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GRE Math: All In One

Subjects : gre, math

Instructions:

Answer 50 questions in 15 minutes.
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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. Ø is a multiple of
Every number
EVEN
Null
90°

2. Simplify 9^(1/2) X 4^3 X 2^(-6)?
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
3
A grouping of the members within a set based on a shared characteristic.
A tangent is a line that only touches one point on the circumference of a circle.

3. Factor a^2 + 2ab + b^2
All numbers multiples of 1.
Add them. i.e. (5^7) * (5^3) = 5^10
(a + b)^2
True

4. Product of any number and Ø is
2sqrt6
Arc length = (n/360) x pi(2r) where n is the number of degrees.
Ø
Negative

5. The product of odd number of negative numbers
y = 2x^2 - 3
Negative
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
4:5

6. a^2 - b^2 =
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
(a - b)(a + b)
Ø
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

7. What is the intersection of A and B?
A grouping of the members within a set based on a shared characteristic.
The set of elements found in both A and B.
y/x is a constant
Infinite.

8. Pythagorean theorem
an angle that is less than 90°
11 - 13 - 17 - 19
A²+b²=c²
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

9. Obtuse Angle
5 - 12 - 13
The interesection of A and B.
(pi)r²
angle that is greater than 90° but less than 180°

10. The reciprocal of any non-zero #x is
Ø
1/x
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)
D=rt so r= d/t and t=d/r

11. What is a chord of a circle?
Sum of digits is a multiple of 3 and the last digit is even.
A chord is a line segment joining two points on a circle.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
90

12. 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)]?
Right
A=(base)(height)
Relationship cannot be determined (what if x is negative?)
True

13. What is the coefficient of the x^2 term in the product of (x + 1)(x + 2)(x -1)?
3x - 4x - 5x
2
Two (Ø×2=Ø)
A = pi(r^2)

14. The Perimeter of a rectangle
1/2 times 7/3
P=2(l+w)
The longest arc between points A and B on a circle'S diameter.
(length)(width)(height)

15. Legs 6 - 8. Hypotenuse?
The set of output values for a function.
P(E) = ø
The steeper the slope.
10

16. 1/8 in percent?
12.5%
x²-2xy+y²
The second graph is less steep.
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.

17. Ø²
Ø
x^(6-3) = x^3
(n-2) x 180
The set of elements found in both A and B.

18. 1/6 in percent?
Can be negative - zero - or positive
13
The set of elements which can be found in either A or B.
16.6666%

19. 1/Ø=null If a>b then
The sum of digits is divisible by 9.
55%
A<-b
C = (pi)d

20. What is the surface area of a cylinder with radius 5 and height 8?
Null
9 & 6/7
130pi
31 - 37

21. the measure of a straight angle
180°
(distance)/(rate) d/r
Can be negative - zero - or positive
1

22. Slope of any line that goes down as you move from left to right is
28
Smallest positive integer
Negative
A=(base)(height)

23. Formula for the area of a circle?
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
An is positive
The second graph is less steep.
A = pi(r^2)

24. The Denominator can never
Be Zero!
1:1:sqrt2
P= 2L + 2w
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

25. The only number that is equal to its opposite
x^(2(4)) =x^8 = (x^4)^2
Ø Ø=Ø
2sqrt6
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

26. What is the 'Range' of a function?
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The empty set - denoted by a circle with a diagonal through it.
90°
The set of output values for a function.

27. 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?
The interesection of A and B.
500
Yes - like radicals can be added/subtracted.
5 - 12 - 13

28. (2²)³
26
2^9 / 2 = 256
The steeper the slope.
Sector area = (n/360) X (pi)r^2

29. The reciprocal of any non-zero number is
5 - 12 - 13
1/x
The set of elements found in both A and B.
441000 = 1 10 10 10 21 * 21

30. Ø is
4096
55%
B?b?b (where b is used as a factor n times)
Even

31. 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?
(x+y)(x+y)
1 - P(E)
360°
441000 = 1 10 10 10 21 * 21

32. What is a finite set?
Indeterminable.
A set with a number of elements which can be counted.
0
500

33. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
71 - 73 - 79
(2x7)³
A reflection about the origin.
The sum of the digits is a multiple of 9.

34. 5x^2 - 35x -55 = 0
The set of output values for a function.
A+c<b+c
A= (1/2) b*h
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

35. 40 < all primes<50
41 - 43 - 47
$3 -500 in the 9% and $2 -500 in the 7%.
37.5%
The set of elements found in both A and B.

36. What are the irrational numbers?

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37. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
Sum of digits is a multiple of 3 and the last digit is even.
4725
90°
Positive

38. In similar hexagons - the ratio of the areas is 16:25. What is the ratio of their corresponding sides?
4:5
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
28. n = 8 - k = 2. n! / k!(n-k)!

39. Perfect Squares 1-15
Straight Angle
18
A set with a number of elements which can be counted.
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

40. What is the graph of f(x) shifted downward c units or spaces?
F(x) - c
180 degrees
288 (8 9 4)
1/x

41. Ø Is neither
16.6666%
Lies opposite the greater angle
Sector area = (n/360) X (pi)r^2
Positive or Negative

42. When dividing exponential #s with the same base - you do this to the exponents...
Subtract them. i.e (5^7)/(5^3)= 5^4
The objects within a set.
1
Every number

43. 3/8 in percent?
D/t (distance)/(time)
72
37.5%
(base*height) / 2

44. Define a 'monomial'
An expression with just one term (-6x - 2a^2)
Negative
A 30-60-90 triangle.
Distance=rate×time or d=rt

45. The product of any number x and its reciprocal
Yes - like radicals can be added/subtracted.
3
3/2 - 5/3
1

46. What is the empty set?
Even prime number
1
A set with no members - denoted by a circle with a diagonal through it.
M

47. Describe the relationship between 3x^2 and 3(x - 1)^2
A set with no members - denoted by a circle with a diagonal through it.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
V=l×w×h
Even

48. For any number x
The set of output values for a function.
F(x) + c
Can be negative - zero - or positive
.0004809 X 10^11

49. What is the maximum value for the function g(x) = (-2x^2) -1?
Infinite.
A+c<b+c
1
2

50. An Angle that'S 180°
Straight Angle
y = (x + 5)/2
An infinite set.
A reflection about the origin.

Can you answer 50 questions in 15 minutes?

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GRE Math: All In One

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