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. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Move the decimal point to the right x places
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
180°
An is positive

2. Important properties of a 30-60-90 triangle?
(n-2) x 180
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
N! / (k!)(n-k)!
NOT A PRIME

3. (x-y)²
Ø
Sector area = (n/360) X (pi)r^2
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
x²-2xy+y²

4. 1/Ø=null If a>b then
500
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
A<-b
2²

5. 5x^2 - 35x -55 = 0
A = length x width
2 & 3/7
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
72

6. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
Distance=rate×time or d=rt
61 - 67
Ø

7. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
90
EVEN
7 / 1000
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)

8. What is a set with no members called?
x²+2xy+y²
The empty set - denoted by a circle with a diagonal through it.
1:1:sqrt2
F(x-c)

9. 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?
41 - 43 - 47
3
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.
52

10. What is the relationship between lengths of the sides of a triangle and the measure of the angles of the triangle?
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.
(pi)r²
52
0

11. Pythagorean theorem
A²+b²=c²
Edge³
Subtract them. i.e (5^7)/(5^3)= 5^4
Add them. i.e. (5^7) * (5^3) = 5^10

12. 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?
(a - b)(a + b)
y = 2x^2 - 3
An is positive
Yes - like radicals can be added/subtracted.

13. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
Move the decimal point to the right x places
zero
The sum of its digits is divisible by 3.

14. 2³×7³
Straight Angle
180
4a^2(b)
(2x7)³

15. How to recognize a # as a multiple of 9
Lies opposite the greater angle
The sum of the digits is a multiple of 9.
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
180

16. A number is divisible by 9 if...
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A-b is negative
7 / 1000
The sum of digits is divisible by 9.

17. (6sqrt3) x (2sqrt5) =
0
10
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
P(E) = ø

18. Legs 5 - 12. Hypotenuse?
13
V=Lwh
Sector area = (n/360) X (pi)r^2
20.5

19. If a is positive - an is
x^(6-3) = x^3
Positive
(a + b)^2
31 - 37

20. Ø Is neither
A = pi(r^2)
Even
Positive or Negative
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

21. The consecutive angles in a parallelogram equal
Indeterminable.
Two angles whose sum is 90.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
180°

22. What is a major arc?

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

23. Define a 'Term' -
2²
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)
1 & 37/132
180

24. Evaluate (4^3)^2
P=2(l+w)
x²+2xy+y²
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
4096

25. What is the area of a regular hexagon with side 6?
Ø Ø=Ø
A natural number greater than 1 that has no positive divisors other than 1 and itself
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
The shortest arc between points A and B on a circle'S diameter.

26. 30 60 90
1
90pi
3x - 4x - 5x
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

27. What is the 'Solution' for a system of linear equations?
360°
Ø
The point of intersection of the systems.
... the square of the ratios of the corresponding sides.

28. formula for volume of a rectangular solid
An angle which is supplementary to an interior angle.
The objects within a set.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
V=l×w×h

29. (x-y)(x+y)
.0004809 X 10^11
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)
x²-y²
V=side³

30. What are the irrational numbers?

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

31. What is the slope of a vertical line?

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

32. What is the 'Range' of a function?
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
The set of output values for a function.
The second graph is less steep.
No - only like radicals can be added.

33. The Denominator can never
10
Be Zero!
1
(a - b)(a + b)

34. What is the empty set?
Triangles with same measure and same side lengths.
A set with no members - denoted by a circle with a diagonal through it.
Positive
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)

35. 40 < all primes<50
75:11
V=l×w×h
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
41 - 43 - 47

36. Simplify (a^2 + b)^2 - (a^2 - b)^2
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
4a^2(b)
Positive
Even prime number

37. If a<b - then
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.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
1
A+c<b+c

38. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
A set with no members - denoted by a circle with a diagonal through it.
1:1:sqrt2
16.6666%
28. n = 8 - k = 2. n! / k!(n-k)!

39. How to recognize if a # is a multiple of 12
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
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.)
Even
A+c<b+c

40. 7 divided by Ø
0
4725
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)
Null

41. Area of a circle
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.)
9 : 25
(pi)r²
75:11

42. To multiply a number by 10^x
11 - 13 - 17 - 19
Move the decimal point to the right x places
... the square of the ratios of the corresponding sides.
y/x is a constant

43. 8.84 / 5.2
1.7
Its divisible by 2 and by 3.
The sum of its digits is divisible by 3.
2^9 / 2 = 256

44. What is the surface area of a cylinder with radius 5 and height 8?
x²+2xy+y²
1:sqrt3:2
130pi
Positive

45. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
90
A percent is a fraction whose denominator is 100.
Cd
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

46. a(b-c)
The sum of the digits is a multiple of 9.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Ab-ac
(length)(width)(height)

47. Product of any number and Ø is
A=½bh
N! / (n-k)!
41 - 43 - 47
Ø

48. A number is divisible by 6 if...
Its divisible by 2 and by 3.
The set of elements which can be found in either A or B.
Even
13

49. Ø divided by 7
Its divisible by 2 and by 3.
Ø
(rate)(time) d=rt
26

50. In a Regular Polygon - the measure of each exterior angle
x^(6-3) = x^3
(rate)(time) d=rt
360/n
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29