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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. Formula for the area of a sector of a circle?
3
3 - -3
Sector area = (n/360) X (pi)r^2
An isosceles right triangle.

2. The larger the absolute value of the slope...
A circle centered at -2 - -2 with radius 3.
(a - b)(a + b)
F(x + c)
The steeper the slope.

3. What is the slope of a vertical line?

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4. Formula to calculate arc length?
Area of the base X height = (pi)hr^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
2.592 kg
4096

5. What is a chord of a circle?
A 30-60-90 triangle.
The second graph is less steep.
75:11
A chord is a line segment joining two points on a circle.

6. What is the maximum value for the function g(x) = (-2x^2) -1?
Undefined - because we can'T divide by 0.
1
Pi is the ratio of a circle'S circumference to its diameter.
180 degrees

7. What is the set of elements found in both A and B?
The interesection of A and B.
Angle/360 x 2(pi)r
180
Members or elements

8. 1/2 divided by 3/7 is the same as
5
Two angles whose sum is 90.
1/2 times 7/3
Sector area = (n/360) X (pi)r^2

9. 3/8 in percent?
G(x) = {x}
Undefined - because we can'T divide by 0.
1
37.5%

10. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
83.333%
y = (x + 5)/2
6

11. What is the 'Solution' for a set of inequalities.
The longest arc between points A and B on a circle'S diameter.
The overlapping sections.
11 - 13 - 17 - 19
1

12. 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
A chord is a line segment joining two points on a circle.
An isosceles right triangle.
The empty set - denoted by a circle with a diagonal through it.

13. What is the sum of the angles of a triangle?
180 degrees
(a - b)(a + b)
10! / (10-3)! = 720
x(x - y + 1)

14. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
True
13pi / 2
52

15. 2sqrt4 + sqrt4 =
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...
3 - -3
3sqrt4
Two angles whose sum is 90.

16. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
5
130pi
A 30-60-90 triangle.

17. 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
31 - 37
The empty set - denoted by a circle with a diagonal through it.
No - only like radicals can be added.

18. 8.84 / 5.2
A subset.
12sqrt2
9 & 6/7
1.7

19. What is a parabola?
Ax^2 + bx + c where a -b and c are constants and a /=0
5 OR -5
F(x) - c
G(x) = {x}

20. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
F(x) - c
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
An angle which is supplementary to an interior angle.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

21. (-1)^2 =
(a - b)^2
1
Members or elements
288 (8 9 4)

22. What is the 'Range' of a function?
1:sqrt3:2
An arc is a portion of a circumference of a circle.
The longest arc between points A and B on a circle'S diameter.
The set of output values for a function.

23. x^6 / x^3
1:sqrt3:2
x^(6-3) = x^3
A 30-60-90 triangle.
Even

24. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
...multiply by 100.
0
A tangent is a line that only touches one point on the circumference of a circle.
87.5%

25. 10<all primes<20
11 - 13 - 17 - 19
An isosceles right triangle.
500
The longest arc between points A and B on a circle'S diameter.

26. 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?
Cd
N! / (k!)(n-k)!
True
1/2 times 7/3

27. 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?
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)
10! / (10-3)! = 720
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 union of A and B.

28. (x^2)^4
The direction of the inequality is reversed.
x^(2(4)) =x^8 = (x^4)^2
An infinite set.
The set of elements which can be found in either A or B.

29. Legs 6 - 8. Hypotenuse?
1
10
Undefined - because we can'T divide by 0.
13

30. In a triangle inscribed inside a circle - where the diameter is one side of the triangle - which angle is largest?
Part = Percent X Whole
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Sector area = (n/360) X (pi)r^2

31. Which quadrant is the upper right hand?
C = 2(pi)r
F(x) + c
A circle centered on the origin with radius 8.
I

32. What is a subset?
1
A grouping of the members within a set based on a shared characteristic.
G(x) = {x}
Lies opposite the greater angle

33. Evaluate (4^3)^2
4096
The sum of digits is divisible by 9.
$11 -448
A circle centered at -2 - -2 with radius 3.

34. Surface area for a cylinder?
28. n = 8 - k = 2. n! / k!(n-k)!
The greatest value minus the smallest.
2(pi)r^2 + 2(pi)rh
90

35. Circumference of a circle?
1
IV
Diameter(Pi)
2

36. A number is divisible by 3 if ...
The set of output values for a function.
... the square of the ratios of the corresponding sides.
(a - b)(a + b)
The sum of its digits is divisible by 3.

37. What is a major arc?

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38. To convert a decimal to a percent...
...multiply by 100.
C = (pi)d
1 & 37/132
The point of intersection of the systems.

39. (-1)^3 =
(p + q)/5
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(a - b)(a + b)
1

40. How to find the diagonal of a rectangular solid?
The second graph is less steep.
1 & 37/132
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
1/a^6

41. P and r are factors of 100. What is greater - pr or 100?
F(x) + c
Indeterminable.
No - only like radicals can be added.
A reflection about the axis.

42. How many multiples does a given number have?
3 - -3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Infinite.

43. In a regular polygon with n sides - the formula for the sum of interior angles
Ax^2 + bx + c where a -b and c are constants and a /=0
(n-2) x 180
3
87.5%

44. a^2 - 2ab + b^2
The two xes after factoring.
(a - b)^2
27^(-4)
2

45. What is the slope of a horizontal line?
A circle centered on the origin with radius 8.
37.5%
1
0

46. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
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)
87.5%
180
9 : 25

47. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
Factors are few - multiples are many.
62.5%
11 - 13 - 17 - 19

48. How to find the circumference of a circle which circumscribes a square?
The set of input values for a function.
The longest arc between points A and B on a circle'S diameter.
3
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

49. (6sqrt3) x (2sqrt5) =
F(x + c)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
The objects within a set.
(a + b)^2

50. What is the ratio of the sides of an isosceles right triangle?
IV
F(x) + c
An infinite set.
1:1:sqrt2