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. -3²
9
360°
5 - 12 - 13
(rate)(time) d=rt

2. 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)
(a + b)^2
4.25 - 6 - 22
The second graph is less steep.
A+c<b+c

3. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Positive
3 - -3
28. n = 8 - k = 2. n! / k!(n-k)!
A= (1/2) b*h

4. What is a percent?
A percent is a fraction whose denominator is 100.
A = pi(r^2)
1
180°

5. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
(pi)r²
75:11
The direction of the inequality is reversed.

6. 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?
M
441000 = 1 10 10 10 21 * 21
An arc is a portion of a circumference of a circle.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

7. Convert 0.7% to a fraction.
16.6666%
7 / 1000
Can be negative - zero - or positive
N! / (n-k)!

8. What is the 'Range' of a series of numbers?
The greatest value minus the smallest.
A 30-60-90 triangle.
x²+2xy+y²
Even prime number

9. Area of a rectangle
A = length x width
Ø
.0004809 X 10^11
9 & 6/7

10. Ø is a multiple of
A=pi*(r^2)
Every number
A=(base)(height)
Ø

11. 70 < all primes< 80
1.7
71 - 73 - 79
Ø=P(E)=1
y = 2x^2 - 3

12. The reciprocal of any non-zero number is
The sum of digits is divisible by 9.
A = pi(r^2)
1/x
180 degrees

13. Legs 6 - 8. Hypotenuse?
31 - 37
Yes - like radicals can be added/subtracted.
83.333%
10

14. Area of a circle
M= (Y1-Y2)/(X1-X2)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(pi)r²
(rate)(time) d=rt

15. What is the 'domain' of a function?
The set of input values for a function.
Ø=P(E)=1
Subtract them. i.e (5^7)/(5^3)= 5^4
12! / 5!7! = 792

16. To decrease a number by x%
27
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
Arc length = (n/360) x pi(2r) where n is the number of degrees.
12! / 5!7! = 792

17. Formula for the area of a sector of a circle?
A+c<b+c
A subset.
Sector area = (n/360) X (pi)r^2
10! / 3!(10-3)! = 120

18. What is an exterior angle?
An angle which is supplementary to an interior angle.
Positive
1
(p + q)/5

19. What is the measure of an exterior angle of a regular pentagon?
72
y = 2x^2 - 3
D=rt so r= d/t and t=d/r
2

20. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(x+y)(x+y)
6
An isosceles right triangle.

21. What is the graph of f(x) shifted upward c units or spaces?
1/x
(a - b)^2
1/2 times 7/3
F(x) + c

22. Describe the relationship between 3x^2 and 3(x - 1)^2
Smallest positive integer
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
52
(a - b)(a + b)

23. factored binomial product of (x+y)²
x²+2xy+y²
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.)
A=(base)(height)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

24. 1/8 in percent?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
A grouping of the members within a set based on a shared characteristic.
A=pi*(r^2)
12.5%

25. The Perimeter of a Square
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
72
Its divisible by 2 and by 3.
P=4s (s=side)

26. What is the intersection of A and B?
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)
90
The set of elements found in both A and B.
Diameter(Pi)

27. 30 60 90
... the square of the ratios of the corresponding sides.
x - x(SR3) - 2x
10! / 3!(10-3)! = 120
5 - 12 - 13

28. Evaluate 4/11 + 11/12
Infinite.
1 & 37/132
N! / (n-k)!
P(E) = ø

29. Consecutive integers
Can be negative - zero - or positive
V=Lwh
x - x+1 - x+2
1

30. 1 is an
ODD number
1.0843 X 10^11
A chord is a line segment joining two points on a circle.
Every number

31. What are complementary angles?
Two angles whose sum is 90.
23 - 29
Right
Subtract them. i.e (5^7)/(5^3)= 5^4

32. An Angle that'S 180°
(a - b)(a + b)
Straight Angle
Two (Ø×2=Ø)
F(x) - c

33. What is a major arc?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

34. A number is divisible by 3 if ...
The sum of its digits is divisible by 3.
Indeterminable.
6
8

35. First 10 prime #s
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1
The objects within a set.

36. The ratio of the areas of two similar polygons is ...
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a + b)^2
... the square of the ratios of the corresponding sides.
A set with a number of elements which can be counted.

37. The Denominator can never
288 (8 9 4)
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Be Zero!
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

38. In any polygon - all external angles equal up to
1
Parallelogram
(a - b)(a + b)
360°

39. What is the name of set with a number of elements which cannot be counted?
Smallest positive integer
x(x - y + 1)
An infinite set.
62.5%

40. Circumference of a circle
Its last two digits are divisible by 4.
P=2(l+w)
An isosceles right triangle.
2(pi)r

41. 30 60 90
A=(base)(height)
3x - 4x - 5x
2(pi)r
A=½bh

42. What are the real numbers?
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 greatest value minus the smallest.
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)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

43. Slope of any line that goes down as you move from left to right is
A = pi(r^2)
Can be negative - zero - or positive
Negative
A-b is positive

44. One is (a prime or not?)
3/2 - 5/3
Ø Ø=Ø
Members or elements
NOT A PRIME

45. Slope given 2 points
Its last two digits are divisible by 4.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
7 / 1000
M= (Y1-Y2)/(X1-X2)

46. What is a tangent?
A natural number greater than 1 that has no positive divisors other than 1 and itself
Cd
1 & 37/132
A tangent is a line that only touches one point on the circumference of a circle.

47. What is a subset?
Two angles whose sum is 180.
A grouping of the members within a set based on a shared characteristic.
(amount of decrease/original price) x 100%
(p + q)/5

48. Area of a Parallelogram:
(pi)r²
y/x is a constant
6 : 1 : 2
A=(base)(height)

49. What are the roots of the quadrinomial x^2 + 2x + 1?
7 / 1000
... the square of the ratios of the corresponding sides.
The two xes after factoring.
Cd

50. a^2 + 2ab + b^2
All numbers multiples of 1.
(a + b)^2
1.7
1