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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 is the formula for computing simple interest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A = I (1 + rt)
4a^2(b)
4096

2. How to determine percent increase?
(amount of increase/original price) x 100%
3/2 - 5/3
The set of output values for a function.
F(x) - c

3. 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)]?
y = 2x^2 - 3
180 degrees
True
4096

4. 10<all primes<20
11 - 13 - 17 - 19
I
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...
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

5. What is the absolute value function?
All numbers multiples of 1.
G(x) = {x}
10! / 3!(10-3)! = 120
The greatest value minus the smallest.

6. 25^(1/2) or sqrt. 25 =
5 OR -5
(b + c)
41 - 43 - 47
52

7. Surface area for a cylinder?
2 & 3/7
An expression with just one term (-6x - 2a^2)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
2(pi)r^2 + 2(pi)rh

8. What is the sum of the angles of a triangle?
180
2^9 / 2 = 256
180 degrees
1:1:sqrt2

9. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
4.25 - 6 - 22
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. What is the ratio of the sides of a 30-60-90 triangle?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
90pi
1:sqrt3:2
441000 = 1 10 10 10 21 * 21

11. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Pi is the ratio of a circle'S circumference to its diameter.
G(x) = {x}
Lies opposite the greater angle
3

12. What is the 'Restricted domain of a function'?
The interesection of A and B.
The overlapping sections.
.0004809 X 10^11
When the function is not defined for all real numbers -; only a subset of the real numbers.

13. How many 3-digit positive integers are even and do not contain the digit 4?
288 (8 9 4)
12sqrt2
When the function is not defined for all real numbers -; only a subset of the real numbers.
1:1:sqrt2

14. 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?
10! / 3!(10-3)! = 120
All numbers multiples of 1.
52
Divide by 100.

15. When the 'a' in the parabola is negative...
1/a^6
The curve opens downward and the vertex is the maximum point on the graph.
2^9 / 2 = 256
3sqrt4

16. A number is divisible by 9 if...
12! / 5!7! = 792
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of digits is divisible by 9.
75:11

17. What is a parabola?
2.592 kg
Ax^2 + bx + c where a -b and c are constants and a /=0
6
Cd

18. 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))?
The set of output values for a function.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
(amount of decrease/original price) x 100%
20.5

19. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
Yes. [i.e. f(x) = x^2 - 1
288 (8 9 4)
C = (pi)d

20. What are congruent triangles?
A = I (1 + rt)
An isosceles right triangle.
13
Triangles with same measure and same side lengths.

21. Define an 'expression'.
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)
83.333%
70
61 - 67

22. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Area of the base X height = (pi)hr^2
(b + c)

23. Pi is a ratio of what to what?

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24. Which quadrant is the upper left hand?
0
F(x) + c
II
(a - b)(a + b)

25. 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?
Relationship cannot be determined (what if x is negative?)
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
48
II

26. 5/8 in percent?
1/(x^y)
62.5%
When the function is not defined for all real numbers -; only a subset of the real numbers.
1

27. What number between 70 & 75 - inclusive - has the greatest number of factors?
71 - 73 - 79
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
72
(a - b)^2

28. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
x^(4+7) = x^11
2 & 3/7
27^(-4)

29. What is an exterior angle?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A reflection about the origin.
An angle which is supplementary to an interior angle.
A tangent is a line that only touches one point on the circumference of a circle.

30. 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.
90 degrees
1
1
75:11

31. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
F(x-c)
Two angles whose sum is 180.
288 (8 9 4)
0

32. x^6 / x^3
An arc is a portion of a circumference of a circle.
75:11
9 & 6/7
x^(6-3) = x^3

33. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
x^(2(4)) =x^8 = (x^4)^2
A reflection about the origin.
48
A set with a number of elements which can be counted.

34. (x^2)^4
Cd
75:11
5 OR -5
x^(2(4)) =x^8 = (x^4)^2

35. (-1)^3 =
1
Area of the base X height = (pi)hr^2
A reflection about the axis.
Divide by 100.

36. To convert a decimal to a percent...
...multiply by 100.
10! / (10-3)! = 720
No - the input value has exactly one output.
I

37. What is the name of set with a number of elements which cannot be counted?
413.03 / 10^4 (move the decimal point 4 places to the left)
A = pi(r^2)
An infinite set.
When the function is not defined for all real numbers -; only a subset of the real numbers.

38. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
2 & 3/7
180 degrees
Factors are few - multiples are many.

39. x^4 + x^7 =
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)
A grouping of the members within a set based on a shared characteristic.
Area of the base X height = (pi)hr^2
x^(4+7) = x^11

40. Formula to calculate arc length?
Angle/360 x 2(pi)r
5
(amount of increase/original price) x 100%
Arc length = (n/360) x pi(2r) where n is the number of degrees.

41. Which quadrant is the lower left hand?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The steeper the slope.
.0004809 X 10^11
III

42. 30< all primes<40
The shortest arc between points A and B on a circle'S diameter.
31 - 37
y = (x + 5)/2
13

43. How to find the area of a sector?
Angle/360 x (pi)r^2
3sqrt4
20.5
Yes. [i.e. f(x) = x^2 - 1

44. Write 10 -843 X 10^7 in scientific notation
Diameter(Pi)
(base*height) / 2
1.0843 X 10^11
A central angle is an angle formed by 2 radii.

45. x^2 = 9. What is the value of x?
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...
13
The third side is greater than the difference and less than the sum.
3 - -3

46. Circumference of a circle?
Diameter(Pi)
0
x^(4+7) = x^11
The curve opens upward and the vertex is the minimal point on the graph.

47. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
A = pi(r^2)
Angle/360 x (pi)r^2
1.7
70

48. 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
90
72
18
(n-2) x 180

49. What is a chord of a circle?
441000 = 1 10 10 10 21 * 21
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
55%
A chord is a line segment joining two points on a circle.

50. Factor a^2 + 2ab + b^2
1
(a + b)^2
83.333%
Diameter(Pi)

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GRE Math: Common Errors

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