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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. 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)?
No - only like radicals can be added.
y = (x + 5)/2
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)
The set of output values for a function.

2. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
(a - b)(a + b)
Cd
1
87.5%

3. Evaluate 3& 2/7 / 1/3
The steeper the slope.
The greatest value minus the smallest.
413.03 / 10^4 (move the decimal point 4 places to the left)
9 & 6/7

4. sqrt 2(sqrt 6)=
Sqrt 12
A circle centered on the origin with radius 8.
16.6666%
x= (1.2)(.8)lw

5. 3/8 in percent?
An isosceles right triangle.
C = 2(pi)r
37.5%
(n-2) x 180

6. a^2 - b^2
The empty set - denoted by a circle with a diagonal through it.
(a - b)(a + b)
$3 -500 in the 9% and $2 -500 in the 7%.
1/(x^y)

7. What is the 'Solution' for a set of inequalities.
The overlapping sections.
75:11
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
An isosceles right triangle.

8. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
.0004809 X 10^11
(base*height) / 2
...multiply by 100.
4725

9. What is an arc of a circle?
37.5%
An arc is a portion of a circumference of a circle.
83.333%
A = pi(r^2)

10. When the 'a' in a parabola is positive....
130pi
The curve opens upward and the vertex is the minimal point on the graph.
The overlapping sections.
A central angle is an angle formed by 2 radii.

11. Simplify (a^2 + b)^2 - (a^2 - b)^2
180 degrees
4a^2(b)
A reflection about the axis.
A central angle is an angle formed by 2 radii.

12. Legs 6 - 8. Hypotenuse?
III
10
1:1:sqrt2
(p + q)/5

13. How many sides does a hexagon have?
(a + b)^2
A reflection about the axis.
Even
6

14. (12sqrt15) / (2sqrt5) =
10! / 3!(10-3)! = 120
10! / (10-3)! = 720
441000 = 1 10 10 10 21 * 21
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

15. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
The set of input values for a function.
4.25 - 6 - 22
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
2.592 kg

16. Legs: 3 - 4. Hypotenuse?
A tangent is a line that only touches one point on the circumference of a circle.
Angle/360 x (pi)r^2
Its divisible by 2 and by 3.
5

17. x^4 + x^7 =
Pi is the ratio of a circle'S circumference to its diameter.
441000 = 1 10 10 10 21 * 21
F(x + c)
x^(4+7) = x^11

18. Legs 5 - 12. Hypotenuse?
C = (pi)d
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A chord is a line segment joining two points on a circle.
13

19. Simplify the expression [(b^2 - c^2) / (b - c)]
9 & 6/7
Members or elements
(b + c)
413.03 / 10^4 (move the decimal point 4 places to the left)

20. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
II
90pi
90
27^(-4)

21. How many 3-digit positive integers are even and do not contain the digit 4?
71 - 73 - 79
Two angles whose sum is 180.
Sqrt 12
288 (8 9 4)

22. Which quadrant is the lower left hand?
10! / (10-3)! = 720
III
90
x(x - y + 1)

23. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
71 - 73 - 79
0
1
6

24. What are 'Supplementary angles?'
2sqrt6
1/2 times 7/3
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.

25. x^2 = 9. What is the value of x?
3 - -3
Relationship cannot be determined (what if x is negative?)
Lies opposite the greater angle
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

26. What is the maximum value for the function g(x) = (-2x^2) -1?
4725
90 degrees
1
Angle/360 x (pi)r^2

27. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
The curve opens upward and the vertex is the minimal point on the graph.
The greatest value minus the smallest.
90 degrees
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

28. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The overlapping sections.
52
Pi is the ratio of a circle'S circumference to its diameter.

29. Factor x^2 - xy + x.
1
x(x - y + 1)
The direction of the inequality is reversed.
Area of the base X height = (pi)hr^2

30. 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?
4725
Sector area = (n/360) X (pi)r^2
2.592 kg
9 & 6/7

31. To multiply a number by 10^x
The curve opens downward and the vertex is the maximum point on the graph.
...multiply by 100.
Move the decimal point to the right x places
From northeast - counterclockwise. I - II - III - IV

32. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
The union of A and B.
90 degrees
5 OR -5

33. What is the intersection of A and B?
The set of elements found in both A and B.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Relationship cannot be determined (what if x is negative?)
Part = Percent X Whole

34. Length of an arc of a circle?
The direction of the inequality is reversed.
A = I (1 + rt)
10
Angle/360 x 2(pi)r

35. 5/6 in percent?
6
83.333%
The objects within a set.
2sqrt6

36. Whats the difference between factors and multiples?
Factors are few - multiples are many.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A grouping of the members within a set based on a shared characteristic.
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...

37. What are the irrational numbers?

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38. What is a minor arc?

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39. 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?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Angle/360 x 2(pi)r
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
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

40. a^0 =
9 & 6/7
The sum of digits is divisible by 9.
1/(x^y)
1

41. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1 & 37/132
The longest arc between points A and B on a circle'S diameter.
The third side is greater than the difference and less than the sum.
1

42. (-1)^3 =
13
1
Cd
.0004809 X 10^11

43. 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?
11 - 13 - 17 - 19
When the function is not defined for all real numbers -; only a subset of the real numbers.
$3 -500 in the 9% and $2 -500 in the 7%.
Lies opposite the greater angle

44. In a regular polygon with n sides - the formula for the sum of interior angles
An expression with just one term (-6x - 2a^2)
N! / (k!)(n-k)!
F(x) - c
(n-2) x 180

45. 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?
Pi is the ratio of a circle'S circumference to its diameter.
441000 = 1 10 10 10 21 * 21
(p + q)/5
18

46. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
3
Diameter(Pi)
A set with a number of elements which can be counted.

47. What are the integers?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
288 (8 9 4)
All numbers multiples of 1.
... the square of the ratios of the corresponding sides.

48. If an inequality is multiplied or divided by a negative number....
90 degrees
The direction of the inequality is reversed.
No - only like radicals can be added.
All numbers multiples of 1.

49. The larger the absolute value of the slope...
...multiply by 100.
The overlapping sections.
x(x - y + 1)
The steeper the slope.

50. 7/8 in percent?
III
(p + q)/5
87.5%
10! / 3!(10-3)! = 120