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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. 6w^2 - w - 15 = 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
3/2 - 5/3
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.
A 30-60-90 triangle.

2. What is a subset?
72
83.333%
A set with a number of elements which can be counted.
A grouping of the members within a set based on a shared characteristic.

3. a^0 =
Its divisible by 2 and by 3.
9 : 25
1
10! / (10-3)! = 720

4. 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?
3sqrt4
An angle which is supplementary to an interior angle.
180
52

5. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
All numbers multiples of 1.
4:5
3
1:1:sqrt2

6. 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?
441000 = 1 10 10 10 21 * 21
A grouping of the members within a set based on a shared characteristic.
(a - b)(a + b)
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

7. A number is divisible by 6 if...
Its divisible by 2 and by 3.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
48
A subset.

8. What are complementary angles?
(n-2) x 180
Factors are few - multiples are many.
A = pi(r^2)
Two angles whose sum is 90.

9. Find the surface area of a cylinder with radius 3 and height 12.
90pi
4.25 - 6 - 22
(a - b)(a + b)
1/2 times 7/3

10. What is the ratio of the sides of an isosceles right triangle?
The longest arc between points A and B on a circle'S diameter.
87.5%
1
1:1:sqrt2

11. What percent of 40 is 22?
55%
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(a - b)^2

12. What is the formula for computing simple interest?
4.25 - 6 - 22
The steeper the slope.
70
A = I (1 + rt)

13. How to find the circumference of a circle which circumscribes a square?
71 - 73 - 79
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
55%
Members or elements

14. Formula of rectangle where l increases by 20% and w decreases by 20%
F(x + c)
x= (1.2)(.8)lw
1:1:sqrt2
3sqrt4

15. 413.03 x 10^(-4) =
(a - b)^2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
413.03 / 10^4 (move the decimal point 4 places to the left)

16. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
0
72
48

17. Which is greater? 200x^295 or 10x^294?
27^(-4)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
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.
Relationship cannot be determined (what if x is negative?)

18. Which quadrant is the upper right hand?
(a - b)(a + b)
I
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
1

19. Surface area for a cylinder?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2(pi)r^2 + 2(pi)rh
An arc is a portion of a circumference of a circle.
75:11

20. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
1/2 times 7/3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
I

21. x^(-y)=
A subset.
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)
1/(x^y)
I

22. What is the 'Range' of a series of numbers?
48
x(x - y + 1)
The greatest value minus the smallest.
90 degrees

23. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Cd
Angle/360 x 2(pi)r
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
2 & 3/7

24. Convert 0.7% to a fraction.
3 - -3
1 & 37/132
7 / 1000
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

25. 20<all primes<30
10! / 3!(10-3)! = 120
23 - 29
9 : 25
2

26. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
x(x - y + 1)
(a - b)(a + b)
An isosceles right triangle.
10! / 3!(10-3)! = 120

27. (-1)^3 =
6
4a^2(b)
1
90

28. What is the graph of f(x) shifted upward c units or spaces?
67 - 71 - 73
1
F(x) + c
Two angles whose sum is 90.

29. What is the graph of f(x) shifted right c units or spaces?
The steeper the slope.
.0004809 X 10^11
F(x-c)
The longest arc between points A and B on a circle'S diameter.

30. A number is divisible by 3 if ...
62.5%
The sum of its digits is divisible by 3.
4a^2(b)
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)

31. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
II
4a^2(b)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

32. What are the irrational numbers?

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33. What is the 'Solution' for a system of linear equations?
2.592 kg
2 & 3/7
13
The point of intersection of the systems.

34. 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
10! / (10-3)! = 720
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A chord is a line segment joining two points on a circle.

35. 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?
All numbers multiples of 1.
An infinite set.
10! / (10-3)! = 720
90 degrees

36. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
4:5
The steeper the slope.
A subset.

37. In a regular polygon with n sides - the formula for the sum of interior angles
(n-2) x 180
The curve opens downward and the vertex is the maximum point on the graph.
No - only like radicals can be added.
53 - 59

38. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
F(x-c)
True
A 30-60-90 triangle.
III

39. The slope of a line perpendicular to (a/b)?
1.7
0
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)
Its negative reciprocal. (-b/a)

40. 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?
The direction of the inequality is reversed.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(b + c)
500

41. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
Its divisible by 2 and by 3.
Factors are few - multiples are many.
1
N! / (n-k)!

42. Legs 6 - 8. Hypotenuse?
20.5
Angle/360 x 2(pi)r
10
Members or elements

43. Evaluate 4/11 + 11/12
90
The direction of the inequality is reversed.
1 & 37/132
1/(x^y)

44. 7/8 in percent?
An expression with just one term (-6x - 2a^2)
The set of elements found in both A and B.
87.5%
N! / (k!)(n-k)!

45. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
18
y = 2x^2 - 3
x^(2(4)) =x^8 = (x^4)^2

46. Area of a triangle?
(base*height) / 2
3
2
... the square of the ratios of the corresponding sides.

47. Can the input value of a function have more than one output value (i.e. x: y - y1)?
3sqrt4
(b + c)
No - the input value has exactly one output.
(amount of increase/original price) x 100%

48. Define a 'monomial'
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
An expression with just one term (-6x - 2a^2)
A subset.
When the function is not defined for all real numbers -; only a subset of the real numbers.

49. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
5 OR -5
Divide by 100.
4725

50. 60 < all primes <70
61 - 67
87.5%
1/(x^y)
An isosceles right triangle.