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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. What is the set of elements found in both A and B?
Two angles whose sum is 180.
48
The interesection of A and B.
Its last two digits are divisible by 4.

2. a^2 - b^2
The set of input values for a function.
The set of output values for a function.
(a - b)(a + b)
2(pi)r^2 + 2(pi)rh

3. 1/8 in percent?
12.5%
1:1:sqrt2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
0

4. Legs 5 - 12. Hypotenuse?
The curve opens upward and the vertex is the minimal point on the graph.
A central angle is an angle formed by 2 radii.
130pi
13

5. What is a parabola?
75:11
Two angles whose sum is 180.
Ax^2 + bx + c where a -b and c are constants and a /=0
52

6. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
4096
An infinite set.
4:5

7. Length of an arc of a circle?
x(x - y + 1)
(n-2) x 180
Indeterminable.
Angle/360 x 2(pi)r

8. Order of quadrants:
Move the decimal point to the right x places
... the square of the ratios of the corresponding sides.
From northeast - counterclockwise. I - II - III - IV
41 - 43 - 47

9. What is a central angle?
The two xes after factoring.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A central angle is an angle formed by 2 radii.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

10. What is an isoceles triangle?
1.0843 X 10^11
Two equal sides and two equal angles.
A set with a number of elements which can be counted.
The overlapping sections.

11. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
II
1
288 (8 9 4)

12. What is the 'union' of A and B?
Part = Percent X Whole
The set of elements which can be found in either A or B.
The interesection of A and B.
The point of intersection of the systems.

13. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
F(x) - c
A 30-60-90 triangle.
x^(4+7) = x^11
1:sqrt3:2

14. What is an arc of a circle?
The curve opens upward and the vertex is the minimal point on the graph.
87.5%
Relationship cannot be determined (what if x is negative?)
An arc is a portion of a circumference of a circle.

15. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
F(x) + c
55%
C = (pi)d

16. What is the 'Restricted domain of a function'?
When the function is not defined for all real numbers -; only a subset of the real numbers.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The overlapping sections.
x^(6-3) = x^3

17. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Its divisible by 2 and by 3.
28. n = 8 - k = 2. n! / k!(n-k)!
4:5
The curve opens upward and the vertex is the minimal point on the graph.

18. What is the surface area of a cylinder with radius 5 and height 8?
The sum of its digits is divisible by 3.
180 degrees
y = 2x^2 - 3
130pi

19. What is an exterior angle?
A central angle is an angle formed by 2 radii.
1
The set of input values for a function.
An angle which is supplementary to an interior angle.

20. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
4a^2(b)
The curve opens upward and the vertex is the minimal point on the graph.
3sqrt4
1

21. What is the sum of the angles of a triangle?
F(x-c)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
180 degrees
True

22. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
No - only like radicals can be added.
90pi
12! / 5!7! = 792

23. If an inequality is multiplied or divided by a negative number....
IV
The direction of the inequality is reversed.
Two angles whose sum is 180.
A circle centered on the origin with radius 8.

24. Find the surface area of a cylinder with radius 3 and height 12.
(a - b)(a + b)
A set with a number of elements which can be counted.
61 - 67
90pi

25. 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?
y = (x + 5)/2
(amount of increase/original price) x 100%
The two xes after factoring.
9 : 25

26. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
23 - 29
48
An infinite set.
62.5%

27. What is the graph of f(x) shifted right c units or spaces?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A reflection about the axis.
F(x-c)
16.6666%

28. What is a tangent?
The interesection of A and B.
A tangent is a line that only touches one point on the circumference of a circle.
Area of the base X height = (pi)hr^2
87.5%

29. What are 'Supplementary angles?'
1
Two angles whose sum is 180.
4.25 - 6 - 22
Even

30. What is the slope of a horizontal line?
When the function is not defined for all real numbers -; only a subset of the real numbers.
0
Angle/360 x 2(pi)r
The objects within a set.

31. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
Yes - like radicals can be added/subtracted.
The interesection of A and B.
2^9 / 2 = 256
31 - 37

32. Can you subtract 3sqrt4 from sqrt4?
Area of the base X height = (pi)hr^2
2.592 kg
Yes - like radicals can be added/subtracted.
(a + b)^2

33. Volume for a cylinder?
A subset.
1
3sqrt4
Area of the base X height = (pi)hr^2

34. 50 < all primes< 60
1:sqrt3:2
90 degrees
The sum of digits is divisible by 9.
53 - 59

35. 8.84 / 5.2
1.7
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
10! / (10-3)! = 720
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

36. 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
True
1
Sqrt 12

37. How many sides does a hexagon have?
6
2sqrt6
Lies opposite the greater angle
83.333%

38. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
90 degrees
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The set of elements found in both A and B.

39. 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?
1/2 times 7/3
441000 = 1 10 10 10 21 * 21
A grouping of the members within a set based on a shared characteristic.
Two angles whose sum is 90.

40. What are the irrational numbers?

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41. What is the graph of f(x) shifted downward c units or spaces?
Triangles with same measure and same side lengths.
(amount of decrease/original price) x 100%
3sqrt4
F(x) - c

42. a^2 - b^2 =
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
41 - 43 - 47
(a - b)(a + b)
A circle centered at -2 - -2 with radius 3.

43. Simplify the expression (p^2 - q^2)/ -5(q - p)
x^(6-3) = x^3
x= (1.2)(.8)lw
(p + q)/5
N! / (k!)(n-k)!

44. A number is divisible by 9 if...
The sum of digits is divisible by 9.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
18
1:sqrt3:2

45. What are the integers?
All numbers multiples of 1.
90pi
9 : 25
1

46. What is the ratio of the sides of a 30-60-90 triangle?
18
An arc is a portion of a circumference of a circle.
1:sqrt3:2
52

47. What is the 'domain' of a function?
The set of input values for a function.
A chord is a line segment joining two points on a circle.
The empty set - denoted by a circle with a diagonal through it.
4725

48. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
72
2 & 3/7
The set of output values for a function.
4:5

49. Surface area for a cylinder?
A set with no members - denoted by a circle with a diagonal through it.
2(pi)r^2 + 2(pi)rh
13pi / 2
Angle/360 x 2(pi)r

50. 7/8 in percent?
87.5%
The overlapping sections.
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)
75:11