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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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Match each statement with the correct term.
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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 does the graph x^2 + y^2 = 64 look like?
Pi is the ratio of a circle'S circumference to its diameter.
441000 = 1 10 10 10 21 * 21
5 OR -5
A circle centered on the origin with radius 8.

2. a^2 - b^2 =
(a - b)(a + b)
Undefined
3/2 - 5/3
x= (1.2)(.8)lw

3. What is an exterior angle?
An angle which is supplementary to an interior angle.
3
55%
61 - 67

4. Evaluate (4^3)^2
...multiply by 100.
4096
The longest arc between points A and B on a circle'S diameter.
52

5. What is a set with no members called?
A central angle is an angle formed by 2 radii.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The empty set - denoted by a circle with a diagonal through it.
C = 2(pi)r

6. Convert 0.7% to a fraction.
(a - b)^2
90
The sum of its digits is divisible by 3.
7 / 1000

7. What is a central angle?
The sum of digits is divisible by 9.
The objects within a set.
A central angle is an angle formed by 2 radii.
180

8. Legs 5 - 12. Hypotenuse?
1/a^6
The curve opens upward and the vertex is the minimal point on the graph.
Its negative reciprocal. (-b/a)
13

9. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
9 : 25
3
A grouping of the members within a set based on a shared characteristic.

10. What are the members or elements of a set?
1:sqrt3:2
Triangles with same measure and same side lengths.
Two angles whose sum is 90.
The objects within a set.

11. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
52
The set of input values for a function.
2.592 kg
$3 -500 in the 9% and $2 -500 in the 7%.

12. Formula to find a circle'S circumference from its radius?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
9 & 6/7
C = 2(pi)r

13. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
41 - 43 - 47
C = 2(pi)r
Ax^2 + bx + c where a -b and c are constants and a /=0

14. 25^(1/2) or sqrt. 25 =
5 OR -5
No - the input value has exactly one output.
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)
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

15. What is the measure of an exterior angle of a regular pentagon?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
10
72
x= (1.2)(.8)lw

16. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
10
True
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)
F(x + c)

17. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
1
1/(x^y)
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)
90

18. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
F(x + c)
12sqrt2
1/(x^y)
90 degrees

19. What is the 'Restricted domain of a function'?
10
1.0843 X 10^11
When the function is not defined for all real numbers -; only a subset of the real numbers.
90 degrees

20. 5/8 in percent?
62.5%
180 degrees
87.5%
Sqrt 12

21. What is the 'domain' of a function?
The set of input values for a function.
87.5%
Part = Percent X Whole
4725

22. What are the integers?
13pi / 2
All numbers multiples of 1.
Its last two digits are divisible by 4.
The greatest value minus the smallest.

23. x^2 = 9. What is the value of x?
6
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
20.5
3 - -3

24. 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?
8
A subset.
y = 2x^2 - 3
0

25. What are the irrational numbers?

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26. Describe the relationship between the graphs of x^2 and (1/2)x^2
1
Area of the base X height = (pi)hr^2
The second graph is less steep.
The two xes after factoring.

27. 5/6 in percent?
A grouping of the members within a set based on a shared characteristic.
83.333%
IV
A 30-60-90 triangle.

28. 70 < all primes< 80
x= (1.2)(.8)lw
1/a^6
71 - 73 - 79
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

29. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The empty set - denoted by a circle with a diagonal through it.
Factors are few - multiples are many.
2.592 kg

30. What is the 'union' of A and B?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of its digits is divisible by 3.
The set of elements which can be found in either A or B.
3

31. Number of degrees in a triangle
3sqrt4
1.0843 X 10^11
180
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...

32. How to find the diagonal of a rectangular solid?
90 degrees
II
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

33. What is the 'Range' of a series of numbers?
The set of output values for a function.
F(x) + c
The greatest value minus the smallest.
(p + q)/5

34. What is a piecewise equation?
The steeper the slope.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1/(x^y)
48

35. 1/2 divided by 3/7 is the same as
20.5
1/2 times 7/3
62.5%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

36. 10^6 has how many zeroes?
The curve opens upward and the vertex is the minimal point on the graph.
90 degrees
13pi / 2
6

37. 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 30-60-90 triangle.
(a - b)^2
27^(-4)

38. 4.809 X 10^7 =
.0004809 X 10^11
4a^2(b)
The steeper the slope.
The set of input values for a function.

39. P and r are factors of 100. What is greater - pr or 100?
Two angles whose sum is 180.
A circle centered on the origin with radius 8.
48
Indeterminable.

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?
(a + b)^2
The greatest value minus the smallest.
500
1

41. 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?
IV
5 OR -5
$3 -500 in the 9% and $2 -500 in the 7%.
The set of input values for a function.

42. What is the slope of a horizontal line?
The second graph is less steep.
0
16.6666%
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

43. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
(p + q)/5
3 - -3
The curve opens downward and the vertex is the maximum point on the graph.
An isosceles right triangle.

44. A number is divisible by 6 if...
Indeterminable.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Its divisible by 2 and by 3.
180 degrees

45. A number is divisible by 9 if...
(a - b)(a + b)
The sum of digits is divisible by 9.
1:1:sqrt2
Divide by 100.

46. How to find the circumference of a circle which circumscribes a square?
No - the input value has exactly one output.
Its last two digits are divisible by 4.
From northeast - counterclockwise. I - II - III - IV
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

47. What is a minor arc?

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48. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
13pi / 2
True
Members or elements

49. Simplify the expression (p^2 - q^2)/ -5(q - p)
4:5
3
(p + q)/5
20.5

50. (12sqrt15) / (2sqrt5) =
2sqrt6
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Relationship cannot be determined (what if x is negative?)
A grouping of the members within a set based on a shared characteristic.

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GRE Math: Common Errors

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