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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. How to recognize a # as a multiple of 3
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Distance=rate×time or d=rt
4.25 - 6 - 22
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)

2. Probability of E not occurring:
Its last two digits are divisible by 4.
1 - P(E)
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)
y2-y1/x2-x1

3. What is the slope of a horizontal line?
Sector area = (n/360) X (pi)r^2
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...
0
67 - 71 - 73

4. Vertical lines
180
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Do not have slopes!
Reciprocal

5. 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?
x²-2xy+y²
1/x
$3 -500 in the 9% and $2 -500 in the 7%.
(x+y)(x+y)

6. Legs 5 - 12. Hypotenuse?
13
Its last two digits are divisible by 4.
(a - b)(a + b)
The two xes after factoring.

7. Legs: 3 - 4. Hypotenuse?
5
P(E) = number of favorable outcomes/total number of possible outcomes
41 - 43 - 47
1/2 times 7/3

8. 1n
1
F(x) - c
Reciprocal
P=4s (s=side)

9. The percent decrease of a quantity
(a + b)^2
= (actual decrease/Original amount) x 100%
$3 -500 in the 9% and $2 -500 in the 7%.
Ø

10. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
48
An is positive
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
4:5

11. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
.0004809 X 10^11
Diameter(Pi)
A multiple of every integer

12. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
(a - b)^2
All numbers multiples of 1.

13. Probability of an Event
1
2 & 3/7
y = 2x^2 - 3
P(E) = number of favorable outcomes/total number of possible outcomes

14. An Angle that'S 180°
Straight Angle
A chord is a line segment joining two points on a circle.
288 (8 9 4)
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

15. What does scientific notation mean?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
10

16. Ø is
A = pi(r^2)
A multiple of every integer
x^(2(4)) =x^8 = (x^4)^2
The set of elements which can be found in either A or B.

17. In a rectangle - all angles are
Right
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
10! / 3!(10-3)! = 120
Ab=k (k is a constant)

18. If a is positive - an is
2^9 / 2 = 256
Yes - like radicals can be added/subtracted.
2(pi)r
Positive

19. Area of a triangle
4096
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...
2 & 3/7
A= (1/2) b*h

20. 1 is the
Smallest positive integer
72
71 - 73 - 79
Positive

21. 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.
4725
Ø
Ab-ac

22. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
72
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Sector area = (n/360) X (pi)r^2

23. What is the ratio of the sides of an isosceles right triangle?
1
1 & 37/132
Negative
1:1:sqrt2

24. Number of degrees in a triangle
$3 -500 in the 9% and $2 -500 in the 7%.
M= (Y1-Y2)/(X1-X2)
V=Lwh
180

25. What is the sum of the angles of a triangle?
(pi)r²
23 - 29
180 degrees
.0004809 X 10^11

26. For any number x
Positive
A-b is positive
F(x) + c
Can be negative - zero - or positive

27. 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?
N! / (k!)(n-k)!
70
x²+2xy+y²
P(E) = 1/1 = 1

28. Perfect Squares 1-15
x²-2xy+y²
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A = pi(r^2)
90pi

29. the slope of a line in y=mx+b
M
180
72
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

30. What percent of 40 is 22?
The sum of digits is divisible by 9.
The longest arc between points A and B on a circle'S diameter.
Two angles whose sum is 180.
55%

31. Ø Is
The set of elements found in both A and B.
Negative
EVEN
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

32. If an inequality is multiplied or divided by a negative number....
Triangles with same measure and same side lengths.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
71 - 73 - 79
The direction of the inequality is reversed.

33. 3 is the opposite of
2 & 3/7
12.5%
P(E) = number of favorable outcomes/total number of possible outcomes
3

34. One is (a prime or not?)
41 - 43 - 47
NOT A PRIME
7 / 1000
500

35. How to determine percent decrease?
(amount of decrease/original price) x 100%
y/x is a constant
an angle that is less than 90°
Ab+ac

36. The product of any number x and its reciprocal
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Yes - like radicals can be added/subtracted.
Even
1

37. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
288 (8 9 4)
Sum of digits is a multiple of 3 and the last digit is even.
Straight Angle
75:11

38. The reciprocal of any non-zero number is
1/x
(b + c)
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
(base*height) / 2

39. Factor a^2 + 2ab + b^2
y = 2x^2 - 3
Straight Angle
Even
(a + b)^2

40. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
A reflection about the axis.
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
A=pi*(r^2)

41. 1/6 in percent?
16.6666%
4:5
V=Lwh
A²+b²=c²

42. How to recognize if a # is a multiple of 12
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.)
10! / (10-3)! = 720
Distance=rate×time or d=rt
48

43. 0^0
3x - 4x - 5x
V=side³
Undefined
83.333%

44. Important properties of a 30-60-90 triangle?
x - x+1 - x+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
1/2 times 7/3
The steeper the slope.

45. What is the empty set?
(rate)(time) d=rt
A set with no members - denoted by a circle with a diagonal through it.
$11 -448
18

46. The Perimeter of a rectangle
4a^2(b)
P=2(l+w)
37.5%
Null

47. Define an 'expression'.
Right
(rate)(time) d=rt
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)
6

48. (2²)³
An arc is a portion of a circumference of a circle.
26
The greatest value minus the smallest.
(a - b)^2

49. Ø²
90pi
Cd
Ø
Distance=rate×time or d=rt

50. Volume of a rectangular box
Two angles whose sum is 90.
V=Lwh
180
(pi)r²

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GRE Math: All In One

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