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. 7 divided by Ø
Null
Infinite.
180°
A=½bh

2. (12sqrt15) / (2sqrt5) =
A chord is a line segment joining two points on a circle.
M
Triangles with same measure and same side lengths.
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

3. formula for distance problems
(x+y)(x+y)
Distance=rate×time or d=rt
4.25 - 6 - 22
x²+2xy+y²

4. What is the empty set?
10! / (10-3)! = 720
A set with no members - denoted by a circle with a diagonal through it.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
(n-2) x 180

5. Describe the relationship between the graphs of x^2 and (1/2)x^2
52
The second graph is less steep.
A reflection about the axis.
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)

6. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
61 - 67
360°
52

7. x^2 = 9. What is the value of x?
x - x(SR3) - 2x
F(x) - c
2
3 - -3

8. 5/8 in percent?
An angle which is supplementary to an interior angle.
180°
70
62.5%

9. If a product of two numbers is Ø - one number must be
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Distance=rate×time or d=rt
Ø
(x+y)(x+y)

10. b¹
C = (pi)d
53 - 59
1
A central angle is an angle formed by 2 radii.

11. 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
B?b?b (where b is used as a factor n times)
27
Yes - like radicals can be added/subtracted.
180

12. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. In how many ways can the judges award the 3 prizes?
A set with a number of elements which can be counted.
A multiple of every integer
10! / (10-3)! = 720
Its divisible by 2 and by 3.

13. formula for volume of a rectangular solid
V=l×w×h
61 - 67
4096
A grouping of the members within a set based on a shared characteristic.

14. Area of a triangle?
y2-y1/x2-x1
The empty set - denoted by a circle with a diagonal through it.
An infinite set.
(base*height) / 2

15. Area of a circle
A reflection about the axis.
4096
$3 -500 in the 9% and $2 -500 in the 7%.
A=pi*(r^2)

16. a^2 - b^2
27^(-4)
360°
(a - b)(a + b)
(distance)/(rate) d/r

17. Evaluate (4^3)^2
An arc is a portion of a circumference of a circle.
4725
4096
48

18. 1 is an
(base*height) / 2
Undefined - because we can'T divide by 0.
ODD number
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

19. 8.84 / 5.2
P(E) = ø
1.7
2
1 & 37/132

20. What transformation occurs if point C is reflected over the x-axis and then the y-axis?
X
90°
A reflection about the axis.
y/x is a constant

21. Which is greater? 200x^295 or 10x^294?
Subtract them. i.e (5^7)/(5^3)= 5^4
Relationship cannot be determined (what if x is negative?)
6
Every number

22. If you have a set of n objects - but you only want to order k of them - what formula do you use to determine the number of permutations?
Ø
N! / (n-k)!
1
An expression with just one term (-6x - 2a^2)

23. Area of a Parallelogram:
28. n = 8 - k = 2. n! / k!(n-k)!
x²-2xy+y²
A=(base)(height)
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.

24. A quadrilateral where two diagonals bisect each other
Parallelogram
Smallest positive integer
Sum of digits is a multiple of 3 and the last digit is even.
23 - 29

25. Rate
The union of A and B.
D/t (distance)/(time)
Factors are few - multiples are many.
A²+b²=c²

26. x^4 + x^7 =
Yes - like radicals can be added/subtracted.
67 - 71 - 73
x^(4+7) = x^11
Straight Angle

27. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
Every number
The set of output values for a function.
Two angles whose sum is 90.

28. What are the integers?
All numbers multiples of 1.
An infinite set.
angle that is greater than 90° but less than 180°
0

29. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
Members or elements
M
2sqrt6
0

30. The larger the absolute value of the slope...
The steeper the slope.
True
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)
M

31. What are the real numbers?
16.6666%
The interesection of A and B.
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)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

32. What is the measure of an exterior angle of a regular pentagon?
The set of output values for a function.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
72
Two angles whose sum is 90.

33. If a is inversely porportional to b - what does it equal?
x²+2xy+y²
4:5
A = pi(r^2)
Ab=k (k is a constant)

34. Volume of a rectangular box
V=Lwh
The steeper the slope.
28. n = 8 - k = 2. n! / k!(n-k)!
C = 2(pi)r

35. What is the 'Solution' for a set of inequalities.
(a - b)(a + b)
(length)(width)(height)
The overlapping sections.
Relationship cannot be determined (what if x is negative?)

36. Consecutive integers
A reflection about the axis.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
x - x+1 - x+2
F(x) + c

37. Ø²
A multiple of every integer
x^(6-3) = x^3
Even
Ø

38. 2³×7³
P(E) = 1/1 = 1
3
(2x7)³
Ø

39. Legs 6 - 8. Hypotenuse?
10
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Diameter(Pi)
Distance=rate×time or d=rt

40. The Denominator can never
Be Zero!
V=l×w×h
F(x) - c
4725

41. What is a percent?
1/a^6
A percent is a fraction whose denominator is 100.
5 - 12 - 13
(pi)r²

42. What is the side length of an equilateral triangle with altitude 6?
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...
Null
angle that is greater than 90° but less than 180°
Ø

43. 25/2³
(a - b)(a + b)
2²
2sqrt6
(a - b)(a + b)

44. P and r are factors of 100. What is greater - pr or 100?
180°
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Indeterminable.
Right

45. binomial product of (x+y)(x-y)
Positive
Even prime number
x²-y²
A 30-60-90 triangle.

46. Slope of any line that goes down as you move from left to right is
Negative
The sum of its digits is divisible by 3.
12sqrt2
90

47. 6w^2 - w - 15 = 0
3/2 - 5/3
A set with no members - denoted by a circle with a diagonal through it.
13
12sqrt2

48. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
The sum of the digits is a multiple of 9.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
1
Triangles with same measure and same side lengths.

49. 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?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
27
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
441000 = 1 10 10 10 21 * 21

50. the slope of a line in y=mx+b
P= 2L + 2w
Add them. i.e. (5^7) * (5^3) = 5^10
V=Lwh
M