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. Legs 5 - 12. Hypotenuse?
Right
13
x - x(SR3) - 2x
A set with no members - denoted by a circle with a diagonal through it.

2. In any polygon - all external angles equal up to
1
48
12! / 5!7! = 792
360°

3. 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)
Diameter(Pi)
4.25 - 6 - 22
Undefined - because we can'T divide by 0.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

4. Time
x²-y²
A+c<b+c
The set of elements found in both A and B.
(distance)/(rate) d/r

5. What is an exterior angle?
An isosceles right triangle.
x(x - y + 1)
V=l×w×h
An angle which is supplementary to an interior angle.

6. (x^2)^4
360/n
x^(2(4)) =x^8 = (x^4)^2
12sqrt2
(base*height) / 2

7. 30 60 90
3 - 4 - 5
An angle which is supplementary to an interior angle.
x²+2xy+y²
A = pi(r^2)

8. Which is greater? 27^(-4) or 9^(-8)
1/x
27^(-4)
The objects within a set.
The second graph is less steep.

9. 4.809 X 10^7 =
V=l×w×h
.0004809 X 10^11
360°
... the square of the ratios of the corresponding sides.

10. Factor x^2 - xy + x.
The set of input values for a function.
Undefined - because we can'T divide by 0.
x(x - y + 1)
(base*height) / 2

11. What is a chord of a circle?
Edge³
A chord is a line segment joining two points on a circle.
53 - 59
2.592 kg

12. What number between 70 & 75 - inclusive - has the greatest number of factors?
13
2(pi)r
72
Right

13. What is the maximum value for the function g(x) = (-2x^2) -1?
1
A multiple of every integer
1 - P(E)
31 - 37

14. 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?
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
2.592 kg
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
75:11

15. 7/8 in percent?
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
F(x-c)
87.5%
2sqrt6

16. Which is greater? 64^5 or 16^8
A percent is a fraction whose denominator is 100.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
The empty set - denoted by a circle with a diagonal through it.
(pi)r²

17. Formula for the area of a sector of a circle?
A=(base)(height)
5
Sector area = (n/360) X (pi)r^2
4:5

18. 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)]?
True
Ø
.0004809 X 10^11
M

19. Positive integers that have exactly 2 positive divisors are
True
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
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

20. What is the name of set with a number of elements which cannot be counted?
48
x(x - y + 1)
B?b?b (where b is used as a factor n times)
An infinite set.

21. What are 'Supplementary angles?'
1 & 37/132
Two angles whose sum is 180.
Negative
True

22. 1n
1
Sector area = (n/360) X (pi)r^2
Straight Angle
B?b?b (where b is used as a factor n times)

23. (a^-1)/a^5
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
5 OR -5
1/a^6
y2-y1/x2-x1

24. What is the 'domain' of a function?
13
A=(base)(height)
M= (Y1-Y2)/(X1-X2)
The set of input values for a function.

25. Circumference of a circle
2(pi)r
Ø
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
1 - P(E)

26. What are the rational numbers?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 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)
27^(-4)

27. X is the opposite of
N! / (k!)(n-k)!
67 - 71 - 73
A = length x width
X

28. The product of odd number of negative numbers
Its last two digits are divisible by 4.
72
Negative
Add them. i.e. (5^7) * (5^3) = 5^10

29. The reciprocal of any non-zero #x is
90
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
.0004809 X 10^11
1/x

30. 3 is the opposite of
Pi is the ratio of a circle'S circumference to its diameter.
3
Ø
53 - 59

31. Convert 0.7% to a fraction.
7 / 1000
$11 -448
y2-y1/x2-x1
500

32. binomial product of (x-y)²
(x+y)(x-y)
A percent is a fraction whose denominator is 100.
0
(base*height) / 2

33. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
A reflection about the origin.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2 & 3/7
The overlapping sections.

34. For any number x
x - x+1 - x+2
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
Can be negative - zero - or positive
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

35. a^0 =
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The steeper the slope.
1
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

36. 60 < all primes <70
Be Zero!
61 - 67
an angle that is less than 90°
Two equal sides and two equal angles.

37. What is the slope of a horizontal line?
0
angle that is greater than 90° but less than 180°
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

38. Define an 'expression'.
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)
Every number
1
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

39. Evaluate 4/11 + 11/12
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)
53 - 59
1/2 times 7/3
1 & 37/132

40. What is a tangent?
A set with no members - denoted by a circle with a diagonal through it.
A tangent is a line that only touches one point on the circumference of a circle.
360°
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

41. What are the irrational numbers?

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

42. -3³
P= 2L + 2w
1
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
27

43. Describe the relationship between 3x^2 and 3(x - 1)^2
Ø=P(E)=1
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Yes - like radicals can be added/subtracted.
31 - 37

44. What is a minor arc?

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

45. The sum of all angles around a point
Straight Angle
Arc length = (n/360) x pi(2r) where n is the number of degrees.
360°
71 - 73 - 79

46. The percent decrease of a quantity
N! / (k!)(n-k)!
Edge³
= (actual decrease/Original amount) x 100%
C = 2(pi)r

47. (6sqrt3) x (2sqrt5) =
A=½bh
N! / (n-k)!
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

48. Volume of a rectangular box
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
x^(6-3) = x^3
The direction of the inequality is reversed.
V=Lwh

49. Perfect Squares 1-15
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The sum of its digits is divisible by 3.
P(E) = 1/1 = 1
D=rt so r= d/t and t=d/r

50. Whats the difference between factors and multiples?
13pi / 2
x^(6-3) = x^3
Factors are few - multiples are many.
180 degrees