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. Volume of prism
Bh
2l+2w
2x2x2x5x5
A digit is a number that makes up other numbers. There are ten digits: 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. Every 'number' is made up of one or more digits. For example - the number 528 is made up of three digits - a 5 - a 2 - and an 8.

2. What is a '30:60:90' triangle?
4s
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
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
1/1

3. Sector
2Length + 2width [or (length + width) x 2]
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.
Between 0 and 1.
Probability A * Probability B

4. Diameter
The distance across the circle through the center of the circle.The diameter is twice the radius.
y-y1=m(x-x1)
1/x^a
y2-y1/x2-x1

5. Define the median of a set of numbers - and how to find it for an odd and even number of values in a set.
Subtract the exponents - retain the base For example - x? x4 = x?-4 = x5
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.
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.
1/2bh

6. Area of a triangle
(base x height) [or (base x height)2]
Not necessarily. This is a trick question - because x could be either positive or negative.
4s (where s = length of a side)
Middle term

7. Circumference of cirlce using diameter
1. Raising a fraction (between 0 and 1) to a power greater than 1 results in a SMALLER number. For example: (1/2) = 1/4.2. A number raised to the 0 power is 1 - no matter what the number is. For example: 1 -287 = 1.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
Pi*d
Bh

8. (a+b)(a-b)=
A-b
1.4
1/2bh
Equal

9. Define the range of a set of numbers.
2l+2w
The four big angles are equal and the four small angles are equal
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.
(n degrees/360) * (pi)r^2

10. In a coordinate system - identify the quadrants and describe their location.
Lw
1/1
1. Factored: x - y Unfactored: (x+y)(x-y) 2. Factored: (x+y) Unfactored: x + 2xy + y 3. Factored: (x-y) Unfactored: x - 2xy + y
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

11. How do you find the nth term of an arithmetic sequence?
T1 + (n-1)d
2pir^2 + 2pir*h
A digit is a number that makes up other numbers. There are ten digits: 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. Every 'number' is made up of one or more digits. For example - the number 528 is made up of three digits - a 5 - a 2 - and an 8.
x/360 times (2 pi r) - where x is the degrees in the angle

12. What is the formula for the diagonal of any square?
S*v2
A digit is a number that makes up other numbers. There are ten digits: 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. Every 'number' is made up of one or more digits. For example - the number 528 is made up of three digits - a 5 - a 2 - and an 8.
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.
That they often have not just one answer - but two. For example - solving x -10x + 24 = 0 factors to (x-4)(x-6)=0 - which means x could equal either 4 or 6. Just accept it.

13. What number goes on the bottom of a probability fraction?
The total # of possible outcomes.
2(pi)r(r+h)
2l+2w
Less

14. Surface Area of rectangular prism
The total # of possible outcomes.
2lw+2lh+2wh
(x+y)(x-y)
(pi)r^2(h)

15. Central Angle
?d OR 2?r
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.
An ange whose vertex is the center of the circle
2pir^2 + 2pir*h

16. What is the area of a circle?
?r
The length of any one side of a triangle must be less than the sum of the other two sides. It must also be greater than the difference between the other two sides. So - 'A' will always be < B+C - and > B-C or C-B.
Pir^2h
(pi)r^2

17. Perimeter of a rectangle
Subtract the exponents - retain the base For example - x? x4 = x?-4 = x5
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
The set of points which are all the same distance (the radius) from a certain point (the center).
2Length + 2width [or (length + width) x 2]

18. What kind of triangle is this: has two sides of equal length - and a 90 degree angle?
?r
1.4
(x1+x2)/2 - (y1+y2)/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.

19. What is the equation of a line?
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
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=bh

20. What is the area of a solid rectangle?
x-y
2(lw+wh+lh)
Pir^2h
Part of a circle connecting two points on the circle.

21. What is the circumference of a circle?
2(pi)r
y = k/x
(n degrees/360) * 2(pi)r
(y2-y1)/(x2-x1)

22. Slope
A=bh
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2
Opens up
(y2-y1)/(x2-x1)

23. Explain the special properties of zero.
A=?r2
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.
1/x^a
Opens up

24. Perimeter of a square
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.
4s (where s = length of a side)
?r
(y2-y1)/(x2-x1)

25. How do you get rid of the fraction in this equation: 5x + 3/2 = 7x
The average - mean - median - or mode.
A(b+c) = ab + ac a(b-c) = ab - ac For example - 12(66) + 12(24) is the same as 12(66+24) - or 12(90) = 1 -080.
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.
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.

26. What is 'absolute value' - and how is it represented?
Absolute value is a number'S distance away from zero on the number line. It is always positive - regardless of whether the number is positive or negative. It is represented with | |. For example - |-5| = 5 - and |5| = 5.
The set of points which are all the same distance (the radius) from a certain point (the center).
(a+b)(a-ab+b)
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.

27. The length of one side of any triangle is ____ than the sum of the other two sides.
The ratio of sides is x:x:xv2 - where xv2 is the hypotenuse.
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
The four big angles are equal and the four small angles are equal
Less

28. Describe and define three expressions of quadratic equations - in both factored and unfactored forms. Know these cold.
The average - mean - median - or mode.
2(pi)r(r+h)
1. Factored: x - y Unfactored: (x+y)(x-y) 2. Factored: (x+y) Unfactored: x + 2xy + y 3. Factored: (x-y) Unfactored: x - 2xy + y
A digit is a number that makes up other numbers. There are ten digits: 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. Every 'number' is made up of one or more digits. For example - the number 528 is made up of three digits - a 5 - a 2 - and an 8.

29. Define the mode of a set of numbers.
1/2 h (b1 + b2)
Arrangements - orders - schedules - or lists.
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.
2x2x2x5x5

30. In a parabola - if the first term is positive - the parabola ________.
4s
y-y1=m(x-x1)
(x+y)
Opens up

31. Area of Circle
Pi*d
Pi*r^2
S - where s = length of a side
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

32. What is the surface area of a cylinder?
Bh
(a+b)(a-b)
Probability A + Probability B
2(pi)r(r+h)

33. Explain the difference between a digit and a number.
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.
A digit is a number that makes up other numbers. There are ten digits: 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. Every 'number' is made up of one or more digits. For example - the number 528 is made up of three digits - a 5 - a 2 - and an 8.
The distance from one point on the circle to another point on the circle.
(a-b)(a+ab+b)

34. Area of Trapezoid
Probability A + Probability B
1/2 h (b1 + b2)
4/3pir^3
(x1+x2)/2 - (y1+y2)/2

35. Define the 'Third side' rule for triangles
y = k/x
Not necessarily. This is a trick question - because x could be either positive or negative.
The length of any one side of a triangle must be less than the sum of the other two sides. It must also be greater than the difference between the other two sides. So - 'A' will always be < B+C - and > B-C or C-B.
Lw

36. Area of Square
1/3pir^2*h
S^2
(x+y)(x-y)
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.

37. Volume of Cylinder
Bh
2(lw+wh+lh)
Pir^2h
Sqr( x2 -x1) + (y2- y1)

38. Circle
T1 * r^(n-1)
The set of points which are all the same distance (the radius) from a certain point (the center).
2(pi)r
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

39. How do you calculate the percentage of change?
Percentage Change = Difference/Original * 100
Ac+ad+bc+bd
Less
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.

40. a - b is equal to
(a+b)(a-b)
Lwh
Subtract the exponents - retain the base For example - x? x4 = x?-4 = x5
The set of points which are all the same distance (the radius) from a certain point (the center).

41. Does order matter for a permutation? How about for a combination?
1/3Bh
Bh
Order does matter for a permutation - but does not matter for a combination.
Like any other number. For example - v3*v12 = v36 = 6 For example - v(16/4) = v16/v4 = 4/2 = 2

42. What is the factored version of x + 2xy + y ?
(x+y)
2 pi r
(a-b)(a+b)
Negative

43. If an event can happen N ways - and another can happen M ways - then both events together can happen in ____ ways.
A digit is a number that makes up other numbers. There are ten digits: 0 -1 -2 -3 -4 -5 -6 -7 -8 -9. Every 'number' is made up of one or more digits. For example - the number 528 is made up of three digits - a 5 - a 2 - and an 8.
N x M
Absolute value is a number'S distance away from zero on the number line. It is always positive - regardless of whether the number is positive or negative. It is represented with | |. For example - |-5| = 5 - and |5| = 5.
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.

44. What is the factored version of (x+y)(x-y) ?
Add the exponents - retain the base. for example - x + x5 = x+5 = x7
(n-2)180
x-y
Interior angles are equal: 60:60:60 degrees each. All sides are equal length.

45. Quadratic Formula
b[vb-4ac]/2a
4s (where s = length of a side)
Order does matter for a permutation - but does not matter for a combination.
1/2 h (b1 + b2)

46. Explain a method for quickly comparing fractions with different denominators - to determine which is larger.
(x+y)(x-y)
2pi*r
2(pi)r
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

47. (a+b)(c+d)
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.
1/3Bh
1/2bh
Ac+ad+bc+bd

48. In a parabola - if the first term is negative - the parabola ________.
1/x^a
Opens down
A circle'S perimeter is roughly 3x its diameter (the formula is pd).
T1 + (n-1)d

49. Volume of pyramid
S^2
1/3Bh
?r
Lwh

50. How do you multiply powers with the same base?
2lw+2lh+2wh
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.
Add the exponents - retain the base. for example - x + x5 = x+5 = x7
Quadrant 1 is top right. Q 2 is top left. Q 3 is bottom left. Q 4 is bottom right.

Test your basic knowledge |

GRE Math 2

Top Scores

Link to This Test

Related Subjects