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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.
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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. The objects in a set are called two names:
The set of elements which can be found in either A or B.
Members or elements
6
A tangent is a line that only touches one point on the circumference of a circle.

2. Volume for a cylinder?
72
Its last two digits are divisible by 4.
Area of the base X height = (pi)hr^2
IV

3. Factor a^2 + 2ab + b^2
(a + b)^2
A grouping of the members within a set based on a shared characteristic.
Diameter(Pi)
The set of output values for a function.

4. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
4:5
Area of the base X height = (pi)hr^2
130pi
An isosceles right triangle.

5. A number is divisible by 6 if...
(amount of increase/original price) x 100%
Its divisible by 2 and by 3.
Even
The sum of digits is divisible by 9.

6. 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?
A tangent is a line that only touches one point on the circumference of a circle.
2.592 kg
10! / 3!(10-3)! = 120
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

7. 1/8 in percent?
Move the decimal point to the right x places
Undefined
Area of the base X height = (pi)hr^2
12.5%

8. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
Its negative reciprocal. (-b/a)
Ax^2 + bx + c where a -b and c are constants and a /=0

9. 10<all primes<20
11 - 13 - 17 - 19
The third side is greater than the difference and less than the sum.
x^(4+7) = x^11
2^9 / 2 = 256

10. What is the formula for computing simple interest?
A = I (1 + rt)
Indeterminable.
Two angles whose sum is 180.
83.333%

11. What is a major arc?

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12. a^2 - b^2
(a - b)(a + b)
The second graph is less steep.
27^(-4)
The sum of its digits is divisible by 3.

13. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
3/2 - 5/3
Its divisible by 2 and by 3.
(a + b)^2
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 name for a grouping of the members within a set based on a shared characteristic?
Area of the base X height = (pi)hr^2
x= (1.2)(.8)lw
A subset.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

15. Simplify 9^(1/2) X 4^3 X 2^(-6)?
The sum of its digits is divisible by 3.
3
(a + b)^2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

16. 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.
9 & 6/7
Undefined - because we can'T divide by 0.
Pi is the ratio of a circle'S circumference to its diameter.

17. What is the formula for compounded interest?
Infinite.
11 - 13 - 17 - 19
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.
(base*height) / 2

18. 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
The interesection of A and B.
1
C = 2(pi)r

19. What are the smallest three prime numbers greater than 65?
Even
1.7
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
67 - 71 - 73

20. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
I
1
8

21. Simplify (a^2 + b)^2 - (a^2 - b)^2
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
4a^2(b)
10! / 3!(10-3)! = 120
Two angles whose sum is 180.

22. What are the members or elements of a set?
1/(x^y)
The objects within a set.
6
The interesection of A and B.

23. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
11 - 13 - 17 - 19
A central angle is an angle formed by 2 radii.
True

24. How many multiples does a given number have?
Infinite.
12sqrt2
6 : 1 : 2
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)

25. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
9 : 25
13
1
Angle/360 x 2(pi)r

26. What is the side length of an equilateral triangle with altitude 6?
...multiply by 100.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
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...
4:5

27. What is the measure of an exterior angle of a regular pentagon?
10! / (10-3)! = 720
72
62.5%
8

28. How to find the area of a sector?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
All numbers multiples of 1.
Angle/360 x (pi)r^2
1/a^6

29. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
A = I (1 + rt)
2
(a - b)^2

30. 413.03 x 10^(-4) =
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 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 third side is greater than the difference and less than the sum.
413.03 / 10^4 (move the decimal point 4 places to the left)

31. 40 < all primes<50
1/2 times 7/3
41 - 43 - 47
4096
12sqrt2

32. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
A central angle is an angle formed by 2 radii.
2
2sqrt6
y = (x + 5)/2

33. What is the empty set?
A set with no members - denoted by a circle with a diagonal through it.
Triangles with same measure and same side lengths.
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 second graph is less steep.

34. 6w^2 - w - 15 = 0
1
3/2 - 5/3
The greatest value minus the smallest.
The set of output values for a function.

35. What is a central angle?
(b + c)
6
A central angle is an angle formed by 2 radii.
62.5%

36. Formula of rectangle where l increases by 20% and w decreases by 20%
0
x= (1.2)(.8)lw
4:5
A subset.

37. What is the maximum value for the function g(x) = (-2x^2) -1?
1
Two equal sides and two equal angles.
Indeterminable.
A tangent is a line that only touches one point on the circumference of a circle.

38. What is a piecewise equation?
2sqrt6
An expression with just one term (-6x - 2a^2)
A reflection about the origin.
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.

39. 5/8 in percent?
62.5%
A tangent is a line that only touches one point on the circumference of a circle.
Diameter(Pi)
0

40. The slope of a line perpendicular to (a/b)?
52
(n-2) x 180
Its negative reciprocal. (-b/a)
13

41. a^2 + 2ab + b^2
Two angles whose sum is 90.
(a + b)^2
500
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)

42. What is the percent formula?
12sqrt2
Part = Percent X Whole
2 & 3/7
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

43. 60 < all primes <70
(p + q)/5
20.5
61 - 67
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

44. Evaluate 3& 2/7 / 1/3
Undefined - because we can'T divide by 0.
1
18
9 & 6/7

45. How many sides does a hexagon have?
8
The direction of the inequality is reversed.
Part = Percent X Whole
6

46. How many 3-digit positive integers are even and do not contain the digit 4?
The sum of its digits is divisible by 3.
288 (8 9 4)
A = I (1 + rt)
2^9 / 2 = 256

47. 0^0
Undefined
52
Cd
500

48. What is the sum of the angles of a triangle?
Ax^2 + bx + c where a -b and c are constants and a /=0
87.5%
A set with no members - denoted by a circle with a diagonal through it.
180 degrees

49. A number is divisible by 9 if...
(n-2) x 180
The sum of digits is divisible by 9.
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)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

50. What is the graph of f(x) shifted left c units or spaces?
A = I (1 + rt)
3
F(x + c)
2^9 / 2 = 256

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GRE Math: Common Errors

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