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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. Reduce: 4.8 : 0.8 : 1.6
6 : 1 : 2
37.5%
1 - P(E)
9 : 25

2. 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 percent is a fraction whose denominator is 100.
Ø Ø=Ø
Null
9 : 25

3. What number between 70 & 75 - inclusive - has the greatest number of factors?
1/a^6
360°
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
72

4. Obtuse Angle
2sqrt6
angle that is greater than 90° but less than 180°
0
23 - 29

5. What is an isoceles triangle?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Two equal sides and two equal angles.
180°
0

6. What does scientific notation mean?
A=(base)(height)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
5 OR -5
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

7. What percent of 40 is 22?
x²+2xy+y²
20.5
X
55%

8. 1/2 divided by 3/7 is the same as
M
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.)
1/2 times 7/3
Ab=k (k is a constant)

9. The only number that is equal to its opposite
A set with a number of elements which can be counted.
Even prime number
P(E) = number of favorable outcomes/total number of possible outcomes
Ø Ø=Ø

10. In a Rectangle - each angles measures
The interesection of A and B.
Parallelogram
90°
180°

11. (2²)³
Ab+ac
P(E) = ø
The union of A and B.
26

12. a(b-c)
Ab-ac
(x+y)(x-y)
48
87.5%

13. (x-y)²
D/t (distance)/(time)
x²-2xy+y²
67 - 71 - 73
5 - 12 - 13

14. What are the real numbers?
The set of elements which can be found in either A or B.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
x²-2xy+y²
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)

15. 1 is a divisor of
1/x
(a + b)^2
Every number
Null

16. Slope of any line that goes down as you move from left to right is
1:1:sqrt2
1
Negative
Lies opposite the greater angle

17. The product of any number x and its reciprocal
ODD number
4725
70
1

18. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
288 (8 9 4)
Null
71 - 73 - 79

19. 10<all primes<20
x^(2(4)) =x^8 = (x^4)^2
5
3/2 - 5/3
11 - 13 - 17 - 19

20. Important properties of a 30-60-90 triangle?
A subset.
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
90

21. 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?
The overlapping sections.
Sum of digits is a multiple of 3 and the last digit is even.
3 - 4 - 5
N! / (k!)(n-k)!

22. For any number x
Can be negative - zero - or positive
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
18
An angle which is supplementary to an interior angle.

23. What is a subset?
441000 = 1 10 10 10 21 * 21
No - only like radicals can be added.
A grouping of the members within a set based on a shared characteristic.
ODD number

24. 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
180
= (actual decrease/Original amount) x 100%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A = pi(r^2)

25. Convert 0.7% to a fraction.
7 / 1000
NOT A PRIME
A<-b
ODD number

26. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The greatest value minus the smallest.
180
180°

27. If Event is impossible
Lies opposite the greater angle
P(E) = ø
$3 -500 in the 9% and $2 -500 in the 7%.
180°

28. (6sqrt3) x (2sqrt5) =
Lies opposite the greater angle
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Indeterminable.
Yes - like radicals can be added/subtracted.

29. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
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.)
13pi / 2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
2sqrt6

30. Evaluate 4/11 + 11/12
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1:sqrt3:2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1 & 37/132

31. factored binomial product of (x-y)²
ODD number
A= (1/2) b*h
1
x²-2xy+y²

32. What is the area of a regular hexagon with side 6?
B?b?b (where b is used as a factor n times)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
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
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

33. 1/6 in percent?
Do not have slopes!
1/2 times 7/3
1:sqrt3:2
16.6666%

34. Evaluate (4^3)^2
4096
52
The set of input values for a function.
4:5

35. What is the graph of f(x) shifted right c units or spaces?
V=side³
F(x-c)
62.5%
Subtract them. i.e (5^7)/(5^3)= 5^4

36. 5x^2 - 35x -55 = 0
9
P(E) = number of favorable outcomes/total number of possible outcomes
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
V=side³

37. What are the integers?
All numbers multiples of 1.
x^(6-3) = x^3
The overlapping sections.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

38. Area of a circle
(pi)r²
An arc is a portion of a circumference of a circle.
The set of input values for a function.
180

39. To multiply a number by 10^x
An angle which is supplementary to an interior angle.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Move the decimal point to the right x places
180°

40. Ø Is neither
3 - 4 - 5
C = 2(pi)r
x²-2xy+y²
Positive or Negative

41. In a rectangle - all angles are
1/x
y/x is a constant
F(x) - c
Right

42. What are congruent triangles?
13
NOT A PRIME
90°
Triangles with same measure and same side lengths.

43. 25/2³
2²
20.5
The sum of digits is divisible by 9.
180

44. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
27
72
x - x(SR3) - 2x
1

45. The larger the absolute value of the slope...
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...
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.)
The steeper the slope.
0

46. 1 is an
6
ODD number
Undefined - because we can'T divide by 0.
Sum of digits is a multiple of 3 and the last digit is even.

47. What is an arc of a circle?
x(x - y + 1)
Negative
0
An arc is a portion of a circumference of a circle.

48. the measure of a straight angle
180°
The sum of digits is divisible by 9.
M
4:5

49. What is a chord of a circle?
2 & 3/7
(amount of decrease/original price) x 100%
The sum of the digits is a multiple of 9.
A chord is a line segment joining two points on a circle.

50. If an inequality is multiplied or divided by a negative number....
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)
The direction of the inequality is reversed.
1/2 times 7/3
A-b is positive

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GRE Math: All In One

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