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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. 25^(1/2) or sqrt. 25 =
5 OR -5
52
y2-y1/x2-x1
13

2. 30 60 90
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
3 - 4 - 5
11 - 13 - 17 - 19
Distance=rate×time or d=rt

3. 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%.
Relationship cannot be determined (what if x is negative?)
Ø
8

4. What is the surface area of a cylinder with radius 5 and height 8?
52
130pi
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)
360°

5. What is an isoceles triangle?
Positive
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
Two equal sides and two equal angles.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

6. The sum of the angles in a quadrilateral is
360°
EVEN
The sum of digits is divisible by 9.
x²+2xy+y²

7. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
Its divisible by 2 and by 3.
4:5
F(x) + c
9 : 25

8. 40 < all primes<50
72
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)
41 - 43 - 47
27^(-4)

9. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
x²-2xy+y²
Two angles whose sum is 180.
72

10. What are 'Supplementary angles?'
2 & 3/7
Two angles whose sum is 180.
360°
70

11. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
An infinite set.
1/a^6
(base*height) / 2

12. (x-y)(x+y)
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
(a - b)(a + b)
x²-y²
12sqrt2

13. a>b then a - b is positive or negative?
A-b is positive
3 - -3
P(E) = ø
Parallelogram

14. a<b then a - b is positive or negative?
(a + b)^2
A-b is negative
x²-y²
(pi)r²

15. x^2 = 9. What is the value of x?
Positive
9 : 25
3 - -3
Infinite.

16. -3³
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.
1 - P(E)
27
x^(6-3) = x^3

17. Consecutive integers
A 30-60-90 triangle.
x - x+1 - x+2
1/a^6
A set with no members - denoted by a circle with a diagonal through it.

18. What is a major arc?

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19. What is a tangent?
180°
F(x + c)
9 : 25
A tangent is a line that only touches one point on the circumference of a circle.

20. bn
500
Even prime number
B?b?b (where b is used as a factor n times)
(b + c)

21. 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?
2^9 / 2 = 256
500
1 - P(E)
y2-y1/x2-x1

22. What is the set of elements found in both A and B?
The interesection of A and B.
2.592 kg
The direction of the inequality is reversed.
M= (Y1-Y2)/(X1-X2)

23. 70 < all primes< 80
27^(-4)
1 - P(E)
71 - 73 - 79
Do not have slopes!

24. What is a percent?
A grouping of the members within a set based on a shared characteristic.
A percent is a fraction whose denominator is 100.
11 - 13 - 17 - 19
288 (8 9 4)

25. Suppose you have a set of n objects - and you want to select k of them - but the order doesn'T matter. What formula do you use to determine the number of combinations of n objects taken k at a time?
Cd
N! / (k!)(n-k)!
D/t (distance)/(time)
Smallest positive integer

26. Factor x^2 - xy + x.
All numbers multiples of 1.
P=2(l+w)
x(x - y + 1)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

27. In a Rectangle - each angles measures
90°
55%
12.5%
130pi

28. 1 is the
2sqrt6
10! / (10-3)! = 720
62.5%
Smallest positive integer

29. What is the graph of f(x) shifted downward 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
F(x) - c
67 - 71 - 73
x²-2xy+y²

30. Circumference of a Circle
0
C=2 x pi x r OR pi x D
2.592 kg
13pi / 2

31. If a product of two numbers is Ø - one number must be
Ø
1
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
3 - 4 - 5

32. Nine coins are tossed simultaneously. In how many of the outcomes will the fourth coin tossed show heads?
87.5%
2^9 / 2 = 256
A<-b
2.592 kg

33. If a<b - then
A subset.
A+c<b+c
P=2(l+w)
55%

34. Slope
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
y2-y1/x2-x1
Factors are few - multiples are many.
y/x is a constant

35. Dividing by a number is the same as multiplying it by its
360°
True
Reciprocal
A=(base)(height)

36. 5x^2 - 35x -55 = 0
360°
67 - 71 - 73
The overlapping sections.
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

37. 50 < all primes< 60
53 - 59
y = (x + 5)/2
55%
P= 2L + 2w

38. The sum of the measures of the n angles in a polygon with n sides
1
1
(n-2) x 180
Smallest positive integer

39. What is the side length of an equilateral triangle with altitude 6?
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...
Infinite.
28. n = 8 - k = 2. n! / k!(n-k)!
D=rt so r= d/t and t=d/r

40. The product of odd number of negative numbers
x^(2(4)) =x^8 = (x^4)^2
The steeper the slope.
Negative
Be Zero!

41. The reciprocal of any non-zero number is
C = (pi)d
72
1/x
83.333%

42. If a lamp increases from $80 to $100 - what is the percent increase?
Edge³
(a - b)(a + b)
x²-y²
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

43. A prime number (or a prime)
3 - -3
A natural number greater than 1 that has no positive divisors other than 1 and itself
x²-2xy+y²
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.)

44. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
The longest arc between points A and B on a circle'S diameter.
(pi)r²
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
$11 -448

45. Factor a^2 + 2ab + b^2
A= (1/2) b*h
An isosceles right triangle.
Even
(a + b)^2

46. What are complementary angles?
Two angles whose sum is 90.
23 - 29
A²+b²=c²
D=rt so r= d/t and t=d/r

47. A number is divisible by 4 is...
11 - 13 - 17 - 19
5 OR -5
Its last two digits are divisible by 4.
Lies opposite the greater angle

48. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
x²+2xy+y²
1
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
2.592 kg

49. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
= (actual decrease/Original amount) x 100%
x²-2xy+y²
A 30-60-90 triangle.
A=(base)(height)

50. Evaluate (4^3)^2
4096
0
A tangent is a line that only touches one point on the circumference of a circle.
ODD number