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. A number is divisible by 3 if ...
Null
The steeper the slope.
The sum of its digits is divisible by 3.
The point of intersection of the systems.

2. Ø divided by 7
Ø
No - only like radicals can be added.
An infinite set.
A subset.

3. Area of a Parallelogram:
A=(base)(height)
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
180

4. Which is greater? 200x^295 or 10x^294?
1.7
Relationship cannot be determined (what if x is negative?)
180°
Move the decimal point to the right x places

5. 0^0
(pi)r²
A=½bh
Undefined
(2x7)³

6. a^2 - 2ab + b^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(a - b)^2
The shortest arc between points A and B on a circle'S diameter.
1

7. bn
28
3/2 - 5/3
B?b?b (where b is used as a factor n times)
28. n = 8 - k = 2. n! / k!(n-k)!

8. binomial product of (x+y)²
A+c<b+c
(a + b)^2
A 30-60-90 triangle.
(x+y)(x+y)

9. Volume of a rectangular solid
(length)(width)(height)
F(x) + c
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
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

10. How many multiples does a given number have?
Infinite.
Parallelogram
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
The sum of its digits is divisible by 3.

11. Ø is a multiple of
67 - 71 - 73
Be Zero!
1
Two (Ø×2=Ø)

12. Simplify (a^2 + b)^2 - (a^2 - b)^2
4a^2(b)
5 - 12 - 13
Negative
x - x+1 - x+2

13. What is the maximum value for the function g(x) = (-2x^2) -1?
1
2(pi)r
Its last two digits are divisible by 4.
Ø

14. 6w^2 - w - 15 = 0
4a^2(b)
Ø
3/2 - 5/3
The objects within a set.

15. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
A tangent is a line that only touches one point on the circumference of a circle.
True
180

16. formula for distance problems
Distance=rate×time or d=rt
A-b is negative
An expression with just one term (-6x - 2a^2)
y = 2x^2 - 3

17. The important properties of a 45-45-90 triangle?
The set of output values for a function.
Reciprocal
1
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.

18. Vertical lines
(2x7)³
Two angles whose sum is 180.
Do not have slopes!
Null

19. Pythagorean theorem
5
5 - 12 - 13
Even prime number
A²+b²=c²

20. 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
Two angles whose sum is 90.
(x+y)(x-y)
18
An expression with just one term (-6x - 2a^2)

21. Any Horizontal line slope
(a + b)^2
27^(-4)
zero
Ab+ac

22. 30 60 90
A²+b²=c²
5 - 12 - 13
360°
1/x

23. In a Regular Polygon - the measure of each exterior angle
Straight Angle
360/n
The set of elements which can be found in either A or B.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

24. (6sqrt3) x (2sqrt5) =
1
1/x
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
A=½bh

25. -3²
The union of A and B.
441000 = 1 10 10 10 21 * 21
The sum of the digits is a multiple of 9.
9

26. The consecutive angles in a parallelogram equal
180°
4a^2(b)
An expression with just one term (-6x - 2a^2)
(2x7)³

27. Find distance when given time and rate
288 (8 9 4)
.0004809 X 10^11
12sqrt2
D=rt so r= d/t and t=d/r

28. 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?
6 : 1 : 2
F(x-c)
500
5 OR -5

29. Perimeter of a rectangle
P= 2L + 2w
9 : 25
D=rt so r= d/t and t=d/r
(distance)/(rate) d/r

30. A number is divisible by 6 if...
Its divisible by 2 and by 3.
A reflection about the origin.
The set of output values for a function.
Cd

31. What are the members or elements of a set?
A+c<b+c
The objects within a set.
A = pi(r^2)
Ø

32. X is the opposite of
Ab=k (k is a constant)
X
1:sqrt3:2
y = (x + 5)/2

33. What are complementary angles?
M= (Y1-Y2)/(X1-X2)
Two angles whose sum is 90.
y2-y1/x2-x1
Distance=rate×time or d=rt

34. What is a finite set?
A set with a number of elements which can be counted.
The set of input values for a function.
Ab+ac
The point of intersection of the systems.

35. What is the surface area of a cylinder with radius 5 and height 8?
(a + b)^2
Ab+ac
130pi
A reflection about the axis.

36. b¹
The set of output values for a function.
P(E) = 1/1 = 1
83.333%
1

37. In any polygon - all external angles equal up to
360°
Members or elements
The two xes after factoring.
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

38. What is the ratio of the sides of a 30-60-90 triangle?
37.5%
A=pi*(r^2)
A=½bh
1:sqrt3:2

39. Legs: 3 - 4. Hypotenuse?
83.333%
Ø Ø=Ø
4725
5

40. 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?
75:11
D=rt so r= d/t and t=d/r
The sum of digits is divisible by 9.
180

41. What is the 'Range' of a series of numbers?
4:5
Distance=rate×time or d=rt
The greatest value minus the smallest.
N! / (n-k)!

42. What is the 'domain' of a function?
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...
x(x - y + 1)
The set of input values for a function.
(p + q)/5

43. Probability of Event all cases
Ø=P(E)=1
Edge³
180
Can be negative - zero - or positive

44. The sum of the angles in a quadrilateral is
360°
41 - 43 - 47
The set of input values for a function.
1/x

45. Reduce: 4.8 : 0.8 : 1.6
Be Zero!
V=side³
(distance)/(rate) d/r
6 : 1 : 2

46. What is a tangent?
360°
A tangent is a line that only touches one point on the circumference of a circle.
An infinite set.
2^9 / 2 = 256

47. Whats the difference between factors and multiples?
Factors are few - multiples are many.
Reciprocal
3 - 4 - 5
Positive

48. Probability of E not occurring:
A = length x width
F(x) - c
F(x) + c
1 - P(E)

49. How to recognize a # as a multiple of 4
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.)
NOT A PRIME
3
The direction of the inequality is reversed.

50. How to recognize a # as a multiple of 3
(distance)/(rate) d/r
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)
V=side³
10