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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. Describe the relationship between 3x^2 and 3(x - 1)^2
x(x - y + 1)
A-b is positive
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
(length)(width)(height)

2. 1/Ø=null If a>b then
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
28. n = 8 - k = 2. n! / k!(n-k)!
A<-b
Ø

3. What is the 'Solution' for a system of linear equations?
Distance=rate×time or d=rt
27^(-4)
The point of intersection of the systems.
3/2 - 5/3

4. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
288 (8 9 4)
V=Lwh
N! / (k!)(n-k)!

5. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(x+y)(x-y)
1 - P(E)
1/x

6. Product of any number and Ø is
Ø
x²+2xy+y²
1
Indeterminable.

7. What is the graph of f(x) shifted left c units or spaces?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
M= (Y1-Y2)/(X1-X2)
Even
F(x + c)

8. factored binomial product of (x-y)²
True
The union of A and B.
Even prime number
x²-2xy+y²

9. (x^2)^4
(2x7)³
2 & 3/7
Straight Angle
x^(2(4)) =x^8 = (x^4)^2

10. What are 'Supplementary angles?'
9 & 6/7
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)
Triangles with same measure and same side lengths.
Two angles whose sum is 180.

11. (12sqrt15) / (2sqrt5) =
10! / 3!(10-3)! = 120
D/t (distance)/(time)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

12. Which is greater? 64^5 or 16^8
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Cd
130pi
A= (1/2) b*h

13. Find the surface area of a cylinder with radius 3 and height 12.
The overlapping sections.
9 : 25
90pi
0

14. What is the empty set?
The greatest value minus the smallest.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
87.5%
A set with no members - denoted by a circle with a diagonal through it.

15. the slope of a line in y=mx+b
(x+y)(x+y)
1
A tangent is a line that only touches one point on the circumference of a circle.
M

16. 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
N! / (k!)(n-k)!
EVEN
The set of output values for a function.

17. The objects in a set are called two names:
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)
Members or elements
180 degrees
3

18. Is 0 even or odd?
Do not have slopes!
(distance)/(rate) d/r
Even
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

19. First 10 prime #s
A<-b
180
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Negative

20. What are the integers?
Ø
Undefined
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
All numbers multiples of 1.

21. Slope of any line that goes down as you move from left to right is
4.25 - 6 - 22
Negative
Subtract them. i.e (5^7)/(5^3)= 5^4
360/n

22. Define an 'expression'.
x(x - y + 1)
1
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%

23. The only number that is equal to its opposite
Positive
Ø Ø=Ø
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
zero

24. 1/6 in percent?
D/t (distance)/(time)
6
zero
16.6666%

25. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
3
4725
Positive
1

26. a^0 =
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1
2sqrt6
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

27. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
13pi / 2
Be Zero!
6 : 1 : 2
.0004809 X 10^11

28. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
180 degrees
The sum of digits is divisible by 9.
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.)

29. a<b then a - b is positive or negative?
Edge³
The set of elements found in both A and B.
A-b is negative
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

30. What is the measure of an exterior angle of a regular pentagon?
72
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
An expression with just one term (-6x - 2a^2)
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

31. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
No - only like radicals can be added.
1:1:sqrt2

32. b¹
x²-y²
1
A multiple of every integer
180 degrees

33. A number is divisible by 9 if...
The set of output values for a function.
The sum of digits is divisible by 9.
All numbers multiples of 1.
A set with no members - denoted by a circle with a diagonal through it.

34. Ø Is
90pi
D/t (distance)/(time)
... the square of the ratios of the corresponding sides.
EVEN

35. How to recognize a multiple of 6
Sum of digits is a multiple of 3 and the last digit is even.
x^(6-3) = x^3
8
(distance)/(rate) d/r

36. factored binomial product of (x+y)²
x²+2xy+y²
(a - b)(a + b)
A tangent is a line that only touches one point on the circumference of a circle.
F(x) + c

37. An Angle that'S 180°
Positive
Straight Angle
3 - 4 - 5
P(E) = number of favorable outcomes/total number of possible outcomes

38. Evaluate 4/11 + 11/12
1 & 37/132
62.5%
Ø
72

39. 2 is the only
20.5
Even prime number
$11 -448
4a^2(b)

40. 6w^2 - w - 15 = 0
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
3/2 - 5/3
Yes - like radicals can be added/subtracted.
Distance=rate×time or d=rt

41. Which is greater? 200x^295 or 10x^294?
A = pi(r^2)
(pi)r²
Relationship cannot be determined (what if x is negative?)
1 & 37/132

42. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
P=2(l+w)
An infinite set.
F(x) + c
4:5

43. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
angle that is greater than 90° but less than 180°
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Null
2sqrt6

44. Positive integers that have exactly 2 positive divisors are
9 & 6/7
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
An angle which is supplementary to an interior angle.
C = 2(pi)r

45. Convert 0.7% to a fraction.
Ab+ac
7 / 1000
2sqrt6
An isosceles right triangle.

46. If E is certain
Ø
P(E) = 1/1 = 1
1:1:sqrt2
The sum of digits is divisible by 9.

47. 5/6 in percent?
288 (8 9 4)
83.333%
an angle that is less than 90°
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

48. Whats the difference between factors and multiples?
62.5%
9 : 25
Factors are few - multiples are many.
Negative

49. Ø is a multiple of
Two (Ø×2=Ø)
Cd
The direction of the inequality is reversed.
2sqrt6

50. a>b then a - b is positive or negative?
P(E) = 1/1 = 1
70
12sqrt2
A-b is positive

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GRE Math: All In One

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