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. How to find the circumference of a circle which circumscribes a square?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
16.6666%
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

2. What is the area of a regular hexagon with side 6?
Two angles whose sum is 180.
9 & 6/7
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
180°

3. What percent of 40 is 22?
55%
4.25 - 6 - 22
11 - 13 - 17 - 19
C = 2(pi)r

4. If a<b - then
13pi / 2
A+c<b+c
3
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

5. Circumference of a Circle
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
D=rt so r= d/t and t=d/r
The set of elements found in both A and B.
C=2 x pi x r OR pi x D

6. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
70
1
13pi / 2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

7. 2 is the only
10
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Even prime number
The sum of the digits is a multiple of 9.

8. What is the ratio of the sides of a 30-60-90 triangle?
27^(-4)
1:sqrt3:2
x²-y²
4:5

9. What is the sum of the angles of a triangle?
180 degrees
13pi / 2
23 - 29
A subset.

10. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
x²-2xy+y²
0
20.5
x(x - y + 1)

11. What is an exterior angle?
An angle which is supplementary to an interior angle.
2.592 kg
Members or elements
61 - 67

12. 1/Ø=null If a>b then
A<-b
Reciprocal
(b + c)
Ø

13. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
13pi / 2
1
3
F(x) - c

14. Vertical lines
Do not have slopes!
(a - b)(a + b)
441000 = 1 10 10 10 21 * 21
28

15. What is the graph of f(x) shifted upward c units or spaces?
N! / (n-k)!
52
F(x) + c
20.5

16. Probability of Event all cases
90
27
The steeper the slope.
Ø=P(E)=1

17. Slope
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The set of elements which can be found in either A or B.
A percent is a fraction whose denominator is 100.
y2-y1/x2-x1

18. When multiplying exponential #s with the same base - you do this to the exponents...
A tangent is a line that only touches one point on the circumference of a circle.
Add them. i.e. (5^7) * (5^3) = 5^10
Even prime number
Move the decimal point to the right x places

19. How to recognize a # as a multiple of 3
1:sqrt3:2
P= 2L + 2w
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)
3x - 4x - 5x

20. 50 < all primes< 60
x - x(SR3) - 2x
Negative
(x+y)(x-y)
53 - 59

21. First 10 prime #s
52
Positive or Negative
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The objects within a set.

22. Formula to find a circle'S circumference from its diameter?
11 - 13 - 17 - 19
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Even prime number
C = (pi)d

23. -3³
37.5%
M= (Y1-Y2)/(X1-X2)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
27

24. 6w^2 - w - 15 = 0
Two angles whose sum is 90.
Its last two digits are divisible by 4.
3/2 - 5/3
3 - 4 - 5

25. When dividing exponential #s with the same base - you do this to the exponents...
V=side³
(a - b)^2
Subtract them. i.e (5^7)/(5^3)= 5^4
28. n = 8 - k = 2. n! / k!(n-k)!

26. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Two equal sides and two equal angles.
An isosceles right triangle.
x - x(SR3) - 2x
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

27. Pi is a ratio of what to what?

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

28. What is the empty set?
Infinite.
2 & 3/7
A set with no members - denoted by a circle with a diagonal through it.
B?b?b (where b is used as a factor n times)

29. 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?
Ø
48
An arc is a portion of a circumference of a circle.
1

30. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
11 - 13 - 17 - 19
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
90pi

31. Distance
(rate)(time) d=rt
Members or elements
10! / 3!(10-3)! = 120
Ø Ø=Ø

32. What number between 70 & 75 - inclusive - has the greatest number of factors?
Ab-ac
Positive
72
EVEN

33. In a rectangle - all angles are
Edge³
13pi / 2
Right
0

34. Formula to find a circle'S circumference from its radius?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
C = 2(pi)r
6

35. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
(n-2) x 180
90
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
(b + c)

36. What is the set of elements which can be found in either A or B?
The set of elements found in both A and B.
Lies opposite the greater angle
The union of A and B.
3

37. What is a tangent?
Ø
A tangent is a line that only touches one point on the circumference of a circle.
The set of input values for a function.
Parallelogram

38. What are the roots of the quadrinomial x^2 + 2x + 1?
Cd
C = (pi)d
The two xes after factoring.
Add them. i.e. (5^7) * (5^3) = 5^10

39. What is the 'Solution' for a system of linear equations?
An infinite set.
Even
The point of intersection of the systems.
(a - b)(a + b)

40. What is a finite set?
A set with a number of elements which can be counted.
A-b is positive
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)

41. 60 < all primes <70
= (actual decrease/Original amount) x 100%
Sector area = (n/360) X (pi)r^2
Diameter(Pi)
61 - 67

42. Legs 5 - 12. Hypotenuse?
70
13
3
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

43. 25/2³
26
Subtract them. i.e (5^7)/(5^3)= 5^4
C = (pi)d
2²

44. 8.84 / 5.2
1.7
P=2(l+w)
Even prime number
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

45. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
2sqrt6
Ø
P= 2L + 2w
Edge³

46. Ø is a multiple of
(a - b)(a + b)
Two (Ø×2=Ø)
0
(distance)/(rate) d/r

47. Important properties of a 30-60-90 triangle?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
4725
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
4096

48. The Denominator can never
Be Zero!
Even
6 : 1 : 2
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)

49. What is a subset?
Sum of digits is a multiple of 3 and the last digit is even.
Edge³
A grouping of the members within a set based on a shared characteristic.
12! / 5!7! = 792

50. A prime number (or a prime)
1 & 37/132
4:5
A natural number greater than 1 that has no positive divisors other than 1 and itself
$11 -448