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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. x^4 + x^7 =
x^(4+7) = x^11
The interesection of A and B.
$3 -500 in the 9% and $2 -500 in the 7%.
0

2. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(a - b)^2
10
180

3. Write 10 -843 X 10^7 in scientific notation
Relationship cannot be determined (what if x is negative?)
Triangles with same measure and same side lengths.
1.0843 X 10^11
1

4. 5/8 in percent?
No - only like radicals can be added.
4096
62.5%
4725

5. Simplify the expression (p^2 - q^2)/ -5(q - p)
...multiply by 100.
12.5%
(p + q)/5
1

6. 1/6 in percent?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
16.6666%
Its divisible by 2 and by 3.
y = (x + 5)/2

7. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
N! / (n-k)!
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)
The direction of the inequality is reversed.
2.592 kg

8. What is the absolute value function?
N! / (n-k)!
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
G(x) = {x}
3 - -3

9. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
41 - 43 - 47
441000 = 1 10 10 10 21 * 21
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
28. n = 8 - k = 2. n! / k!(n-k)!

10. What is a subset?
A grouping of the members within a set based on a shared characteristic.
F(x) - c
12.5%
A reflection about the axis.

11. 30< all primes<40
(b + c)
Its last two digits are divisible by 4.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
31 - 37

12. What are the real numbers?
C = (pi)d
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
87.5%

13. A number is divisible by 6 if...
Yes - like radicals can be added/subtracted.
F(x) + c
1/2 times 7/3
Its divisible by 2 and by 3.

14. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
7 / 1000
2 & 3/7
The overlapping sections.
2sqrt6

15. What is the 'Solution' for a system of linear equations?
A circle centered at -2 - -2 with radius 3.
4096
13
The point of intersection of the systems.

16. a^0 =
1
130pi
III
5 OR -5

17. 5x^2 - 35x -55 = 0
y = (x + 5)/2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A tangent is a line that only touches one point on the circumference of a circle.

18. What percent of 40 is 22?
The curve opens downward and the vertex is the maximum point on the graph.
A reflection about the origin.
13
55%

19. When does a function automatically have a restricted domain (2)?
180 degrees
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Yes. [i.e. f(x) = x^2 - 1
$11 -448

20. 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?
x= (1.2)(.8)lw
The direction of the inequality is reversed.
1
9 : 25

21. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
28. n = 8 - k = 2. n! / k!(n-k)!
4725
The set of input values for a function.
31 - 37

22. The objects in a set are called two names:
3
F(x) - c
A = pi(r^2)
Members or elements

23. What is the maximum value for the function g(x) = (-2x^2) -1?
Members or elements
Angle/360 x (pi)r^2
1
Its divisible by 2 and by 3.

24. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
N! / (k!)(n-k)!
0
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
41 - 43 - 47

25. Solve the quadratic equation ax^2 + bx + c= 0
2
48
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
A 30-60-90 triangle.

26. What is the 'Solution' for a set of inequalities.
Angle/360 x (pi)r^2
The overlapping sections.
The steeper the slope.
90

27. Define an 'expression'.
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...
An isosceles right triangle.
y = 2x^2 - 3
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)

28. Reduce: 4.8 : 0.8 : 1.6
2.592 kg
6 : 1 : 2
Ax^2 + bx + c where a -b and c are constants and a /=0
Undefined - because we can'T divide by 0.

29. 1/8 in percent?
2
F(x) + c
Relationship cannot be determined (what if x is negative?)
12.5%

30. Evaluate 4/11 + 11/12
1
(base*height) / 2
F(x + c)
1 & 37/132

31. Can you add sqrt 3 and sqrt 5?
F(x-c)
No - only like radicals can be added.
75:11
The set of output values for a function.

32. The ratio of the areas of two similar polygons is ...
From northeast - counterclockwise. I - II - III - IV
$3 -500 in the 9% and $2 -500 in the 7%.
Move the decimal point to the right x places
... the square of the ratios of the corresponding sides.

33. 40 < all primes<50
1
41 - 43 - 47
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Undefined - because we can'T divide by 0.

34. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
12.5%
A central angle is an angle formed by 2 radii.
4.25 - 6 - 22
... the square of the ratios of the corresponding sides.

35. Legs 6 - 8. Hypotenuse?
The union of A and B.
Yes. [i.e. f(x) = x^2 - 1
10
Arc length = (n/360) x pi(2r) where n is the number of degrees.

36. What is the 'Range' of a series of numbers?
2(pi)r^2 + 2(pi)rh
28. n = 8 - k = 2. n! / k!(n-k)!
The greatest value minus the smallest.
4096

37. a^2 - b^2 =
Infinite.
90pi
(a - b)(a + b)
28. n = 8 - k = 2. n! / k!(n-k)!

38. How to determine percent decrease?
A 30-60-90 triangle.
The steeper the slope.
2(pi)r^2 + 2(pi)rh
(amount of decrease/original price) x 100%

39. What is a central angle?
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.
(a - b)(a + b)
A central angle is an angle formed by 2 radii.
The curve opens upward and the vertex is the minimal point on the graph.

40. Whats the difference between factors and multiples?
Pi is the ratio of a circle'S circumference to its diameter.
Factors are few - multiples are many.
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

41. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
A reflection about the origin.
An angle which is supplementary to an interior angle.
2
70

42. 413.03 x 10^(-4) =
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
413.03 / 10^4 (move the decimal point 4 places to the left)
The objects within a set.
The curve opens upward and the vertex is the minimal point on the graph.

43. Which quandrant is the lower right hand?
72
IV
12.5%
441000 = 1 10 10 10 21 * 21

44. Surface area for a cylinder?
F(x) + c
Even
Yes - like radicals can be added/subtracted.
2(pi)r^2 + 2(pi)rh

45. Convert 0.7% to a fraction.
C = (pi)d
4.25 - 6 - 22
7 / 1000
1 & 37/132

46. Simplify the expression [(b^2 - c^2) / (b - c)]
x= (1.2)(.8)lw
4.25 - 6 - 22
1.7
(b + c)

47. Which quadrant is the upper left hand?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A = pi(r^2)
27^(-4)
II

48. What is the slope of a vertical line?

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49. Evaluate (4^3)^2
4096
G(x) = {x}
180 degrees
2 & 3/7

50. What is an arc of a circle?
From northeast - counterclockwise. I - II - III - IV
(amount of increase/original price) x 100%
An arc is a portion of a circumference of a circle.
2