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. 30 60 90
Diameter(Pi)
5 - 12 - 13
Ø
F(x + c)

2. What is the surface area of a cylinder with radius 5 and height 8?
1:sqrt3:2
2.592 kg
130pi
52

3. How to recognize a # as a multiple of 4
2.592 kg
62.5%
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)

4. To multiply a number by 10^x
The second graph is less steep.
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
X
Move the decimal point to the right x places

5. Important properties of a 30-60-90 triangle?
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
180
Factors are few - multiples are many.
Every number

6. Distance
(rate)(time) d=rt
A-b is negative
3/2 - 5/3
1:1:sqrt2

7. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
(rate)(time) d=rt
X
Edge³
4725

8. A number is divisible by 4 is...
Its last two digits are divisible by 4.
90°
Triangles with same measure and same side lengths.
D=rt so r= d/t and t=d/r

9. Area of a triangle?
(n-2) x 180
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)
(base*height) / 2
Two (Ø×2=Ø)

10. Any Horizontal line slope
The sum of the digits is a multiple of 9.
28. n = 8 - k = 2. n! / k!(n-k)!
zero
The set of elements found in both A and B.

11. 1/2 divided by 3/7 is the same as
X
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
1/2 times 7/3
9 : 25

12. Solve the quadratic equation ax^2 + bx + c= 0
Do not have slopes!
The last 2 digits are a multiple of 4. (i.e 144 .... 44 is a multiple of 4 - so 144 must also be a multiple of 4.)
The two xes after factoring.
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

13. 1n
Move the decimal point to the right x places
1
y = (x + 5)/2
7 / 1000

14. Simplify the expression (p^2 - q^2)/ -5(q - p)
Undefined - because we can'T divide by 0.
(p + q)/5
61 - 67
(a + b)^2

15. 10^6 has how many zeroes?
2(pi)r
An is positive
The overlapping sections.
6

16. What is the sum of the angles of a triangle?
y2-y1/x2-x1
Cd
180 degrees
Pi(diameter)

17. What is a major arc?

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

18. What is the graph of f(x) shifted upward c units or spaces?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
F(x) + c
1
x²-2xy+y²

19. The product of odd number of negative numbers
Right
A reflection about the origin.
1
Negative

20. What is an arc of a circle?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Ab+ac
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)
An arc is a portion of a circumference of a circle.

21. What is the area of a regular hexagon with side 6?
x²-2xy+y²
V=l×w×h
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A reflection about the axis.

22. the measure of a straight angle
180°
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1
16.6666%

23. Is 0 even or odd?
Positive or Negative
360°
P(E) = 1/1 = 1
Even

24. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
75:11
Negative
A grouping of the members within a set based on a shared characteristic.

25. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
Ø
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
All numbers multiples of 1.
Factors are few - multiples are many.

26. formula for distance problems
A=(base)(height)
No - only like radicals can be added.
Distance=rate×time or d=rt
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

27. The sum of all angles around a point
10! / 3!(10-3)! = 120
360°
4096
27^(-4)

28. 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?
The sum of its digits is divisible by 3.
6
28. n = 8 - k = 2. n! / k!(n-k)!
y = 2x^2 - 3

29. What is the maximum value for the function g(x) = (-2x^2) -1?
1
(n-2) x 180
The set of elements found in both A and B.
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)

30. A prime number (or a prime)
M= (Y1-Y2)/(X1-X2)
2
A multiple of every integer
A natural number greater than 1 that has no positive divisors other than 1 and itself

31. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
Edge³
Triangles with same measure and same side lengths.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
3

32. Legs 6 - 8. Hypotenuse?
180
10
V=Lwh
5 OR -5

33. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
52
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
(a - b)(a + b)
The union of A and B.

34. 1/Ø=null If a>b then
A<-b
13pi / 2
P= 2L + 2w
53 - 59

35. The larger the absolute value of the slope...
Diameter(Pi)
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
The steeper the slope.
Ø

36. Describe the relationship between 3x^2 and 3(x - 1)^2
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
3
A+c<b+c
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

37. 8.84 / 5.2
D/t (distance)/(time)
12! / 5!7! = 792
28. n = 8 - k = 2. n! / k!(n-k)!
1.7

38. The ratio of the areas of two similar polygons is ...
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
1
Straight Angle
... the square of the ratios of the corresponding sides.

39. factored binomial product of (x+y)²
Subtract them. i.e (5^7)/(5^3)= 5^4
x²+2xy+y²
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
1

40. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
Positive or Negative
N! / (k!)(n-k)!
Two angles whose sum is 90.
The set of elements found in both A and B.

41. Which is greater? 64^5 or 16^8
1/x
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
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

42. Ø is a multiple of
x²-y²
Every number
9 & 6/7
Null

43. In any polygon - all external angles equal up to
C = 2(pi)r
360°
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Ø

44. a^2 + 2ab + b^2
(a + b)^2
1
31 - 37
The second graph is less steep.

45. Which is greater? 27^(-4) or 9^(-8)
(p + q)/5
The triangle is a right triangle. The triangle is isosceles (AC=BC). The ratio of the lengths of the three sides is x:x:xv2.
27^(-4)
Positive or Negative

46. Perfect Squares 1-15
M= (Y1-Y2)/(X1-X2)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
All numbers multiples of 1.
B?b?b (where b is used as a factor n times)

47. The consecutive angles in a parallelogram equal
180°
180 degrees
Edge³
Ø

48. 1 is the
26
27
A subset.
Smallest positive integer

49. Factor x^2 - xy + x.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
All numbers multiples of 1.
x(x - y + 1)
The second graph is less steep.

50. Slope of any line that goes down as you move from left to right is
Negative
48
.0004809 X 10^11
12.5%