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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. Factor a^2 + 2ab + b^2
18
N! / (k!)(n-k)!
(a + b)^2
Infinite.

2. 5/8 in percent?
The point of intersection of the systems.
62.5%
... the square of the ratios of the corresponding sides.
4096

3. 8.84 / 5.2
x^(2(4)) =x^8 = (x^4)^2
x= (1.2)(.8)lw
1.7
An isosceles right triangle.

4. When the 'a' in a parabola is positive....
2.592 kg
The curve opens upward and the vertex is the minimal point on the graph.
41 - 43 - 47
1:1:sqrt2

5. If the two sides of a triangle are unequal then the longer side...
Lies opposite the greater angle
(a + b)^2
3
Two angles whose sum is 180.

6. What is the side length of an equilateral triangle with altitude 6?
An infinite set.
C = (pi)d
An angle which is supplementary to an interior angle.
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...

7. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
130pi
$3 -500 in the 9% and $2 -500 in the 7%.
The empty set - denoted by a circle with a diagonal through it.
500

8. What are the members or elements of a set?
72
N! / (n-k)!
The objects within a set.
N! / (k!)(n-k)!

9. 413.03 x 10^(-4) =
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)
Relationship cannot be determined (what if x is negative?)
The set of elements found in both A and B.
413.03 / 10^4 (move the decimal point 4 places to the left)

10. What is a subset?
13
3sqrt4
Part = Percent X Whole
A grouping of the members within a set based on a shared characteristic.

11. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
1/2 times 7/3
F(x + c)
An isosceles right triangle.
10! / (10-3)! = 720

12. How many 3-digit positive integers are even and do not contain the digit 4?
The longest arc between points A and B on a circle'S diameter.
Part = Percent X Whole
x(x - y + 1)
288 (8 9 4)

13. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
55%
13pi / 2
The steeper the slope.
75:11

14. What is the 'Solution' for a set of inequalities.
N! / (n-k)!
x^(6-3) = x^3
The overlapping sections.
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)

15. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
C = 2(pi)r
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
3/2 - 5/3

16. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
87.5%
A 30-60-90 triangle.
70

17. Evaluate (4^3)^2
4096
The set of input values for a function.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a + b)^2

18. Surface area for a cylinder?
I
II
2(pi)r^2 + 2(pi)rh
16.6666%

19. What does the graph (x+2)^2 + (y+2)^2 = 9 look like?
6
A circle centered at -2 - -2 with radius 3.
62.5%
87.5%

20. Which quandrant is the lower right hand?
Infinite.
IV
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
1/a^6

21. Circumference of a circle?
An isosceles right triangle.
From northeast - counterclockwise. I - II - III - IV
Diameter(Pi)
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)

22. What is an isoceles triangle?
The curve opens upward and the vertex is the minimal point on the graph.
Two equal sides and two equal angles.
No - only like radicals can be added.
x^(2(4)) =x^8 = (x^4)^2

23. Evaluate 3& 2/7 / 1/3
4725
(a - b)^2
9 & 6/7
6

24. Which is greater? 200x^295 or 10x^294?
70
Relationship cannot be determined (what if x is negative?)
53 - 59
11 - 13 - 17 - 19

25. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
A central angle is an angle formed by 2 radii.
4:5
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
A = I (1 + rt)

26. Legs 5 - 12. Hypotenuse?
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)
8
1:1:sqrt2
13

27. A company places a 6-symbol code on each product. The code consists of the letter T - followed by 3 numerical digits - and then 2 consonants (Y is a conson). How many codes are possible?
441000 = 1 10 10 10 21 * 21
A set with a number of elements which can be counted.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Relationship cannot be determined (what if x is negative?)

28. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Relationship cannot be determined (what if x is negative?)
10! / (10-3)! = 720
A reflection about the axis.

29. Which quadrant is the lower left hand?
III
1
10! / 3!(10-3)! = 120
Yes - like radicals can be added/subtracted.

30. Length of an arc of a circle?
N! / (n-k)!
500
Angle/360 x 2(pi)r
$11 -448

31. How to find the area of a sector?
1:1:sqrt2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Angle/360 x (pi)r^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

32. a^2 - 2ab + b^2
4a^2(b)
(a - b)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
62.5%

33. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
5
1
The greatest value minus the smallest.

34. What does the graph x^2 + y^2 = 64 look like?
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
A circle centered on the origin with radius 8.
53 - 59
20.5

35. 3/8 in percent?
F(x + c)
The set of elements found in both A and B.
37.5%
(base*height) / 2

36. What is a minor arc?

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37. a^0 =
1
Lies opposite the greater angle
72
70

38. What are complementary angles?
The interesection of A and B.
75:11
Two angles whose sum is 90.
3sqrt4

39. To multiply a number by 10^x
Move the decimal point to the right x places
A 30-60-90 triangle.
The set of output values for a function.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

40. 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?
67 - 71 - 73
F(x + c)
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
4:5

41. How to determine percent decrease?
A = I (1 + rt)
No - the input value has exactly one output.
90
(amount of decrease/original price) x 100%

42. sqrt 2(sqrt 6)=
1:1:sqrt2
Sqrt 12
Sector area = (n/360) X (pi)r^2
48

43. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
(base*height) / 2
No - the input value has exactly one output.

44. 20<all primes<30
(a + b)^2
23 - 29
Area of the base X height = (pi)hr^2
x(x - y + 1)

45. What is the 'domain' of a function?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
(n-2) x 180
52
The set of input values for a function.

46. 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?
61 - 67
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)
10! / 3!(10-3)! = 120
The objects within a set.

47. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
Two angles whose sum is 90.
70
87.5%

48. 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?
2.592 kg
11 - 13 - 17 - 19
.0004809 X 10^11
3

49. What is the measure of an exterior angle of a regular pentagon?
72
71 - 73 - 79
From northeast - counterclockwise. I - II - III - IV
180 degrees

50. When does a function automatically have a restricted domain (2)?
A tangent is a line that only touches one point on the circumference of a circle.
A chord is a line segment joining two points on a circle.
(amount of decrease/original price) x 100%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.