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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. Is 0 even or odd?
Even
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A²+b²=c²
Move the decimal point to the right x places

2. The sum of the angles in a quadrilateral is
360°
A 30-60-90 triangle.
M= (Y1-Y2)/(X1-X2)
Even

3. binomial product of (x+y)²
Pi(diameter)
(x+y)(x+y)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
28. n = 8 - k = 2. n! / k!(n-k)!

4. To multiply a number by 10^x
F(x) - c
Null
A = length x width
Move the decimal point to the right x places

5. A quadrilateral where two diagonals bisect each other
Parallelogram
360°
360/n
10! / (10-3)! = 720

6. Time
Ø
1
Subtract them. i.e (5^7)/(5^3)= 5^4
(distance)/(rate) d/r

7. -3³
27
Null
360°
Positive

8. What is the 'Range' of a function?
20.5
The set of output values for a function.
5 - 12 - 13
The set of elements found in both A and B.

9. Can you add sqrt 3 and sqrt 5?
Positive
A²+b²=c²
No - only like radicals can be added.
2²

10. What is the name for a grouping of the members within a set based on a shared characteristic?
55%
Two angles whose sum is 180.
x^(6-3) = x^3
A subset.

11. Formula for the area of a circle?
A = pi(r^2)
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
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A=½bh

12. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
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...
4:5
The interesection of A and B.
71 - 73 - 79

13. 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?
P= 2L + 2w
Even
10! / (10-3)! = 720
Edge³

14. a^0 =
x^(4+7) = x^11
The objects within a set.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1

15. 7/8 in percent?
87.5%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A²+b²=c²
9

16. Evaluate 3& 2/7 / 1/3
1:1:sqrt2
(base*height) / 2
3 - 4 - 5
9 & 6/7

17. Define a 'Term' -
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)
= (actual decrease/Original amount) x 100%
Every number
1

18. A number is divisible by 9 if...
The sum of digits is divisible by 9.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
angle that is greater than 90° but less than 180°
x²-y²

19. 1 is a divisor of
x²+2xy+y²
D=rt so r= d/t and t=d/r
Every number
A multiple of every integer

20. a(b-c)
27
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)
Ab-ac
P(E) = ø

21. What is the surface area of a cylinder with radius 5 and height 8?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Every number
130pi
13pi / 2

22. What are the integers?
All numbers multiples of 1.
Even
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
70

23. What is a tangent?
83.333%
A tangent is a line that only touches one point on the circumference of a circle.
Ø=P(E)=1
N! / (n-k)!

24. What is the 'domain' of a function?
The second graph is less steep.
Ø
The set of input values for a function.
13pi / 2

25. 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
Ø
61 - 67
180
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

26. 40 < all primes<50
28. n = 8 - k = 2. n! / k!(n-k)!
Pi(diameter)
41 - 43 - 47
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

27. The Denominator can never
x²+2xy+y²
Be Zero!
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
x²-2xy+y²

28. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
75:11
Triangles with same measure and same side lengths.
y = (x + 5)/2

29. a^2 - 2ab + b^2
72
x^(6-3) = x^3
(a - b)^2
The union of A and B.

30. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
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.)
F(x) + c
72

31. Ø is a multiple of
Every number
(length)(width)(height)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(amount of decrease/original price) x 100%

32. What is a subset?
A grouping of the members within a set based on a shared characteristic.
An isosceles right triangle.
441000 = 1 10 10 10 21 * 21
Positive or Negative

33. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
1:1:sqrt2
2^9 / 2 = 256
(distance)/(rate) d/r

34. 70 < all primes< 80
1/x
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Positive
71 - 73 - 79

35. 1/2 divided by 3/7 is the same as
N! / (k!)(n-k)!
Factors are few - multiples are many.
1/2 times 7/3
B?b?b (where b is used as a factor n times)

36. To increase a number by x%
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The direction of the inequality is reversed.
A tangent is a line that only touches one point on the circumference of a circle.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

37. If an inequality is multiplied or divided by a negative number....
90
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
The direction of the inequality is reversed.
x^(6-3) = x^3

38. (x-y)²
4096
The sum of its digits is divisible by 3.
(amount of decrease/original price) x 100%
x²-2xy+y²

39. 3/8 in percent?
90°
13
37.5%
83.333%

40. 1/8 in percent?
y = (x + 5)/2
12.5%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
N! / (n-k)!

41. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
ODD number
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
360/n

42. How to recognize a # as a multiple of 9
4.25 - 6 - 22
A-b is positive
Null
The sum of the digits is a multiple of 9.

43. 1/Ø=null If a>b then
Sum of digits is a multiple of 3 and the last digit is even.
A<-b
Ab-ac
Even

44. When multiplying exponential #s with the same base - you do this to the exponents...
Add them. i.e. (5^7) * (5^3) = 5^10
1.7
M
(a + b)^2

45. If a lamp decreases to $80 - from $100 - what is the decrease in price?
52
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
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.)
13pi / 2

46. What is an arc of a circle?
27^(-4)
A=½bh
3/2 - 5/3
An arc is a portion of a circumference of a circle.

47. (12sqrt15) / (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Ab-ac
90pi

48. Simplify (a^2 + b)^2 - (a^2 - b)^2
A-b is positive
An infinite set.
A reflection about the axis.
4a^2(b)

49. Can you simplify sqrt72?
A<-b
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

50. If y is directly proportional to x - what does it equal?
An infinite set.
y/x is a constant
5 OR -5
Even prime number

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GRE Math: All In One

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