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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. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
F(x) - c
1
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.

2. Order of quadrants:
413.03 / 10^4 (move the decimal point 4 places to the left)
From northeast - counterclockwise. I - II - III - IV
3 - -3
A central angle is an angle formed by 2 radii.

3. Can the output value of a function have more than one input value?
Yes. [i.e. f(x) = x^2 - 1
1
G(x) = {x}
The greatest value minus the smallest.

4. 0^0
27^(-4)
The sum of its digits is divisible by 3.
Undefined
1

5. What is a minor arc?

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6. The slope of a line perpendicular to (a/b)?
Area of the base X height = (pi)hr^2
The angle intersecting the circumference is always the largest angle - and is always 90 degrees.
The union of A and B.
Its negative reciprocal. (-b/a)

7. To convert a percent to a fraction....
Undefined
The longest arc between points A and B on a circle'S diameter.
Divide by 100.
1 & 37/132

8. Formula for the area of a circle?
Infinite.
5 OR -5
Lies opposite the greater angle
A = pi(r^2)

9. What is a central angle?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
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...
A central angle is an angle formed by 2 radii.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

10. In a regular polygon with n sides - the formula for the sum of interior angles
Members or elements
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
(n-2) x 180
2 & 3/7

11. The ratio of the areas of two similar polygons is ...
An expression with just one term (-6x - 2a^2)
... the square of the ratios of the corresponding sides.
9 : 25
F(x) - c

12. 50 < all primes< 60
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
The objects within a set.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
53 - 59

13. What is the side length of an equilateral triangle with altitude 6?
y = 2x^2 - 3
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
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...
55%

14. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Two angles whose sum is 90.
1:sqrt3:2
An isosceles right triangle.
The overlapping sections.

15. What are the smallest three prime numbers greater than 65?
3 - -3
6
4a^2(b)
67 - 71 - 73

16. What are the roots of the quadrinomial x^2 + 2x + 1?
90pi
The two xes after factoring.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 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)

17. What is the graph of f(x) shifted upward c units or spaces?
No - the input value has exactly one output.
2(pi)r^2 + 2(pi)rh
x(x - y + 1)
F(x) + c

18. a^2 - b^2
No - the input value has exactly one output.
(a - b)(a + b)
x(x - y + 1)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

19. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
Its divisible by 2 and by 3.
71 - 73 - 79
37.5%

20. 20<all primes<30
An arc is a portion of a circumference of a circle.
Factors are few - multiples are many.
23 - 29
The longest arc between points A and B on a circle'S diameter.

21. Formula for the area of a sector of a circle?
Sqrt 12
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Undefined
Sector area = (n/360) X (pi)r^2

22. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
The set of input values for a function.
Two angles whose sum is 90.
x= (1.2)(.8)lw

23. What is the ratio of the sides of a 30-60-90 triangle?
(a - b)(a + b)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1:sqrt3:2
2 & 3/7

24. Describe the relationship between 3x^2 and 3(x - 1)^2
The overlapping sections.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
x= (1.2)(.8)lw
The union of A and B.

25. 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)]?
F(x + c)
Angle/360 x (pi)r^2
True
413.03 / 10^4 (move the decimal point 4 places to the left)

26. What is the set of elements which can be found in either A or B?
5 OR -5
The union of A and B.
No - the input value has exactly one output.
The greatest value minus the smallest.

27. Simplify 9^(1/2) X 4^3 X 2^(-6)?
The third side is greater than the difference and less than the sum.
52
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
3

28. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
A 30-60-90 triangle.
Factors are few - multiples are many.
6

29. 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
52
71 - 73 - 79
2sqrt6

30. 10^6 has how many zeroes?
6
4:5
All numbers multiples of 1.
1/2 times 7/3

31. Legs 5 - 12. Hypotenuse?
13
F(x) - c
4a^2(b)
Its divisible by 2 and by 3.

32. The larger the absolute value of the slope...
F(x) - c
Divide by 100.
The steeper the slope.
A set with a number of elements which can be counted.

33. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
90 degrees
5 OR -5
(a + b)^2
2^9 / 2 = 256

34. What percent of 40 is 22?
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).
55%
Diameter(Pi)
y = 2x^2 - 3

35. Can the input value of a function have more than one output value (i.e. x: y - y1)?
No - the input value has exactly one output.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
F(x) + c

36. What is the 'Solution' for a set of inequalities.
y = (x + 5)/2
4725
70
The overlapping sections.

37. What is a major arc?

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38. How to find the diagonal of a rectangular solid?
12! / 5!7! = 792
7 / 1000
2.592 kg
Use Pythagorean theorem twice. (Once across the surface and then a is the diagonal of surface and b is an edge).

39. What is the surface area of a cylinder with radius 5 and height 8?
A reflection about the axis.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
All numbers multiples of 1.
130pi

40. What is the graph of f(x) shifted right c units or spaces?
It is a function defined by more than one equation - where each equation applies to a different part of the domain of the function.
F(x-c)
90pi
10

41. Number of degrees in a triangle
12sqrt2
The steeper the slope.
180
5 OR -5

42. Evaluate 3& 2/7 / 1/3
9 & 6/7
11 - 13 - 17 - 19
The longest arc between points A and B on a circle'S diameter.
(amount of decrease/original price) x 100%

43. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
2
All numbers multiples of 1.
F(x) + c

44. Which is greater? 64^5 or 16^8
II
The curve opens downward and the vertex is the maximum point on the graph.
12.5%
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16

45. x^4 + x^7 =
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
x^(4+7) = x^11
0

46. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The greatest value minus the smallest.
4725
An expression with just one term (-6x - 2a^2)
C = 2(pi)r

47. (-1)^3 =
(amount of decrease/original price) x 100%
1
Angle/360 x 2(pi)r
Relationship cannot be determined (what if x is negative?)

48. What is the 'Range' of a function?
16^8 - 64^5 = (4^3)^5 = 4^15 - 16^8=(4^2)^8 = 4^16
A = I (1 + rt)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The set of output values for a function.

49. What is a subset?
A grouping of the members within a set based on a shared characteristic.
F(x-c)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Diameter(Pi)

50. How to determine percent decrease?
41 - 43 - 47
(amount of decrease/original price) x 100%
A central angle is an angle formed by 2 radii.
13