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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. 1:1:sqrt2 is the ratio of the sides of what kind of triangle?
A set with no members - denoted by a circle with a diagonal through it.
An isosceles right triangle.
130pi
4a^2(b)

2. What is the side length of an equilateral triangle with altitude 6?
angle that is greater than 90° but less than 180°
10! / (10-3)! = 720
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...
No - only like radicals can be added.

3. Can you add sqrt 3 and sqrt 5?
True
A-b is negative
M= (Y1-Y2)/(X1-X2)
No - only like radicals can be added.

4. Simplify the expression (p^2 - q^2)/ -5(q - p)
(p + q)/5
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
$11 -448
F(x-c)

5. 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
0
4:5
18
Two angles whose sum is 90.

6. What is the 'Range' of a function?
The set of output values for a function.
Triangles with same measure and same side lengths.
5 - 12 - 13
A subset.

7. How many sides does a hexagon have?
1 & 37/132
6
20.5
(a + b)^2

8. Slope of any line that goes down as you move from left to right is
Negative
The point of intersection of the systems.
26
A multiple of every integer

9. Which is greater? 64^5 or 16^8
V=side³
360°
(length)(width)(height)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

10. formula for area of a triangle
(rate)(time) d=rt
A=½bh
2²
1

11. Can you subtract 3sqrt4 from sqrt4?
A reflection about the axis.
13pi / 2
Yes - like radicals can be added/subtracted.
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.)

12. 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?
500
A=½bh
41 - 43 - 47
2

13. A number is divisible by 3 if ...
12sqrt2
The sum of its digits is divisible by 3.
The second graph is less steep.
1

14. The reciprocal of any non-zero number is
V=side³
Null
1/x
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.)

15. Which is greater? 200x^295 or 10x^294?
x²-y²
Relationship cannot be determined (what if x is negative?)
ODD number
0

16. What is an isoceles triangle?
Ab-ac
Two equal sides and two equal angles.
2²
9

17. Probability of Event all cases
A = pi(r^2)
3 - 4 - 5
Ø Ø=Ø
Ø=P(E)=1

18. Acute Angle
Pi(diameter)
A set with a number of elements which can be counted.
an angle that is less than 90°
23 - 29

19. What is the empty set?
130pi
A set with no members - denoted by a circle with a diagonal through it.
10! / (10-3)! = 720
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

20. What is an exterior angle?
An angle which is supplementary to an interior angle.
True
Factors are few - multiples are many.
(b + c)

21. a(b-c)
x(x - y + 1)
Ab-ac
0
Its last two digits are divisible by 4.

22. 25+2³
Edge³
10! / (10-3)! = 720
28
48

23. What is the slope of a horizontal line?
0
31 - 37
5 OR -5
C = (pi)d

24. Area of a Parallelogram:
A subset.
A=(base)(height)
x^(6-3) = x^3
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

25. 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?
180
360/n
Positive or Negative
52

26. What are the roots of the quadrinomial x^2 + 2x + 1?
Ø=P(E)=1
The two xes after factoring.
A multiple of every integer
4096

27. The only number that is equal to its opposite
The set of elements found in both A and B.
2.592 kg
F(x-c)
Ø Ø=Ø

28. Ø is a multiple of
360°
F(x) - c
Positive
Two (Ø×2=Ø)

29. Important properties of a 30-60-90 triangle?
31 - 37
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
NOT A PRIME
11 - 13 - 17 - 19

30. The consecutive angles in a parallelogram equal
x(x - y + 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.
180°
7 / 1000

31. What is the graph of f(x) shifted upward c units or spaces?
The set of output values for a function.
P=4s (s=side)
F(x) + c
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.

32. 1n
1
P(E) = number of favorable outcomes/total number of possible outcomes
83.333%
Relationship cannot be determined (what if x is negative?)

33. Ø²
Ø
360°
D=rt so r= d/t and t=d/r
(a + b)^2

34. 30 60 90
1:1:sqrt2
5 - 12 - 13
Relationship cannot be determined (what if x is negative?)
C=2 x pi x r OR pi x D

35. 70 < all primes< 80
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
71 - 73 - 79
Members or elements
0

36. To increase a number by x%
V=l×w×h
1 - P(E)
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Subtract them. i.e (5^7)/(5^3)= 5^4

37. The Denominator can never
Edge³
The sum of the digits is a multiple of 9.
Be Zero!
Ø Ø=Ø

38. Circumference of a circle
2(pi)r
28
1.7
P= 2L + 2w

39. 7/8 in percent?
The empty set - denoted by a circle with a diagonal through it.
87.5%
(distance)/(rate) d/r
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

40. Write 10 -843 X 10^7 in scientific notation
2²
Positive
A 30-60-90 triangle.
1.0843 X 10^11

41. 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)
4.25 - 6 - 22
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.
D/t (distance)/(time)

42. Is 0 even or odd?
0
Move the decimal point to the right x places
(a + b)^2
Even

43. Volume of a cube
1
Edge³
A = pi(r^2)
Straight Angle

44. If the two sides of a triangle are unequal then the longer side.................
M
Lies opposite the greater angle
0
48

45. Perimeter of a rectangle
P= 2L + 2w
16.6666%
A grouping of the members within a set based on a shared characteristic.
angle that is greater than 90° but less than 180°

46. A prime number (or a prime)
Sector area = (n/360) X (pi)r^2
Ø
A natural number greater than 1 that has no positive divisors other than 1 and itself
x²+2xy+y²

47. Ø is
(a + b)^2
72
A chord is a line segment joining two points on a circle.
A multiple of every integer

48. x^4 + x^7 =
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
x^(4+7) = x^11
3 - -3
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)

49. How to recognize a # as a multiple of 3
(base*height) / 2
75:11
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)
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

50. Pi is a ratio of what to what?

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