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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.
Don't refresh. All questions and answers are randomly picked and ordered every time you load a test.

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. a^2 - 2ab + b^2
70
(a - b)^2
x^(4+7) = x^11
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.

2. In a rectangle - all angles are
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.)
87.5%
x^(6-3) = x^3
Right

3. a/Ø
The interesection of A and B.
Diameter(Pi)
Null
P(E) = 1/1 = 1

4. Ø divided by 7
F(x) + c
Ø
Even
6

5. Product of any number and Ø is
A set with a number of elements which can be counted.
Ø
Two angles whose sum is 180.
27

6. The sum of all angles around a point
360°
28
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
x - x(SR3) - 2x

7. Evaluate 4/11 + 11/12
75:11
P=2(l+w)
A tangent is a line that only touches one point on the circumference of a circle.
1 & 37/132

8. Factor x^2 - xy + x.
x(x - y + 1)
1/x
61 - 67
Can be negative - zero - or positive

9. What is an exterior angle?
Cd
X
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
An angle which is supplementary to an interior angle.

10. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
Ø
0
Straight Angle

11. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(b + c)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
52

12. x^4 + x^7 =
Its divisible by 2 and by 3.
The second graph is less steep.
x^(4+7) = x^11
A tangent is a line that only touches one point on the circumference of a circle.

13. 1 is a divisor of
Every number
288 (8 9 4)
x²-2xy+y²
P(E) = ø

14. Legs: 3 - 4. Hypotenuse?
A reflection about the origin.
5
500
Undefined - because we can'T divide by 0.

15. 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?
An isosceles right triangle.
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.)
3x - 4x - 5x
48

16. What are congruent triangles?
10! / (10-3)! = 720
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
Triangles with same measure and same side lengths.
P(E) = 1/1 = 1

17. Ø is a multiple of
The longest arc between points A and B on a circle'S diameter.
C=2 x pi x r OR pi x D
Every number
(a + b)^2

18. What are the real numbers?
500
Two equal sides and two equal angles.
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)
180

19. 1/6 in percent?
Be Zero!
16.6666%
The greatest value minus the smallest.
Undefined - because we can'T divide by 0.

20. Ø Is neither
The longest arc between points A and B on a circle'S diameter.
An expression with just one term (-6x - 2a^2)
Positive or Negative
11 - 13 - 17 - 19

21. formula for distance problems
A grouping of the members within a set based on a shared characteristic.
Distance=rate×time or d=rt
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
83.333%

22. When dividing exponential #s with the same base - you do this to the exponents...
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Subtract them. i.e (5^7)/(5^3)= 5^4
D/t (distance)/(time)
EVEN

23. Circumference of a circle
The longest arc between points A and B on a circle'S diameter.
2(pi)r
M
x^(6-3) = x^3

24. What is the ratio of the sides of a 30-60-90 triangle?
90pi
Be Zero!
Indeterminable.
1:sqrt3:2

25. What is a central angle?
M
Ab+ac
A central angle is an angle formed by 2 radii.
3/2 - 5/3

26. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
ODD number
20.5
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

27. a>b then a - b is positive or negative?
31 - 37
A-b is 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.)
(rate)(time) d=rt

28. (a^-1)/a^5
(a - b)(a + b)
1/a^6
(n-2) x 180
Edge³

29. Reduce: 4.8 : 0.8 : 1.6
Subtract them. i.e (5^7)/(5^3)= 5^4
4725
6 : 1 : 2
180 degrees

30. (12sqrt15) / (2sqrt5) =
55%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
P=2(l+w)
x^(2(4)) =x^8 = (x^4)^2

31. Legs 6 - 8. Hypotenuse?
D/t (distance)/(time)
Can be negative - zero - or positive
90pi
10

32. Formula for the area of a sector of a circle?
Sector area = (n/360) X (pi)r^2
Its last two digits are divisible by 4.
N! / (n-k)!
180°

33. If a is inversely porportional to b - what does it equal?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1.7
Ab=k (k is a constant)
1

34. Pythagorean theorem
x - x(SR3) - 2x
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
(a + b)^2
A²+b²=c²

35. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
31 - 37
2 & 3/7
x^(2(4)) =x^8 = (x^4)^2
75:11

36. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
5 - 12 - 13
Undefined
1

37. Probability of Event all cases
53 - 59
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
A=pi*(r^2)
Ø=P(E)=1

38. Rate
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...
M= (Y1-Y2)/(X1-X2)
D/t (distance)/(time)
The shortest arc between points A and B on a circle'S diameter.

39. What is a percent?
Straight Angle
A percent is a fraction whose denominator is 100.
180°
V=l×w×h

40. What are the irrational numbers?

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41. What is the graph of f(x) shifted left c units or spaces?
3x - 4x - 5x
13
A 30-60-90 triangle.
F(x + c)

42. 1/8 in percent?
an angle that is less than 90°
360°
12.5%
Move the decimal point to the right x places

43. Circumference of a circle?
A=pi*(r^2)
Diameter(Pi)
The set of elements which can be found in either A or B.
Distance=rate×time or d=rt

44. If Event is impossible
P(E) = ø
8
A percent is a fraction whose denominator is 100.
67 - 71 - 73

45. When multiplying exponential #s with the same base - you do this to the exponents...
P(E) = number of favorable outcomes/total number of possible outcomes
(length)(width)(height)
Add them. i.e. (5^7) * (5^3) = 5^10
P(E) = 1/1 = 1

46. (x^2)^4
28. n = 8 - k = 2. n! / k!(n-k)!
0
x^(2(4)) =x^8 = (x^4)^2
11 - 13 - 17 - 19

47. Slope
Positive
3/2 - 5/3
y2-y1/x2-x1
2sqrt6

48. Area of a circle
A=pi*(r^2)
5
41 - 43 - 47
61 - 67

49. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
6
1
2^9 / 2 = 256
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

50. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
(distance)/(rate) d/r
1
10! / (10-3)! = 720
1:sqrt3:2

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GRE Math: All In One

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