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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. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
500
2sqrt6
... the square of the ratios of the corresponding sides.
F(x) + c

2. 10<all primes<20
Part = Percent X Whole
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
9 & 6/7
11 - 13 - 17 - 19

3. How to find the area of a sector?
Angle/360 x (pi)r^2
True
18
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

4. What is the set of elements found in both A and B?
The interesection of A and B.
The two xes after factoring.
10! / 3!(10-3)! = 120
90pi

5. What is a piecewise equation?
From northeast - counterclockwise. I - II - III - IV
1
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
No - only like radicals can be added.

6. Find the surface area of a cylinder with radius 3 and height 12.
(n-2) x 180
The union of A and B.
1/(x^y)
90pi

7. 1/8 in percent?
12.5%
6
180
(a - b)(a + b)

8. Number of degrees in a triangle
180
1
72
The sum of digits is divisible by 9.

9. What is the side length of an equilateral triangle with altitude 6?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Relationship cannot be determined (what if x is negative?)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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...

10. 8.84 / 5.2
An angle which is supplementary to an interior angle.
1.7
31 - 37
(a - b)(a + b)

11. Formula for the area of a sector of a circle?
Pi is the ratio of a circle'S circumference to its diameter.
Sector area = (n/360) X (pi)r^2
413.03 / 10^4 (move the decimal point 4 places to the left)
90 degrees

12. What is the formula for computing simple interest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Two angles whose sum is 90.
(amount of decrease/original price) x 100%
A = I (1 + rt)

13. 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
Members or elements
Two angles whose sum is 90.
The steeper the slope.

14. 5/8 in percent?
10
62.5%
C = (pi)d
x(x - y + 1)

15. A number is divisible by 4 is...
1/2 times 7/3
Its last two digits are divisible by 4.
441000 = 1 10 10 10 21 * 21
...multiply by 100.

16. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
The second graph is less steep.
1
The shortest arc between points A and B on a circle'S diameter.

17. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
(amount of decrease/original price) x 100%
4725
Two angles whose sum is 90.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

18. a^2 - 2ab + b^2
The longest arc between points A and B on a circle'S diameter.
C = 2(pi)r
(a - b)^2
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

19. What is the 'Range' of a function?
Two angles whose sum is 180.
10! / (10-3)! = 720
The longest arc between points A and B on a circle'S diameter.
The set of output values for a function.

20. What percent of 40 is 22?
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
1
Factors are few - multiples are many.
55%

21. Can you add sqrt 3 and sqrt 5?
(a + b)^2
23 - 29
A grouping of the members within a set based on a shared characteristic.
No - only like radicals can be added.

22. Circumference of a circle?
.0004809 X 10^11
The shortest arc between points A and B on a circle'S diameter.
Diameter(Pi)
9 : 25

23. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The third side is greater than the difference and less than the sum.
3sqrt4
1
Area of the base X height = (pi)hr^2

24. What are congruent triangles?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
Triangles with same measure and same side lengths.
A central angle is an angle formed by 2 radii.
No - the input value has exactly one output.

25. What are the irrational numbers?

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26. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
12.5%
A circle centered at -2 - -2 with radius 3.
A subset.
1

27. 5x^2 - 35x -55 = 0
4096
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The set of elements which can be found in either A or B.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

28. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
4096
(n-2) x 180
52

29. 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?
Relationship cannot be determined (what if x is negative?)
75:11
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)
4.25 - 6 - 22

30. Evaluate 4/11 + 11/12
4.25 - 6 - 22
A = I (1 + rt)
1 & 37/132
A grouping of the members within a set based on a shared characteristic.

31. What does scientific notation mean?
87.5%
1
An arc is a portion of a circumference of a circle.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

32. 1/6 in percent?
41 - 43 - 47
16.6666%
90
288 (8 9 4)

33. What is the graph of f(x) shifted left c units or spaces?
441000 = 1 10 10 10 21 * 21
F(x + c)
C = (pi)d
Its divisible by 2 and by 3.

34. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
Its divisible by 2 and by 3.
4096
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

35. 0^0
Undefined
The set of elements found in both A and B.
F(x) + c
The empty set - denoted by a circle with a diagonal through it.

36. 20<all primes<30
48
An angle which is supplementary to an interior angle.
23 - 29
180 degrees

37. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
Divide by 100.
A chord is a line segment joining two points on a circle.
The third side is greater than the difference and less than the sum.

38. What is a subset?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
5
A grouping of the members within a set based on a shared characteristic.
$11 -448

39. sqrt 2(sqrt 6)=
70
Sqrt 12
(base*height) / 2
The curve opens upward and the vertex is the minimal point on the graph.

40. (-1)^2 =
62.5%
1 & 37/132
41 - 43 - 47
1

41. P and r are factors of 100. What is greater - pr or 100?
Its divisible by 2 and by 3.
A = pi(r^2)
28. n = 8 - k = 2. n! / k!(n-k)!
Indeterminable.

42. Whats the difference between factors and multiples?
1
12sqrt2
Factors are few - multiples are many.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

43. 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)
No - only like radicals can be added.
0
4.25 - 6 - 22
2^9 / 2 = 256

44. What is the 'Solution' for a system of linear equations?
Divide by 100.
The point of intersection of the systems.
A reflection about the axis.
... the square of the ratios of the corresponding sides.

45. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
9 : 25
The curve opens upward and the vertex is the minimal point on the graph.
The empty set - denoted by a circle with a diagonal through it.
.0004809 X 10^11

46. 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?
10! / (10-3)! = 720
N! / (k!)(n-k)!
20.5
No - only like radicals can be added.

47. Legs 6 - 8. Hypotenuse?
12.5%
10
A reflection about the origin.
A set with a number of elements which can be counted.

48. What is the surface area of a cylinder with radius 5 and height 8?
(a - b)^2
130pi
(n-2) x 180
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

49. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
F(x + c)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Members or elements

50. To convert a decimal to a percent...
An infinite set.
Angle/360 x (pi)r^2
...multiply by 100.
(a + b)^2