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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 transformation occurs if point C is reflected over the x-axis and then the y-axis?
Yes - like radicals can be added/subtracted.
41 - 43 - 47
A reflection about the axis.
y = (x + 5)/2

2. What is the name of set with a number of elements which cannot be counted?
Angle/360 x 2(pi)r
An infinite set.
2sqrt6
71 - 73 - 79

3. Define a 'monomial'
A circle centered at -2 - -2 with radius 3.
An expression with just one term (-6x - 2a^2)
52
An angle which is supplementary to an interior angle.

4. What are congruent triangles?
Triangles with same measure and same side lengths.
55%
The point of intersection of the systems.
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)

5. (6sqrt3) x (2sqrt5) =
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The sum of its digits is divisible by 3.
(a - b)(a + b)
A subset.

6. What is the 'Solution' for a set of inequalities.
The overlapping sections.
9 & 6/7
13
$3 -500 in the 9% and $2 -500 in the 7%.

7. What is a minor arc?

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8. 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?
10! / (10-3)! = 720
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Its negative reciprocal. (-b/a)
Yes. [i.e. f(x) = x^2 - 1

9. 7/8 in percent?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The sum of its digits is divisible by 3.
(amount of decrease/original price) x 100%
87.5%

10. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
4.25 - 6 - 22
41 - 43 - 47
Cd

11. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
y = (x + 5)/2
An isosceles right triangle.
3
53 - 59

12. 1/6 in percent?
0
16.6666%
x= (1.2)(.8)lw
From northeast - counterclockwise. I - II - III - IV

13. Reduce: 4.8 : 0.8 : 1.6
18
6 : 1 : 2
55%
8

14. Can you add sqrt 3 and sqrt 5?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
1 & 37/132
Angle/360 x 2(pi)r
No - only like radicals can be added.

15. Which quandrant is the lower right hand?
C = (pi)d
Its divisible by 2 and by 3.
IV
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

16. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
52
28. n = 8 - k = 2. n! / k!(n-k)!
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
90 degrees

17. What is an arc of a circle?
3
The set of output values for a function.
An arc is a portion of a circumference of a circle.
3/2 - 5/3

18. 50 < all primes< 60
1
53 - 59
3
A tangent is a line that only touches one point on the circumference of a circle.

19. 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)]?
4725
Yes. [i.e. f(x) = x^2 - 1
A circle centered on the origin with radius 8.
True

20. Which quadrant is the lower left hand?
Sector area = (n/360) X (pi)r^2
Angle/360 x (pi)r^2
III
13pi / 2

21. 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))?
Area of the base X height = (pi)hr^2
20.5
87.5%
x^(4+7) = x^11

22. Is 0 even or odd?
Even
The overlapping sections.
2sqrt6
11 - 13 - 17 - 19

23. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
87.5%
A reflection about the origin.
Two equal sides and two equal angles.

24. When does a function automatically have a restricted domain (2)?
4725
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

25. How many sides does a hexagon have?
71 - 73 - 79
12sqrt2
y = (x + 5)/2
6

26. What is the order of operations?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
G(x) = {x}
No - only like radicals can be added.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

27. 5/8 in percent?
62.5%
441000 = 1 10 10 10 21 * 21
1/2 times 7/3
1

28. 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?
$3 -500 in the 9% and $2 -500 in the 7%.
500
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.
x= (1.2)(.8)lw

29. How to find the diagonal of a rectangular solid?
130pi
12sqrt2
288 (8 9 4)
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

30. Number of degrees in a triangle
180
Sector area = (n/360) X (pi)r^2
2.592 kg
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

31. If an inequality is multiplied or divided by a negative number....
4.25 - 6 - 22
The direction of the inequality is reversed.
180
Its negative reciprocal. (-b/a)

32. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
2 & 3/7
4:5
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.

33. Circumference of a circle?
Diameter(Pi)
28. n = 8 - k = 2. n! / k!(n-k)!
I
5 OR -5

34. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
0
12.5%
4:5
2

35. The larger the absolute value of the slope...
1/a^6
The empty set - denoted by a circle with a diagonal through it.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
The steeper the slope.

36. 413.03 x 10^(-4) =
1/2 times 7/3
413.03 / 10^4 (move the decimal point 4 places to the left)
II
83.333%

37. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
Its divisible by 2 and by 3.
6 : 1 : 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)

38. 6w^2 - w - 15 = 0
10! / (10-3)! = 720
True
A 30-60-90 triangle.
3/2 - 5/3

39. 25^(1/2) or sqrt. 25 =
The empty set - denoted by a circle with a diagonal through it.
2 & 3/7
70
5 OR -5

40. What is the 'Range' of a function?
Infinite.
A circle centered at -2 - -2 with radius 3.
0
The set of output values for a function.

41. What is the graph of f(x) shifted right c units or spaces?
A subset.
The empty set - denoted by a circle with a diagonal through it.
53 - 59
F(x-c)

42. What does scientific notation mean?
37.5%
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
5 OR -5
Yes. [i.e. f(x) = x^2 - 1

43. A number is divisible by 9 if...
An angle which is supplementary to an interior angle.
The direction of the inequality is reversed.
The sum of digits is divisible by 9.
An infinite set.

44. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
The point of intersection of the systems.
A 30-60-90 triangle.
Divide by 100.
The greatest value minus the smallest.

45. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
1
70
0

46. A number is divisible by 6 if...
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Its divisible by 2 and by 3.
Indeterminable.
G(x) = {x}

47. What is a finite set?
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)
9 : 25
F(x) - c
A set with a number of elements which can be counted.

48. What is the 'Restricted domain of a function'?
When the function is not defined for all real numbers -; only a subset of the real numbers.
Its last two digits are divisible by 4.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
2^9 / 2 = 256

49. What are the real numbers?
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)
13pi / 2
Part = Percent X Whole
Ax^2 + bx + c where a -b and c are constants and a /=0

50. Legs 5 - 12. Hypotenuse?
The sum of its digits is divisible by 3.
(a - b)(a + b)
90 degrees
13