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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. Can you subtract 3sqrt4 from sqrt4?
A set with no members - denoted by a circle with a diagonal through it.
A=½bh
Yes - like radicals can be added/subtracted.
3 - -3

2. 30 60 90
Every number
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x - x(SR3) - 2x
360°

3. Legs 5 - 12. Hypotenuse?
13
Ab-ac
(distance)/(rate) d/r
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)

4. 2³×7³
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
An is positive
X
(2x7)³

5. Formula for the area of a circle?
A=(base)(height)
A = pi(r^2)
0
(2x7)³

6. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
The point of intersection of the systems.
A²+b²=c²
The union of A and B.

7. Perimeter of a rectangle
P= 2L + 2w
.0004809 X 10^11
Positive
Negative

8. P and r are factors of 100. What is greater - pr or 100?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
P(E) = ø
Diameter(Pi)
Indeterminable.

9. The Perimeter of a rectangle
A-b is negative
P=2(l+w)
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.)
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. 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)
Reciprocal
Ab-ac
4.25 - 6 - 22
10! / 3!(10-3)! = 120

11. 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?
(x+y)(x-y)
Undefined - because we can'T divide by 0.
F(x) + c
9 : 25

12. formula for area of a triangle
A=½bh
Negative
9
2.592 kg

13. The important properties of a 45-45-90 triangle?
16.6666%
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.
500
$3 -500 in the 9% and $2 -500 in the 7%.

14. If a product of two numbers is Ø - one number must be
Ø
An isosceles right triangle.
P=2(l+w)
A chord is a line segment joining two points on a circle.

15. T or F? Given d -e &f =/ 0 - [(d^3)e(f^5)] / 2d(e^3) / [3(d^2)(e^3)(f^7)] / [6(e^5)(f^2)]?
Positive or Negative
True
3
N! / (n-k)!

16. 1 is the
Smallest positive integer
Undefined - because we can'T divide by 0.
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...
180°

17. the measure of a straight angle
6
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
180°

18. (6sqrt3) x (2sqrt5) =
Negative
12! / 5!7! = 792
2²
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

19. What is a central angle?
A reflection about the origin.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
9
A central angle is an angle formed by 2 radii.

20. The reciprocal of any non-zero number is
(length)(width)(height)
1/x
3 - 4 - 5
1

21. (x-y)²
A set with a number of elements which can be counted.
4:5
B?b?b (where b is used as a factor n times)
x²-2xy+y²

22. How do you solve proportions? a/b=c/d
2sqrt6
Move the decimal point to the right x places
A reflection about the origin.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

23. 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?
N! / (n-k)!
Ab=k (k is a constant)
y = 2x^2 - 3
1

24. Is 0 even or odd?
The set of input values for a function.
(base*height) / 2
Even
180

25. a<b then a - b is positive or negative?
A grouping of the members within a set based on a shared characteristic.
Diameter(Pi)
A-b is negative
8

26. Evaluate (4^3)^2
Parallelogram
4096
An expression with just one term (-6x - 2a^2)
A=(base)(height)

27. The ratio of the areas of two similar polygons is ...
Add them. i.e. (5^7) * (5^3) = 5^10
... the square of the ratios of the corresponding sides.
Even
y2-y1/x2-x1

28. What are 'Supplementary angles?'
9 : 25
P(E) = number of favorable outcomes/total number of possible outcomes
Two angles whose sum is 180.
Ø

29. Dividing by a number is the same as multiplying it by its
Reciprocal
M= (Y1-Y2)/(X1-X2)
Be Zero!
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.

30. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
x(x - y + 1)
Indeterminable.
2
1

31. 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?
67 - 71 - 73
52
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.
Be Zero!

32. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
Every number
An angle which is supplementary to an interior angle.
x^(4+7) = x^11

33. 25+2³
28
Cd
Pi is the ratio of a circle'S circumference to its diameter.
90°

34. What is a set with no members called?
F(x) + c
The empty set - denoted by a circle with a diagonal through it.
C = 2(pi)r
20.5

35. Find the surface area of a cylinder with radius 3 and height 12.
90pi
zero
360/n
Positive

36. (x-y)(x+y)
37.5%
x²-y²
Distance=rate×time or d=rt
angle that is greater than 90° but less than 180°

37. 7/8 in percent?
0
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
87.5%
(a - b)(a + b)

38. One is (a prime or not?)
500
NOT A PRIME
Undefined
Null

39. 30< all primes<40
.0004809 X 10^11
2.592 kg
31 - 37
x - x(SR3) - 2x

40. 1 is a divisor of
Every number
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)
Diameter(Pi)
Its last two digits are divisible by 4.

41. Define a 'monomial'
The set of elements found in both A and B.
x - x(SR3) - 2x
An expression with just one term (-6x - 2a^2)
(length)(width)(height)

42. 3 is the opposite of
3
Reciprocal
6
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

43. In a Regular Polygon - the measure of each exterior angle
360/n
Ø Ø=Ø
An infinite set.
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.

44. Evaluate 3& 2/7 / 1/3
9 & 6/7
2^9 / 2 = 256
4096
Yes - like radicals can be added/subtracted.

45. If the two sides of a triangle are unequal then the longer side.................
Lies opposite the greater angle
Ab-ac
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
No - only like radicals can be added.

46. What are the integers?
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
All numbers multiples of 1.
Null
P(E) = 1/1 = 1

47. 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?
55%
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...
The set of output values for a function.
441000 = 1 10 10 10 21 * 21

48. To increase a number by x%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
9
A²+b²=c²
Straight Angle

49. If E is certain
70
ODD number
P(E) = 1/1 = 1
x²-2xy+y²

50. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
20.5
A 30-60-90 triangle.
x²-y²
The set of elements which can be found in either A or B.