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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. Area of a triangle?
(base*height) / 2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A chord is a line segment joining two points on a circle.
413.03 / 10^4 (move the decimal point 4 places to the left)

2. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Divide by 100.
(a + b)^2
4725
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

3. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
37.5%
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

4. If an inequality is multiplied or divided by a negative number....
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Angle/360 x (pi)r^2
The direction of the inequality is reversed.
Indeterminable.

5. 5x^2 - 35x -55 = 0
Arc length = (n/360) x pi(2r) where n is the number of degrees.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
4:5

6. If the two sides of a triangle are unequal then the longer side...
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
Lies opposite the greater angle
The greatest value minus the smallest.
2.592 kg

7. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
Two angles whose sum is 90.
2^9 / 2 = 256
90

8. Surface area for a cylinder?
16.6666%
The two xes after factoring.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
2(pi)r^2 + 2(pi)rh

9. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
... the square of the ratios of the corresponding sides.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
441000 = 1 10 10 10 21 * 21

10. 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.
(base*height) / 2
From northeast - counterclockwise. I - II - III - IV
441000 = 1 10 10 10 21 * 21

11. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
41 - 43 - 47
10! / 3!(10-3)! = 120
A reflection about the axis.
4.25 - 6 - 22

12. 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?
75:11
90
1 & 37/132
61 - 67

13. Can you add sqrt 3 and sqrt 5?
x(x - y + 1)
16.6666%
1/2 times 7/3
No - only like radicals can be added.

14. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
Cd
500
Relationship cannot be determined (what if x is negative?)
11 - 13 - 17 - 19

15. a^2 - b^2
413.03 / 10^4 (move the decimal point 4 places to the left)
Members or elements
8
(a - b)(a + b)

16. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
Two angles whose sum is 180.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
67 - 71 - 73

17. What are the smallest three prime numbers greater than 65?
No - the input value has exactly one output.
x^(2(4)) =x^8 = (x^4)^2
67 - 71 - 73
From northeast - counterclockwise. I - II - III - IV

18. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Part = Percent X Whole
2
A reflection about the origin.
The objects within a set.

19. Convert 0.7% to a fraction.
7 / 1000
Sqrt 12
180
(a + b)^2

20. What does the graph x^2 + y^2 = 64 look like?
All numbers multiples of 1.
41 - 43 - 47
A circle centered on the origin with radius 8.
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

21. 40 < all primes<50
Diameter(Pi)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
41 - 43 - 47
Part = Percent X Whole

22. The objects in a set are called two names:
An expression with just one term (-6x - 2a^2)
10! / 3!(10-3)! = 120
Sector area = (n/360) X (pi)r^2
Members or elements

23. What is a parabola?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
x^(4+7) = x^11
The curve opens downward and the vertex is the maximum point on the graph.
Ax^2 + bx + c where a -b and c are constants and a /=0

24. Is 0 even or odd?
41 - 43 - 47
Even
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
90 degrees

25. x^(-y)=
A reflection about the axis.
4:5
No - only like radicals can be added.
1/(x^y)

26. What is an isoceles triangle?
3sqrt4
Two equal sides and two equal angles.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Divide by 100.

27. Legs 6 - 8. Hypotenuse?
5 OR -5
10! / (10-3)! = 720
The set of output values for a function.
10

28. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
(amount of increase/original price) x 100%
13
The curve opens upward and the vertex is the minimal point on the graph.

29. What is a central angle?
A central angle is an angle formed by 2 radii.
1/(x^y)
A circle centered on the origin with radius 8.
.0004809 X 10^11

30. Factor x^2 - xy + x.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
x(x - y + 1)
1
(a + b)^2

31. What number between 70 & 75 - inclusive - has the greatest number of factors?
y = 2x^2 - 3
Members or elements
72
12! / 5!7! = 792

32. (-1)^2 =
.0004809 X 10^11
1
The greatest value minus the smallest.
The third side is greater than the difference and less than the sum.

33. (-1)^3 =
1
The longest arc between points A and B on a circle'S diameter.
0
(p + q)/5

34. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
1 & 37/132
3/2 - 5/3
From northeast - counterclockwise. I - II - III - IV

35. What are the integers?
All numbers multiples of 1.
(amount of increase/original price) x 100%
Pi is the ratio of a circle'S circumference to its diameter.
(a + b)^2

36. 5/6 in percent?
2.592 kg
83.333%
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
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)

37. A number is divisible by 9 if...
3
2sqrt6
52
The sum of digits is divisible by 9.

38. What is the graph of f(x) shifted upward c units or spaces?
90pi
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
F(x) + c
x^(2(4)) =x^8 = (x^4)^2

39. 10<all primes<20
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)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(n-2) x 180
11 - 13 - 17 - 19

40. Which quadrant is the upper right hand?
I
A chord is a line segment joining two points on a circle.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A tangent is a line that only touches one point on the circumference of a circle.

41. 3/8 in percent?
Two angles whose sum is 180.
(b + c)
55%
37.5%

42. Formula to calculate arc length?
Cd
27^(-4)
(a + b)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

43. 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?
90
52
1
83.333%

44. What are complementary angles?
62.5%
x^(6-3) = x^3
Two angles whose sum is 90.
2sqrt6

45. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
2(pi)r^2 + 2(pi)rh
F(x) - c
12! / 5!7! = 792
4a^2(b)

46. 2sqrt4 + sqrt4 =
4:5
3sqrt4
A = pi(r^2)
5 OR -5

47. Circumference of a circle?
Diameter(Pi)
9 & 6/7
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Infinite.

48. Evaluate 4/11 + 11/12
1 & 37/132
72
The curve opens downward and the vertex is the maximum point on the graph.
1

49. What is the slope of a vertical line?

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50. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
x^(4+7) = x^11
A chord is a line segment joining two points on a circle.
No - the input value has exactly one output.