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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. Volume of a cube
2²
Edge³
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
2^9 / 2 = 256

2. What is the 'Solution' for a system of linear equations?
(pi)r²
5
The point of intersection of the systems.
Two (Ø×2=Ø)

3. factored binomial product of (x+y)²
18
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
x²+2xy+y²
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.

4. Probability of an Event
41 - 43 - 47
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
P(E) = number of favorable outcomes/total number of possible outcomes

5. formula for volume of a rectangular solid
180°
70
67 - 71 - 73
V=l×w×h

6. (a^-1)/a^5
1/a^6
12! / 5!7! = 792
A = pi(r^2)
... the square of the ratios of the corresponding sides.

7. What is an arc of a circle?
Ab=k (k is a constant)
Right
Do not have slopes!
An arc is a portion of a circumference of a circle.

8. 1 is an
A subset.
4a^2(b)
ODD number
Negative

9. 8.84 / 5.2
Every number
1.7
y/x is a constant
The sum of its digits is divisible by 3.

10. What is a tangent?
72
13
A tangent is a line that only touches one point on the circumference of a circle.
20.5

11. The ratio of the areas of two similar polygons is ...
Ab+ac
... the square of the ratios of the corresponding sides.
V=side³
The set of elements which can be found in either A or B.

12. If E is certain
P(E) = 1/1 = 1
X
Be Zero!
True

13. The objects in a set are called two names:
2²
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Ab+ac
Members or elements

14. What is the set of elements which can be found in either A or B?
(x+y)(x-y)
The union of A and B.
1.0843 X 10^11
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

15. Area of a Parallelogram:
A multiple of every integer
1.7
1
A=(base)(height)

16. formula for distance problems
X
Distance=rate×time or d=rt
180 degrees
Lies opposite the greater angle

17. 5/8 in percent?
EVEN
Positive
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
62.5%

18. Ø is
Edge³
Even
The steeper the slope.
Diameter(Pi)

19. Evaluate (4^3)^2
23 - 29
NOT A PRIME
4096
Can be negative - zero - or positive

20. 2 is the only
A reflection about the origin.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Even prime number
The sum of the digits is a multiple of 9.

21. How many sides does a hexagon have?
0
16.6666%
6
x²+2xy+y²

22. The sum of the angles in a quadrilateral is
Add them. i.e. (5^7) * (5^3) = 5^10
No - only like radicals can be added.
360°
An arc is a portion of a circumference of a circle.

23. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
62.5%
y = (x + 5)/2
Even
5

24. Volume of a rectangular box
X
P=4s (s=side)
(a - b)(a + b)
V=Lwh

25. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Relationship cannot be determined (what if x is negative?)
ODD number
Indeterminable.

26. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
$3 -500 in the 9% and $2 -500 in the 7%.
1
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

27. a<b then a - b is positive or negative?
Ab-ac
An expression with just one term (-6x - 2a^2)
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)
A-b is negative

28. If a lamp increases from $80 to $100 - what is the percent increase?
The direction of the inequality is reversed.
x - x+1 - x+2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

29. Legs 5 - 12. Hypotenuse?
(a - b)(a + b)
13
130pi
61 - 67

30. a(b+c)
A grouping of the members within a set based on a shared characteristic.
Ab+ac
Two equal sides and two equal angles.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

31. 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?
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
All numbers multiples of 1.
Right
F(x) + c

32. How to recognize a # as a multiple of 9
90°
The sum of the digits is a multiple of 9.
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.
y = (x + 5)/2

33. What is the slope of a horizontal line?
0
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)
1/a^6
Two angles whose sum is 180.

34. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
A 30-60-90 triangle.
48
X
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

35. What is the intersection of A and B?
The set of elements found in both A and B.
Null
0
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

36. What is the order of operations?
2sqrt6
N! / (n-k)!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
11 - 13 - 17 - 19

37. Important properties of a 30-60-90 triangle?
Indeterminable.
$3 -500 in the 9% and $2 -500 in the 7%.
1/a^6
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

38. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Smallest positive integer
Two equal sides and two equal angles.
12! / 5!7! = 792

39. Product of any number and Ø is
No - only like radicals can be added.
0
The overlapping sections.
Ø

40. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
Ø
Do not have slopes!
Ø Ø=Ø
70

41. Pythagorean theorem
Move the decimal point to the right x places
F(x-c)
A²+b²=c²
130pi

42. Write 10 -843 X 10^7 in scientific notation
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)
1.0843 X 10^11
M
y2-y1/x2-x1

43. If a lamp decreases to $80 - from $100 - what is the decrease in price?
x²-2xy+y²
P=4s (s=side)
3 - 4 - 5
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

44. 1 is a divisor of
Every number
An expression with just one term (-6x - 2a^2)
4725
X

45. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
Null
The two xes after factoring.
An arc is a portion of a circumference of a circle.
48

46. 25+2³
M
The direction of the inequality is reversed.
x(x - y + 1)
28

47. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
The sum of its digits is divisible by 3.
13pi / 2
$11 -448
(a + b)^2

48. Simplify 9^(1/2) X 4^3 X 2^(-6)?
4725
y = 2x^2 - 3
3
(pi)r²

49. 20<all primes<30
P(E) = number of favorable outcomes/total number of possible outcomes
23 - 29
1
x²-2xy+y²

50. Formula for the area of a circle?
26
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A = pi(r^2)
A= (1/2) b*h

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GRE Math: All In One

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