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. The reciprocal of any non-zero number is
1/x
Lies opposite the greater angle
360/n
3 - 4 - 5

2. Formula for the area of a circle?
True
5 OR -5
A = pi(r^2)
D/t (distance)/(time)

3. How to recognize a multiple of 6
26
A set with no members - denoted by a circle with a diagonal through it.
62.5%
Sum of digits is a multiple of 3 and the last digit is even.

4. Circumference of a circle
1/2 times 7/3
2(pi)r
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Subtract them. i.e (5^7)/(5^3)= 5^4

5. What is a finite set?
A set with a number of elements which can be counted.
67 - 71 - 73
N! / (n-k)!
Undefined - because we can'T divide by 0.

6. 10<all primes<20
4096
EVEN
1
11 - 13 - 17 - 19

7. The Perimeter of a rectangle
18
The union of A and B.
P=2(l+w)
Its divisible by 2 and by 3.

8. Can you subtract 3sqrt4 from sqrt4?
The two xes after factoring.
67 - 71 - 73
Yes - like radicals can be added/subtracted.
x²-2xy+y²

9. What is the ratio of the sides of a 30-60-90 triangle?
6 : 1 : 2
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)
The set of elements found in both A and B.
1:sqrt3:2

10. 1/8 in percent?
62.5%
12.5%
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
2

11. What are the rational numbers?
3
1:sqrt3:2
130pi
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

12. Define a 'Term' -
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)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
F(x) + c
1.7

13. What are the members or elements of a set?
3
1
The objects within a set.
An isosceles right triangle.

14. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The second graph is less steep.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
4725
P(E) = ø

15. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Be Zero!
1 - P(E)
A reflection about the origin.
0

16. Convert 0.7% to a fraction.
No - only like radicals can be added.
3 - -3
P(E) = number of favorable outcomes/total number of possible outcomes
7 / 1000

17. What is the third quartile of the following data set: 44 - 58 - 63 - 63 - 68 - 70 - 82
70
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1/x
0

18. Is 0 even or odd?
Positive
Even
13pi / 2
x²+2xy+y²

19. To increase a number by x%
zero
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
V=Lwh
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

20. Acute Angle
an angle that is less than 90°
Even prime number
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
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.

21. Slope
y2-y1/x2-x1
Positive
70
An is positive

22. 5 bakeries sell an average of 300 muffins per bakery per day. If 2 stop making muffins but the total muffins sold stays the same - what is the average of muffins per bakery sold among the remaining?
500
180
an angle that is less than 90°
1

23. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
F(x-c)
1
2.592 kg

24. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
2
Null
Be Zero!
Ø Ø=Ø

25. If a pair of parallel lines is cut by a transversal that'S not perpendicular - the sum of any acute angle and any obtuse angle is
Triangles with same measure and same side lengths.
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
180
10! / 3!(10-3)! = 120

26. What are the roots of the quadrinomial x^2 + 2x + 1?
87.5%
(pi)r²
zero
The two xes after factoring.

27. Obtuse Angle
The steeper the slope.
angle that is greater than 90° but less than 180°
288 (8 9 4)
16.6666%

28. Write 10 -843 X 10^7 in scientific notation
10
1.0843 X 10^11
1
360°

29. The larger the absolute value of the slope...
A = pi(r^2)
The steeper the slope.
Ø=P(E)=1
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)

30. formula for area of a triangle
Diameter(Pi)
(b + c)
A=½bh
angle that is greater than 90° but less than 180°

31. (x+y)²
C=2 x pi x r OR pi x D
1/2 times 7/3
x²+2xy+y²
16.6666%

32. How many sides does a hexagon have?
6
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
X
8

33. Ø Is neither
Positive or Negative
75:11
C = 2(pi)r
A=(base)(height)

34. 2 is the only
A= (1/2) b*h
11 - 13 - 17 - 19
62.5%
Even prime number

35. How to find the circumference of a circle which circumscribes a square?
A=½bh
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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)
Ø=P(E)=1

36. What is the 'union' of A and B?
The set of elements which can be found in either A or B.
90°
1/a^6
The objects within a set.

37. The sum of all angles around a point
360°
All numbers multiples of 1.
87.5%
Smallest positive integer

38. Ø Is
A reflection about the origin.
EVEN
500
5 - 12 - 13

39. What is the order of operations?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Move the decimal point to the right x places

40. 1/Ø=null If a>b then
A<-b
C=2 x pi x r OR pi x D
3x - 4x - 5x
An arc is a portion of a circumference of a circle.

41. 3 is the opposite of
130pi
37.5%
zero
3

42. the slope of a line in y=mx+b
41 - 43 - 47
Do not have slopes!
A=½bh
M

43. a>b then a - b is positive or negative?
A-b is positive
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
87.5%
The greatest value minus the smallest.

44. Reduce: 4.8 : 0.8 : 1.6
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Two angles whose sum is 90.
6 : 1 : 2
Edge³

45. What is an arc of a circle?
zero
An arc is a portion of a circumference of a circle.
The sum of digits is divisible by 9.
A grouping of the members within a set based on a shared characteristic.

46. (6sqrt3) x (2sqrt5) =
Undefined
x²-y²
All numbers multiples of 1.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

47. The negative exponent x?n is equivalent to what?
A set with a number of elements which can be counted.
1 - P(E)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
(length)(width)(height)

48. 30 60 90
(base*height) / 2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
3x - 4x - 5x
27^(-4)

49. In any polygon - all external angles equal up to
An isosceles right triangle.
6
360°
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)

50. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
P=4s (s=side)
9
(length)(width)(height)