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. How many sides does a hexagon have?
6
Positive
Two (Ø×2=Ø)
Edge³

2. (6sqrt3) x (2sqrt5) =
(length)(width)(height)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Yes - like radicals can be added/subtracted.
52

3. 4.809 X 10^7 =
EVEN
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
.0004809 X 10^11

4. When dividing exponential #s with the same base - you do this to the exponents...
The two xes after factoring.
Sum of digits is a multiple of 3 and the last digit is even.
Ø
Subtract them. i.e (5^7)/(5^3)= 5^4

5. 3/8 in percent?
1.0843 X 10^11
7 / 1000
Members or elements
37.5%

6. (x-y)²
x²-2xy+y²
Be Zero!
(a - b)(a + b)
75:11

7. formula for the volume of a cube
... the square of the ratios of the corresponding sides.
V=side³
D=rt so r= d/t and t=d/r
The point of intersection of the systems.

8. 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
180°
The second graph is less steep.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
180

9. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
An isosceles right triangle.
Positive
Ø Ø=Ø
Members or elements

10. What is a chord of a circle?
A chord is a line segment joining two points on a circle.
55%
4a^2(b)
90

11. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
61 - 67
Can be negative - zero - or positive
Do not have slopes!

12. 40 < all primes<50
41 - 43 - 47
Undefined - because we can'T divide by 0.
The second graph is less steep.
9 & 6/7

13. 25^(1/2) or sqrt. 25 =
1.0843 X 10^11
5 OR -5
A tangent is a line that only touches one point on the circumference of a circle.
All numbers multiples of 1.

14. If an inequality is multiplied or divided by a negative number....
1:1:sqrt2
C = 2(pi)r
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
The direction of the inequality is reversed.

15. 2³×7³
(2x7)³
V=l×w×h
The set of input values for a function.
6

16. 30 60 90
(a + b)^2
x²-2xy+y²
Ø=P(E)=1
x - x(SR3) - 2x

17. To decrease a number by x%
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
The sum of its digits is divisible by 3.
3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

18. What does scientific notation mean?
Lies opposite the greater angle
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
A = pi(r^2)

19. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
A set with no members - denoted by a circle with a diagonal through it.
x^(4+7) = x^11
(x+y)(x-y)

20. b¹
A 30-60-90 triangle.
1
Two equal sides and two equal angles.
F(x + c)

21. x^2 = 9. What is the value of x?
The sum of the digits it a multiple of 3 and the last two digits is a multiple of 4. (i.e 144: 1+4+4=9 which is a multiple of 3 - and 44 is a multiple of 4 - so 144 is a multiple of 12.)
3 - -3
A=½bh
3x - 4x - 5x

22. What are congruent triangles?
Triangles with same measure and same side lengths.
2
3x - 4x - 5x
Lies opposite the greater angle

23. Rate
All numbers multiples of 1.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
D/t (distance)/(time)
28. n = 8 - k = 2. n! / k!(n-k)!

24. What number between 70 & 75 - inclusive - has the greatest number of factors?
12! / 5!7! = 792
3
10! / 3!(10-3)! = 120
72

25. Ø Is
Indeterminable.
True
F(x-c)
EVEN

26. -3³
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
The objects within a set.
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...

27. What is an isoceles triangle?
Its divisible by 2 and by 3.
Two equal sides and two equal angles.
1/a^6
2 & 3/7

28. 10<all primes<20
(b + c)
An is positive
11 - 13 - 17 - 19
Smallest positive integer

29. Area of a rectangle
A = length x width
angle that is greater than 90° but less than 180°
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
P=2(l+w)

30. 1 is an
ODD number
A=(base)(height)
x²-2xy+y²
Diameter(Pi)

31. How to recognize a multiple of 6
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
B?b?b (where b is used as a factor n times)
(x+y)(x-y)
Sum of digits is a multiple of 3 and the last digit is even.

32. Formula for the area of a circle?
71 - 73 - 79
4:5
An arc is a portion of a circumference of a circle.
A = pi(r^2)

33. What is a tangent?
2 & 3/7
16.6666%
180
A tangent is a line that only touches one point on the circumference of a circle.

34. Area of a triangle
Relationship cannot be determined (what if x is negative?)
70
A= (1/2) b*h
y2-y1/x2-x1

35. Simplify 4sqrt21 X 5sqrt2 / 10sqrt7
The sum of its digits is divisible by 3.
A tangent is a line that only touches one point on the circumference of a circle.
2sqrt6
The overlapping sections.

36. If y is directly proportional to x - what does it equal?
(a + b)^2
441000 = 1 10 10 10 21 * 21
0
y/x is a constant

37. 5/8 in percent?
An isosceles right triangle.
2.592 kg
1/x
62.5%

38. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
= (actual decrease/Original amount) x 100%
83.333%
67 - 71 - 73
3

39. Slope of any line that goes up from left to right
y2-y1/x2-x1
Positive
All numbers multiples of 1.
The longest arc between points A and B on a circle'S diameter.

40. Volume of a rectangular solid
3/2 - 5/3
Smallest positive integer
(length)(width)(height)
Even prime number

41. The consecutive angles in a parallelogram equal
10! / 3!(10-3)! = 120
Be Zero!
180°
55%

42. Ø is
The empty set - denoted by a circle with a diagonal through it.
A multiple of every integer
... the square of the ratios of the corresponding sides.
The set of input values for a function.

43. the slope of a line in y=mx+b
A+c<b+c
C = 2(pi)r
M
P= 2L + 2w

44. Distance
(base*height) / 2
13pi / 2
(rate)(time) d=rt
27^(-4)

45. What are 'Supplementary angles?'
Two angles whose sum is 180.
288 (8 9 4)
.0004809 X 10^11
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

46. A quadrilateral where two diagonals bisect each other
2.592 kg
Parallelogram
75:11
28. n = 8 - k = 2. n! / k!(n-k)!

47. A number is divisible by 3 if ...
An is positive
360°
The sum of its digits is divisible by 3.
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.

48. 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?
Ab=k (k is a constant)
N! / (n-k)!
NOT A PRIME
A grouping of the members within a set based on a shared characteristic.

49. How do you solve proportions? a/b=c/d
75:11
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
26
4:5

50. If a lamp increases from $80 to $100 - what is the percent increase?
3
500
26
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%