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. If a is positive - an is
Diameter(Pi)
An infinite set.
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.
Positive

2. In any polygon - all external angles equal up to
1:sqrt3:2
zero
360°
The second graph is less steep.

3. Dividing by a number is the same as multiplying it by its
28. n = 8 - k = 2. n! / k!(n-k)!
Reciprocal
(length)(width)(height)
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.)

4. How to find the circumference of a circle which circumscribes a square?
An infinite set.
9 : 25
The interesection of A and B.
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

5. If y is directly proportional to x - what does it equal?
y/x is a constant
1
P= 2L + 2w
A set with a number of elements which can be counted.

6. Ø divided by 7
x^(4+7) = x^11
Ø
Pi is the ratio of a circle'S circumference to its diameter.
1

7. The percent decrease of a quantity
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)
= (actual decrease/Original amount) x 100%
No - only like radicals can be added.
5 - 12 - 13

8. 20<all primes<30
10! / 3!(10-3)! = 120
23 - 29
3x - 4x - 5x
1

9. formula for the volume of a cube
The set of output values for a function.
The sum of the digits is a multiple of 9.
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)
V=side³

10. To decrease a number by x%
A central angle is an angle formed by 2 radii.
4.25 - 6 - 22
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
1/x

11. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
26
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
x^(4+7) = x^11
2 & 3/7

12. Solve the quadratic equation ax^2 + bx + c= 0
X
Ø
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
Indeterminable.

13. 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?
Ab-ac
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
441000 = 1 10 10 10 21 * 21
Add them. i.e. (5^7) * (5^3) = 5^10

14. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
All numbers multiples of 1.
True
x²-y²

15. In a rectangle - all angles are
x(x - y + 1)
The sum of its digits is divisible by 3.
A-b is positive
Right

16. formula for area of a triangle
Members or elements
A=½bh
The second graph is less steep.
1

17. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
27
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)
12.5%

18. How to recognize a # as a multiple of 4
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.)
Smallest positive integer
y = 2x^2 - 3
A central angle is an angle formed by 2 radii.

19. If Event is impossible
F(x) + c
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Ab=k (k is a constant)
P(E) = ø

20. binomial product of (x+y)²
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)
Ø
zero

21. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
F(x + c)
Undefined - because we can'T divide by 0.
C=2 x pi x r OR pi x D
2^9 / 2 = 256

22. How to recognize if a # is a multiple of 12
180
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
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.)
Ø

23. Perimeter of a rectangle
Ø=P(E)=1
Undefined
A-b is negative
P= 2L + 2w

24. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
3 - -3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
C = 2(pi)r
y = (x + 5)/2

25. binomial product of (x-y)²
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
6 : 1 : 2
(x+y)(x-y)
True

26. X is the opposite of
Members or elements
3 - -3
12.5%
X

27. Reduce: 4.8 : 0.8 : 1.6
1
6 : 1 : 2
The two xes after factoring.
Ø

28. a^2 - 2ab + b^2
180°
(a - b)^2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
All numbers multiples of 1.

29. The ratio of the areas of two similar polygons is ...
x²-2xy+y²
3/2 - 5/3
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)
... the square of the ratios of the corresponding sides.

30. What is the slope of a horizontal line?
0
360°
1:1:sqrt2
A central angle is an angle formed by 2 radii.

31. 70 < all primes< 80
Negative
71 - 73 - 79
The sum of the digits is a multiple of 9.
1.7

32. a(b+c)
4:5
Ab+ac
A = pi(r^2)
180

33. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Right
13pi / 2
12sqrt2
F(x + c)

34. a(b-c)
83.333%
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
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Ab-ac

35. Circumference of a circle?
(length)(width)(height)
x²-2xy+y²
Ø=P(E)=1
Diameter(Pi)

36. 0^0
1:sqrt3:2
True
.0004809 X 10^11
Undefined

37. Ø is
A+c<b+c
(x+y)(x-y)
Even
90°

38. Important properties of a 30-60-90 triangle?
Members or elements
y2-y1/x2-x1
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
EVEN

39. What is the 'Range' of a function?
Smallest positive integer
The set of output values for a function.
Positive or Negative
A percent is a fraction whose denominator is 100.

40. What does scientific notation mean?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
y2-y1/x2-x1
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
28

41. Can you add sqrt 3 and sqrt 5?
3 - 4 - 5
11 - 13 - 17 - 19
(amount of decrease/original price) x 100%
No - only like radicals can be added.

42. 10<all primes<20
Be Zero!
11 - 13 - 17 - 19
An angle which is supplementary to an interior angle.
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.)

43. Probability of an Event
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
P(E) = number of favorable outcomes/total number of possible outcomes
10! / 3!(10-3)! = 120
(pi)r²

44. A quadrilateral where two diagonals bisect each other
Its last two digits are divisible by 4.
The set of output values for a function.
Parallelogram
(b + c)

45. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
A = pi(r^2)
An is positive
28. n = 8 - k = 2. n! / k!(n-k)!
x(x - y + 1)

46. (6sqrt3) x (2sqrt5) =
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 x 2)(sqrt3 x sqrt5) = 12sqrt15
10! / (10-3)! = 720
an angle that is less than 90°

47. a^2 - b^2
1:sqrt3:2
(a - b)(a + b)
x^(4+7) = x^11
Reciprocal

48. -3³
23 - 29
1
27
Parallelogram

49. a^0 =
1.0843 X 10^11
1
9 & 6/7
(b + c)

50. What are 'Supplementary angles?'
An is positive
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Two angles whose sum is 180.
180°