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GRE Math: Common Errors

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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 a minor arc?

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2. Which quandrant is the lower right hand?
A chord is a line segment joining two points on a circle.
Its last two digits are divisible by 4.
IV
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.

3. What is the slope of a vertical line?

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4. 8.84 / 5.2
1.7
71 - 73 - 79
Divide by 100.
...multiply by 100.

5. Legs 5 - 12. Hypotenuse?
1
13
y = (x + 5)/2
1

6. How many sides does a hexagon have?
90
A set with a number of elements which can be counted.
F(x) + c
6

7. A number is divisible by 3 if ...
3 - -3
Triangles with same measure and same side lengths.
The sum of its digits is divisible by 3.
(a - b)(a + b)

8. Legs: 3 - 4. Hypotenuse?
Diameter(Pi)
3
Sector area = (n/360) X (pi)r^2
5

9. What is a piecewise equation?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Two angles whose sum is 90.
The set of elements which can be found in either A or B.
Members or elements

10. How many 3-digit positive integers are even and do not contain the digit 4?
7 / 1000
3
288 (8 9 4)
Members or elements

11. What is the percent formula?
75:11
Part = Percent X Whole
0
2.592 kg

12. x^6 / x^3
x^(6-3) = x^3
Two equal sides and two equal angles.
4.25 - 6 - 22
28. n = 8 - k = 2. n! / k!(n-k)!

13. Evaluate 3& 2/7 / 1/3
3sqrt4
9 & 6/7
$11 -448
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...

14. Define an 'expression'.
87.5%
.0004809 X 10^11
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)
2 & 3/7

15. 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?
6 : 1 : 2
The overlapping sections.
2.592 kg
N! / (n-k)!

16. How to find the diagonal of a rectangular solid?
The objects within a set.
2sqrt6
Two angles whose sum is 90.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

17. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
III
2
When the function is not defined for all real numbers -; only a subset of the real numbers.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

18. 6w^2 - w - 15 = 0
A set with a number of elements which can be counted.
The curve opens downward and the vertex is the maximum point on the graph.
3/2 - 5/3
All numbers multiples of 1.

19. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
4:5
1/a^6
1.0843 X 10^11
y = 2x^2 - 3

20. What is a subset?
A grouping of the members within a set based on a shared characteristic.
53 - 59
The second graph is less steep.
Yes - like radicals can be added/subtracted.

21. Evaluate (4^3)^2
130pi
A chord is a line segment joining two points on a circle.
4096
27^(-4)

22. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Even
8
A circle centered on the origin with radius 8.
28. n = 8 - k = 2. n! / k!(n-k)!

23. What is the maximum value for the function g(x) = (-2x^2) -1?
Two angles whose sum is 90.
Part = Percent X Whole
1
A circle centered on the origin with radius 8.

24. Solve the quadratic equation ax^2 + bx + c= 0
500
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
6
II

25. 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)?
The union of A and B.
y = (x + 5)/2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
70

26. What are congruent triangles?
4:5
18
Triangles with same measure and same side lengths.
N! / (n-k)!

27. 30< all primes<40
12sqrt2
31 - 37
1
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

28. The slope of a line perpendicular to (a/b)?
Part = Percent X Whole
Its negative reciprocal. (-b/a)
A grouping of the members within a set based on a shared characteristic.
27^(-4)

29. Which is greater? 64^5 or 16^8
31 - 37
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
The direction of the inequality is reversed.
500

30. 7/8 in percent?
87.5%
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...
x(x - y + 1)
2(pi)r^2 + 2(pi)rh

31. Max and Min lengths for a side of a triangle?
Undefined
The set of elements found in both A and B.
The third side is greater than the difference and less than the sum.
(a - b)^2

32. What is a major arc?

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33. How to find the area of a sector?
No - the input value has exactly one output.
Angle/360 x (pi)r^2
(base*height) / 2
3

34. The objects in a set are called two names:
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Yes - like radicals can be added/subtracted.
Undefined
Members or elements

35. a^2 - 2ab + b^2
(a - b)^2
13pi / 2
C = (pi)d
(a - b)(a + b)

36. When the 'a' in a parabola is positive....
180 degrees
(p + q)/5
Its divisible by 2 and by 3.
The curve opens upward and the vertex is the minimal point on the graph.

37. Whats the difference between factors and multiples?
x^(2(4)) =x^8 = (x^4)^2
Factors are few - multiples are many.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Two angles whose sum is 180.

38. What are the smallest three prime numbers greater than 65?
IV
A 30-60-90 triangle.
67 - 71 - 73
4a^2(b)

39. What is the 'Solution' for a set of inequalities.
The overlapping sections.
90
Triangles with same measure and same side lengths.
All numbers multiples of 1.

40. What are the irrational numbers?

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41. To convert a percent to a fraction....
Divide by 100.
75:11
The set of output values for a function.
An infinite set.

42. What is the graph of f(x) shifted upward c units or spaces?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
3/2 - 5/3
Its divisible by 2 and by 3.
F(x) + c

43. What is a parabola?
The two xes after factoring.
The steeper the slope.
12.5%
Ax^2 + bx + c where a -b and c are constants and a /=0

44. To multiply a number by 10^x
Move the decimal point to the right x places
x= (1.2)(.8)lw
7 / 1000
Two equal sides and two equal angles.

45. Simplify the expression (p^2 - q^2)/ -5(q - p)
A set with no members - denoted by a circle with a diagonal through it.
67 - 71 - 73
(p + q)/5
1/2 times 7/3

46. What is the formula for compounded interest?
1
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= 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.
(p + q)/5

47. When the 'a' in the parabola is negative...
...multiply by 100.
10! / (10-3)! = 720
II
The curve opens downward and the vertex is the maximum point on the graph.

48. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
An infinite set.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The set of input values for a function.
288 (8 9 4)

49. 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?
10
The shortest arc between points A and B on a circle'S diameter.
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
441000 = 1 10 10 10 21 * 21

50. Evaluate 4/11 + 11/12
1 & 37/132
C = 2(pi)r
III
28. n = 8 - k = 2. n! / k!(n-k)!

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GRE Math: Common Errors

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