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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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. 50 < all primes< 60
Its divisible by 2 and by 3.
53 - 59
55%
4.25 - 6 - 22

2. a^2 - 2ab + b^2
3sqrt4
(a - b)^2
441000 = 1 10 10 10 21 * 21
$11 -448

3. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
y = (x + 5)/2
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)
G(x) = {x}
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

4. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
I
y = (x + 5)/2
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

5. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
1.7
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The empty set - denoted by a circle with a diagonal through it.

6. What is the formula for computing simple interest?
A circle centered on the origin with radius 8.
441000 = 1 10 10 10 21 * 21
The empty set - denoted by a circle with a diagonal through it.
A = I (1 + rt)

7. What is a major arc?

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8. What are the roots of the quadrinomial x^2 + 2x + 1?
Undefined - because we can'T divide by 0.
11 - 13 - 17 - 19
The two xes after factoring.
(p + q)/5

9. P and r are factors of 100. What is greater - pr or 100?
A circle centered on the origin with radius 8.
1
Indeterminable.
Arc length = (n/360) x pi(2r) where n is the number of degrees.

10. Define a 'Term' -
The point of intersection of the systems.
1:sqrt3:2
52
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)

11. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Two angles whose sum is 180.
A reflection about the origin.
288 (8 9 4)
0

12. (-1)^3 =
A grouping of the members within a set based on a shared characteristic.
1
83.333%
F(x-c)

13. (6sqrt3) x (2sqrt5) =
4096
0
N! / (n-k)!
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

14. 0^0
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Members or elements
Undefined
23 - 29

15. a^2 - b^2
(a - b)(a + b)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The set of elements found in both A and B.
No - only like radicals can be added.

16. How many multiples does a given number have?
Ax^2 + bx + c where a -b and c are constants and a /=0
Infinite.
Even
1.0843 X 10^11

17. x^(-y)=
C = 2(pi)r
1/(x^y)
A chord is a line segment joining two points on a circle.
23 - 29

18. Formula for the area of a sector of a circle?
The second graph is less steep.
Sector area = (n/360) X (pi)r^2
x^(2(4)) =x^8 = (x^4)^2
4.25 - 6 - 22

19. Formula for the area of a circle?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
9 & 6/7
9 : 25
A = pi(r^2)

20. x^2 = 9. What is the value of x?
3 - -3
180 degrees
A reflection about the origin.
The set of elements which can be found in either A or B.

21. 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?
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...
$3 -500 in the 9% and $2 -500 in the 7%.
7 / 1000
180

22. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
1/a^6
(a - b)(a + b)
I

23. a^2 - b^2 =
48
(a - b)(a + b)
A 30-60-90 triangle.
Triangles with same measure and same side lengths.

24. x^6 / x^3
x^(6-3) = x^3
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of digits is divisible by 9.

25. Formula to find a circle'S circumference from its radius?
1
An expression with just one term (-6x - 2a^2)
C = 2(pi)r
A reflection about the origin.

26. What is a set with no members called?
90pi
(base*height) / 2
2.592 kg
The empty set - denoted by a circle with a diagonal through it.

27. If an inequality is multiplied or divided by a negative number....
A set with a number of elements which can be counted.
The direction of the inequality is reversed.
1
Triangles with same measure and same side lengths.

28. How to determine percent decrease?
The curve opens upward and the vertex is the minimal point on the graph.
(amount of decrease/original price) x 100%
All the numbers on the number line (negative - rational - irrational - decimal - integer). All the numbers on the GRE are real. (-2 - 1 - .25 - 1/2 - pi)
48

29. 1/8 in percent?
9 & 6/7
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
12.5%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

30. Volume for a cylinder?
Undefined - because we can'T divide by 0.
90
Area of the base X height = (pi)hr^2
The curve opens downward and the vertex is the maximum point on the graph.

31. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
y = 2x^2 - 3
A = pi(r^2)
Two angles whose sum is 180.
The curve opens downward and the vertex is the maximum point on the graph.

32. The objects in a set are called two names:
All numbers multiples of 1.
Members or elements
2 & 3/7
41 - 43 - 47

33. What is the 'Solution' for a system of linear equations?
x^(2(4)) =x^8 = (x^4)^2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
x^(4+7) = x^11
The point of intersection of the systems.

34. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
4096
(n-2) x 180
Angle/360 x (pi)r^2
12! / 5!7! = 792

35. 30< all primes<40
3
31 - 37
When the function is not defined for all real numbers -; only a subset of the real numbers.
Two angles whose sum is 180.

36. A number is divisible by 4 is...
Two angles whose sum is 180.
Its last two digits are divisible by 4.
500
A 30-60-90 triangle.

37. Circumference of a circle?
3
Divide by 100.
2 & 3/7
Diameter(Pi)

38. Factor x^2 - xy + x.
Its divisible by 2 and by 3.
x(x - y + 1)
True
A reflection about the axis.

39. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
... the square of the ratios of the corresponding sides.
A 30-60-90 triangle.
The point of intersection of the systems.

40. a^0 =
x= (1.2)(.8)lw
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
53 - 59

41. (-1)^2 =
IV
288 (8 9 4)
1
A reflection about the axis.

42. What does the graph x^2 + y^2 = 64 look like?
The second graph is less steep.
An angle which is supplementary to an interior angle.
A circle centered on the origin with radius 8.
13pi / 2

43. The slope of a line perpendicular to (a/b)?
The union of A and B.
(a + b)^2
Its negative reciprocal. (-b/a)
When the function is not defined for all real numbers -; only a subset of the real numbers.

44. Can you subtract 3sqrt4 from sqrt4?
From northeast - counterclockwise. I - II - III - IV
Yes - like radicals can be added/subtracted.
Two equal sides and two equal angles.
IV

45. What are congruent triangles?
0
A central angle is an angle formed by 2 radii.
Triangles with same measure and same side lengths.
N! / (n-k)!

46. 10^6 has how many zeroes?
87.5%
18
6
4.25 - 6 - 22

47. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A subset.
41 - 43 - 47
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 30-60-90 triangle.

48. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
No - only like radicals can be added.
A reflection about the axis.
2^9 / 2 = 256

49. What is the absolute value function?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The set of elements which can be found in either A or B.
G(x) = {x}
A reflection about the axis.

50. What is a minor arc?

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GRE Math: Common Errors

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