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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 are congruent triangles?
9 : 25
C = (pi)d
Triangles with same measure and same side lengths.
0

2. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
288 (8 9 4)
F(x + c)
... the square of the ratios of the corresponding sides.
A reflection about the origin.

3. How to determine percent increase?
67 - 71 - 73
The objects within a set.
(amount of increase/original price) x 100%
A circle centered on the origin with radius 8.

4. A number is divisible by 3 if ...
I
C = (pi)d
G(x) = {x}
The sum of its digits is divisible by 3.

5. (-1)^3 =
20.5
2^9 / 2 = 256
I
1

6. The ratio of the areas of two similar polygons is ...
... the square of the ratios of the corresponding sides.
The curve opens upward and the vertex is the minimal point on the graph.
y = 2x^2 - 3
(a - b)(a + b)

7. 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?
y = 2x^2 - 3
3 - -3
The union of A and B.
1:1:sqrt2

8. Can you subtract 3sqrt4 from sqrt4?
13
Move the decimal point to the right x places
6 : 1 : 2
Yes - like radicals can be added/subtracted.

9. 70 < all primes< 80
When the function is not defined for all real numbers -; only a subset of the real numbers.
(a - b)^2
71 - 73 - 79
Yes - like radicals can be added/subtracted.

10. Legs: 3 - 4. Hypotenuse?
5
Divide by 100.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
0

11. Convert 0.7% to a fraction.
An infinite set.
Divide by 100.
7 / 1000
Angle/360 x (pi)r^2

12. What is an isoceles triangle?
Two equal sides and two equal angles.
3
Part = Percent X Whole
The steeper the slope.

13. Formula to find a circle'S circumference from its diameter?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
C = (pi)d
Infinite.
4a^2(b)

14. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
No - only like radicals can be added.
A grouping of the members within a set based on a shared characteristic.
90
6 : 1 : 2

15. What is the graph of f(x) shifted left c units or spaces?
5 OR -5
F(x + c)
90
37.5%

16. When the 'a' in a parabola is positive....
The curve opens upward and the vertex is the minimal point on the graph.
Two angles whose sum is 90.
Sqrt 12
75:11

17. 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?
The second graph is less steep.
10! / (10-3)! = 720
2(pi)r^2 + 2(pi)rh
Cd

18. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Undefined
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)
Diameter(Pi)
1

19. What are 'Supplementary angles?'
(p + q)/5
(a + b)^2
Two angles whose sum is 180.
... the square of the ratios of the corresponding sides.

20. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
Sector area = (n/360) X (pi)r^2
4a^2(b)
52
8

21. 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?
90 degrees
288 (8 9 4)
An angle which is supplementary to an interior angle.
48

22. What is the area of a regular hexagon with side 6?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
G(x) = {x}

23. How to find the area of a sector?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Its negative reciprocal. (-b/a)
Angle/360 x (pi)r^2
Divide by 100.

24. What is the formula for compounded interest?
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
III
71 - 73 - 79

25. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
7 / 1000
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

26. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The union of A and B.
4725
37.5%
0

27. What is the maximum value for the function g(x) = (-2x^2) -1?
83.333%
1
13pi / 2
The empty set - denoted by a circle with a diagonal through it.

28. What is the percent formula?
Part = Percent X Whole
True
(a - b)(a + b)
Factors are few - multiples are many.

29. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
x^(2(4)) =x^8 = (x^4)^2
N! / (n-k)!
3 - -3
Triangles with same measure and same side lengths.

30. What are the integers?
x^(4+7) = x^11
62.5%
All numbers multiples of 1.
7 / 1000

31. Which quadrant is the upper right hand?
16.6666%
The curve opens downward and the vertex is the maximum point on the graph.
I
y = (x + 5)/2

32. Find the surface area of a cylinder with radius 3 and height 12.
90pi
Infinite.
3/2 - 5/3
0

33. 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?
Sector area = (n/360) X (pi)r^2
When the function is not defined for all real numbers -; only a subset of the real numbers.
500
7 / 1000

34. The objects in a set are called two names:
A set with no members - denoted by a circle with a diagonal through it.
Members or elements
16.6666%
(base*height) / 2

35. sqrt 2(sqrt 6)=
12! / 5!7! = 792
Diameter(Pi)
Sqrt 12
Divide by 100.

36. 5x^2 - 35x -55 = 0
... the square of the ratios of the corresponding sides.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A reflection about the origin.
1 & 37/132

37. What is the side length of an equilateral triangle with altitude 6?
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...
The steeper the slope.
10
Part = Percent X Whole

38. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
The two xes after factoring.
3sqrt4
The steeper the slope.

39. 413.03 x 10^(-4) =
The empty set - denoted by a circle with a diagonal through it.
The overlapping sections.
11 - 13 - 17 - 19
413.03 / 10^4 (move the decimal point 4 places to the left)

40. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
4725
(a - b)(a + b)
An isosceles right triangle.
A circle centered at -2 - -2 with radius 3.

41. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
500
90 degrees
A 30-60-90 triangle.
Part = Percent X Whole

42. 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
72
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Undefined

43. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
F(x + c)
4:5
28. n = 8 - k = 2. n! / k!(n-k)!
6 : 1 : 2

44. Which quandrant is the lower right hand?
8
IV
28. n = 8 - k = 2. n! / k!(n-k)!
1

45. What is a tangent?
0
A tangent is a line that only touches one point on the circumference of a circle.
A reflection about the origin.
Angle/360 x (pi)r^2

46. In a regular polygon with n sides - the formula for the sum of interior angles
500
(n-2) x 180
9 & 6/7
1/(x^y)

47. Max and Min lengths for a side of a triangle?
90pi
4:5
1
The third side is greater than the difference and less than the sum.

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?
130pi
10! / (10-3)! = 720
$3 -500 in the 9% and $2 -500 in the 7%.
Triangles with same measure and same side lengths.

49. What is a subset?
Its last two digits are divisible by 4.
A grouping of the members within a set based on a shared characteristic.
(a + b)^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

50. Can the input value of a function have more than one output value (i.e. x: y - y1)?
37.5%
5
No - the input value has exactly one output.
1/(x^y)

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GRE Math: Common Errors

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