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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. What percent of 40 is 22?
55%
y = 2x^2 - 3
The third side is greater than the difference and less than the sum.
12sqrt2

2. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
2^9 / 2 = 256
288 (8 9 4)
A reflection about the origin.

3. What is the absolute value function?
1 & 37/132
The two xes after factoring.
G(x) = {x}
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

4. What is the formula for computing simple interest?
A = I (1 + rt)
9 : 25
413.03 / 10^4 (move the decimal point 4 places to the left)
(a + b)^2

5. What are the irrational numbers?

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6. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
41 - 43 - 47
1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A reflection about the axis.

7. Legs 5 - 12. Hypotenuse?
4:5
$11 -448
0
13

8. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
48
12! / 5!7! = 792
No - the input value has exactly one output.
1.0843 X 10^11

9. What is the name for a grouping of the members within a set based on a shared characteristic?
1/a^6
A subset.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The set of output values for a function.

10. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
20.5
Cd
A circle centered on the origin with radius 8.
An arc is a portion of a circumference of a circle.

11. Can you subtract 3sqrt4 from sqrt4?
1
2^9 / 2 = 256
Infinite.
Yes - like radicals can be added/subtracted.

12. What is the percent formula?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
True
Part = Percent X Whole
10! / 3!(10-3)! = 120

13. What is the formula for compounded interest?
Triangles with same measure and same side lengths.
Its last two digits are divisible by 4.
28. n = 8 - k = 2. n! / k!(n-k)!
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.

14. What is an arc of a circle?
Its last two digits are divisible by 4.
(base*height) / 2
An arc is a portion of a circumference of a circle.
72

15. What is an isoceles triangle?
1.7
Two equal sides and two equal angles.
71 - 73 - 79
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

16. What are the roots of the quadrinomial x^2 + 2x + 1?
Sqrt 12
23 - 29
The two xes after factoring.
No - only like radicals can be added.

17. What are the members or elements of a set?
IV
The objects within a set.
1/2 times 7/3
130pi

18. Length of an arc of a circle?
10! / 3!(10-3)! = 120
3/2 - 5/3
Angle/360 x 2(pi)r
10

19. Factor a^2 + 2ab + b^2
F(x) - c
An expression with just one term (-6x - 2a^2)
The direction of the inequality is reversed.
(a + b)^2

20. What is the intersection of A and B?
The set of elements found in both A and B.
y = 2x^2 - 3
A 30-60-90 triangle.
1/a^6

21. Simplify 9^(1/2) X 4^3 X 2^(-6)?
C = 2(pi)r
3
Triangles with same measure and same side lengths.
A central angle is an angle formed by 2 radii.

22. Surface area for a cylinder?
Triangles with same measure and same side lengths.
2(pi)r^2 + 2(pi)rh
No - the input value has exactly one output.
10! / (10-3)! = 720

23. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Its divisible by 2 and by 3.
An arc is a portion of a circumference of a circle.
13pi / 2
A grouping of the members within a set based on a shared characteristic.

24. Write 10 -843 X 10^7 in scientific notation
Relationship cannot be determined (what if x is negative?)
1.0843 X 10^11
...multiply by 100.
The objects within a set.

25. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
A reflection about the axis.
$3 -500 in the 9% and $2 -500 in the 7%.
2^9 / 2 = 256

26. x^4 + x^7 =
2 & 3/7
x^(4+7) = x^11
The empty set - denoted by a circle with a diagonal through it.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

27. 5/8 in percent?
62.5%
441000 = 1 10 10 10 21 * 21
3sqrt4
1.0843 X 10^11

28. How to determine percent increase?
Angle/360 x (pi)r^2
90pi
(amount of increase/original price) x 100%
1

29. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
Move the decimal point to the right x places
F(x) - c
N! / (k!)(n-k)!
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

30. The slope of a line perpendicular to (a/b)?
Its negative reciprocal. (-b/a)
Pi is the ratio of a circle'S circumference to its diameter.
Sqrt 12
10! / (10-3)! = 720

31. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
3
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A grouping of the members within a set based on a shared characteristic.
1 & 37/132

32. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
441000 = 1 10 10 10 21 * 21
Two angles whose sum is 90.
True

33. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
90 degrees
90
2 & 3/7
(a + b)^2

34. Which quadrant is the upper left hand?
The greatest value minus the smallest.
2sqrt6
(a - b)(a + b)
II

35. 40 < all primes<50
41 - 43 - 47
180
37.5%
...multiply by 100.

36. 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?
3/2 - 5/3
The set of input values for a function.
87.5%
441000 = 1 10 10 10 21 * 21

37. What is the ratio of the sides of a 30-60-90 triangle?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
1:sqrt3:2
1
20.5

38. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
8
A subset.
1.0843 X 10^11
2sqrt6

39. 50 < all primes< 60
72
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
53 - 59
27^(-4)

40. Define a 'Term' -
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
x^(4+7) = x^11
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)
1/a^6

41. Simplify the expression (p^2 - q^2)/ -5(q - p)
An angle which is supplementary to an interior angle.
From northeast - counterclockwise. I - II - III - IV
72
(p + q)/5

42. How many sides does a hexagon have?
2
9 : 25
6
48

43. What number between 70 & 75 - inclusive - has the greatest number of factors?
N! / (n-k)!
72
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1 & 37/132

44. How to find the diagonal of a rectangular solid?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Ax^2 + bx + c where a -b and c are constants and a /=0
x^(2(4)) =x^8 = (x^4)^2
.0004809 X 10^11

45. When the 'a' in the parabola is negative...
1/a^6
The curve opens downward and the vertex is the maximum point on the graph.
5 OR -5
A = pi(r^2)

46. 70 < all primes< 80
8
Indeterminable.
71 - 73 - 79
The third side is greater than the difference and less than the sum.

47. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
3sqrt4
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

48. Evaluate 4/11 + 11/12
12! / 5!7! = 792
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1 & 37/132
No - only like radicals can be added.

49. Formula to find a circle'S circumference from its diameter?
C = (pi)d
I
The third side is greater than the difference and less than the sum.
90pi

50. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
x(x - y + 1)
90
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)