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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. Can the output value of a function have more than one input value?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Yes. [i.e. f(x) = x^2 - 1
The curve opens downward and the vertex is the maximum point on the graph.
A set with no members - denoted by a circle with a diagonal through it.

2. (6sqrt3) x (2sqrt5) =
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
130pi
7 / 1000

3. 50 < all primes< 60
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
53 - 59
Diameter(Pi)
Indeterminable.

4. Evaluate 3& 2/7 / 1/3
9 & 6/7
A central angle is an angle formed by 2 radii.
Pi is the ratio of a circle'S circumference to its diameter.
Lies opposite the greater angle

5. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
13
4725
A circle centered on the origin with radius 8.
Triangles with same measure and same side lengths.

6. Formula for the area of a circle?
2sqrt6
Triangles with same measure and same side lengths.
A = pi(r^2)
A set with no members - denoted by a circle with a diagonal through it.

7. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
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
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)
A reflection about the axis.
An isosceles right triangle.

8. 40 < all primes<50
12.5%
Its last two digits are divisible by 4.
41 - 43 - 47
Members or elements

9. If the two sides of a triangle are unequal then the longer side...
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
III
Lies opposite the greater angle
10! / (10-3)! = 720

10. 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?
10! / (10-3)! = 720
y = (x + 5)/2
The set of elements found in both A and B.
No - only like radicals can be added.

11. Formula to find a circle'S circumference from its radius?
61 - 67
C = 2(pi)r
Two angles whose sum is 180.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

12. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
Pi is the ratio of a circle'S circumference to its diameter.
y = 2x^2 - 3
1

13. Number of degrees in a triangle
The shortest arc between points A and B on a circle'S diameter.
83.333%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
180

14. What is the surface area of a cylinder with radius 5 and height 8?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1/a^6
130pi
A chord is a line segment joining two points on a circle.

15. 6w^2 - w - 15 = 0
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
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...
3/2 - 5/3

16. What are the integers?
C = 2(pi)r
1.0843 X 10^11
288 (8 9 4)
All numbers multiples of 1.

17. Legs 5 - 12. Hypotenuse?
A tangent is a line that only touches one point on the circumference of a circle.
13
x^(6-3) = x^3
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

18. A number is divisible by 3 if ...
72
Undefined
F(x-c)
The sum of its digits is divisible by 3.

19. 5x^2 - 35x -55 = 0
Arc length = (n/360) x pi(2r) where n is the number of degrees.
87.5%
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
61 - 67

20. Reduce: 4.8 : 0.8 : 1.6
10! / (10-3)! = 720
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1/(x^y)
6 : 1 : 2

21. 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?
90
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...
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)

22. How to find the area of a sector?
Angle/360 x (pi)r^2
0
Part = Percent X Whole
The union of A and B.

23. x^2 = 9. What is the value of x?
A grouping of the members within a set based on a shared characteristic.
1
71 - 73 - 79
3 - -3

24. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
An expression with just one term (-6x - 2a^2)
Divide by 100.
x^(6-3) = x^3

25. What is the 'Solution' for a set of inequalities.
(a - b)^2
The overlapping sections.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Two angles whose sum is 180.

26. (-1)^3 =
Undefined - because we can'T divide by 0.
4a^2(b)
1
67 - 71 - 73

27. What is an isoceles triangle?
Two equal sides and two equal angles.
Divide by 100.
6 : 1 : 2
A subset.

28. How many sides does a hexagon have?
(a - b)(a + b)
41 - 43 - 47
6
1.0843 X 10^11

29. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
70
41 - 43 - 47
The set of input values for a function.

30. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
x^(6-3) = x^3
0
y = (x + 5)/2
1

31. What is a major arc?

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32. What is the ratio of the sides of a 30-60-90 triangle?
A reflection about the axis.
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)
III
1:sqrt3:2

33. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
The curve opens downward and the vertex is the maximum point on the graph.
61 - 67
C = (pi)d

34. Define a 'monomial'
1
An expression with just one term (-6x - 2a^2)
55%
41 - 43 - 47

35. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
4a^2(b)
2^9 / 2 = 256
(amount of increase/original price) x 100%
Arc length = (n/360) x pi(2r) where n is the number of degrees.

36. What is the formula for computing simple interest?
An arc is a portion of a circumference of a circle.
Triangles with same measure and same side lengths.
II
A = I (1 + rt)

37. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
70
2.592 kg
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
8

38. Length of an arc of a circle?
12! / 5!7! = 792
The direction of the inequality is reversed.
Angle/360 x 2(pi)r
8

39. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
3 - -3
13pi / 2
Angle/360 x (pi)r^2

40. Evaluate (4^3)^2
6
4096
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Divide by 100.

41. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
83.333%
An angle which is supplementary to an interior angle.
C = 2(pi)r

42. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
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.
1
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

43. Define a 'Term' -
The objects within a set.
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)
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)
20.5

44. What is a tangent?
A circle centered at -2 - -2 with radius 3.
A tangent is a line that only touches one point on the circumference of a circle.
I
y = 2x^2 - 3

45. Formula to find a circle'S circumference from its diameter?
1:1:sqrt2
The set of output values for a function.
52
C = (pi)d

46. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
1
41 - 43 - 47
... the square of the ratios of the corresponding sides.
8

47. 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).
Divide by 100.
8
23 - 29

48. 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?
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
$3 -500 in the 9% and $2 -500 in the 7%.
A reflection about the origin.
Divide by 100.

49. What is the maximum value for the function g(x) = (-2x^2) -1?
70
The objects within a set.
1
(p + q)/5

50. What is the name for a grouping of the members within a set based on a shared characteristic?
10
x^(6-3) = x^3
A subset.
6

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GRE Math: Common Errors

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