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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.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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. How to determine percent increase?
28. n = 8 - k = 2. n! / k!(n-k)!
67 - 71 - 73
23 - 29
(amount of increase/original price) x 100%

2. 40 < all primes<50
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
41 - 43 - 47
Diameter(Pi)

3. The larger the absolute value of the slope...
A reflection about the origin.
83.333%
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 steeper the slope.

4. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
.0004809 X 10^11
A circle centered at -2 - -2 with radius 3.
500
The second graph is less steep.

5. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
A = pi(r^2)
71 - 73 - 79
An angle which is supplementary to an interior angle.

6. 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?
1
The second graph is less steep.
1 & 37/132
52

7. Formula for the area of a sector of a circle?
II
Sector area = (n/360) X (pi)r^2
71 - 73 - 79
20.5

8. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
4.25 - 6 - 22
Two equal sides and two equal angles.
2
The curve opens downward and the vertex is the maximum point on the graph.

9. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Divide by 100.
90
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.
N! / (n-k)!

10. What is the 'Range' of a function?
1/2 times 7/3
90pi
3
The set of output values for a function.

11. What is the 'Restricted domain of a function'?
N! / (n-k)!
When the function is not defined for all real numbers -; only a subset of the real numbers.
75:11
12.5%

12. If the two sides of a triangle are unequal then the longer side...
4.25 - 6 - 22
12sqrt2
The longest arc between points A and B on a circle'S diameter.
Lies opposite the greater angle

13. What is the 'Solution' for a set of inequalities.
The overlapping sections.
From northeast - counterclockwise. I - II - III - IV
(a - b)(a + b)
1

14. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Lies opposite the greater angle
180
An isosceles right triangle.
Angle/360 x 2(pi)r

15. 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?
Its divisible by 2 and by 3.
90
55%
10! / 3!(10-3)! = 120

16. 1/2 divided by 3/7 is the same as
The sum of its digits is divisible by 3.
Members or elements
1/2 times 7/3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

17. What is an exterior angle?
An angle which is supplementary to an interior angle.
(a + b)^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
3/2 - 5/3

18. What is a central angle?
A central angle is an angle formed by 2 radii.
28. n = 8 - k = 2. n! / k!(n-k)!
2
2(pi)r^2 + 2(pi)rh

19. Length of an arc of a circle?
A chord is a line segment joining two points on a circle.
x^(2(4)) =x^8 = (x^4)^2
4725
Angle/360 x 2(pi)r

20. Define a 'monomial'
90 degrees
An expression with just one term (-6x - 2a^2)
6 : 1 : 2
10! / 3!(10-3)! = 120

21. What is the set of elements found in both A and B?
x^(4+7) = x^11
The interesection of A and B.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

22. What is the maximum value for the function g(x) = (-2x^2) -1?
1
(base*height) / 2
23 - 29
A reflection about the axis.

23. Which quadrant is the lower left hand?
The shortest arc between points A and B on a circle'S diameter.
3/2 - 5/3
III
10! / 3!(10-3)! = 120

24. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
90 degrees
From northeast - counterclockwise. I - II - III - IV
(n-2) x 180
1

25. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
70
2^9 / 2 = 256
(amount of decrease/original price) x 100%

26. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
3 - -3
C = 2(pi)r
Two equal sides and two equal angles.

27. What is the absolute value function?
Two angles whose sum is 180.
62.5%
When the function is not defined for all real numbers -; only a subset of the real numbers.
G(x) = {x}

28. What is the measure of an exterior angle of a regular pentagon?
Indeterminable.
The sum of digits is divisible by 9.
6
72

29. 7/8 in percent?
11 - 13 - 17 - 19
87.5%
67 - 71 - 73
Ax^2 + bx + c where a -b and c are constants and a /=0

30. Write 10 -843 X 10^7 in scientific notation
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
1.0843 X 10^11
3 - -3
Yes - like radicals can be added/subtracted.

31. How many 3-digit positive integers are even and do not contain the digit 4?
A tangent is a line that only touches one point on the circumference of a circle.
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 interesection of A and B.
288 (8 9 4)

32. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
180 degrees
C = 2(pi)r
A grouping of the members within a set based on a shared characteristic.

33. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
A set with no members - denoted by a circle with a diagonal through it.
1
(a + b)^2
.0004809 X 10^11

34. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1
The sum of digits is divisible by 9.
11 - 13 - 17 - 19

35. a^0 =
61 - 67
500
$11 -448
1

36. What are 'Supplementary angles?'
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.
The set of elements found in both A and B.
Two angles whose sum is 180.

37. What is the graph of f(x) shifted right c units or spaces?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
F(x-c)
9 : 25
0

38. What does scientific notation mean?
16.6666%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

39. Formula to find a circle'S circumference from its diameter?
Sector area = (n/360) X (pi)r^2
Cd
C = (pi)d
A tangent is a line that only touches one point on the circumference of a circle.

40. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
87.5%
13pi / 2
A circle centered on the origin with radius 8.
$3 -500 in the 9% and $2 -500 in the 7%.

41. 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?
(a + b)^2
288 (8 9 4)
10! / (10-3)! = 720
2sqrt6

42. What are complementary angles?
The objects within a set.
Two angles whose sum is 90.
F(x + c)
A circle centered at -2 - -2 with radius 3.

43. What is the slope of a vertical line?

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44. Describe the relationship between 3x^2 and 3(x - 1)^2
5
6
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
4725

45. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Part = Percent X Whole
An infinite set.
2sqrt6
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

46. Which is greater? 27^(-4) or 9^(-8)
3sqrt4
27^(-4)
55%
13pi / 2

47. What is a subset?
72
3sqrt4
A grouping of the members within a set based on a shared characteristic.
23 - 29

48. What is a minor arc?

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49. Solve the quadratic equation ax^2 + bx + c= 0
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
10
The greatest value minus the smallest.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

50. When does a function automatically have a restricted domain (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)
The set of output values for a function.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
1.0843 X 10^11

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GRE Math: Common Errors

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