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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
If you are not ready to take this test, you can study here.
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. Formula to calculate arc length?
1
1
Arc length = (n/360) x pi(2r) where n is the number of degrees.
C=2 x pi x r OR pi x D

2. 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?
75:11
= (actual decrease/Original amount) x 100%
2²
12sqrt2

3. a/Ø
28
5 - 12 - 13
Null
Every number

4. Formula for the area of a circle?
$11 -448
An angle which is supplementary to an interior angle.
C=2 x pi x r OR pi x D
A = pi(r^2)

5. Solve the quadratic equation ax^2 + bx + c= 0
Members or elements
1/a^6
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
12.5%

6. 5/6 in percent?
y = (x + 5)/2
130pi
83.333%
Undefined - because we can'T divide by 0.

7. Vertical lines
Do not have slopes!
The sum of digits is divisible by 9.
1/x
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

8. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
N! / (k!)(n-k)!
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
F(x-c)

9. Formula for the area of a sector of a circle?
1/x
1
Sector area = (n/360) X (pi)r^2
2.592 kg

10. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
Diameter(Pi)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
7 / 1000
1

11. Reduce: 4.8 : 0.8 : 1.6
1
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.)
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)
6 : 1 : 2

12. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
4a^2(b)
Two (Ø×2=Ø)

13. Probability of Event all cases
55%
The sum of digits is divisible by 9.
180°
Ø=P(E)=1

14. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
4.25 - 6 - 22
Positive or Negative
2^9 / 2 = 256
F(x-c)

15. What is the sum of the angles of a triangle?
Negative
180 degrees
26
EVEN

16. How to recognize a # as a multiple of 9
The sum of the digits is a multiple of 9.
A= (1/2) b*h
360/n
5

17. 1/6 in percent?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The steeper the slope.
Ab=k (k is a constant)
16.6666%

18. What is an isoceles triangle?
Two equal sides and two equal angles.
3 - 4 - 5
(p + q)/5
(2x7)³

19. How to recognize a # as a multiple of 4
1.0843 X 10^11
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.)
55%
441000 = 1 10 10 10 21 * 21

20. What is the 'Solution' for a system of linear equations?
5 - 12 - 13
The point of intersection of the systems.
X
C=2 x pi x r OR pi x D

21. the slope of a line in y=mx+b
NOT A PRIME
26
M
1:1:sqrt2

22. Evaluate 3& 2/7 / 1/3
9 & 6/7
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
3

23. Which is greater? 200x^295 or 10x^294?
3
Relationship cannot be determined (what if x is negative?)
D=rt so r= d/t and t=d/r
70

24. 1 is an
1/2 times 7/3
ODD number
Positive or Negative
1:sqrt3:2

25. Can you subtract 3sqrt4 from sqrt4?
Yes - like radicals can be added/subtracted.
Straight Angle
The steeper the slope.
1:1:sqrt2

26. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
(pi)r²
2^9 / 2 = 256
Negative

27. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
An angle which is supplementary to an interior angle.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
x²-y²

28. How do you solve proportions? a/b=c/d
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(x+y)(x+y)
(length)(width)(height)

29. Acute Angle
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
an angle that is less than 90°
11 - 13 - 17 - 19
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

30. 2 is the only
Even prime number
M
11 - 13 - 17 - 19
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.

31. 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?
A subset.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
48
Lies opposite the greater angle

32. (x-y)(x+y)
Be Zero!
V=side³
x²-y²
0

33. b¹
Ø=P(E)=1
The greatest value minus the smallest.
1
y/x is a constant

34. 25/2³
A chord is a line segment joining two points on a circle.
3 - -3
2²
A grouping of the members within a set based on a shared characteristic.

35. Simplify (a^2 + b)^2 - (a^2 - b)^2
7 / 1000
Add them. i.e. (5^7) * (5^3) = 5^10
(2x7)³
4a^2(b)

36. Circumference of a circle?
V=side³
The set of elements which can be found in either A or B.
9 : 25
Diameter(Pi)

37. X is the opposite of
28
180°
... the square of the ratios of the corresponding sides.
X

38. (x-y)²
Two equal sides and two equal angles.
NOT A PRIME
C = 2(pi)r
x²-2xy+y²

39. Ø is a multiple of
Every number
The direction of the inequality is reversed.
2^9 / 2 = 256
A reflection about the axis.

40. Ø divided by 7
Factors are few - multiples are many.
Ø
13pi / 2
Distance=rate×time or d=rt

41. -3³
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
Ø Ø=Ø
5 - 12 - 13

42. What is the 'Range' of a function?
1 & 37/132
A chord is a line segment joining two points on a circle.
(amount of decrease/original price) x 100%
The set of output values for a function.

43. Define a 'Term' -
Diameter(Pi)
6
70
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)

44. The reciprocal of any non-zero number is
1/x
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
1.7
Undefined

45. Find distance when given time and rate
M= (Y1-Y2)/(X1-X2)
x²+2xy+y²
D=rt so r= d/t and t=d/r
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.)

46. 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?
1
3 - -3
10! / 3!(10-3)! = 120
12! / 5!7! = 792

47. What is the graph of f(x) shifted upward c units or spaces?
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.
The empty set - denoted by a circle with a diagonal through it.
F(x) + c
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)

48. 1/2 divided by 3/7 is the same as
1
Subtract them. i.e (5^7)/(5^3)= 5^4
Every number
1/2 times 7/3

49. Area of a triangle
9 : 25
A= (1/2) b*h
2 & 3/7
(a - b)(a + b)

50. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
y = 2x^2 - 3
A = pi(r^2)
360°