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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. Can you add sqrt 3 and sqrt 5?
4096
441000 = 1 10 10 10 21 * 21
(n-2) x 180
No - only like radicals can be added.

2. What percent of 40 is 22?
Divide by 100.
55%
67 - 71 - 73
Angle/360 x 2(pi)r

3. Legs 6 - 8. Hypotenuse?
75:11
10
1
(p + q)/5

4. Define a 'monomial'
2(pi)r^2 + 2(pi)rh
An expression with just one term (-6x - 2a^2)
An infinite set.
An isosceles right triangle.

5. 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?
11 - 13 - 17 - 19
10! / (10-3)! = 720
9 & 6/7
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

6. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
Infinite.
The union of A and B.
72

7. (-1)^2 =
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1
A chord is a line segment joining two points on a circle.
The sum of its digits is divisible by 3.

8. Evaluate (4^3)^2
4096
Area of the base X height = (pi)hr^2
...multiply by 100.
72

9. 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?
(a + b)^2
75:11
Area of the base X height = (pi)hr^2
20.5

10. Legs 5 - 12. Hypotenuse?
Sqrt 12
90pi
13
A = I (1 + rt)

11. 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?
8
9 : 25
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
70

12. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
Ax^2 + bx + c where a -b and c are constants and a /=0
N! / (k!)(n-k)!
x^(6-3) = x^3
90 degrees

13. Which is greater? 27^(-4) or 9^(-8)
7 / 1000
A central angle is an angle formed by 2 radii.
G(x) = {x}
27^(-4)

14. The perimeter of a square is 48 inches. The length of its diagonal is:
75:11
A 30-60-90 triangle.
12sqrt2
18

15. a^2 + 2ab + b^2
4096
(a + b)^2
The point of intersection of the systems.
70

16. What is the ratio of the sides of an isosceles right triangle?
4a^2(b)
The set of output values for a function.
1:1:sqrt2
A chord is a line segment joining two points on a circle.

17. How to find the area of a sector?
Divide by 100.
90
Angle/360 x (pi)r^2
1

18. (12sqrt15) / (2sqrt5) =
11 - 13 - 17 - 19
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The union of A and B.
90

19. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
x^(6-3) = x^3
(a + b)^2
True

20. How many multiples does a given number have?
An angle which is supplementary to an interior angle.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Angle/360 x (pi)r^2
Infinite.

21. The larger the absolute value of the slope...
1.0843 X 10^11
1
Relationship cannot be determined (what if x is negative?)
The steeper the slope.

22. Write 10 -843 X 10^7 in scientific notation
The third side is greater than the difference and less than the sum.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1.0843 X 10^11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

23. What are complementary angles?
Two angles whose sum is 90.
x^(2(4)) =x^8 = (x^4)^2
IV
55%

24. 20<all primes<30
An infinite set.
23 - 29
62.5%
Area of the base X height = (pi)hr^2

25. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
90pi
(p + q)/5
1/2 times 7/3

26. Evaluate 3& 2/7 / 1/3
9 & 6/7
III
1
3sqrt4

27. What is the 'Range' of a function?
The set of output values for a function.
1:1:sqrt2
52
An expression with just one term (-6x - 2a^2)

28. 5/6 in percent?
Even
The greatest value minus the smallest.
83.333%
(a - b)(a + b)

29. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
3 - -3
III
An isosceles right triangle.

30. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
4096
F(x) + c
1
61 - 67

31. What are the real numbers?
(p + q)/5
1
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)
Divide by 100.

32. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
48
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(a + b)^2

33. When does a function automatically have a restricted domain (2)?
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)
The interesection of A and B.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
27^(-4)

34. What is the sum of the angles of a triangle?
The set of elements which can be found in either A or B.
180 degrees
A central angle is an angle formed by 2 radii.
Infinite.

35. 7/8 in percent?
10! / 3!(10-3)! = 120
87.5%
Move the decimal point to the right x places
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

36. How many sides does a hexagon have?
An isosceles right triangle.
6
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)
x^(2(4)) =x^8 = (x^4)^2

37. What is a minor arc?

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38. What is a chord of a circle?
x^(4+7) = x^11
Triangles with same measure and same side lengths.
y = (x + 5)/2
A chord is a line segment joining two points on a circle.

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?
x(x - y + 1)
Two angles whose sum is 90.
441000 = 1 10 10 10 21 * 21
1

40. What is the ratio of the sides of a 30-60-90 triangle?
1:sqrt3:2
Its divisible by 2 and by 3.
An arc is a portion of a circumference of a circle.
48

41. 30< all primes<40
31 - 37
An isosceles right triangle.
180
A chord is a line segment joining two points on a circle.

42. What are the members or elements of a set?
The objects within a set.
10! / 3!(10-3)! = 120
Triangles with same measure and same side lengths.
x^(4+7) = x^11

43. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
2 & 3/7
20.5
9 : 25

44. Factor x^2 - xy + x.
.0004809 X 10^11
Yes - like radicals can be added/subtracted.
x(x - y + 1)
(n-2) x 180

45. x^4 + x^7 =
1 & 37/132
(amount of decrease/original price) x 100%
x^(4+7) = x^11
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.

46. a^2 - b^2 =
The set of elements which can be found in either A or B.
1/a^6
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a - b)(a + b)

47. 10^6 has how many zeroes?
90 degrees
55%
6
A 30-60-90 triangle.

48. What is the surface area of a cylinder with radius 5 and height 8?
67 - 71 - 73
27^(-4)
130pi
The shortest arc between points A and B on a circle'S diameter.

49. 2sqrt4 + sqrt4 =
12! / 5!7! = 792
II
The interesection of A and B.
3sqrt4

50. Can the output value of a function have more than one input value?
1/2 times 7/3
1
Yes - like radicals can be added/subtracted.
Yes. [i.e. f(x) = x^2 - 1

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GRE Math: Common Errors

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