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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. What is a subset?
A grouping of the members within a set based on a shared characteristic.
90pi
4096
zero

2. Ø divided by 7
13pi / 2
An expression with just one term (-6x - 2a^2)
Ø
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

3. Positive integers that have exactly 2 positive divisors are
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Negative
1.0843 X 10^11
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

4. 30 60 90
x²-y²
The steeper the slope.
x - x(SR3) - 2x
1

5. What is a central angle?
(amount of decrease/original price) x 100%
62.5%
A central angle is an angle formed by 2 radii.
41 - 43 - 47

6. Obtuse Angle
Even prime number
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.
an angle that is less than 90°

7. The sum of all angles around a point
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
10
360°
y = 2x^2 - 3

8. Simplify the expression [(b^2 - c^2) / (b - c)]
2 & 3/7
Subtract them. i.e (5^7)/(5^3)= 5^4
(b + c)
B?b?b (where b is used as a factor n times)

9. What is the slope of a horizontal line?
C = 2(pi)r
Ø
0
70

10. Probability of E not occurring:
A-b is negative
1 - P(E)
A=½bh
1

11. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
x^(4+7) = x^11
4a^2(b)
11 - 13 - 17 - 19

12. What is an exterior angle?
(rate)(time) d=rt
... the square of the ratios of the corresponding sides.
(a - b)^2
An angle which is supplementary to an interior angle.

13. What is the surface area of a cylinder with radius 5 and height 8?
130pi
4.25 - 6 - 22
Two angles whose sum is 180.
Cd

14. 1n
1
Do not have slopes!
The point of intersection of the systems.
An angle which is supplementary to an interior angle.

15. Dividing by a number is the same as multiplying it by its
Positive
Reciprocal
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.)
Do not have slopes!

16. Find distance when given time and rate
D=rt so r= d/t and t=d/r
Infinite.
Ø
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

17. A prime number (or a prime)
A-b is positive
X
A natural number greater than 1 that has no positive divisors other than 1 and itself
(a + b)^2

18. What is the set of elements found in both A and B?
The interesection of A and B.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Ø

19. 7 divided by Ø
Null
1/x
(a - b)^2
90°

20. What is an arc of a circle?
500
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
An arc is a portion of a circumference of a circle.
F(x) + c

21. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The sum of digits is divisible by 9.
1
V=l×w×h
True

22. What is the ratio of the sides of a 30-60-90 triangle?
x^(4+7) = x^11
75:11
Can be negative - zero - or positive
1:sqrt3:2

23. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
.0004809 X 10^11
0
Every number
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

24. First 10 prime #s
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
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
9
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

25. 7/8 in percent?
87.5%
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
3/2 - 5/3
1 & 37/132

26. Volume of a cube
26
Undefined - because we can'T divide by 0.
.0004809 X 10^11
Edge³

27. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
C=2 x pi x r OR pi x D
Null
Cd
Ab-ac

28. Evaluate 3& 2/7 / 1/3
Every number
(2x7)³
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.
9 & 6/7

29. What is the measure of an exterior angle of a regular pentagon?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
72
67 - 71 - 73
Arc length = (n/360) x pi(2r) where n is the number of degrees.

30. If the two sides of a triangle are unequal then the longer side.................
31 - 37
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Lies opposite the greater angle
x^(2(4)) =x^8 = (x^4)^2

31. 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?
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
441000 = 1 10 10 10 21 * 21
x²-2xy+y²
288 (8 9 4)

32. How many multiples does a given number have?
y = 2x^2 - 3
The union of A and B.
(base*height) / 2
Infinite.

33. Area of a Parallelogram:
y = 2x^2 - 3
A=(base)(height)
A percent is a fraction whose denominator is 100.
Ab=k (k is a constant)

34. Ø is
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)
Even
Members or elements
C = 2(pi)r

35. To decrease a number by x%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4725
1.0843 X 10^11
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

36. 5/6 in percent?
5 - 12 - 13
83.333%
An expression with just one term (-6x - 2a^2)
P=2(l+w)

37. Ø is a multiple of
10! / (10-3)! = 720
D/t (distance)/(time)
Every number
72

38. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
The second graph is less steep.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
$3 -500 in the 9% and $2 -500 in the 7%.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

39. 25+2³
A reflection about the axis.
2²
28
Can be negative - zero - or positive

40. To multiply a number by 10^x
Move the decimal point to the right x places
D=rt so r= d/t and t=d/r
53 - 59
A multiple of every integer

41. a<b then a - b is positive or negative?
A-b is negative
A=pi*(r^2)
90
A+c<b+c

42. binomial product of (x+y)(x-y)
A set with a number of elements which can be counted.
Parallelogram
x²-y²
90°

43. Ø Is neither
Positive or Negative
12sqrt2
The set of output values for a function.
4725

44. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
12! / 5!7! = 792
71 - 73 - 79
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
A tangent is a line that only touches one point on the circumference of a circle.

45. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
1:1:sqrt2
C=2 x pi x r OR pi x D
The union of A and B.
70

46. 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?
48
288 (8 9 4)
3
The sum of its digits is divisible by 3.

47. x^6 / x^3
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)
(rate)(time) d=rt
x^(6-3) = x^3
500

48. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
9 : 25
A=½bh
Ø=P(E)=1

49. In any polygon - all external angles equal up to
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
180
NOT A PRIME
360°

50. How to find the circumference of a circle which circumscribes a square?
Negative
83.333%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
7 / 1000

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GRE Math: All In One

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