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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. Convert 0.7% to a fraction.
Sector area = (n/360) X (pi)r^2
441000 = 1 10 10 10 21 * 21
7 / 1000
3/2 - 5/3

2. Length of an arc of a circle?
Yes - like radicals can be added/subtracted.
Even
Angle/360 x 2(pi)r
1

3. What is a set with no members called?
Angle/360 x 2(pi)r
41 - 43 - 47
The empty set - denoted by a circle with a diagonal through it.
6 : 1 : 2

4. How many sides does a hexagon have?
6
28. n = 8 - k = 2. n! / k!(n-k)!
6 : 1 : 2
No - only like radicals can be added.

5. 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
1
The longest arc between points A and B on a circle'S diameter.
18
1

6. 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)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
4.25 - 6 - 22
F(x-c)
53 - 59

7. Formula for the area of a sector of a circle?
(p + q)/5
75:11
Sector area = (n/360) X (pi)r^2
2 & 3/7

8. (-1)^2 =
2(pi)r^2 + 2(pi)rh
Its negative reciprocal. (-b/a)
62.5%
1

9. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
Infinite.
1
Ax^2 + bx + c where a -b and c are constants and a /=0
10! / 3!(10-3)! = 120

10. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
12sqrt2
$11 -448
23 - 29
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.

11. What is the graph of f(x) shifted downward c units or spaces?
62.5%
4:5
F(x) - c
1/(x^y)

12. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The point of intersection of the systems.
Angle/360 x (pi)r^2

13. What are the smallest three prime numbers greater than 65?
F(x) - c
67 - 71 - 73
10! / (10-3)! = 720
Members or elements

14. Which quadrant is the upper left hand?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The set of elements found in both A and B.
1
II

15. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
IV
Part = Percent X Whole
2^9 / 2 = 256
1/a^6

16. If an inequality is multiplied or divided by a negative number....
75:11
The greatest value minus the smallest.
The direction of the inequality is reversed.
1/(x^y)

17. What is the formula for computing simple interest?
1
3sqrt4
No - the input value has exactly one output.
A = I (1 + rt)

18. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
28. n = 8 - k = 2. n! / k!(n-k)!
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
2(pi)r^2 + 2(pi)rh
A subset.

19. What are the irrational numbers?

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20. Simplify the expression (p^2 - q^2)/ -5(q - p)
Cd
52
(p + q)/5
288 (8 9 4)

21. 8.84 / 5.2
The curve opens upward and the vertex is the minimal point on the graph.
2
1.7
Undefined - because we can'T divide by 0.

22. Formula to find a circle'S circumference from its diameter?
The longest arc between points A and B on a circle'S diameter.
C = (pi)d
8
The empty set - denoted by a circle with a diagonal through it.

23. What is a central angle?
4725
The curve opens downward and the vertex is the maximum point on the graph.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A central angle is an angle formed by 2 radii.

24. Define an 'expression'.
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
Divide by 100.
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)
28. n = 8 - k = 2. n! / k!(n-k)!

25. 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).
41 - 43 - 47
...multiply by 100.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

26. (6sqrt3) x (2sqrt5) =
67 - 71 - 73
13pi / 2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Its divisible by 2 and by 3.

27. What is the ratio of the sides of an isosceles right triangle?
The curve opens upward and the vertex is the minimal point on the graph.
10! / (10-3)! = 720
2 & 3/7
1:1:sqrt2

28. When the 'a' in a parabola is positive....
(n-2) x 180
72
A chord is a line segment joining two points on a circle.
The curve opens upward and the vertex is the minimal point on the graph.

29. Describe the relationship between the graphs of x^2 and (1/2)x^2
7 / 1000
The steeper the slope.
1
The second graph is less steep.

30. To convert a decimal to a percent...
The longest arc between points A and B on a circle'S diameter.
...multiply by 100.
288 (8 9 4)
500

31. 1/6 in percent?
Relationship cannot be determined (what if x is negative?)
x(x - y + 1)
52
16.6666%

32. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
(a - b)(a + b)
72
28. n = 8 - k = 2. n! / k!(n-k)!

33. 20<all primes<30
23 - 29
The sum of digits is divisible by 9.
Its negative reciprocal. (-b/a)
9 & 6/7

34. How to find the circumference of a circle which circumscribes a square?
1
10! / (10-3)! = 720
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
12! / 5!7! = 792

35. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
288 (8 9 4)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
441000 = 1 10 10 10 21 * 21
13pi / 2

36. What is the formula for compounded interest?
70
23 - 29
75:11
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.

37. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
12! / 5!7! = 792
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)
4.25 - 6 - 22

38. Simplify the expression [(b^2 - c^2) / (b - c)]
A reflection about the axis.
10! / (10-3)! = 720
(b + c)
5

39. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
Undefined - because we can'T divide by 0.
The longest arc between points A and B on a circle'S diameter.
A set with a number of elements which can be counted.

40. What is the set of elements found in both A and B?
The interesection of A and B.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A 30-60-90 triangle.
72

41. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
Its divisible by 2 and by 3.
61 - 67
The sum of its digits is divisible by 3.

42. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
Move the decimal point to the right x places
2
52
0

43. What is a minor arc?

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44. What is an arc of a circle?
F(x) + c
An arc is a portion of a circumference of a circle.
70
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

45. 60 < all primes <70
61 - 67
3 - -3
1:1:sqrt2
87.5%

46. Can the input value of a function have more than one output value (i.e. x: y - y1)?
Members or elements
No - the input value has exactly one output.
The empty set - denoted by a circle with a diagonal through it.
12.5%

47. 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?
No - the input value has exactly one output.
The curve opens downward and the vertex is the maximum point on the graph.
A tangent is a line that only touches one point on the circumference of a circle.
10! / (10-3)! = 720

48. 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?
4a^2(b)
Pi is the ratio of a circle'S circumference to its diameter.
y = 2x^2 - 3
4725

49. 10<all primes<20
(base*height) / 2
3
11 - 13 - 17 - 19
The overlapping sections.

50. 4.809 X 10^7 =
.0004809 X 10^11
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a + b)^2
The overlapping sections.