Test your basic knowledge |

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. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
(n-2) x 180
1:1:sqrt2
83.333%
10! / (10-3)! = 720

2. A number is divisible by 9 if...
I
The sum of digits is divisible by 9.
23 - 29
2^9 / 2 = 256

3. To multiply a number by 10^x
The shortest arc between points A and B on a circle'S diameter.
Move the decimal point to the right x places
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)
Lies opposite the greater angle

4. What is the order of operations?
Ax^2 + bx + c where a -b and c are constants and a /=0
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
A = pi(r^2)

5. The larger the absolute value of the slope...
The steeper the slope.
31 - 37
41 - 43 - 47
Yes. [i.e. f(x) = x^2 - 1

6. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Yes. [i.e. f(x) = x^2 - 1
All numbers multiples of 1.
1
True

7. What is the ratio of the sides of a 30-60-90 triangle?
0
All numbers multiples of 1.
1:sqrt3:2
An infinite set.

8. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
Its last two digits are divisible by 4.
53 - 59
A grouping of the members within a set based on a shared characteristic.

9. What is the sum of the angles of a triangle?
Sqrt 12
The set of elements found in both A and B.
180 degrees
500

10. What is the surface area of a cylinder with radius 5 and height 8?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
130pi
x(x - y + 1)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

11. 7/8 in percent?
6
$3 -500 in the 9% and $2 -500 in the 7%.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
87.5%

12. How to determine percent decrease?
Undefined - because we can'T divide by 0.
10! / 3!(10-3)! = 120
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
(amount of decrease/original price) x 100%

13. What is the 'Range' of a series of numbers?
III
12sqrt2
x= (1.2)(.8)lw
The greatest value minus the smallest.

14. 25^(1/2) or sqrt. 25 =
The empty set - denoted by a circle with a diagonal through it.
62.5%
5 OR -5
A grouping of the members within a set based on a shared characteristic.

15. 50 < all primes< 60
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
12! / 5!7! = 792
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
53 - 59

16. Find the surface area of a cylinder with radius 3 and height 12.
53 - 59
1/(x^y)
The curve opens upward and the vertex is the minimal point on the graph.
90pi

17. a^2 - b^2 =
(a - b)^2
(a - b)(a + b)
12! / 5!7! = 792
$3 -500 in the 9% and $2 -500 in the 7%.

18. Which quadrant is the lower left hand?
An angle which is supplementary to an interior angle.
III
IV
A tangent is a line that only touches one point on the circumference of a circle.

19. 10<all primes<20
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
11 - 13 - 17 - 19
3
1:sqrt3:2

20. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
y = 2x^2 - 3
A subset.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

21. What is a chord of a circle?
Sqrt 12
67 - 71 - 73
A chord is a line segment joining two points on a circle.
1

22. What is the absolute value function?
G(x) = {x}
3
A subset.
x^(6-3) = x^3

23. What is a major arc?
Area of the base X height = (pi)hr^2
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.
The overlapping sections.
The longest arc between points A and B on a circle'S diameter.

24. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Diameter(Pi)
500
A reflection about the origin.
The second graph is less steep.

25. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
F(x) - c
4725
3
16.6666%

26. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A 30-60-90 triangle.
90pi

27. 1/6 in percent?
16.6666%
(a + b)^2
True
72

28. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
2^9 / 2 = 256
(a - b)^2
Pi is the ratio of a circle'S circumference to its diameter.
1/a^6

29. What is the name for a grouping of the members within a set based on a shared characteristic?
Its last two digits are divisible by 4.
The shortest arc between points A and B on a circle'S diameter.
True
A subset.

30. Is 0 even or odd?
A chord is a line segment joining two points on a circle.
Even
A reflection about the origin.
x^(2(4)) =x^8 = (x^4)^2

31. If an inequality is multiplied or divided by a negative number....
An isosceles right triangle.
The direction of the inequality is reversed.
The empty set - denoted by a circle with a diagonal through it.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

32. What are the integers?
All numbers multiples of 1.
90pi
x^(4+7) = x^11
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

33. 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?
18
The curve opens downward and the vertex is the maximum point on the graph.
An infinite set.
N! / (k!)(n-k)!

34. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
II
2 & 3/7
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
10! / 3!(10-3)! = 120

35. Can the input value of a function have more than one output value (i.e. x: y - y1)?
Angle/360 x 2(pi)r
1
75:11
No - the input value has exactly one output.

36. Define a 'Term' -
3
90 degrees
1/a^6
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)

37. What is a tangent?
A tangent is a line that only touches one point on the circumference of a circle.
Relationship cannot be determined (what if x is negative?)
1
61 - 67

38. Factor a^2 + 2ab + b^2
N! / (k!)(n-k)!
87.5%
3sqrt4
(a + b)^2

39. What is the name of set with a number of elements which cannot be counted?
288 (8 9 4)
1/2 times 7/3
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
An infinite set.

40. The ratio of the areas of two similar polygons is ...
72
90pi
... the square of the ratios of the corresponding sides.
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

41. Formula of rectangle where l increases by 20% and w decreases by 20%
x= (1.2)(.8)lw
288 (8 9 4)
A set with a number of elements which can be counted.
9 & 6/7

42. Can the output value of a function have more than one input value?
6
Yes. [i.e. f(x) = x^2 - 1
A = I (1 + rt)
(a - b)(a + b)

43. Describe the relationship between 3x^2 and 3(x - 1)^2
Sector area = (n/360) X (pi)r^2
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
12.5%
27^(-4)

44. How to find the circumference of a circle which circumscribes a square?
A subset.
Triangles with same measure and same side lengths.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1

45. a^0 =
The curve opens upward and the vertex is the minimal point on the graph.
x^(2(4)) =x^8 = (x^4)^2
1
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

46. What is the percent formula?
A subset.
Part = Percent X Whole
Angle/360 x (pi)r^2
11 - 13 - 17 - 19

47. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
1:sqrt3:2
III
Part = Percent X Whole
18

48. 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
F(x-c)
(n-2) x 180
2(pi)r^2 + 2(pi)rh

49. Pi is a ratio of what to what?
0
Pi is the ratio of a circle'S circumference to its diameter.
An arc is a portion of a circumference of a circle.
Angle/360 x (pi)r^2

50. 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)]?
True
y = (x + 5)/2
1/a^6
Yes - like radicals can be added/subtracted.

Test your basic knowledge |

GRE Math: Common Errors

Communication skills, Self help skills, Self improvement skills, Productivity skills, Writing skills, Business skills, Thinking skills & More...

502 Pages | Only $12 | PDF / EPub, Kindle Ready

Top Scores

Link to This Test

Related Subjects