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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. Which quadrant is the upper right hand?
41 - 43 - 47
1
No - the input value has exactly one output.
I

2. How to find the diagonal of a rectangular solid?
A chord is a line segment joining two points on a circle.
Move the decimal point to the right x places
An angle which is supplementary to an interior angle.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

3. What is the sum of the angles of a triangle?
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
180 degrees
1
Its last two digits are divisible by 4.

4. Legs 6 - 8. Hypotenuse?
10
6
1
11 - 13 - 17 - 19

5. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Two angles whose sum is 90.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1

6. What is the 'Range' of a series of numbers?
F(x) - c
A reflection about the origin.
The greatest value minus the smallest.
4.25 - 6 - 22

7. 10^6 has how many zeroes?
The steeper the slope.
6
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Pi is the ratio of a circle'S circumference to its diameter.

8. A number is divisible by 4 is...
N! / (n-k)!
Its last two digits are divisible by 4.
10
Yes - like radicals can be added/subtracted.

9. Length of an arc of a circle?
$3 -500 in the 9% and $2 -500 in the 7%.
Ax^2 + bx + c where a -b and c are constants and a /=0
Angle/360 x 2(pi)r
18

10. Max and Min lengths for a side of a triangle?
The third side is greater than the difference and less than the sum.
2 & 3/7
2.592 kg
Divide by 100.

11. What is the measure of an exterior angle of a regular pentagon?
72
5
62.5%
12! / 5!7! = 792

12. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
... the square of the ratios of the corresponding sides.
A reflection about the origin.
12! / 5!7! = 792
Yes. [i.e. f(x) = x^2 - 1

13. P and r are factors of 100. What is greater - pr or 100?
$3 -500 in the 9% and $2 -500 in the 7%.
Angle/360 x (pi)r^2
Indeterminable.
13pi / 2

14. What is a parabola?
6 : 1 : 2
4:5
90
Ax^2 + bx + c where a -b and c are constants and a /=0

15. The objects in a set are called two names:
Members or elements
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)
413.03 / 10^4 (move the decimal point 4 places to the left)
0

16. Factor a^2 + 2ab + b^2
(a + b)^2
The curve opens upward and the vertex is the minimal point on the graph.
An arc is a portion of a circumference of a circle.
$3 -500 in the 9% and $2 -500 in the 7%.

17. What percent of 40 is 22?
... the square of the ratios of the corresponding sides.
55%
The shortest arc between points A and B on a circle'S diameter.
4725

18. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
4725
Cd
A 30-60-90 triangle.
The second graph is less steep.

19. 2sqrt4 + sqrt4 =
37.5%
3sqrt4
413.03 / 10^4 (move the decimal point 4 places to the left)
F(x + c)

20. What is the order of operations?
27^(-4)
0
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

21. When does a function automatically have a restricted domain (2)?
The union of A and B.
(a + b)^2
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

22. A number is divisible by 6 if...
72
.0004809 X 10^11
Its divisible by 2 and by 3.
Part = Percent X Whole

23. Find the surface area of a cylinder with radius 3 and height 12.
90pi
(amount of decrease/original price) x 100%
(p + q)/5
(a - b)(a + b)

24. x^4 + x^7 =
From northeast - counterclockwise. I - II - III - IV
x^(4+7) = x^11
7 / 1000
1.7

25. What is the surface area of a cylinder with radius 5 and height 8?
(amount of decrease/original price) x 100%
130pi
A subset.
The shortest arc between points A and B on a circle'S diameter.

26. How many sides does a hexagon have?
6
x^(4+7) = x^11
2(pi)r^2 + 2(pi)rh
1

27. What is the 'Solution' for a system of linear equations?
37.5%
70
90 degrees
The point of intersection of the systems.

28. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
90pi
4:5
III

29. 20<all primes<30
23 - 29
x^(4+7) = x^11
13
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)

30. 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 circle centered on the origin with radius 8.
75:11
(base*height) / 2
Move the decimal point to the right x places

31. What is a tangent?
48
A tangent is a line that only touches one point on the circumference of a circle.
72
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

32. What is the slope of a horizontal line?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
2
0

33. How to find the circumference of a circle which circumscribes a square?
True
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
20.5

34. To convert a percent to a fraction....
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Divide by 100.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
13pi / 2

35. The ratio of the areas of two similar polygons is ...
The third side is greater than the difference and less than the sum.
... the square of the ratios of the corresponding sides.
The curve opens downward and the vertex is the maximum point on the graph.
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...

36. What is an isoceles triangle?
87.5%
61 - 67
Two equal sides and two equal angles.
18

37. How to determine percent increase?
1
(amount of increase/original price) x 100%
413.03 / 10^4 (move the decimal point 4 places to the left)
1

38. Legs: 3 - 4. Hypotenuse?
(base*height) / 2
A subset.
180 degrees
5

39. The slope of a line perpendicular to (a/b)?
4:5
(base*height) / 2
A = pi(r^2)
Its negative reciprocal. (-b/a)

40. Pi is a ratio of what to what?

41. What is a central angle?
5
4725
A central angle is an angle formed by 2 radii.
0

42. Simplify the expression (p^2 - q^2)/ -5(q - p)
x^(6-3) = x^3
12.5%
1
(p + q)/5

43. 5x^2 - 35x -55 = 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)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A grouping of the members within a set based on a shared characteristic.

44. What is the area of a regular hexagon with side 6?
1.0843 X 10^11
6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
71 - 73 - 79

45. What is a piecewise equation?
The interesection of A and B.
90pi
75:11
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

46. How many 3-digit positive integers are even and do not contain the digit 4?
From northeast - counterclockwise. I - II - III - IV
9 : 25
288 (8 9 4)
Move the decimal point to the right x places

47. 60 < all primes <70
Its divisible by 2 and by 3.
61 - 67
A set with a number of elements which can be counted.
83.333%

48. Factor x^2 - xy + x.
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.
Move the decimal point to the right x places
F(x + c)
x(x - y + 1)

49. (12sqrt15) / (2sqrt5) =
7 / 1000
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The steeper the slope.
A reflection about the axis.

50. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
130pi
A chord is a line segment joining two points on a circle.
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
23 - 29