - 4 - 5
288 (8 9 4)
= (actual decrease/Original amount) x 100%

32. Legs: 3 - 4. Hypotenuse?
4.25 - 6 - 22
The sum of digits is divisible by 9.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
5

33. Solve the quadratic equation ax^2 + bx + c= 0
90
P= 2L + 2w
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
28

34. (2²)³
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
26
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

35. What is the 'domain' of a function?
12sqrt2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The set of input values for a function.
Even prime number

36. 2 is the only
angle that is greater than 90° but less than 180°
180°
Even prime number
3 - -3

37. Pi is a ratio of what to what?

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38. 1/6 in percent?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
16.6666%
Can be negative - zero - or positive
Triangles with same measure and same side lengths.

39. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
2 & 3/7
Ø
28

40. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
The sum of its digits is divisible by 3.
3/2 - 5/3
26

41. A quadrilateral where two diagonals bisect each other
x²-y²
Parallelogram
Two (Ø×2=Ø)
72

42. How many multiples does a given number have?
Infinite.
3
90pi
6

43. How to recognize if a # is a multiple of 12
V=Lwh
Sector area = (n/360) X (pi)r^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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.)

44. What is an exterior angle?
1
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
x^(6-3) = x^3
An angle which is supplementary to an interior angle.

45. Circumference of a circle
Straight Angle
2(pi)r
The point of intersection of the systems.
(b + c)

46. How to recognize a # as a multiple of 3
Null
F(x-c)
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)
23 - 29

47. Evaluate (4^3)^2
360°
6 : 1 : 2
4096
180°

48. factored binomial product of (x+y)²
Relationship cannot be determined (what if x is negative?)
12sqrt2
x²+2xy+y²
48

49. Important properties of a 30-60-90 triangle?
Positive
1 & 37/132
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
48

50. 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)]?
The steeper the slope.
Sector area = (n/360) X (pi)r^2
Move the decimal point to the right x places
True