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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. First 10 prime #s
F(x) + c
A grouping of the members within a set based on a shared characteristic.
Two equal sides and two equal angles.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

2. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
V=side³
Ab=k (k is a constant)

3. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
A-b is negative
5
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.)

4. 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?
The longest arc between points A and B on a circle'S diameter.
(distance)/(rate) d/r
52
360/n

5. 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?
90
A²+b²=c²
B?b?b (where b is used as a factor n times)
10! / (10-3)! = 720

6. Ø divided by 7
x - x(SR3) - 2x
All numbers multiples of 1.
180 degrees
Ø

7. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
41 - 43 - 47
2
11 - 13 - 17 - 19
All numbers multiples of 1.

8. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
(a - b)^2
C = (pi)d
3

9. If a lamp decreases to $80 - from $100 - what is the decrease in price?
83.333%
2.592 kg
Ø
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

10. factored binomial product of (x-y)²
angle that is greater than 90° but less than 180°
Yes - like radicals can be added/subtracted.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
x²-2xy+y²

11. A number is divisible by 4 is...
12.5%
Its last two digits are divisible by 4.
Right
90

12. a(b-c)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Ab-ac
EVEN
1 & 37/132

13. Write 10 -843 X 10^7 in scientific notation
Reciprocal
y = 2x^2 - 3
1.0843 X 10^11
F(x + c)

14. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
Positive
2(pi)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)
A reflection about the origin.

15. What is the 'domain' of a function?
Positive or Negative
(b + c)
The set of input values for a function.
2 & 3/7

16. 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?
A-b is positive
67 - 71 - 73
500
Indeterminable.

17. 10^6 has how many zeroes?
Cd
D/t (distance)/(time)
Its divisible by 2 and by 3.
6

18. Ø Is neither
Two equal sides and two equal angles.
Null
Positive or Negative
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

19. How to recognize a # as a multiple of 3
1
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)
A = length x width
Ø

20. What is the ratio of the sides of an isosceles right triangle?
1:1:sqrt2
x - x(SR3) - 2x
1 & 37/132
The longest arc between points A and B on a circle'S diameter.

21. If Event is impossible
P(E) = ø
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
Ab=k (k is a constant)
Every number

22. 200 <_ x <_ 300. How many values of x are divisible by 5 & 8?
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
3
M
P=4s (s=side)

23. Define a 'monomial'
75:11
The two xes after factoring.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An expression with just one term (-6x - 2a^2)

24. 25/2³
2²
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)
52
Undefined - because we can'T divide by 0.

25. What is the surface area of a cylinder with radius 5 and height 8?
130pi
A percent is a fraction whose denominator is 100.
Add them. i.e. (5^7) * (5^3) = 5^10
P(E) = number of favorable outcomes/total number of possible outcomes

26. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
(amount of decrease/original price) x 100%
20.5
Pi(diameter)
A 30-60-90 triangle.

27. What is the empty set?
$11 -448
8
A set with no members - denoted by a circle with a diagonal through it.
(pi)r²

28. Find distance when given time and rate
y = (x + 5)/2
P=2(l+w)
F(x) + c
D=rt so r= d/t and t=d/r

29. formula for distance problems
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Distance=rate×time or d=rt
y = (x + 5)/2
72

30. Slope
75:11
P=2(l+w)
Relationship cannot be determined (what if x is negative?)
y2-y1/x2-x1

31. Factor x^2 - xy + x.
x(x - y + 1)
Move the decimal point to the right x places
2sqrt6
F(x-c)

32. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
5 - 12 - 13
3/2 - 5/3
28. n = 8 - k = 2. n! / k!(n-k)!
4725

33. What is the ratio of the sides of a 30-60-90 triangle?
1/x
1:sqrt3:2
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.)

34. What is the 'Solution' for a set of inequalities.
The overlapping sections.
The sum of the digits is a multiple of 9.
3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

35. How many sides does a hexagon have?
6
Even
The interesection of A and B.
Factors are few - multiples are many.

36. What are the smallest three prime numbers greater than 65?
1 - P(E)
7 / 1000
A multiple of every integer
67 - 71 - 73

37. Convert 0.7% to a fraction.
5 OR -5
7 / 1000
The direction of the inequality is reversed.
A tangent is a line that only touches one point on the circumference of a circle.

38. Area of a triangle
2
A set with a number of elements which can be counted.
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...
A= (1/2) b*h

39. Describe the relationship between 3x^2 and 3(x - 1)^2
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 graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Positive or Negative
Ab+ac

40. The objects in a set are called two names:
Negative
Members or elements
Ø=P(E)=1
23 - 29

41. 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))?
x^(2(4)) =x^8 = (x^4)^2
20.5
The longest arc between points A and B on a circle'S diameter.
(a - b)(a + b)

42. formula for the volume of a cube
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
12.5%
P(E) = number of favorable outcomes/total number of possible outcomes
V=side³

43. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
9
90°
Sum of digits is a multiple of 3 and the last digit is even.

44. What is the graph of f(x) shifted right c units or spaces?
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
Smallest positive integer
Ø
F(x-c)

45. bn
Lies opposite the greater angle
(rate)(time) d=rt
B?b?b (where b is used as a factor n times)
4:5

46. formula for area of a triangle
2(pi)r
A=½bh
Ø Ø=Ø
Undefined

47. To increase a number by x%
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
Null
(n-2) x 180

48. If a lamp increases from $80 to $100 - what is the percent increase?
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Infinite.
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
Be Zero!

49. What are the roots of the quadrinomial x^2 + 2x + 1?
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)
Ø
Its last two digits are divisible by 4.
The two xes after factoring.

50. 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?
A=pi*(r^2)
20.5
Parallelogram
441000 = 1 10 10 10 21 * 21