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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
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. 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...
441000 = 1 10 10 10 21 * 21
Two angles whose sum is 90.
Sector area = (n/360) X (pi)r^2

2. What is the slope of a vertical line?

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3. Max and Min lengths for a side of a triangle?
90pi
The third side is greater than the difference and less than the sum.
75:11
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

4. What is a chord of a circle?
2 & 3/7
A chord is a line segment joining two points on a circle.
31 - 37
.0004809 X 10^11

5. 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?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A set with no members - denoted by a circle with a diagonal through it.
y = (x + 5)/2
y = 2x^2 - 3

6. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
72
1 & 37/132
28. n = 8 - k = 2. n! / k!(n-k)!
5

7. 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?
From northeast - counterclockwise. I - II - III - IV
9 : 25
1
Angle/360 x 2(pi)r

8. a^0 =
1.7
180 degrees
1
The direction of the inequality is reversed.

9. 1/6 in percent?
N! / (k!)(n-k)!
The third side is greater than the difference and less than the sum.
(n-2) x 180
16.6666%

10. To multiply a number by 10^x
Move the decimal point to the right x places
x^(4+7) = x^11
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
Angle/360 x 2(pi)r

11. What is the 'Solution' for a system of linear equations?
IV
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...
9 & 6/7
The point of intersection of the systems.

12. 7/8 in percent?
A = I (1 + rt)
87.5%
Angle/360 x (pi)r^2
The interesection of A and B.

13. The objects in a set are called two names:
53 - 59
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Members or elements
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

14. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
3
90pi
An arc is a portion of a circumference of a circle.
$11 -448

15. Simplify 9^(1/2) X 4^3 X 2^(-6)?
Its negative reciprocal. (-b/a)
3
The set of input values for a function.
Cd

16. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
1 & 37/132
20.5
1/a^6

17. What is an arc of a circle?
...multiply by 100.
2^9 / 2 = 256
Undefined
An arc is a portion of a circumference of a circle.

18. 5x^2 - 35x -55 = 0
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The longest arc between points A and B on a circle'S diameter.
(a - b)(a + b)
II

19. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
1/(x^y)
61 - 67
8
130pi

20. Which quandrant is the lower right hand?
(a + b)^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.
IV
Two equal sides and two equal angles.

21. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
4725
500
An infinite set.
x^(2(4)) =x^8 = (x^4)^2

22. Find the surface area of a cylinder with radius 3 and height 12.
The set of elements found in both A and B.
90pi
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...
27^(-4)

23. Simplify the expression [(b^2 - c^2) / (b - c)]
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 square of the ratios of the corresponding sides.
(b + c)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

24. 6w^2 - w - 15 = 0
$11 -448
3/2 - 5/3
The shortest arc between points A and B on a circle'S diameter.
(n-2) x 180

25. Surface area for a cylinder?
90pi
90 degrees
The second graph is less steep.
2(pi)r^2 + 2(pi)rh

26. When does a function automatically have a restricted domain (2)?
No - the input value has exactly one output.
Factors are few - multiples are many.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
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

27. Length of an arc of a circle?
Two equal sides and two equal angles.
1 & 37/132
Angle/360 x 2(pi)r
Area of the base X height = (pi)hr^2

28. What is the 'domain' of a function?
The set of input values for a function.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
$11 -448
C = (pi)d

29. 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?
(a + b)^2
61 - 67
441000 = 1 10 10 10 21 * 21
The curve opens upward and the vertex is the minimal point on the graph.

30. What is an isoceles triangle?
x(x - y + 1)
Two equal sides and two equal angles.
72
... the square of the ratios of the corresponding sides.

31. A number is divisible by 6 if...
Its divisible by 2 and by 3.
... the square of the ratios of the corresponding sides.
Sector area = (n/360) X (pi)r^2
An isosceles right triangle.

32. 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))?
.0004809 X 10^11
20.5
...multiply by 100.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

33. What is the 'Range' of a function?
The longest arc between points A and B on a circle'S diameter.
67 - 71 - 73
Area of the base X height = (pi)hr^2
The set of output values for a function.

34. What percent of 40 is 22?
4:5
55%
The curve opens upward and the vertex is the minimal point on the graph.
F(x + c)

35. What are the members or elements of a set?
3 - -3
(amount of decrease/original price) x 100%
The objects within a set.
288 (8 9 4)

36. If an inequality is multiplied or divided by a negative number....
Its divisible by 2 and by 3.
1
The direction of the inequality is reversed.
The curve opens downward and the vertex is the maximum point on the graph.

37. x^2 = 9. What is the value of x?
3 - -3
31 - 37
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

38. 60 < all primes <70
Move the decimal point to the right x places
500
61 - 67
1

39. What is the 'Range' of a series of numbers?
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.
12sqrt2
The greatest value minus the smallest.

40. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
41 - 43 - 47
Its last two digits are divisible by 4.
A 30-60-90 triangle.
A set with a number of elements which can be counted.

41. Volume for a cylinder?
All numbers multiples of 1.
Even
Area of the base X height = (pi)hr^2
4725

42. A number is divisible by 4 is...
Sqrt 12
Its last two digits are divisible by 4.
From northeast - counterclockwise. I - II - III - IV
A = I (1 + rt)

43. 8.84 / 5.2
1.7
A tangent is a line that only touches one point on the circumference of a circle.
16.6666%
1

44. (6sqrt3) x (2sqrt5) =
x^(2(4)) =x^8 = (x^4)^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
0
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)

45. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Two angles whose sum is 90.
1
0
2 & 3/7

46. A number is divisible by 9 if...
3/2 - 5/3
83.333%
6
The sum of digits is divisible by 9.

47. What are the irrational numbers?

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48. 0^0
Undefined
A tangent is a line that only touches one point on the circumference of a circle.
N! / (n-k)!
Its negative reciprocal. (-b/a)

49. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
An expression with just one term (-6x - 2a^2)
$11 -448
N! / (k!)(n-k)!

50. 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?
3
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1
75:11