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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. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
75:11
= (actual decrease/Original amount) x 100%
A=½bh

2. Evaluate 3& 2/7 / 1/3
9 & 6/7
1
x^(6-3) = x^3
6

3. 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?
75:11
Even
A<-b
zero

4. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
The set of input values for a function.
13pi / 2
1
A<-b

5. Area of a Parallelogram:
Ab+ac
Reciprocal
6
A=(base)(height)

6. x^4 + x^7 =
3 - 4 - 5
x^(4+7) = x^11
P=2(l+w)
x²-2xy+y²

7. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
V=l×w×h
1
A central angle is an angle formed by 2 radii.
13pi / 2

8. The consecutive angles in a parallelogram equal
x^(2(4)) =x^8 = (x^4)^2
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
180°
M= (Y1-Y2)/(X1-X2)

9. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
Pi(diameter)
P= 2L + 2w
9 : 25
y = 2x^2 - 3

10. If y is directly proportional to x - what does it equal?
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.)
The sum of its digits is divisible by 3.
y/x is a constant
x^(4+7) = x^11

11. Perimeter of a rectangle
A = pi(r^2)
P= 2L + 2w
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
3 - -3

12. Find distance when given time and rate
1
The point of intersection of the systems.
The sum of digits is divisible by 9.
D=rt so r= d/t and t=d/r

13. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
= (actual decrease/Original amount) x 100%
A percent is a fraction whose denominator is 100.
10! / (10-3)! = 720

14. The reciprocal of any non-zero #x is
B?b?b (where b is used as a factor n times)
4a^2(b)
Triangles with same measure and same side lengths.
1/x

15. binomial product of (x+y)(x-y)
x²-y²
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)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
x²+2xy+y²

16. Ø is a multiple of
Edge³
Every number
4a^2(b)
x - x(SR3) - 2x

17. In any polygon - all external angles equal up to
Indeterminable.
360°
48
The longest arc between points A and B on a circle'S diameter.

18. 1/6 in percent?
Ø
16.6666%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Do not have slopes!

19. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Distance=rate×time or d=rt
1.7
x - x(SR3) - 2x
70

20. a(b-c)
A central angle is an angle formed by 2 radii.
5 - 12 - 13
Two angles whose sum is 180.
Ab-ac

21. A number is divisible by 9 if...
A tangent is a line that only touches one point on the circumference of a circle.
The sum of digits is divisible by 9.
P= 2L + 2w
(x+y)(x+y)

22. 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
Undefined - because we can'T divide by 0.
Negative
an angle that is less than 90°

23. What are the members or elements of a set?
Its last two digits are divisible by 4.
The objects within a set.
The direction of the inequality is reversed.
P=2(l+w)

24. Time
An arc is a portion of a circumference of a circle.
13
1
(distance)/(rate) d/r

25. 10<all primes<20
18
A tangent is a line that only touches one point on the circumference of a circle.
11 - 13 - 17 - 19
75:11

26. What is a central angle?
A central angle is an angle formed by 2 radii.
x²-y²
Even prime number
2 & 3/7

27. 30 60 90
5 - 12 - 13
The sum of the digits is a multiple of 9.
Two equal sides and two equal angles.
A-b is positive

28. factored binomial product of (x+y)²
28
x²+2xy+y²
The set of elements found in both A and B.
x^(6-3) = x^3

29. The reciprocal of any non-zero number is
1/x
A-b is positive
V=l×w×h
(b + c)

30. Ø is a multiple of
Two (Ø×2=Ø)
V=Lwh
2^9 / 2 = 256
A reflection about the axis.

31. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
Triangles with same measure and same side lengths.
= (actual decrease/Original amount) x 100%
P= 2L + 2w

32. a/Ø
Ab-ac
Pi is the ratio of a circle'S circumference to its diameter.
71 - 73 - 79
Null

33. Slope given 2 points
1
M= (Y1-Y2)/(X1-X2)
13
23 - 29

34. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
angle that is greater than 90° but less than 180°
1/a^6
Null
441000 = 1 10 10 10 21 * 21

35. Ø is
A reflection about the axis.
72
A multiple of every integer
13pi / 2

36. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
(n-2) x 180
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
4.25 - 6 - 22
A-b is positive

37. What is a minor arc?

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38. If Event is impossible
5
P(E) = ø
28. n = 8 - k = 2. n! / k!(n-k)!
A=pi*(r^2)

39. What is the 'Solution' for a set of inequalities.
The overlapping sections.
360°
12sqrt2
The set of input values for a function.

40. Product of any number and Ø is
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Ø
x²-y²
180°

41. The larger the absolute value of the slope...
Even
angle that is greater than 90° but less than 180°
A-b is negative
The steeper the slope.

42. What is the side length of an equilateral triangle with altitude 6?
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...
Can be negative - zero - or positive
180°
2²

43. 50 < all primes< 60
53 - 59
A set with a number of elements which can be counted.
The point of intersection of the systems.
(pi)r²

44. What is an isoceles triangle?
A set with a number of elements which can be counted.
F(x-c)
An isosceles right triangle.
Two equal sides and two equal angles.

45. Area of a circle
Triangles with same measure and same side lengths.
52
4a^2(b)
(pi)r²

46. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
V=side³
The sum of the digits is a multiple of 9.
52
48

47. One is (a prime or not?)
NOT A PRIME
an angle that is less than 90°
1
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

48. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
The union of A and B.
Every number
1.7

49. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
1/2 times 7/3
P(E) = 1/1 = 1
P= 2L + 2w

50. Probability of E not occurring:
A subset.
3 - 4 - 5
F(x + c)
1 - P(E)