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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 ratio of the sides of a 30-60-90 triangle?
No - the input value has exactly one output.
61 - 67
1:sqrt3:2
No - only like radicals can be added.

2. How to find the circumference of a circle which circumscribes a square?
(base*height) / 2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
A = pi(r^2)
1

3. x^4 + x^7 =
4a^2(b)
18
90pi
x^(4+7) = x^11

4. The larger the absolute value of the slope...
The steeper the slope.
1/(x^y)
All numbers multiples of 1.
61 - 67

5. 5/8 in percent?
0
62.5%
2 & 3/7
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

6. What is a parabola?
(a - b)(a + b)
6 : 1 : 2
The objects within a set.
Ax^2 + bx + c where a -b and c are constants and a /=0

7. Evaluate 3& 2/7 / 1/3
500
4.25 - 6 - 22
9 & 6/7
55%

8. What are the irrational numbers?

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9. When the 'a' in a parabola is positive....
180 degrees
The greatest value minus the smallest.
y = 2x^2 - 3
The curve opens upward and the vertex is the minimal point on the graph.

10. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
Two angles whose sum is 180.
A reflection about the origin.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

11. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
31 - 37
x^(2(4)) =x^8 = (x^4)^2
x= (1.2)(.8)lw

12. Formula for the area of a circle?
A reflection about the origin.
A = pi(r^2)
72
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

13. How many 3-digit positive integers are even and do not contain the digit 4?
1:1:sqrt2
288 (8 9 4)
x^(6-3) = x^3
A chord is a line segment joining two points on a circle.

14. What are the roots of the quadrinomial x^2 + 2x + 1?
Undefined - because we can'T divide by 0.
The two xes after factoring.
0
71 - 73 - 79

15. Evaluate (4^3)^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The shortest arc between points A and B on a circle'S diameter.
The steeper the slope.
4096

16. 2sqrt4 + sqrt4 =
1
4096
3sqrt4
(a - b)^2

17. 7/8 in percent?
x^(2(4)) =x^8 = (x^4)^2
87.5%
130pi
Members or elements

18. Simplify (a^2 + b)^2 - (a^2 - b)^2
16.6666%
Undefined
4a^2(b)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

19. 10^6 has how many zeroes?
A reflection about the origin.
A tangent is a line that only touches one point on the circumference of a circle.
Undefined - because we can'T divide by 0.
6

20. What is a minor arc?

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21. When the 'a' in the parabola is negative...
IV
Undefined - because we can'T divide by 0.
5
The curve opens downward and the vertex is the maximum point on the graph.

22. Define a 'Term' -
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
The longest arc between points A and B on a circle'S diameter.
1
Diameter(Pi)

23. What are 'Supplementary angles?'
$3 -500 in the 9% and $2 -500 in the 7%.
Two angles whose sum is 180.
1:1:sqrt2
1

24. What is the formula for computing simple interest?
A = I (1 + rt)
A circle centered at -2 - -2 with radius 3.
Its divisible by 2 and by 3.
Its last two digits are divisible by 4.

25. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
3
Two angles whose sum is 180.
Infinite.
90

26. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
53 - 59
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(a - b)(a + b)

27. Formula to find a circle'S circumference from its radius?
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
3
C = 2(pi)r
2 & 3/7

28. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
2 & 3/7
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
(a - b)^2
2.592 kg

29. Formula of rectangle where l increases by 20% and w decreases by 20%
28. n = 8 - k = 2. n! / k!(n-k)!
The third side is greater than the difference and less than the sum.
87.5%
x= (1.2)(.8)lw

30. Write 10 -843 X 10^7 in scientific notation
1.0843 X 10^11
11 - 13 - 17 - 19
7 / 1000
4.25 - 6 - 22

31. 25^(1/2) or sqrt. 25 =
5 OR -5
0
Relationship cannot be determined (what if x is negative?)
True

32. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
G(x) = {x}
90
13pi / 2
90 degrees

33. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
$11 -448
y = (x + 5)/2
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
87.5%

34. How many sides does a hexagon have?
71 - 73 - 79
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
6
3/2 - 5/3

35. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Even
48
2 & 3/7

36. What is an isoceles triangle?
5 OR -5
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Two equal sides and two equal angles.
Its last two digits are divisible by 4.

37. What is the empty set?
23 - 29
Even
(a + b)^2
A set with no members - denoted by a circle with a diagonal through it.

38. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
A reflection about the axis.
A 30-60-90 triangle.
10! / 3!(10-3)! = 120
Area of the base X height = (pi)hr^2

39. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
441000 = 1 10 10 10 21 * 21
x= (1.2)(.8)lw
Two equal sides and two equal angles.
Cd

40. Factor x^2 - xy + x.
Yes - like radicals can be added/subtracted.
The curve opens downward and the vertex is the maximum point on the graph.
3sqrt4
x(x - y + 1)

41. 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?
1.7
N! / (k!)(n-k)!
Its divisible by 2 and by 3.
90pi

42. Which quadrant is the upper right hand?
5
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)
I
(a - b)(a + b)

43. Legs: 3 - 4. Hypotenuse?
90 degrees
48
5
3

44. 1/8 in percent?
The direction of the inequality is reversed.
Factors are few - multiples are many.
The greatest value minus the smallest.
12.5%

45. a^2 - b^2
3/2 - 5/3
(a - b)(a + b)
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
A reflection about the axis.

46. Can you simplify sqrt72?
18
Two angles whose sum is 90.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1/2 times 7/3

47. The number of degrees in the largest angle of a triangle inscribed in a circle - in which the diameter of the circle is one side of the triangle.
y = 2x^2 - 3
A grouping of the members within a set based on a shared characteristic.
288 (8 9 4)
90 degrees

48. Can you add sqrt 3 and sqrt 5?
No - only like radicals can be added.
The second graph is less steep.
F(x) - c
1/(x^y)

49. Can the output value of a function have more than one input value?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
F(x + c)
1/2 times 7/3
Yes. [i.e. f(x) = x^2 - 1

50. a^2 + 2ab + b^2
48
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(a + b)^2
Its divisible by 2 and by 3.