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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. A number is divisible by 3 if ...
7 / 1000
A subset.
6
The sum of its digits is divisible by 3.

2. 30< all primes<40
31 - 37
5 OR -5
1
3

3. What is the side length of an equilateral triangle with altitude 6?
x^(6-3) = x^3
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 square of the ratios of the corresponding sides.
G(x) = {x}

4. 4.809 X 10^7 =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
F(x-c)
Its negative reciprocal. (-b/a)
.0004809 X 10^11

5. What is the maximum value for the function g(x) = (-2x^2) -1?
18
1
2 & 3/7
90pi

6. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
0
C = 2(pi)r
1
71 - 73 - 79

7. What are the irrational numbers?

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8. How to find the diagonal of a rectangular solid?
F(x + c)
55%
12! / 5!7! = 792
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

9. What is the name of set with a number of elements which cannot be counted?
An infinite set.
3sqrt4
Factors are few - multiples are many.
6

10. x^4 + x^7 =
x^(4+7) = x^11
Two angles whose sum is 180.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
441000 = 1 10 10 10 21 * 21

11. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
3/2 - 5/3
x(x - y + 1)
Angle/360 x 2(pi)r

12. What is a subset?
Angle/360 x (pi)r^2
A grouping of the members within a set based on a shared characteristic.
The direction of the inequality is reversed.
Even

13. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(a - b)^2
90 degrees
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

14. What is the order of operations?
Its last two digits are divisible by 4.
55%
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A chord is a line segment joining two points on a circle.

15. What is the slope of a horizontal line?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
16.6666%
The direction of the inequality is reversed.
0

16. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Area of the base X height = (pi)hr^2

17. What is a chord of a circle?
A set with no members - denoted by a circle with a diagonal through it.
F(x + c)
A chord is a line segment joining two points on a circle.
(base*height) / 2

18. Evaluate (4^3)^2
1
$11 -448
4096
Divide by 100.

19. 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?
The steeper the slope.
52
Arc length = (n/360) x pi(2r) where n is the number of degrees.
27^(-4)

20. What is a tangent?
A set with no members - denoted by a circle with a diagonal through it.
23 - 29
A tangent is a line that only touches one point on the circumference of a circle.
x^(2(4)) =x^8 = (x^4)^2

21. What percent of 40 is 22?
The two xes after factoring.
13pi / 2
N! / (k!)(n-k)!
55%

22. a^0 =
...multiply by 100.
The union of A and B.
1
Infinite.

23. 6w^2 - w - 15 = 0
The direction of the inequality is reversed.
3/2 - 5/3
441000 = 1 10 10 10 21 * 21
37.5%

24. What are the real numbers?
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)
441000 = 1 10 10 10 21 * 21
4:5
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)

25. 60 < all primes <70
61 - 67
Part = Percent X Whole
3
1

26. 1/8 in percent?
12.5%
A set with no members - denoted by a circle with a diagonal through it.
441000 = 1 10 10 10 21 * 21
A central angle is an angle formed by 2 radii.

27. 10^6 has how many zeroes?
83.333%
6
(p + q)/5
F(x) - c

28. 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?
Diameter(Pi)
441000 = 1 10 10 10 21 * 21
48
2sqrt6

29. What is the formula for computing simple interest?
I
9 : 25
Angle/360 x 2(pi)r
A = I (1 + rt)

30. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
A circle centered at -2 - -2 with radius 3.
G(x) = {x}
2.592 kg
...multiply by 100.

31. The larger the absolute value of the slope...
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
1/(x^y)
3sqrt4
The steeper the slope.

32. 70 < all primes< 80
x^(2(4)) =x^8 = (x^4)^2
F(x-c)
71 - 73 - 79
Part = Percent X Whole

33. Convert 0.7% to a fraction.
A tangent is a line that only touches one point on the circumference of a circle.
Angle/360 x 2(pi)r
7 / 1000
1:sqrt3:2

34. 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...
10! / 3!(10-3)! = 120
The two xes after factoring.
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)

35. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
3 - -3
1
180
70

36. A number is divisible by 4 is...
The direction of the inequality is reversed.
Its last two digits are divisible by 4.
18
2 & 3/7

37. a^2 - b^2 =
55%
The direction of the inequality is reversed.
Divide by 100.
(a - b)(a + b)

38. Which quadrant is the lower left hand?
III
Area of the base X height = (pi)hr^2
1:sqrt3:2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

39. To multiply a number by 10^x
62.5%
10
Move the decimal point to the right x places
1

40. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
13pi / 2
Its last two digits are divisible by 4.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1

41. What are the roots of the quadrinomial x^2 + 2x + 1?
61 - 67
Even
The two xes after factoring.
An angle which is supplementary to an interior angle.

42. 2sqrt4 + sqrt4 =
5
441000 = 1 10 10 10 21 * 21
3sqrt4
52

43. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
$11 -448
Its negative reciprocal. (-b/a)
90 degrees
1

44. Which is greater? 64^5 or 16^8
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The sum of its digits is divisible by 3.
23 - 29
II

45. What is the ratio of the sides of a 30-60-90 triangle?
A grouping of the members within a set based on a shared characteristic.
1:sqrt3:2
180
2 & 3/7

46. Can the output value of a function have more than one input value?
Triangles with same measure and same side lengths.
Yes. [i.e. f(x) = x^2 - 1
4096
$11 -448

47. What is the name for a grouping of the members within a set based on a shared characteristic?
13pi / 2
A subset.
(a - b)^2
1:1:sqrt2

48. Find the surface area of a cylinder with radius 3 and height 12.
53 - 59
90pi
The third side is greater than the difference and less than the sum.
(a - b)(a + b)

49. When the 'a' in the parabola is negative...
The curve opens downward and the vertex is the maximum point on the graph.
16.6666%
12.5%
1

50. Describe the relationship between 3x^2 and 3(x - 1)^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The sum of digits is divisible by 9.
(a - b)(a + b)