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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. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
52
x - x+1 - x+2
Pi is the ratio of a circle'S circumference to its diameter.

2. 1/2 divided by 3/7 is the same as
(distance)/(rate) d/r
1/2 times 7/3
An expression with just one term (-6x - 2a^2)
Positive or Negative

3. a^2 + 2ab + b^2
9 : 25
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a
(a + b)^2
Subtract them. i.e (5^7)/(5^3)= 5^4

4. If a is positive - an is
Its last two digits are divisible by 4.
A²+b²=c²
A=½bh
Positive

5. Define a 'monomial'
3 - -3
x^(6-3) = x^3
An expression with just one term (-6x - 2a^2)
Edge³

6. If a lamp decreases to $80 - from $100 - what is the decrease in price?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
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.)
Even prime number

7. 20<all primes<30
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
53 - 59
16.6666%
23 - 29

8. 30< all primes<40
1/x
P=4s (s=side)
67 - 71 - 73
31 - 37

9. Circumference of a circle
67 - 71 - 73
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.
Pi(diameter)
(n-2) x 180

10. If the two sides of a triangle are unequal then the longer side.................
The objects within a set.
Lies opposite the greater angle
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.)
x²-2xy+y²

11. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
F(x) + c
5
$11 -448

12. Ø is
(b + c)
Even
A = length x width
Positive

13. What is a central angle?
3x - 4x - 5x
Null
= (actual decrease/Original amount) x 100%
A central angle is an angle formed by 2 radii.

14. Ø is a multiple of
A grouping of the members within a set based on a shared characteristic.
$11 -448
An infinite set.
Every number

15. 30 60 90
(rate)(time) d=rt
An angle which is supplementary to an interior angle.
5 - 12 - 13
The objects within a set.

16. The perimeter of a square is 48 inches. The length of its diagonal is:
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
A<-b
12sqrt2
A reflection about the axis.

17. Which is greater? 64^5 or 16^8
31 - 37
(a - b)(a + b)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Edge³

18. 40 < all primes<50
5 OR -5
41 - 43 - 47
The set of elements found in both A and B.
1/x

19. If an inequality is multiplied or divided by a negative number....
x - x(SR3) - 2x
A= (1/2) b*h
A central angle is an angle formed by 2 radii.
The direction of the inequality is reversed.

20. There are 10 finalists for the school spelling bee. A first - second - and third place trophy will be awarded. How many different people can get the three prizes?
10! / 3!(10-3)! = 120
X
x - x+1 - x+2
... the square of the ratios of the corresponding sides.

21. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
2
6
0
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

22. For any number x
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Null
Its last two digits are divisible by 4.
Can be negative - zero - or positive

23. 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
an angle that is less than 90°
N! / (n-k)!
4096

24. If a<b - then
72
A+c<b+c
x²-2xy+y²
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

25. 7/8 in percent?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
18
72
87.5%

26. The negative exponent x?n is equivalent to what?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
1/x
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
1/x

27. Volume of a rectangular solid
5
(length)(width)(height)
18
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

28. Can you subtract 3sqrt4 from sqrt4?
Null
(rate)(time) d=rt
Two equal sides and two equal angles.
Yes - like radicals can be added/subtracted.

29. What is the maximum value for the function g(x) = (-2x^2) -1?
The set of elements found in both A and B.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
1
A=½bh

30. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
Two angles whose sum is 180.
13pi / 2
48
0

31. What are 'Supplementary angles?'
Two angles whose sum is 180.
A percent is a fraction whose denominator is 100.
1/2 times 7/3
P= 2L + 2w

32. Area of a triangle?
(base*height) / 2
4096
3
The shortest arc between points A and B on a circle'S diameter.

33. a<b then a - b is positive or negative?
A-b is negative
= (actual decrease/Original amount) x 100%
x²-2xy+y²
2(pi)r

34. Slope of any line that goes up from left to right
$11 -448
Distance=rate×time or d=rt
Positive
288 (8 9 4)

35. The Denominator can never
Be Zero!
P= 2L + 2w
The sum of digits is divisible by 9.
Do not have slopes!

36. The only number that is equal to its opposite
Even prime number
2
Ø Ø=Ø
(12/2) x (sqrt15 / sqrt5) = 6sqrt3

37. What is the graph of f(x) shifted right c units or spaces?
An is positive
F(x-c)
Smallest positive integer
2.592 kg

38. Area of a rectangle
A = length x width
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
The two xes after factoring.

39. One is (a prime or not?)
1
12sqrt2
9 : 25
NOT A PRIME

40. a>b then a - b is positive or negative?
A-b is positive
A = length x width
The longest arc between points A and B on a circle'S diameter.
1/2 times 7/3

41. 50 < all primes< 60
53 - 59
10
2.592 kg
(2x7)³

42. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
52
$3 -500 in the 9% and $2 -500 in the 7%.
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...

43. 8.84 / 5.2
A term is a numerical constant or the product (or quotient) of a numerical constant and one or more variables. (3x - 4x^2 and 2a/c)
3
1.7
180

44. Ø is a multiple of
Can be negative - zero - or positive
Two (Ø×2=Ø)
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)
Positive

45. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
8
Negative
Arc length = (n/360) x pi(2r) where n is the number of degrees.
The interesection of A and B.

46. Area of a circle
(pi)r²
The set of elements which can be found in either A or B.
C = (pi)d
P= 2L + 2w

47. 1/8 in percent?
12.5%
.0004809 X 10^11
The empty set - denoted by a circle with a diagonal through it.
x^(4+7) = x^11

48. What is a major arc?

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49. Convert 0.7% to a fraction.
9 : 25
12.5%
7 / 1000
N! / (n-k)!

50. What is the ratio of the sides of an isosceles right triangle?
The greatest value minus the smallest.
An isosceles right triangle.
1:1:sqrt2
The sum of digits is divisible by 9.