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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. 3/8 in percent?
0
37.5%
360°
The two xes after factoring.

2. What is an arc of a circle?
61 - 67
(a + b)^2
An arc is a portion of a circumference of a circle.
The sum of digits is divisible by 9.

3. 30 60 90
5 - 12 - 13
V=l×w×h
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Subtract them. i.e (5^7)/(5^3)= 5^4

4. Area of a triangle?
9
360°
(base*height) / 2
Distance=rate×time or d=rt

5. Slope
1:1:sqrt2
Ø
y2-y1/x2-x1
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

6. What are 'Supplementary angles?'
Every number
A-b is positive
27
Two angles whose sum is 180.

7. A number is divisible by 9 if...
A set with no members - denoted by a circle with a diagonal through it.
The sum of digits is divisible by 9.
12! / 5!7! = 792
180°

8. 1 is a divisor of
The set of input values for a function.
Every number
Its last two digits are divisible by 4.
x(x - y + 1)

9. Find distance when given time and rate
The objects within a set.
D=rt so r= d/t and t=d/r
an angle that is less than 90°
62.5%

10. a^0 =
1/x
Positive or Negative
1
A set with a number of elements which can be counted.

11. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
9 : 25
3 - -3
4.25 - 6 - 22

12. Slope of any line that goes down as you move from left to right is
Negative
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)
53 - 59
Edge³

13. a>b then a - b is positive or negative?
5 - 12 - 13
A-b is positive
360°
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)

14. Formula for the area of a circle?
90
3 - 4 - 5
D/t (distance)/(time)
A = pi(r^2)

15. If E is certain
B?b?b (where b is used as a factor n times)
P=2(l+w)
5
P(E) = 1/1 = 1

16. b¹
y = (x + 5)/2
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
1
Move the decimal point to the right x places

17. Can you simplify sqrt72?
A<-b
B?b?b (where b is used as a factor n times)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

18. Simplify the expression [(b^2 - c^2) / (b - c)]
500
75:11
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(b + c)

19. What is the intersection of A and B?
The set of elements found in both A and B.
500
= (actual decrease/Original amount) x 100%
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

20. x^2 = 9. What is the value of x?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
3 - -3
90°
1:1:sqrt2

21. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
F(x + c)
(amount of decrease/original price) x 100%
3
1

22. 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?
y/x is a constant
1
1:sqrt3:2
N! / (k!)(n-k)!

23. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
6
C = 2(pi)r
y/x is a constant
500

24. 25^(1/2) or sqrt. 25 =
5 OR -5
41 - 43 - 47
an angle that is less than 90°
Positive

25. Volume of a rectangular solid
(length)(width)(height)
.0004809 X 10^11
4725
Pi is the ratio of a circle'S circumference to its diameter.

26. The product of any number x and its reciprocal
A set with a number of elements which can be counted.
2^9 / 2 = 256
1
5 - 12 - 13

27. What is a major arc?

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28. The sum of the measures of the n angles in a polygon with n sides
(n-2) x 180
The point of intersection of the systems.
(amount of decrease/original price) x 100%
V=Lwh

29. 5/6 in percent?
83.333%
C=2 x pi x r OR pi x D
A reflection about the axis.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

30. What is a subset?
A grouping of the members within a set based on a shared characteristic.
The empty set - denoted by a circle with a diagonal through it.
3
An infinite set.

31. How to recognize a multiple of 6
6
1 - P(E)
A reflection about the axis.
Sum of digits is a multiple of 3 and the last digit is even.

32. Convert 0.7% to a fraction.
7 / 1000
72
48
(n-2) x 180

33. What is an isoceles triangle?
4:5
28
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Two equal sides and two equal angles.

34. What is the measure of an exterior angle of a regular pentagon?
72
D/t (distance)/(time)
Parallelogram
Undefined

35. 10<all primes<20
1:1:sqrt2
11 - 13 - 17 - 19
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
72

36. What is the 'Solution' for a system of linear equations?
An angle which is supplementary to an interior angle.
5 OR -5
NOT A PRIME
The point of intersection of the systems.

37. A number is divisible by 3 if ...
Sum of digits is a multiple of 3 and the last digit is even.
Pi is the ratio of a circle'S circumference to its diameter.
The sum of its digits is divisible by 3.
The set of elements found in both A and B.

38. 10^6 has how many zeroes?
6
2²
An infinite set.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

39. (x+y)²
Ø Ø=Ø
Negative
x²+2xy+y²
Subtract them. i.e (5^7)/(5^3)= 5^4

40. The larger the absolute value of the slope...
The steeper the slope.
31 - 37
y = 2x^2 - 3
3x - 4x - 5x

41. What is the 'union' of A and B?
A 30-60-90 triangle.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x-c)
The set of elements which can be found in either A or B.

42. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
1.0843 X 10^11
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
12! / 5!7! = 792
A subset.

43. The ratio of the areas of two similar polygons is ...
M= (Y1-Y2)/(X1-X2)
2(pi)r
1
... the square of the ratios of the corresponding sides.

44. What is the surface area of a cylinder with radius 5 and height 8?
Null
A multiple of every integer
3x - 4x - 5x
130pi

45. What is an exterior angle?
(a - b)^2
An angle which is supplementary to an interior angle.
P=2(l+w)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

46. Ø is a multiple of
Two (Ø×2=Ø)
Ab+ac
Add them. i.e. (5^7) * (5^3) = 5^10
x - x(SR3) - 2x

47. What does scientific notation mean?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Parallelogram
Every number
The set of output values for a function.

48. Simplify the expression (p^2 - q^2)/ -5(q - p)
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Two equal sides and two equal angles.
(p + q)/5
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

49. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
71 - 73 - 79
P(E) = number of favorable outcomes/total number of possible outcomes

50. How to recognize a # as a multiple of 9
C = 2(pi)r
The sum of the digits is a multiple of 9.
A tangent is a line that only touches one point on the circumference of a circle.
The greatest value minus the smallest.

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GRE Math: All In One

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