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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. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
41 - 43 - 47
2sqrt6
True
The objects within a set.

2. How to find the diagonal of a rectangular solid?
2.592 kg
72
0
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

3. What are 'Supplementary angles?'
Lies opposite the greater angle
Two angles whose sum is 180.
An expression with just one term (-6x - 2a^2)
87.5%

4. (12sqrt15) / (2sqrt5) =
An expression with just one term (-6x - 2a^2)
500
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Yes - like radicals can be added/subtracted.

5. 6w^2 - w - 15 = 0
13
An infinite set.
3/2 - 5/3
II

6. Surface area for a cylinder?
2 & 3/7
The shortest arc between points A and B on a circle'S diameter.
2(pi)r^2 + 2(pi)rh
Angle/360 x (pi)r^2

7. 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)]?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
13
Undefined
True

8. What are congruent triangles?
Diameter(Pi)
Triangles with same measure and same side lengths.
... the square of the ratios of the corresponding sides.
61 - 67

9. Convert 0.7% to a fraction.
7 / 1000
(a + b)^2
The point of intersection of the systems.
G(x) = {x}

10. 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?
F(x-c)
52
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Members or elements

11. Factor a^2 + 2ab + b^2
(a + b)^2
3
Its last two digits are divisible by 4.
y = 2x^2 - 3

12. Pi is a ratio of what to what?

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13. 20<all primes<30
23 - 29
12! / 5!7! = 792
(p + q)/5
The curve opens upward and the vertex is the minimal point on the graph.

14. What is the name for a grouping of the members within a set based on a shared characteristic?
180 degrees
0
75:11
A subset.

15. What is the graph of f(x) shifted upward c units or spaces?
72
1
F(x) + c
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

16. Define a 'Term' -
1
6
Arc length = (n/360) x pi(2r) where n is the number of degrees.
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)

17. Define an 'expression'.
F(x + c)
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)
Part = Percent X Whole

18. What is the intersection of A and B?
The set of elements found in both A and B.
F(x) - c
Move the decimal point to the right x places
IV

19. What is a subset?
A grouping of the members within a set based on a shared characteristic.
70
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...
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

20. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
3sqrt4
Two angles whose sum is 90.
1

21. What is a finite set?
A set with a number of elements which can be counted.
I
... the square of the ratios of the corresponding sides.
Members or elements

22. What is the empty set?
(a + b)^2
The set of elements found in both A and B.
A set with no members - denoted by a circle with a diagonal through it.
1/(x^y)

23. a^2 - b^2
1 & 37/132
A subset.
(a - b)(a + b)
The empty set - denoted by a circle with a diagonal through it.

24. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The greatest value minus the smallest.
2.592 kg
A = pi(r^2)

25. Evaluate 3& 2/7 / 1/3
Its last two digits are divisible by 4.
9 & 6/7
Two angles whose sum is 180.
1/(x^y)

26. x^6 / x^3
413.03 / 10^4 (move the decimal point 4 places to the left)
x^(6-3) = x^3
3
From northeast - counterclockwise. I - II - III - IV

27. What does scientific notation mean?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
180 degrees

28. 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?
130pi
True
(a - b)(a + b)
N! / (n-k)!

29. How to find the circumference of a circle which circumscribes a square?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
The point of intersection of the systems.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

30. 5/6 in percent?
(b + c)
83.333%
C = (pi)d
x^(6-3) = x^3

31. a^2 + 2ab + b^2
Triangles with same measure and same side lengths.
500
(a + b)^2
4:5

32. What is the formula for computing simple interest?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
The set of output values for a function.
A = I (1 + rt)
4096

33. 4.809 X 10^7 =
An expression with just one term (-6x - 2a^2)
The curve opens downward and the vertex is the maximum point on the graph.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
.0004809 X 10^11

34. In a regular polygon with n sides - the formula for the sum of interior angles
28. n = 8 - k = 2. n! / k!(n-k)!
18
(n-2) x 180
II

35. What is the maximum value for the function g(x) = (-2x^2) -1?
1
No - the input value has exactly one output.
(a + b)^2
288 (8 9 4)

36. What is the 'Restricted domain of a function'?
Divide by 100.
(base*height) / 2
I
When the function is not defined for all real numbers -; only a subset of the real numbers.

37. 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?
Two angles whose sum is 90.
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
4a^2(b)
A circle centered on the origin with radius 8.

38. 413.03 x 10^(-4) =
41 - 43 - 47
Area of the base X height = (pi)hr^2
An isosceles right triangle.
413.03 / 10^4 (move the decimal point 4 places to the left)

39. What is a central angle?
Two angles whose sum is 90.
A central angle is an angle formed by 2 radii.
(amount of increase/original price) x 100%
Its negative reciprocal. (-b/a)

40. 40 < all primes<50
41 - 43 - 47
No - the input value has exactly one output.
1 & 37/132
An angle which is supplementary to an interior angle.

41. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
6
The set of input values for a function.
y = (x + 5)/2
2 & 3/7

42. Define a 'monomial'
The set of input values for a function.
An expression with just one term (-6x - 2a^2)
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
The sum of its digits is divisible by 3.

43. A number is divisible by 6 if...
4725
Its divisible by 2 and by 3.
3 - -3
4a^2(b)

44. How many multiples does a given number have?
(n-2) x 180
Infinite.
(a - b)^2
x^(6-3) = x^3

45. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
Two equal sides and two equal angles.
(amount of increase/original price) x 100%
The objects within a set.

46. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
1
37.5%
Move the decimal point to the right x places

47. Area of a triangle?
An infinite set.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(base*height) / 2
An expression with just one term (-6x - 2a^2)

48. a^0 =
4:5
7 / 1000
6
1

49. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Yes - like radicals can be added/subtracted.
Pi is the ratio of a circle'S circumference to its diameter.
2
13pi / 2

50. 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?
Infinite.
A circle centered on the origin with radius 8.
413.03 / 10^4 (move the decimal point 4 places to the left)
75:11