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. 50 < all primes< 60
180
90
16.6666%
53 - 59

2. The negative exponent x?n is equivalent to what?
0
Straight Angle
16.6666%
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

3. How do you solve proportions? a/b=c/d
x²-y²
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
B?b?b (where b is used as a factor n times)
3 - 4 - 5

4. 40 < all primes<50
41 - 43 - 47
6 : 1 : 2
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
28

5. Simplify the expression (p^2 - q^2)/ -5(q - p)
4:5
(p + q)/5
The union of A and B.
Pi(diameter)

6. A prime number (or a prime)
Triangles with same measure and same side lengths.
A natural number greater than 1 that has no positive divisors other than 1 and itself
Factors are few - multiples are many.
The steeper the slope.

7. What is a percent?
A percent is a fraction whose denominator is 100.
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.)
Factors are few - multiples are many.
C = 2(pi)r

8. a<b then a - b is positive or negative?
A-b is negative
Even
Two angles whose sum is 90.
(a - b)(a + b)

9. What is the maximum value for the function g(x) = (-2x^2) -1?
A percent is a fraction whose denominator is 100.
10
1
75:11

10. Ø Is
A=pi*(r^2)
1
EVEN
Infinite.

11. Whats the difference between factors and multiples?
Factors are few - multiples are many.
P= 2L + 2w
Null
4:5

12. What is the area of a regular hexagon with side 6?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Distance=rate×time or d=rt
18
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

13. What is the 'Solution' for a set of inequalities.
The overlapping sections.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
2 & 3/7
P=2(l+w)

14. 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)
9 & 6/7
27^(-4)
62.5%
4.25 - 6 - 22

15. 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?
Sector area = (n/360) X (pi)r^2
1/x
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.
10! / (10-3)! = 720

16. How to recognize a # as a multiple of 9
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The sum of the digits is a multiple of 9.
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)
V=side³

17. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
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.)
$11 -448

18. The Perimeter of a rectangle
Smallest positive integer
P=2(l+w)
Two equal sides and two equal angles.
A<-b

19. What is a minor arc?

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

20. What are 'Supplementary angles?'
All numbers multiples of 1.
Two angles whose sum is 180.
1
x(x - y + 1)

21. The Perimeter of a Square
P=4s (s=side)
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
23 - 29
360/n

22. Circumference of a circle
Ø=P(E)=1
2(pi)r
3
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

23. What is the empty set?
C=2 x pi x r OR pi x D
(a - b)(a + b)
A set with no members - denoted by a circle with a diagonal through it.
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)

24. formula for the volume of a cube
441000 = 1 10 10 10 21 * 21
1.7
V=side³
The longest arc between points A and B on a circle'S diameter.

25. What are the smallest three prime numbers greater than 65?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
67 - 71 - 73
The set of elements which can be found in either A or B.

26. Which is greater? 64^5 or 16^8
(n-2) x 180
X
52
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

27. Legs 5 - 12. Hypotenuse?
13
1
12.5%
28

28. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
x²-2xy+y²
The set of output values for a function.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
72

29. 1 is the
1
6 : 1 : 2
Smallest positive integer
72

30. What are complementary angles?
Positive
Two angles whose sum is 90.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
y/x is a constant

31. What are congruent triangles?
Can be negative - zero - or positive
Triangles with same measure and same side lengths.
180 degrees
Pi is the ratio of a circle'S circumference to its diameter.

32. 30 60 90
M
3 - 4 - 5
A=(base)(height)
Add them. i.e. (5^7) * (5^3) = 5^10

33. 30 60 90
5 - 12 - 13
2
6 : 1 : 2
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008

34. a>b then a - b is positive or negative?
A-b is positive
F(x) - c
(pi)r²
The two xes after factoring.

35. 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?
A= (1/2) b*h
x²+2xy+y²
1/a^6
52

36. x^6 / x^3
x^(6-3) = x^3
Straight Angle
NOT A PRIME
A set with a number of elements which can be counted.

37. Simplify the expression [(b^2 - c^2) / (b - c)]
(x+y)(x-y)
(b + c)
Can be negative - zero - or positive
48

38. To increase a number by x%
Right
1 & 37/132
A natural number greater than 1 that has no positive divisors other than 1 and itself
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

39. Circumference of a circle?
x - x+1 - x+2
Diameter(Pi)
2
The set of output values for a function.

40. 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
441000 = 1 10 10 10 21 * 21
5
Two (Ø×2=Ø)
18

41. Area of a triangle
A= (1/2) b*h
Undefined
an angle that is less than 90°
x^(4+7) = x^11

42. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Factors are few - multiples are many.
The sum of its digits is divisible by 3.
An isosceles right triangle.

43. An Angle that'S 180°
y = (x + 5)/2
Straight Angle
71 - 73 - 79
3 - -3

44. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
F(x + c)
Two (Ø×2=Ø)
Cd
Smallest positive integer

45. What is the name of set with a number of elements which cannot be counted?
1/x
360°
An infinite set.
Ø

46. bn
1
1
B?b?b (where b is used as a factor n times)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

47. A number is divisible by 6 if...
Can be negative - zero - or positive
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Its divisible by 2 and by 3.
A natural number greater than 1 that has no positive divisors other than 1 and itself

48. What are the real numbers?
70
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)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A= (1/2) b*h

49. Area of a Parallelogram:
Sector area = (n/360) X (pi)r^2
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
A=(base)(height)
y = 2x^2 - 3

50. Formula for the area of a sector of a circle?
x²-y²
Sector area = (n/360) X (pi)r^2
360/n
A-b is negative