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GRE Math: All In One

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. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
41 - 43 - 47
288 (8 9 4)

2. First 10 prime #s
1
The set of output values for a function.
A percent is a fraction whose denominator is 100.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

3. How to recognize a # as a multiple of 9
(a - b)(a + b)
The sum of the digits is a multiple of 9.
180
B?b?b (where b is used as a factor n times)

4. a(b-c)
Ab-ac
12! / 5!7! = 792
D/t (distance)/(time)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

5. a^2 - 2ab + b^2
72
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(a - b)^2
360/n

6. X is the opposite of
X
90
Its last two digits are divisible by 4.
53 - 59

7. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Members or elements
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A 30-60-90 triangle.

8. 4.809 X 10^7 =
3/2 - 5/3
.0004809 X 10^11
The set of output values for a function.
P=2(l+w)

9. factored binomial product of (x+y)²
A=½bh
x²+2xy+y²
3x - 4x - 5x
y = (x + 5)/2

10. What is the 'union' of A and B?
A-b is positive
1.7
The set of elements which can be found in either A or B.
= (actual decrease/Original amount) x 100%

11. 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?
Negative
A percent is a fraction whose denominator is 100.
Two angles whose sum is 180.
500

12. A number is divisible by 9 if...
A<-b
The sum of digits is divisible by 9.
Be Zero!
441000 = 1 10 10 10 21 * 21

13. 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?
9 : 25
(a + b)^2
(n-2) x 180
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

14. formula for distance problems
Distance=rate×time or d=rt
Every number
A subset.
Two angles whose sum is 90.

15. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
V=l×w×h
1
Straight Angle
y = 2x^2 - 3

16. When does a function automatically have a restricted domain (2)?
Two (Ø×2=Ø)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
3/2 - 5/3

17. a(b+c)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Ab+ac
A percent is a fraction whose denominator is 100.
1:1:sqrt2

18. Evaluate (4^3)^2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4096
An arc is a portion of a circumference of a circle.
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

19. Describe the relationship between the graphs of x^2 and (1/2)x^2
Ø Ø=Ø
The second graph is less steep.
3
3 - 4 - 5

20. Area of a triangle?
An angle which is supplementary to an interior angle.
(base*height) / 2
A percent is a fraction whose denominator is 100.
A= (1/2) b*h

21. The sum of the angles in a quadrilateral is
180
360°
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
Sum of digits is a multiple of 3 and the last digit is even.

22. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Add them. i.e. (5^7) * (5^3) = 5^10
Triangles with same measure and same side lengths.
500

23. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
X
All numbers multiples of 1.
Two (Ø×2=Ø)

24. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
Subtract them. i.e (5^7)/(5^3)= 5^4
$3 -500 in the 9% and $2 -500 in the 7%.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

25. Area of a rectangle
A = length x width
1
Right
True

26. 1 is a divisor of
Every number
= (actual decrease/Original amount) x 100%
The longest arc between points A and B on a circle'S diameter.
Straight Angle

27. Formula for the area of a circle?
Yes - like radicals can be added/subtracted.
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x
A = pi(r^2)
Infinite.

28. Factor x^2 - xy + x.
(a + b)^2
Ø
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x(x - y + 1)

29. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
2²
Reciprocal
An expression with just one term (-6x - 2a^2)
180

30. x^4 + x^7 =
x^(4+7) = x^11
7 / 1000
y = (x + 5)/2
1

31. (6sqrt3) x (2sqrt5) =
3x - 4x - 5x
2 & 3/7
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Smallest positive integer

32. The sum of all angles around a point
360°
(rate)(time) d=rt
x - x+1 - x+2
61 - 67

33. Legs 5 - 12. Hypotenuse?
13
y2-y1/x2-x1
500
The set of input values for a function.

34. 3/8 in percent?
3 - 4 - 5
F(x) + c
37.5%
3 - -3

35. Simplify the expression (p^2 - q^2)/ -5(q - p)
The set of elements found in both A and B.
1.0843 X 10^11
y/x is a constant
(p + q)/5

36. 8.84 / 5.2
1.7
The interesection of A and B.
Indeterminable.
Lies opposite the greater angle

37. How to recognize a multiple of 6
1.0843 X 10^11
The sum of its digits is divisible by 3.
F(x) + c
Sum of digits is a multiple of 3 and the last digit is even.

38. Define an 'expression'.
The overlapping sections.
The greatest value minus the smallest.
The longest arc between points A and B on a circle'S diameter.
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)

39. Area of a triangle
72
3
A= (1/2) b*h
EVEN

40. What is the set of elements found in both A and B?
M= (Y1-Y2)/(X1-X2)
The interesection of A and B.
Be Zero!
A²+b²=c²

41. What is a major arc?

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42. What is the graph of f(x) shifted left c units or spaces?
Undefined
F(x + c)
Sector area = (n/360) X (pi)r^2
The triangle is a right triangle. The hypotenuse is twice the length of the shorter leg. The ratio of the length of the three sides is x:xv3:2x

43. 5/8 in percent?
A = length x width
No - only like radicals can be added.
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)
62.5%

44. How to recognize if a # is a multiple of 12
Even
x²-y²
6 : 1 : 2
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)

45. 1/6 in percent?
16.6666%
The objects within a set.
Undefined
Triangles with same measure and same side lengths.

46. The reciprocal of any non-zero #x is
55%
The steeper the slope.
1/x
Two angles whose sum is 180.

47. a<b then a - b is positive or negative?
11 - 13 - 17 - 19
A-b is negative
F(x) + c
2

48. a^0 =
Factors are few - multiples are many.
180°
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
1

49. What is the order of operations?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
9 & 6/7

50. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
3
Positive or Negative
$3 -500 in the 9% and $2 -500 in the 7%.
y = 2x^2 - 3

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GRE Math: All In One

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