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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. What are 'Supplementary angles?'
y = (x + 5)/2
y2-y1/x2-x1
Two angles whose sum is 180.
Ø=P(E)=1

2. The product of odd number of negative numbers
An is positive
Negative
An expression with just one term (-6x - 2a^2)
$3 -500 in the 9% and $2 -500 in the 7%.

3. Write 10 -843 X 10^7 in scientific notation
P= 2L + 2w
1.0843 X 10^11
P(E) = ø
180 degrees

4. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
The sum of its digits is divisible by 3.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Ø=P(E)=1
3

5. What does scientific notation mean?
x²-y²
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A<-b
13

6. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Do not have slopes!
Cd
x²-y²
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.)

7. What are congruent triangles?
x²-2xy+y²
Triangles with same measure and same side lengths.
71 - 73 - 79
A<-b

8. Formula to find a circle'S circumference from its diameter?
C = (pi)d
(rate)(time) d=rt
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
An infinite set.

9. 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?
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)
2.592 kg
5
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.)

10. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
angle that is greater than 90° but less than 180°
(rate)(time) d=rt
28. n = 8 - k = 2. n! / k!(n-k)!
1:sqrt3:2

11. Pi is a ratio of what to what?

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12. If y is directly proportional to x - what does it equal?
y/x is a constant
130pi
an angle that is less than 90°
1

13. 25/2³
75:11
Do not have slopes!
2²
Negative

14. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
The point of intersection of the systems.
2 & 3/7
The sum of digits is divisible by 9.
The overlapping sections.

15. P and r are factors of 100. What is greater - pr or 100?
72
Be Zero!
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Indeterminable.

16. Formula to find a circle'S circumference from its radius?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A reflection about the origin.
C = 2(pi)r
12sqrt2

17. The percent decrease of a quantity
The second graph is less steep.
Ø Ø=Ø
3 - 4 - 5
= (actual decrease/Original amount) x 100%

18. What is a tangent?
The greatest value minus the smallest.
A tangent is a line that only touches one point on the circumference of a circle.
Its divisible by 2 and by 3.
x²-2xy+y²

19. If Event is impossible
P(E) = ø
1:sqrt3:2
67 - 71 - 73
500

20. If a is negative and n is even then an is (positive or negative?)
A percent is a fraction whose denominator is 100.
x²-2xy+y²
1
An is positive

21. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
A 30-60-90 triangle.
3x - 4x - 5x
The point of intersection of the systems.

22. What is the maximum value for the function g(x) = (-2x^2) -1?
1
Two (Ø×2=Ø)
The direction of the inequality is reversed.
Members or elements

23. x^2 = 9. What is the value of x?
3 - -3
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.
x - x(SR3) - 2x
48

24. What is a major arc?

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25. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
The steeper the slope.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
6

26. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
The set of elements which can be found in either A or B.
x(x - y + 1)
Pi is the ratio of a circle'S circumference to its diameter.

27. x^4 + x^7 =
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.
x^(4+7) = x^11
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)
P=4s (s=side)

28. What are the rational numbers?
Positive
Even prime number
90
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

29. What is the area of a regular hexagon with side 6?
y = 2x^2 - 3
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Positive
The sum of its digits is divisible by 3.

30. 0^0
Undefined
6
X
6 : 1 : 2

31. Rate
8
D/t (distance)/(time)
M= (Y1-Y2)/(X1-X2)
10! / (10-3)! = 720

32. Important properties of a 30-60-90 triangle?
Parallelogram
(x+y)(x-y)
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
P=4s (s=side)

33. Time
A-b is negative
(distance)/(rate) d/r
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
72

34. The consecutive angles in a parallelogram equal
A-b is positive
Ø
x²-2xy+y²
180°

35. A number is divisible by 4 is...
An is positive
62.5%
Its last two digits are divisible by 4.
1 - P(E)

36. factored binomial product of (x+y)²
A chord is a line segment joining two points on a circle.
The shortest arc between points A and B on a circle'S diameter.
Every number
x²+2xy+y²

37. What number between 70 & 75 - inclusive - has the greatest number of factors?
72
Ab+ac
y = 2x^2 - 3
The point of intersection of the systems.

38. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
Undefined
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.)
1/a^6

39. Formula for the area of a sector of a circle?
Subtract them. i.e (5^7)/(5^3)= 5^4
Sector area = (n/360) X (pi)r^2
Null
1.0843 X 10^11

40. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Ø=P(E)=1
71 - 73 - 79
(pi)r²

41. 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?
An arc is a portion of a circumference of a circle.
Right
28
441000 = 1 10 10 10 21 * 21

42. The ratio of the areas of two similar polygons is ...
A multiple of every integer
1/x
(a - b)(a + b)
... the square of the ratios of the corresponding sides.

43. What is an arc of a circle?
360°
55%
The set of output values for a function.
An arc is a portion of a circumference of a circle.

44. a^2 - b^2 =
B?b?b (where b is used as a factor n times)
P=4s (s=side)
(a - b)(a + b)
1

45. What are complementary angles?
The second graph is less steep.
Two angles whose sum is 90.
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
zero

46. Ø Is
The sum of the digits is a multiple of 9.
EVEN
3 - -3
1:sqrt3:2

47. a^0 =
D/t (distance)/(time)
Even
The sum of the digits is a multiple of 9.
1

48. 1n
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.)
(length)(width)(height)
Null
1

49. 25+2³
(a - b)(a + b)
A set with no members - denoted by a circle with a diagonal through it.
28
A 30-60-90 triangle.

50. How many 3-digit positive integers are even and do not contain the digit 4?
28
Reciprocal
288 (8 9 4)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

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GRE Math: All In One

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