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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. 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)]?
The longest arc between points A and B on a circle'S diameter.
The set of elements which can be found in either A or B.
True
II

2. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
A set with no members - denoted by a circle with a diagonal through it.
67 - 71 - 73
90
2

3. 1/8 in percent?
A subset.
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)
72
12.5%

4. What is a central angle?
A central angle is an angle formed by 2 radii.
The sum of digits is divisible by 9.
The overlapping sections.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

5. What is the 'Range' of a function?
5 OR -5
The set of output values for a function.
12.5%
No - only like radicals can be added.

6. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
A circle centered at -2 - -2 with radius 3.
2.592 kg
The direction of the inequality is reversed.

7. a^2 - 2ab + b^2
An isosceles right triangle.
0
(a - b)^2
C = (pi)d

8. What is the surface area of a cylinder with radius 5 and height 8?
27^(-4)
(b + c)
130pi
The greatest value minus the smallest.

9. What is the slope of a horizontal line?
90pi
0
75:11
An arc is a portion of a circumference of a circle.

10. Which quadrant is the upper right hand?
9 & 6/7
(amount of decrease/original price) x 100%
1/(x^y)
I

11. A number is divisible by 9 if...
4096
28. n = 8 - k = 2. n! / k!(n-k)!
53 - 59
The sum of digits is divisible by 9.

12. 2sqrt4 + sqrt4 =
3sqrt4
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
3/2 - 5/3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

13. What are the smallest three prime numbers greater than 65?
67 - 71 - 73
Sqrt 12
Two angles whose sum is 90.
4725

14. To convert a percent to a fraction....
11 - 13 - 17 - 19
The overlapping sections.
Divide by 100.
An angle which is supplementary to an interior angle.

15. a^0 =
1
11 - 13 - 17 - 19
2
1.7

16. Reduce: 4.8 : 0.8 : 1.6
(p + q)/5
No - the input value has exactly one output.
The shortest arc between points A and B on a circle'S diameter.
6 : 1 : 2

17. What does scientific notation mean?
8
The sum of digits is divisible by 9.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Angle/360 x 2(pi)r

18. Define a 'Term' -
(n-2) x 180
180
52
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)

19. What is the ratio of the sides of a 30-60-90 triangle?
Angle/360 x (pi)r^2
1:sqrt3:2
A tangent is a line that only touches one point on the circumference of a circle.
3

20. How to find the diagonal of a rectangular solid?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The greatest value minus the smallest.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The third side is greater than the difference and less than the sum.

21. Which quadrant is the upper left hand?
II
N! / (n-k)!
4725
1

22. Which is greater? 200x^295 or 10x^294?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Two angles whose sum is 90.
Factors are few - multiples are many.
Relationship cannot be determined (what if x is negative?)

23. What is the slope of a vertical line?

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24. 20<all primes<30
4725
23 - 29
x^(6-3) = x^3
61 - 67

25. What is the intersection of A and B?
C = (pi)d
All numbers multiples of 1.
The set of elements found in both A and B.
Undefined

26. Formula to find a circle'S circumference from its diameter?
(a + b)^2
(n-2) x 180
C = (pi)d
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

27. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
An angle which is supplementary to an interior angle.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A reflection about the origin.
12.5%

28. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
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)
10! / 3!(10-3)! = 120
A grouping of the members within a set based on a shared characteristic.
55%

29. What is a subset?
The set of input values for a function.
55%
28. n = 8 - k = 2. n! / k!(n-k)!
A grouping of the members within a set based on a shared characteristic.

30. How to determine percent decrease?
A set with no members - denoted by a circle with a diagonal through it.
7 / 1000
2sqrt6
(amount of decrease/original price) x 100%

31. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
288 (8 9 4)
Two angles whose sum is 90.
A set with no members - denoted by a circle with a diagonal through it.

32. Simplify (a^2 + b)^2 - (a^2 - b)^2
Ax^2 + bx + c where a -b and c are constants and a /=0
4a^2(b)
71 - 73 - 79
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

33. When the 'a' in a parabola is positive....
75:11
The curve opens upward and the vertex is the minimal point on the graph.
(n-2) x 180
55%

34. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(b + c)
The interesection of A and B.
II

35. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
28. n = 8 - k = 2. n! / k!(n-k)!
61 - 67
4:5
No - the input value has exactly one output.

36. 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
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Diameter(Pi)
N! / (n-k)!

37. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
(amount of decrease/original price) x 100%
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
4a^2(b)

38. What is the 'union' of A and B?
3 - -3
6
An isosceles right triangle.
The set of elements which can be found in either A or B.

39. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
.0004809 X 10^11
75:11

40. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
2.592 kg
y = (x + 5)/2
The sum of its digits is divisible by 3.
True

41. a^2 - b^2
A circle centered on the origin with radius 8.
(a - b)(a + b)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
III

42. (-1)^2 =
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.
1
I
No - the input value has exactly one output.

43. Define an 'expression'.
180
(a + b)^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)
1

44. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
20.5
An angle which is supplementary to an interior angle.
The empty set - denoted by a circle with a diagonal through it.

45. 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
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The sum of digits is divisible by 9.

46. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
1
x^(6-3) = x^3
4.25 - 6 - 22

47. What is the 'Solution' for a system of linear equations?
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.
The point of intersection of the systems.
A = I (1 + rt)
Sector area = (n/360) X (pi)r^2

48. 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?
16.6666%
9 & 6/7
$3 -500 in the 9% and $2 -500 in the 7%.
2

49. 3/8 in percent?
37.5%
The greatest value minus the smallest.
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)

50. 25^(1/2) or sqrt. 25 =
5 OR -5
72
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.
Factors are few - multiples are many.

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GRE Math: Common Errors

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