Test your basic knowledge |

GRE Math 2

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. Perimeter of rectangle
(a-b)(a²+ab+b²)
(y2-y1)/(x2-x1)
Middle term
2l+2w

2. What is the 'Third side' rule for triangles?
That - unlike a normal chart - they are constructed to HIDE information or make it HARDER to understand. Be sure to scroll down - read everything - and look carefully for hidden information - asterisks - footnotes - small print - and funny units.
y = kx
x°/360 times (?r²) - where x is the degrees in the angle
The length of any one side of a triangle must be less than the sum of the other two sides - and greater than the difference between the other two sides.

3. Explain the difference between a digit and a number.

4. a² - b² is equal to
Percentage Change = Difference/Original * 100
(a+b)(a-b)
S^2
x²-y²

5. How do you find the nth term of a geometric sequence?
1/2 h (b1 + b2)
The average - mean - median - or mode.
y-y1=m(x-x1)
T1 * r^(n-1)

6. List two odd behaviors of exponents
2lw+2lh+2wh
2pir^2 + 2pir*h
1. Raising a fraction (between 0 and 1) to a power greater than 1 results in a SMALLER number. For example: (1/2)² = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287° = 1.
y = kx

7. If something is possible but not certain - what is the numeric range of probability of it happening?
1.4
Between 0 and 1.
2(pi)r(r+h)
The mode is the number in a set that occurs most frequently. Example: for the set {3 -6 -3 -8 -9 -3 -11} the number 3 appears most frequently so it is the mode.

8. What is directly proportional?
y = kx
(pi)r^2
(pi)r^2(h)
S^2

9. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.

10. a²+2ab+b²
1/2 h (b1 + b2)
(a+b)²
(pi)r^2
2(pi)r(r+h)

11. Area of Square
The total # of possible outcomes.
S^2
The distance from one point on the circle to another point on the circle.
(n degrees/360) * (pi)r^2

12. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
An ange whose vertex is the center of the circle
x°/360 times (2 pi r) - where x is the degrees in the angle
Multiply all elements of both sides of the equation by 2 (the denominator of the fraction). This will produce 10x + 3 = 14x. Solve from there: 3 = 4x - x = 3/4.

13. What is an 'equilateral' triangle?
½(base x height) [or (base x height)÷2]
4s
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.
Negative

14. What'S the most important thing to remember about charts you'll see on the GRE?
Bh
2Length + 2width [or (length + width) x 2]
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
That - unlike a normal chart - they are constructed to HIDE information or make it HARDER to understand. Be sure to scroll down - read everything - and look carefully for hidden information - asterisks - footnotes - small print - and funny units.

15. How do you multiply and divide square roots?
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
y2-y1/x2-x1
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
A segment connecting the center of a circle to any point on the circle

16. Define the range of a set of numbers.
The equation must be set equal to zero. If during the test one appears that'S not - before you can solve it you must first manipulate it so it is equal to zero.
The range is the difference between the biggest and smallest numbers in the set. Example: for the set {2 -6 -13 -3 -15 -4 -9} the smallest number is 2 - largest is 15 - so the range is 15-2=13.
2pir^2 + 2pir*h
(a+b)²

17. Arc
2pi*r
Part of a circle connecting two points on the circle.
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
Sqr( x2 -x1) + (y2- y1)

18. The length of one side of any triangle is ____ than the sum of the other two sides.
Lwh
The length of any one side of a triangle must be less than the sum of the other two sides - and greater than the difference between the other two sides.
Less
The range is the difference between the biggest and smallest numbers in the set. Example: for the set {2 -6 -13 -3 -15 -4 -9} the smallest number is 2 - largest is 15 - so the range is 15-2=13.

19. Volume of pyramid
1/3Bh
Bh
C =?d
Sum of terms/number of terms

20. Area of Trapezoid
Calculate and add the areas of all of 6 its sides.Example: for a rectangle with dimensions 2 x 3 x 4 - there will be 2 sides each - for each combination of these dimensions. That is - 2 each of 2x3 - 2 each of 3x4 - and 2 each of 4x2.
1/2 h (b1 + b2)
2(lw+wh+lh)
(n-2)180

21. What is the factored version of (x+y)(x-y) ?
(pi)r^2(h)
(y-y1)=m(x-x1)
(x+y)(x-y)
x²-y²

22. Area of a circle
T1 * r^(n-1)
?r²
2 pi r
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.

23. For a bell curve - what three terms might be used to describe the number in the middle?
1/3pir^2*h
y = mx + b -- where: x -y are the coordinates of any point on the line (allows you to locate) m is the slope of the line b is the intercept (where the line crosses the y-axis) - Sometimes on the GRE - 'a' is substituted for 'm' - as in 'y = ax + b'.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
The average - mean - median - or mode.

24. x^-a =
1/x^a
(a-b)(a+b)
Proportionate values are equivalent. Example: 1/2 and 4/8 are proportionate - but 1/2 and 2/3 are not.
?r²

25. What is the volume of a solid rectangle?
Lwh
2pi*r
The length of any one side of a triangle must be less than the sum of the other two sides - and greater than the difference between the other two sides.
(x+y)(x-y)

26. a³-b³
2lw+2lh+2wh
2(pi)r(r+h)
?d OR 2?r
(a-b)(a²+ab+b²)

27. Diameter
That they often have not just one answer - but two. For example - solving x² -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.
1.7
This triangle is a square divided along its diagonal. Interior angles are 90:45:45 degrees. The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
The distance across the circle through the center of the circle.The diameter is twice the radius.

28. Perimeter of a square
4s (where s = length of a side)
2(lw+wh+lh)
Order does matter for a permutation - but does not matter for a combination.
1/x^a

29. Area of a triangle
½(base x height) [or (base x height)÷2]
The range is the difference between the biggest and smallest numbers in the set. Example: for the set {2 -6 -13 -3 -15 -4 -9} the smallest number is 2 - largest is 15 - so the range is 15-2=13.
2(pi)r(r+h)
The factorial of a number is that number times every positive whole number smaller than that number - down to 1. Example: 6! means the factorial of 6 - which = 65432*1 = 720.

30. What is the unfactored version of (x+y)² ?
The equation must be set equal to zero. If during the test one appears that'S not - before you can solve it you must first manipulate it so it is equal to zero.
x² + 2xy + y²
2Length + 2width [or (length + width) x 2]
(a-b)(a+b)

31. Surface Area of Cylinder
A²-b²
1/2bh
2pir^2 + 2pir*h
y = mx + b -- where: x -y are the coordinates of any point on the line (allows you to locate) m is the slope of the line b is the intercept (where the line crosses the y-axis) - Sometimes on the GRE - 'a' is substituted for 'm' - as in 'y = ax + b'.

32. Area of Rectangle
Less
Lw
Sum of the lengths of the sides
4s

33. Sector
This is an equilateral triangle that has been divided along its height. Interior angles are 30:60:90 degrees. Ratio of sides is x:xv3:2x - where x is the base - xv3 is the height - and 2x is the hypotenuse. This allows you to deduce any side - given
The part of a circle that looks like a piece of pie. A sector is bounded by 2 radii and an arc of the circle.
1/3pir^2*h
(0 -0)

34. To divide powers with the same base...
Subtract the exponents - retain the base For example - x? ÷ x4 = x?-4 = x5
The length of any one side of a triangle must be less than the sum of the other two sides - and greater than the difference between the other two sides.
(a+b)²
Zero is even. It is an integer. It is neither positive nor negative. Zero multiplied by any other number = zero. You cannot divide by zero.

35. Define the mode of a set of numbers.
The mode is the number in a set that occurs most frequently. Example: for the set {3 -6 -3 -8 -9 -3 -11} the number 3 appears most frequently so it is the mode.
Number of desired outcomes/number of total outcomes
x°/360 times (?r²) - where x is the degrees in the angle
Arrangements - orders - schedules - or lists.

36. Lines reflected over the x or y axis have ____ slopes.
The factorial of a number is that number times every positive whole number smaller than that number - down to 1. Example: 6! means the factorial of 6 - which = 65432*1 = 720.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
An isoceles right angle. Remember that interior angles are 90:45:45 degrees. The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Negative

37. How do you find the sum of an arithmetic sequence?
(n/2) * (t1+tn)
1/2bh
Probability A + Probability B
y-y1=m(x-x1)

38. Perimeter of polygon
2pi*r
Sum of the lengths of the sides
S*v2
Ac+ad+bc+bd

39. Area of Triangle
1/2bh
Probability A * Probability B
(pi)r^2
T1 * r^(n-1)

40. What is the area of a cylinder?
(a-b)(a²+ab+b²)
The equation must be set equal to zero. If during the test one appears that'S not - before you can solve it you must first manipulate it so it is equal to zero.
2(pi)r(r+h)
Number of desired outcomes/number of total outcomes

41. perimeter of square
½(base x height) [or (base x height)÷2]
An isoceles right angle. Remember that interior angles are 90:45:45 degrees. The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
4s
(a+b)(a-b)

42. Area of a trapezoid
A median is the middle value of a set of numbers. For an odd number of values - it'S simply the middle number. For an even number of values - take the average of the center two values.
Add the exponents - retain the base. for example - x² + x5 = x²+5 = x7
½(b1 +b2) x h [or (b1 +b2) x h÷2]
Pi*r^2

43. Area of rectangle - square - parallelogram
Calculate and add the areas of all of 6 its sides.Example: for a rectangle with dimensions 2 x 3 x 4 - there will be 2 sides each - for each combination of these dimensions. That is - 2 each of 2x3 - 2 each of 3x4 - and 2 each of 4x2.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1/2bh
A=bh

44. Define a factorial of a number - and how it is written.
A+b
The factorial of a number is that number times every positive whole number smaller than that number - down to 1. Example: 6! means the factorial of 6 - which = 65432*1 = 720.
2pir^2 + 2pir*h
y2-y1/x2-x1

45. What is the volume of a cylinder?
(pi)r^2(h)
Number of desired outcomes/number of total outcomes
Part of a circle connecting two points on the circle.
Not necessarily. This is a trick question - because x could be either positive or negative.

46. When a line crosses two parallel lines - ________.
Arrangements - orders - schedules - or lists.
(a-b)(a+b)
C =?d
The four big angles are equal and the four small angles are equal

47. What is the circumference of a circle?
A+b
2(pi)r
1/2 h (b1 + b2)
2 pi r

48. In intersecting lines - opposite angles are _____.
Equal
(n degrees/360) * (pi)r^2
1/1
Less

49. Circumference of cirlce using diameter
Pi*d
(y2-y1)/(x2-x1)
Arrangements - orders - schedules - or lists.
Multiply each numerator by the other fraction'S denominator. Example: 3/7 and 7/12. Multiply 312 = 36 - and 77 = 49. If you completed the full calculation - you'd also cross-multiply the denominators - but you don'T have to in order to compare values

50. Area of Parallelogram
Negative
Bh
A median is the middle value of a set of numbers. For an odd number of values - it'S simply the middle number. For an even number of values - take the average of the center two values.
1/1