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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. (x+y)²
True
The set of elements which can be found in either A or B.
x²+2xy+y²
C = (pi)d

2. How to recognize a # as a multiple of 4
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.)
.0004809 X 10^11
Ø
1

3. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A-b is positive
y = 2x^2 - 3
P=4s (s=side)

4. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
angle that is greater than 90° but less than 180°
75:11
Its last two digits are divisible by 4.

5. If a<b - then
The direction of the inequality is reversed.
Lies opposite the greater angle
Its divisible by 2 and by 3.
A+c<b+c

6. Probability of an Event
A natural number greater than 1 that has no positive divisors other than 1 and itself
Every number
P(E) = number of favorable outcomes/total number of possible outcomes
Yes - like radicals can be added/subtracted.

7. a^0 =
(distance)/(rate) d/r
41 - 43 - 47
1
The two xes after factoring.

8. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
48
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
52
55%

9. What is an exterior angle?
An angle which is supplementary to an interior angle.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
The second graph is less steep.
12.5%

10. A number is divisible by 3 if ...
An is positive
The sum of its digits is divisible by 3.
V=side³
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.

11. x^6 / x^3
x^(6-3) = x^3
The set of input values for a function.
NOT A PRIME
4:5

12. 1/8 in percent?
= (actual decrease/Original amount) x 100%
X
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
12.5%

13. What is the common monomial factor in the expression 4(c^3)d - (c^2)(d^2) + 2cd?
Cd
441000 = 1 10 10 10 21 * 21
Every number
Ø=P(E)=1

14. Reduce: 4.8 : 0.8 : 1.6
A percent is a fraction whose denominator is 100.
A=pi*(r^2)
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
6 : 1 : 2

15. In a rectangle - all angles are
(distance)/(rate) d/r
3x - 4x - 5x
Right
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

16. A number is divisible by 4 is...
83.333%
Its last two digits are divisible by 4.
1
Do not have slopes!

17. What is the 'union' of A and B?
Edge³
75:11
(2x7)³
The set of elements which can be found in either A or B.

18. Solve the quadratic equation ax^2 + bx + c= 0
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
The objects within a set.
A grouping of the members within a set based on a shared characteristic.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

19. 7/8 in percent?
x²-y²
87.5%
ODD number
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)

20. What is the graph of f(x) shifted right c units or spaces?
441000 = 1 10 10 10 21 * 21
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
F(x-c)
61 - 67

21. Rate
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
D/t (distance)/(time)
2sqrt6
Pi is the ratio of a circle'S circumference to its diameter.

22. The only number that is equal to its opposite
Ø Ø=Ø
13
(a + b)^2
EVEN

23. Convert 0.7% to a fraction.
Move the decimal point to the right x places
360°
D=rt so r= d/t and t=d/r
7 / 1000

24. formula for distance problems
.0004809 X 10^11
Distance=rate×time or d=rt
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
The two xes after factoring.

25. What is the ratio of the sides of an isosceles right triangle?
1
6
1:1:sqrt2
441000 = 1 10 10 10 21 * 21

26. binomial product of (x-y)²
y2-y1/x2-x1
(x+y)(x-y)
53 - 59
1

27. The reciprocal of any non-zero #x is
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
1
F(x-c)
1/x

28. Define an 'expression'.
52
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)
1
V=Lwh

29. The Perimeter of a Square
P=4s (s=side)
F(x) + c
V=l×w×h
The set of input values for a function.

30. X is the opposite of
The point of intersection of the systems.
31 - 37
x²+2xy+y²
X

31. The product of any number x and its reciprocal
Ø
72
1
Null

32. A number is divisible by 6 if...
2
P(E) = 1/1 = 1
Its divisible by 2 and by 3.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

33. If a is inversely porportional to b - what does it equal?
Ab=k (k is a constant)
Pi(diameter)
Its last two digits are divisible by 4.
The shortest arc between points A and B on a circle'S diameter.

34. The reciprocal of any non-zero number is
1/x
x²-y²
1 & 37/132
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

35. Which is greater? 200x^295 or 10x^294?
Relationship cannot be determined (what if x is negative?)
(pi)r²
Ø Ø=Ø
F(x-c)

36. 25^(1/2) or sqrt. 25 =
5 OR -5
72
13
12.5%

37. Perimeter of a rectangle
3 - 4 - 5
P= 2L + 2w
No - only like radicals can be added.
4.25 - 6 - 22

38. What is the set of elements which can be found in either A or B?
12! / 5!7! = 792
Null
61 - 67
The union of A and B.

39. Formula to calculate arc length?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
90
Ø
y = 2x^2 - 3

40. Describe the relationship between the graphs of x^2 and (1/2)x^2
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.)
x^(4+7) = x^11
9 : 25
The second graph is less steep.

41. Whats the difference between factors and multiples?
Diameter(Pi)
Factors are few - multiples are many.
10
360/n

42. The product of odd number of negative numbers
Negative
x²-2xy+y²
... the square of the ratios of the corresponding sides.
Be Zero!

43. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
M
6
2^9 / 2 = 256
Right

44. An Angle that'S 180°
4096
2 & 3/7
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
Straight Angle

45. How to recognize if a # is a multiple of 12
Ø=P(E)=1
(n-2) x 180
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.)
10! / 3!(10-3)! = 120

46. Area of a rectangle
NOT A PRIME
A = length x width
0
The shortest arc between points A and B on a circle'S diameter.

47. When does a function automatically have a restricted domain (2)?
Positive
3
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
An angle which is supplementary to an interior angle.

48. 1 is the
Parallelogram
Smallest positive integer
A+c<b+c
x²+2xy+y²

49. In any polygon - all external angles equal up to
1/2 times 7/3
The steeper the slope.
360°
4.25 - 6 - 22

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?
28
441000 = 1 10 10 10 21 * 21
A reflection about the origin.
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.