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 6 - 8. Hypotenuse?
10
31 - 37
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The sum of its digits is divisible by 3.

2. Area of a triangle?
Undefined - because we can'T divide by 0.
(base*height) / 2
1
Ø

3. Volume of a cube
10! / (10-3)! = 720
Edge³
An expression with just one term (-6x - 2a^2)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

4. Factor x^2 - xy + x.
20.5
.0004809 X 10^11
(base*height) / 2
x(x - y + 1)

5. Slope
Undefined - because we can'T divide by 0.
y2-y1/x2-x1
26
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

6. Simplify the expression [(b^2 - c^2) / (b - c)]
The set of elements found in both A and B.
Even prime number
180 degrees
(b + c)

7. 4.809 X 10^7 =
.0004809 X 10^11
The greatest value minus the smallest.
3/2 - 5/3
0

8. In a Rectangle - each angles measures
An isosceles right triangle.
A = length x width
Move the decimal point to the right x places
90°

9. What is the area of a regular hexagon with side 6?
A=(base)(height)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
x^(2(4)) =x^8 = (x^4)^2

10. Which is greater? 27^(-4) or 9^(-8)
x^(2(4)) =x^8 = (x^4)^2
27^(-4)
An angle which is supplementary to an interior angle.
x²-y²

11. To decrease a number by x%
P(E) = ø
48
70
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

12. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
D/t (distance)/(time)
Parallelogram
180

13. 60 < all primes <70
61 - 67
Two angles whose sum is 180.
87.5%
angle that is greater than 90° but less than 180°

14. 3/8 in percent?
Sum of digits is a multiple of 3 and the last digit is even.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
The set of elements which can be found in either A or B.
37.5%

15. Simplify (a^2 + b)^2 - (a^2 - b)^2
37.5%
4a^2(b)
180 degrees
180

16. Probability of Event all cases
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
180
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
Ø=P(E)=1

17. Area of a circle
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
(pi)r²
Ø=P(E)=1
P=4s (s=side)

18. What is a central angle?
Negative
Straight Angle
1
A central angle is an angle formed by 2 radii.

19. 1 is the
A-b is negative
Its divisible by 2 and by 3.
Smallest positive integer
An is positive

20. What is the 'Range' of a series of numbers?
6 : 1 : 2
The greatest value minus the smallest.
x²+2xy+y²
28. n = 8 - k = 2. n! / k!(n-k)!

21. A number is divisible by 9 if...
4sqrt3. The triangle can be divided into two equal 30-60-90 triangles with side 6 as the side in which 6 = xsqrt3. So x =2sqrt3...
180
The sum of digits is divisible by 9.
A multiple of every integer

22. What is the intersection of A and B?
A multiple of every integer
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.
Straight Angle
The set of elements found in both A and B.

23. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1:1:sqrt2
26
The interesection of A and B.
1

24. When does a function automatically have a restricted domain (2)?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The set of input values for a function.
Straight Angle
The direction of the inequality is reversed.

25. Formula to calculate arc length?
5 - 12 - 13
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A-b is negative
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

26. (x+y)²
Factors are few - multiples are many.
x²+2xy+y²
1
1/x

27. Probability of an Event
72
23 - 29
75:11
P(E) = number of favorable outcomes/total number of possible outcomes

28. 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?
The set of input values for a function.
48
67 - 71 - 73
F(x-c)

29. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
A percent is a fraction whose denominator is 100.
Even
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

30. What is the measure of an exterior angle of a regular pentagon?
M
Infinite.
72
1

31. 1 is an
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
ODD number
Indeterminable.
An isosceles right triangle.

32. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1
Negative
The sum of its digits is divisible by 3.

33. a(b-c)
Sum of digits is a multiple of 3 and the last digit is even.
1
Ab-ac
67 - 71 - 73

34. Ø Is neither
Positive or Negative
An is positive
3 - 4 - 5
... the square of the ratios of the corresponding sides.

35. 5x^2 - 35x -55 = 0
6 : 1 : 2
3
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
62.5%

36. What is an isoceles triangle?
angle that is greater than 90° but less than 180°
Positive
70
Two equal sides and two equal angles.

37. 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?
360°
6
75:11
D=rt so r= d/t and t=d/r

38. Slope of any line that goes up from left to right
Negative
x(x - y + 1)
Positive
Ø

39. A number is divisible by 6 if...
A-b is positive
Its divisible by 2 and by 3.
360°
20.5

40. The Perimeter of a Square
P=4s (s=side)
12.5%
y2-y1/x2-x1
True

41. Pythagorean theorem
(p + q)/5
Members or elements
A²+b²=c²
Parallelogram

42. X is the opposite of
Factors are few - multiples are many.
52
X
Two angles whose sum is 90.

43. Acute Angle
$11 -448
an angle that is less than 90°
18
x²-2xy+y²

44. 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)?
y = (x + 5)/2
4096
Ab+ac
(a - b)(a + b)

45. Solve the quadratic equation ax^2 + bx + c= 0
500
Positive or Negative
31 - 37
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

46. Vertical lines
Two equal sides and two equal angles.
Ø
Do not have slopes!
C=2 x pi x r OR pi x D

47. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
1/2 times 7/3
13
Cd
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

48. The sum of all angles around a point
The shortest arc between points A and B on a circle'S diameter.
(a - b)^2
3 - -3
360°

49. Ø is
Even
Its divisible by 2 and by 3.
y/x is a constant
2.592 kg

50. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
3 - -3
y = 2x^2 - 3
Can be negative - zero - or positive
(2x7)³