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. To increase a number by x%
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
67 - 71 - 73
61 - 67
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

2. Volume of a rectangular solid
1:1:sqrt2
(length)(width)(height)
1
Sector area = (n/360) X (pi)r^2

3. If a is negative and n is even then an is (positive or negative?)
(a - b)(a + b)
An is positive
The sum of its digits is divisible by 3.
A reflection about the axis.

4. If a<b - then
A+c<b+c
x(x - y + 1)
10! / (10-3)! = 720
Sum of digits is a multiple of 3 and the last digit is even.

5. binomial product of (x+y)²
1
1
3
(x+y)(x+y)

6. How to find the circumference of a circle which circumscribes a square?
an angle that is less than 90°
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
18
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)

7. Area of a rectangle
Ø
288 (8 9 4)
y/x is a constant
A = length x width

8. 1/2 divided by 3/7 is the same as
180
Its divisible by 2 and by 3.
1/2 times 7/3
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

9. When multiplying exponential #s with the same base - you do this to the exponents...
2
Add them. i.e. (5^7) * (5^3) = 5^10
Infinite.
x^(6-3) = x^3

10. 2 is the only
27^(-4)
Even prime number
x^(2(4)) =x^8 = (x^4)^2
360°

11. What are the rational numbers?
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(2x7)³
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
A 30-60-90 triangle.

12. a^2 - b^2
(a - b)^2
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
(a - b)(a + b)
10! / 3!(10-3)! = 120

13. What are the real numbers?
N! / (n-k)!
NOT A PRIME
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)
1

14. What percent of 40 is 22?
3
All numbers multiples of 1.
55%
Edge³

15. 3 is the opposite of
x²-y²
3
8
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

16. 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
x²-y²
5 - 12 - 13
A grouping of the members within a set based on a shared characteristic.

17. In a Regular Polygon - the measure of each exterior angle
$3 -500 in the 9% and $2 -500 in the 7%.
Its divisible by 2 and by 3.
X
360/n

18. Number of degrees in a triangle
180
x^(4+7) = x^11
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

19. Pi is a ratio of what to what?

20. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
Ab-ac
10! / 3!(10-3)! = 120
55%
(pi)r²

21. 7 divided by Ø
Even prime number
4725
Indeterminable.
Null

22. What are the irrational numbers?

23. 40 < all primes<50
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
41 - 43 - 47
1
2²

24. If y is directly proportional to x - what does it equal?
X
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
x^(6-3) = x^3
y/x is a constant

25. 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?
360°
x²-y²
10! / (10-3)! = 720
Lies opposite the greater angle

26. 1 is an
y/x is a constant
The sum of its digits is divisible by 3.
2(pi)r
ODD number

27. What is a percent?
A percent is a fraction whose denominator is 100.
an angle that is less than 90°
Ø Ø=Ø
3 - -3

28. In a Rectangle - each angles measures
A = pi(r^2)
11 - 13 - 17 - 19
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
90°

29. a>b then a - b is positive or negative?
3 - 4 - 5
The sum of the digits is a multiple of 9.
6
A-b is positive

30. Probability of an Event
The second graph is less steep.
P(E) = number of favorable outcomes/total number of possible outcomes
Its divisible by 2 and by 3.
1

31. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
The second graph is less steep.
9 : 25
Negative
D/t (distance)/(time)

32. What are 'Supplementary angles?'
Two angles whose sum is 180.
x²+2xy+y²
All numbers multiples of 1.
an angle that is less than 90°

33. The reciprocal of any non-zero number is
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.
P(E) = number of favorable outcomes/total number of possible outcomes
x^(6-3) = x^3
1/x

34. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
4096
12! / 5!7! = 792
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)

35. If r - t - s & u are distinct - consecutive prime numbers - less than 31 - which of the following could be an average of them (4 - 4.25 - 6 - 9 - 24 - 22 - 24)
V=side³
4.25 - 6 - 22
180
The longest arc between points A and B on a circle'S diameter.

36. (2²)³
Pi(diameter)
Two (Ø×2=Ø)
26
an angle that is less than 90°

37. 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?
90pi
Ab-ac
Lies opposite the greater angle
441000 = 1 10 10 10 21 * 21

38. Ø Is
EVEN
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
N! / (k!)(n-k)!

39. What is the side length of an equilateral triangle with altitude 6?
55%
90
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...
$11 -448

40. Formula to find a circle'S circumference from its diameter?
Ab-ac
C = (pi)d
= (actual decrease/Original amount) x 100%
V=Lwh

41. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
Two angles whose sum is 180.
90
A 30-60-90 triangle.
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.)

42. Circumference of a Circle
N! / (k!)(n-k)!
1
C=2 x pi x r OR pi x D
Yes - like radicals can be added/subtracted.

43. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
(distance)/(rate) d/r
180°
8

44. 1/Ø=null If a>b then
83.333%
9
13
A<-b

45. What is a finite set?
A set with a number of elements which can be counted.
2sqrt6
12sqrt2
4a^2(b)

46. Acute Angle
x - x+1 - x+2
an angle that is less than 90°
M= (Y1-Y2)/(X1-X2)
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

47. What is the set of elements which can be found in either A or B?
The union of A and B.
P= 2L + 2w
.0004809 X 10^11
10! / (10-3)! = 720

48. Factor a^2 + 2ab + b^2
The set of input values for a function.
A-b is negative
(a + b)^2
4:5

49. -3³
27
The two xes after factoring.
The objects within a set.
Members or elements

50. (a^-1)/a^5
F(x-c)
1/a^6
12.5%
The second graph is less steep.