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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. Define a 'Term' -
5 OR -5
1
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)
Two angles whose sum is 90.

2. The larger the absolute value of the slope...
31 - 37
The steeper the slope.
23 - 29
2 & 3/7

3. Formula for the area of a circle?
x²-2xy+y²
The union of A and B.
A = pi(r^2)
5

4. A number is divisible by 6 if...
(distance)/(rate) d/r
2(pi)r
Its divisible by 2 and by 3.
18

5. What are the rational numbers?
10
A = length x width
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Two angles whose sum is 90.

6. 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?
9 : 25
4096
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
y/x is a constant

7. bn
(a - b)(a + b)
130pi
B?b?b (where b is used as a factor n times)
x²-2xy+y²

8. Ø Is neither
Positive or Negative
Undefined - because we can'T divide by 0.
28. n = 8 - k = 2. n! / k!(n-k)!
An angle which is supplementary to an interior angle.

9. 25+2³
28
0
x^(4+7) = x^11
11 - 13 - 17 - 19

10. Legs 6 - 8. Hypotenuse?
71 - 73 - 79
Cd
500
10

11. Volume of a rectangular box
Positive or Negative
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A reflection about the origin.
V=Lwh

12. Circumference of a circle
Pi(diameter)
(distance)/(rate) d/r
An isosceles right triangle.
Every number

13. 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)]?
P=4s (s=side)
16.6666%
True
P(E) = ø

14. 8.84 / 5.2
The second graph is less steep.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
180°
1.7

15. The sum of the angles in a quadrilateral is
x - x+1 - x+2
360°
The objects within a set.
3

16. binomial product of (x-y)²
(x+y)(x-y)
A-b is positive
(a - b)^2
The second graph is less steep.

17. How to recognize a multiple of 6
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.)
A-b is positive
Sum of digits is a multiple of 3 and the last digit is even.
Its last two digits are divisible by 4.

18. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
70
x^(6-3) = x^3
72

19. 1 is the
(x+y)(x-y)
3/2 - 5/3
Smallest positive integer
EVEN

20. Positive integers that have exactly 2 positive divisors are
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
10! / 3!(10-3)! = 120
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

21. What are 'Supplementary angles?'
x^(6-3) = x^3
The union of A and B.
Two angles whose sum is 180.
Undefined - because we can'T divide by 0.

22. Factor x^2 - xy + x.
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...
9
x(x - y + 1)
Relationship cannot be determined (what if x is negative?)

23. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
360°
Undefined - because we can'T divide by 0.
3x - 4x - 5x

24. Rate
1
D/t (distance)/(time)
Positive or Negative
Ab-ac

25. 30 60 90
The set of output values for a function.
x - x(SR3) - 2x
11 - 13 - 17 - 19
Ab+ac

26. 7 divided by Ø
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Null
61 - 67
Pi is the ratio of a circle'S circumference to its diameter.

27. What is the 'Solution' for a system of linear equations?
A=pi*(r^2)
Parallelogram
The point of intersection of the systems.
Cd

28. Number of degrees in a triangle
Even
A grouping of the members within a set based on a shared characteristic.
180
26

29. 25/2³
2²
The set of elements found in both A and B.
Every number
Sum of digits is a multiple of 3 and the last digit is even.

30. Important properties of a 30-60-90 triangle?
D/t (distance)/(time)
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
An angle which is supplementary to an interior angle.
3 - -3

31. An Angle that'S 180°
(distance)/(rate) d/r
Straight Angle
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...
A set with no members - denoted by a circle with a diagonal through it.

32. Perimeter of a rectangle
12sqrt2
4725
P= 2L + 2w
Positive or Negative

33. 5/6 in percent?
1
87.5%
83.333%
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.)

34. What are the irrational numbers?

35. A number is divisible by 4 is...
4:5
Its last two digits are divisible by 4.
288 (8 9 4)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

36. The Perimeter of a rectangle
P=2(l+w)
13
The overlapping sections.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

37. a^2 + 2ab + b^2
12! / 5!7! = 792
(a + b)^2
Ab=k (k is a constant)
Cd

38. formula for area of a triangle
A=½bh
(n-2) x 180
The two xes after factoring.
Ø

39. The percent decrease of a quantity
F(x-c)
Reciprocal
= (actual decrease/Original amount) x 100%
10

40. Simplify the expression (p^2 - q^2)/ -5(q - p)
3/2 - 5/3
A chord is a line segment joining two points on a circle.
A= (1/2) b*h
(p + q)/5

41. What is a minor arc?

42. Time
A-b is negative
1/x
2sqrt6
(distance)/(rate) d/r

43. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Two equal sides and two equal angles.
Subtract them. i.e (5^7)/(5^3)= 5^4
x^(2(4)) =x^8 = (x^4)^2

44. What is a tangent?
An arc is a portion of a circumference of a circle.
A reflection about the axis.
A tangent is a line that only touches one point on the circumference of a circle.
75:11

45. 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)
A chord is a line segment joining two points on a circle.
4.25 - 6 - 22
Undefined
x²+2xy+y²

46. Area of a circle
(distance)/(rate) d/r
A=pi*(r^2)
An angle which is supplementary to an interior angle.
(x+y)(x-y)

47. 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...
(rate)(time) d=rt
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
(amount of decrease/original price) x 100%

48. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
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
2
An is positive

49. What is a finite set?
A reflection about the origin.
The empty set - denoted by a circle with a diagonal through it.
A set with a number of elements which can be counted.
x - x+1 - x+2

50. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
y2-y1/x2-x1
2.592 kg
x^(2(4)) =x^8 = (x^4)^2