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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. 10^6 has how many zeroes?
6
37.5%
12sqrt2
8

2. What is a tangent?
13pi / 2
1
5 OR -5
A tangent is a line that only touches one point on the circumference of a circle.

3. Evaluate (4^3)^2
(n-2) x 180
A circle centered on the origin with radius 8.
4096
The sum of digits is divisible by 9.

4. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
An isosceles right triangle.
1
90
F(x) + c

5. (-1)^3 =
180
Sector area = (n/360) X (pi)r^2
1
All numbers multiples of 1.

6. What are the irrational numbers?

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7. What is the measure of an exterior angle of a regular pentagon?
52
72
28. n = 8 - k = 2. n! / k!(n-k)!
75:11

8. Simplify the expression [(b^2 - c^2) / (b - c)]
2sqrt6
31 - 37
1:sqrt3:2
(b + c)

9. Which quandrant is the lower right hand?
IV
Yes - like radicals can be added/subtracted.
2^9 / 2 = 256
Undefined

10. 60 < all primes <70
A set with a number of elements which can be counted.
61 - 67
18
Infinite.

11. Formula of rectangle where l increases by 20% and w decreases by 20%
... the square of the ratios of the corresponding sides.
x= (1.2)(.8)lw
1
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)

12. Pi is a ratio of what to what?

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13. 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
55%
(a - b)(a + b)
0

14. What is a parabola?
y = (x + 5)/2
Factors are few - multiples are many.
Ax^2 + bx + c where a -b and c are constants and a /=0
55%

15. Whats the difference between factors and multiples?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
4096
Factors are few - multiples are many.
5

16. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Pi is the ratio of a circle'S circumference to its diameter.
$11 -448
4725
13

17. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
III
12.5%
An isosceles right triangle.

18. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
No - only like radicals can be added.
130pi
13pi / 2
x^(4+7) = x^11

19. 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?
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)
1
$3 -500 in the 9% and $2 -500 in the 7%.
180

20. What is the graph of f(x) shifted downward c units or spaces?
55%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
F(x) - c

21. What are the real numbers?
1/2 times 7/3
... the square of the ratios of the corresponding sides.
180 degrees
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)

22. What is the graph of f(x) shifted upward c units or spaces?
3
Relationship cannot be determined (what if x is negative?)
13
F(x) + c

23. What is the absolute value function?
G(x) = {x}
The greatest value minus the smallest.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

24. What is the empty set?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1
2
A set with no members - denoted by a circle with a diagonal through it.

25. Define an 'expression'.
Area of the base X height = (pi)hr^2
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)
500
4:5

26. 5/6 in percent?
Lies opposite the greater angle
83.333%
N! / (k!)(n-k)!
F(x-c)

27. What is the slope of a horizontal line?
61 - 67
Two angles whose sum is 180.
0
A grouping of the members within a set based on a shared characteristic.

28. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Two equal sides and two equal angles.
A 30-60-90 triangle.
A set with a number of elements which can be counted.
4096

29. What is a piecewise equation?
72
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Indeterminable.
413.03 / 10^4 (move the decimal point 4 places to the left)

30. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
From northeast - counterclockwise. I - II - III - IV
A reflection about the origin.
Area of the base X height = (pi)hr^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

31. What is the formula for compounded interest?
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= 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.
y = (x + 5)/2
The point of intersection of the systems.

32. 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?
F(x + c)
500
Divide by 100.
The set of input values for a function.

33. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
4a^2(b)
True
A circle centered on the origin with radius 8.

34. 20<all primes<30
3/2 - 5/3
23 - 29
A circle centered on the origin with radius 8.
Factors are few - multiples are many.

35. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
F(x + c)
A = I (1 + rt)
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)

36. What is a finite set?
(amount of decrease/original price) x 100%
2.592 kg
A set with a number of elements which can be counted.
48

37. 70 < all primes< 80
2(pi)r^2 + 2(pi)rh
13
90
71 - 73 - 79

38. x^2 = 9. What is the value of x?
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...
Its last two digits are divisible by 4.
3 - -3
2(pi)r^2 + 2(pi)rh

39. The slope of a line perpendicular to (a/b)?
All numbers multiples of 1.
Its negative reciprocal. (-b/a)
(amount of decrease/original price) x 100%
A tangent is a line that only touches one point on the circumference of a circle.

40. Which quadrant is the lower left hand?
4725
37.5%
III
12! / 5!7! = 792

41. What is the 'Range' of a function?
Factors are few - multiples are many.
1.0843 X 10^11
180
The set of output values for a function.

42. Find the surface area of a cylinder with radius 3 and height 12.
Indeterminable.
90pi
41 - 43 - 47
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

43. 30< all primes<40
413.03 / 10^4 (move the decimal point 4 places to the left)
31 - 37
Undefined - because we can'T divide by 0.
All numbers multiples of 1.

44. 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?
2^9 / 2 = 256
The set of input values for a function.
Members or elements
52

45. Formula to find a circle'S circumference from its diameter?
C = (pi)d
(a + b)^2
The sum of digits is divisible by 9.
(a - b)^2

46. Convert 0.7% to a fraction.
(a - b)(a + b)
7 / 1000
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
When the function is not defined for all real numbers -; only a subset of the real numbers.

47. 5x^2 - 35x -55 = 0
A 30-60-90 triangle.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3/2 - 5/3
0

48. What is an arc of a circle?
An arc is a portion of a circumference of a circle.
Ax^2 + bx + c where a -b and c are constants and a /=0
52
(a - b)(a + b)

49. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
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...
A set with a number of elements which can be counted.
0

50. Area of a triangle?
Angle/360 x 2(pi)r
55%
2(pi)r^2 + 2(pi)rh
(base*height) / 2