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GRE Math: Common Errors

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. Order of quadrants:
From northeast - counterclockwise. I - II - III - IV
1
The empty set - denoted by a circle with a diagonal through it.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

2. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
62.5%
3sqrt4
F(x-c)
$3 -500 in the 9% and $2 -500 in the 7%.

3. What are the members or elements of a set?
Infinite.
Its last two digits are divisible by 4.
The objects within a set.
An infinite set.

4. Can you subtract 3sqrt4 from sqrt4?
The empty set - denoted by a circle with a diagonal through it.
4096
x= (1.2)(.8)lw
Yes - like radicals can be added/subtracted.

5. What is the sum of the angles of a triangle?
180 degrees
90
10
2 & 3/7

6. How to find the diagonal of a rectangular solid?
16.6666%
N! / (n-k)!
9 : 25
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

7. What is the empty set?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
... the square of the ratios of the corresponding sides.
Ax^2 + bx + c where a -b and c are constants and a /=0
A set with no members - denoted by a circle with a diagonal through it.

8. What is the 'domain' of a function?
2(pi)r^2 + 2(pi)rh
...multiply by 100.
The set of input values for a function.
1 & 37/132

9. 1/6 in percent?
...multiply by 100.
(a - b)(a + b)
Undefined
16.6666%

10. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
N! / (n-k)!
(a + b)^2
An angle which is supplementary to an interior angle.
12! / 5!7! = 792

11. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A 30-60-90 triangle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
7 / 1000

12. 50 < all primes< 60
4725
4096
From northeast - counterclockwise. I - II - III - IV
53 - 59

13. Simplify 9^(1/2) X 4^3 X 2^(-6)?
The two xes after factoring.
3
Lies opposite the greater angle
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

14. What is the intersection of A and B?
III
The set of elements found in both A and B.
The steeper the slope.
130pi

15. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A circle centered at -2 - -2 with radius 3.
Its last two digits are divisible by 4.
Yes - like radicals can be added/subtracted.
A reflection about the axis.

16. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
10! / (10-3)! = 720
48
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

17. 1/8 in percent?
Cd
IV
12.5%
3 - -3

18. Define a 'Term' -
x^(2(4)) =x^8 = (x^4)^2
87.5%
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)

19. 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?
2.592 kg
5 OR -5
The set of elements found in both A and B.
75:11

20. What is an isoceles triangle?
1
The second graph is less steep.
Two equal sides and two equal angles.
61 - 67

21. Max and Min lengths for a side of a triangle?
.0004809 X 10^11
(a - b)^2
The third side is greater than the difference and less than the sum.
An expression with just one term (-6x - 2a^2)

22. What is an exterior angle?
5
An angle which is supplementary to an interior angle.
Cd
Lies opposite the greater angle

23. What is a major arc?

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24. In a regular polygon with n sides - the formula for the sum of interior angles
72
Two angles whose sum is 90.
(n-2) x 180
Part = Percent X Whole

25. What is the 'Solution' for a set of inequalities.
The overlapping sections.
(a + b)^2
The interesection of A and B.
A chord is a line segment joining two points on a circle.

26. What is the formula for compounded interest?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
A= I (1 + (r/c))^tC - where I is the investment - C is the number of times compounded annually - and t is the number of years.
(a - b)(a + b)
Two angles whose sum is 90.

27. Formula for the area of a sector of a circle?
0
A chord is a line segment joining two points on a circle.
The set of input values for a function.
Sector area = (n/360) X (pi)r^2

28. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Lies opposite the greater angle
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The set of output values for a function.

29. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
...multiply by 100.
Its divisible by 2 and by 3.
Cd
The greatest value minus the smallest.

30. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
10
A 30-60-90 triangle.
The direction of the inequality is reversed.

31. What is the side length of an equilateral triangle with altitude 6?
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...
... the square of the ratios of the corresponding sides.
4725

32. Area of a triangle?
(base*height) / 2
Move the decimal point to the right x places
Divide by 100.
A central angle is an angle formed by 2 radii.

33. Is 0 even or odd?
Even
When the function is not defined for all real numbers -; only a subset of the real numbers.
The set of input values for a function.
No - only like radicals can be added.

34. What are the integers?
All numbers multiples of 1.
The direction of the inequality is reversed.
1
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

35. a^2 - 2ab + b^2
An angle which is supplementary to an interior angle.
(a - b)^2
31 - 37
4725

36. x^6 / x^3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x^(6-3) = x^3
7 / 1000
500

37. What are the irrational numbers?

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38. What is the formula for computing simple interest?
90pi
13pi / 2
Angle/360 x (pi)r^2
A = I (1 + rt)

39. 25^(1/2) or sqrt. 25 =
F(x-c)
An infinite set.
5 OR -5
1

40. 10<all primes<20
11 - 13 - 17 - 19
2
1/(x^y)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

41. a^2 - b^2 =
(a - b)(a + b)
(p + q)/5
Triangles with same measure and same side lengths.
(amount of increase/original price) x 100%

42. If the two sides of a triangle are unequal then the longer side...
An expression with just one term (-6x - 2a^2)
Lies opposite the greater angle
4:5
2sqrt6

43. A number is divisible by 9 if...
(b + c)
12.5%
70
The sum of digits is divisible by 9.

44. 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?
G(x) = {x}
10! / (10-3)! = 720
The second graph is less steep.
Two equal sides and two equal angles.

45. Can you add sqrt 3 and sqrt 5?
2sqrt6
A = I (1 + rt)
No - only like radicals can be added.
18

46. Solve the quadratic equation ax^2 + bx + c= 0
$11 -448
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
5 OR -5
Diameter(Pi)

47. Define an 'expression'.
75:11
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)
1/(x^y)
71 - 73 - 79

48. What is the slope of a horizontal line?
A 30-60-90 triangle.
Infinite.
0
1

49. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A subset.
The set of elements found in both A and B.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

50. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A set with a number of elements which can be counted.
The sum of digits is divisible by 9.