Test your basic knowledge |

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. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
27
Even
3
41 - 43 - 47

2. 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?
x²-y²
3 - -3
10! / (10-3)! = 720
Undefined - because we can'T divide by 0.

3. Formula to find a circle'S circumference from its radius?
C = 2(pi)r
Factors are few - multiples are many.
72
20.5

4. The perimeter of a square is 48 inches. The length of its diagonal is:
12sqrt2
Ø
Ab-ac
M

5. formula for area of a triangle
P=4s (s=side)
67 - 71 - 73
1:1:sqrt2
A=½bh

6. The sum of the angles in a quadrilateral is
Ø
360°
A-b is positive
(a - b)(a + b)

7. 30 60 90
(n-2) x 180
M= (Y1-Y2)/(X1-X2)
(x+y)(x+y)
3x - 4x - 5x

8. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
Every number
x(x - y + 1)
4.25 - 6 - 22
180°

9. What is a set with no members called?
Subtract them. i.e (5^7)/(5^3)= 5^4
The empty set - denoted by a circle with a diagonal through it.
A set with a number of elements which can be counted.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

10. Factor x^2 - xy + x.
Undefined - because we can'T divide by 0.
P(E) = 1/1 = 1
x(x - y + 1)
Be Zero!

11. Number of degrees in a triangle
180
x - x+1 - x+2
A central angle is an angle formed by 2 radii.
Be Zero!

12. Define a 'monomial'
Two equal sides and two equal angles.
An expression with just one term (-6x - 2a^2)
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.)
83.333%

13. The reciprocal of any non-zero number is
Even
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
M
1/x

14. (12sqrt15) / (2sqrt5) =
An arc is a portion of a circumference of a circle.
Distance=rate×time or d=rt
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

15. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
1/2 times 7/3
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
180°
Be Zero!

16. What is a central angle?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
A central angle is an angle formed by 2 radii.
A = pi(r^2)
1

17. Ø is
Even
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
N! / (k!)(n-k)!
NOT A PRIME

18. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
Even prime number
1:sqrt3:2
(base*height) / 2

19. (2²)³
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)
26
(x+y)(x+y)
1 & 37/132

20. A number is divisible by 4 is...
A percent is a fraction whose denominator is 100.
Ø
NOT A PRIME
Its last two digits are divisible by 4.

21. What is an exterior angle?
A reflection about the origin.
An angle which is supplementary to an interior angle.
x²-2xy+y²
1

22. To decrease a number by x%
A = length x width
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Smallest positive integer
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

23. 30 60 90
An is positive
1 - P(E)
Factors are few - multiples are many.
x - x(SR3) - 2x

24. binomial product of (x+y)²
Negative
1 - P(E)
(x+y)(x+y)
The union of A and B.

25. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
1 - P(E)
(length)(width)(height)
1/x

26. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
Can be negative - zero - or positive
(pi)r²
2

27. Circumference of a circle
360°
1:1:sqrt2
(x+y)(x-y)
2(pi)r

28. What is the 'domain' of a function?
The set of input values for a function.
Pi is the ratio of a circle'S circumference to its diameter.
V=Lwh
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

29. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
y/x is a constant
52
23 - 29
(a - b)(a + b)

30. An Angle that'S 180°
(a - b)^2
Straight Angle
B?b?b (where b is used as a factor n times)
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

31. What are the members or elements of a set?
The sum of its digits is divisible by 3.
The objects within a set.
Distance=rate×time or d=rt
6 : 1 : 2

32. Evaluate 3& 2/7 / 1/3
The set of elements found in both A and B.
Positive or Negative
1/x
9 & 6/7

33. Pythagorean theorem
A central angle is an angle formed by 2 radii.
Be Zero!
A²+b²=c²
Null

34. The sum of the measures of the n angles in a polygon with n sides
Ø
3/2 - 5/3
(n-2) x 180
Do not have slopes!

35. formula for volume of a rectangular solid
V=l×w×h
70
(a + b)^2
A=pi*(r^2)

36. binomial product of (x-y)²
(x+y)(x-y)
2sqrt6
27
360°

37. 7/8 in percent?
(n-2) x 180
The sum of digits is divisible by 9.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
87.5%

38. What is a chord of a circle?
Even
1:1:sqrt2
A chord is a line segment joining two points on a circle.
Triangles with same measure and same side lengths.

39. Find distance when given time and rate
D=rt so r= d/t and t=d/r
A-b is positive
28
Two angles whose sum is 90.

40. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
A = length x width
Undefined
2 & 3/7

41. Dividing by a number is the same as multiplying it by its
x - x+1 - x+2
A set with a number of elements which can be counted.
A chord is a line segment joining two points on a circle.
Reciprocal

42. Ø Is neither
9 & 6/7
Indeterminable.
Positive or Negative
10

43. Formula to find a circle'S circumference from its diameter?
2 & 3/7
Members or elements
12.5%
C = (pi)d

44. One is (a prime or not?)
Edge³
NOT A PRIME
The sum of the digits is a multiple of 9.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

45. How to recognize a # as a multiple of 9
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
x(x - y + 1)
x²-2xy+y²
The sum of the digits is a multiple of 9.

46. Volume of a cube
(pi)r²
Edge³
The greatest value minus the smallest.
A=½bh

47. Is 0 even or odd?
83.333%
Sector area = (n/360) X (pi)r^2
6 : 1 : 2
Even

48. A number is divisible by 3 if ...
A chord is a line segment joining two points on a circle.
The point of intersection of the systems.
The sum of its digits is divisible by 3.
A+c<b+c

49. How to find the circumference of a circle which circumscribes a square?
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
V=l×w×h
An is positive
3 - -3

50. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
Parallelogram
1/x
True
13pi / 2