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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. The perimeter of a square is 48 inches. The length of its diagonal is:
(a - b)(a + b)
12sqrt2
N! / (k!)(n-k)!
72

2. 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).
Two equal sides and two equal angles.
0
Triangles with same measure and same side lengths.

3. 25^(1/2) or sqrt. 25 =
A 30-60-90 triangle.
53 - 59
5 OR -5
Relationship cannot be determined (what if x is negative?)

4. What is a minor arc?

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5. What is the set of elements found in both A and B?
The shortest arc between points A and B on a circle'S diameter.
(b + c)
1/(x^y)
The interesection of A and B.

6. Factor x^2 - xy + x.
4096
x(x - y + 1)
2
52

7. 2sqrt4 + sqrt4 =
A = I (1 + rt)
3sqrt4
C = 2(pi)r
2.592 kg

8. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
A = pi(r^2)
A set with no members - denoted by a circle with a diagonal through it.
IV

9. 1/6 in percent?
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...
1/(x^y)
16.6666%
Lies opposite the greater angle

10. Formula to calculate arc length?
Undefined - because we can'T divide by 0.
N! / (k!)(n-k)!
Relationship cannot be determined (what if x is negative?)
Arc length = (n/360) x pi(2r) where n is the number of degrees.

11. What are congruent triangles?
0
Triangles with same measure and same side lengths.
441000 = 1 10 10 10 21 * 21
Two equal sides and two equal angles.

12. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
Triangles with same measure and same side lengths.
C = 2(pi)r
N! / (k!)(n-k)!

13. What is an isoceles triangle?
Two equal sides and two equal angles.
2
A subset.
A set with a number of elements which can be counted.

14. (-1)^3 =
A 30-60-90 triangle.
The curve opens upward and the vertex is the minimal point on the graph.
1
x^(4+7) = x^11

15. What is the 'Range' of a function?
1/(x^y)
The set of output values for a function.
90 degrees
1 & 37/132

16. What is the name of set with a number of elements which cannot be counted?
Indeterminable.
(a + b)^2
An infinite set.
An angle which is supplementary to an interior angle.

17. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(n-2) x 180
(a + b)^2

18. a^2 - b^2
1/a^6
(b + c)
(a - b)(a + b)
F(x + c)

19. 20<all primes<30
23 - 29
Area of the base X height = (pi)hr^2
31 - 37
2^9 / 2 = 256

20. Surface area for a cylinder?
2(pi)r^2 + 2(pi)rh
2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
413.03 / 10^4 (move the decimal point 4 places to the left)

21. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
The objects within a set.
27^(-4)
37.5%

22. 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?
A set with a number of elements which can be counted.
10! / (10-3)! = 720
(b + c)
3sqrt4

23. Legs 5 - 12. Hypotenuse?
Undefined - because we can'T divide by 0.
13
The curve opens upward and the vertex is the minimal point on the graph.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

24. What is an exterior 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...
An angle which is supplementary to an interior angle.
N! / (n-k)!
The set of output values for a function.

25. What are the irrational numbers?

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26. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Infinite.
The second graph is less steep.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
1

27. x^4 + x^7 =
A chord is a line segment joining two points on a circle.
Ax^2 + bx + c where a -b and c are constants and a /=0
x^(4+7) = x^11
70

28. What is the slope of a vertical line?

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29. To convert a percent to a fraction....
x^(2(4)) =x^8 = (x^4)^2
Divide by 100.
31 - 37
37.5%

30. 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?
The empty set - denoted by a circle with a diagonal through it.
III
The point of intersection of the systems.
441000 = 1 10 10 10 21 * 21

31. 3/8 in percent?
3
37.5%
A circle centered at -2 - -2 with radius 3.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

32. 70 < all primes< 80
18
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)
2.592 kg
71 - 73 - 79

33. Max and Min lengths for a side of a triangle?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Indeterminable.
Its last two digits are divisible by 4.
The third side is greater than the difference and less than the sum.

34. 6w^2 - w - 15 = 0
3/2 - 5/3
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
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)

35. The slope of a line perpendicular to (a/b)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The second graph is less steep.
A = I (1 + rt)
Its negative reciprocal. (-b/a)

36. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
The sum of its digits is divisible by 3.
90 degrees
The empty set - denoted by a circle with a diagonal through it.
Indeterminable.

37. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
The interesection of A and B.
9 & 6/7
N! / (k!)(n-k)!
1

38. What is the name for a grouping of the members within a set based on a shared characteristic?
The steeper the slope.
A subset.
37.5%
Triangles with same measure and same side lengths.

39. Write 10 -843 X 10^7 in scientific notation
52
1.0843 X 10^11
1.7
The set of input values for a function.

40. 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 & 6/7
9 : 25
0
(p + q)/5

41. What is the order of operations?
A central angle is an angle formed by 2 radii.
The empty set - denoted by a circle with a diagonal through it.
Move the decimal point to the right x places
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

42. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
All numbers multiples of 1.
413.03 / 10^4 (move the decimal point 4 places to the left)

43. What is a tangent?
Undefined
1/2 times 7/3
2sqrt6
A tangent is a line that only touches one point on the circumference of a circle.

44. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
1/(x^y)
20.5

45. 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.
y = (x + 5)/2
Move the decimal point to the right x places
61 - 67

46. 10<all primes<20
11 - 13 - 17 - 19
x= (1.2)(.8)lw
6
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

47. What is a set with no members called?
288 (8 9 4)
The empty set - denoted by a circle with a diagonal through it.
9 & 6/7
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

48. Can the output value of a function have more than one input value?
180
(p + q)/5
Yes. [i.e. f(x) = x^2 - 1
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)

49. What is the sum of the angles of a triangle?
180 degrees
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
27^(-4)
70

50. What is a major arc?

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