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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. A number is divisible by 3 if ...
The two xes after factoring.
The sum of its digits is divisible by 3.
Ø
288 (8 9 4)

2. Positive integers that have exactly 2 positive divisors are
1/x
360/n
(rate)(time) d=rt
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

3. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
9
All numbers multiples of 1.
4725
2 & 3/7

4. What is the intersection of A and B?
An isosceles right triangle.
The direction of the inequality is reversed.
The set of elements found in both A and B.
70

5. a/Ø
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
2.592 kg
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
Null

6. Rate
71 - 73 - 79
83.333%
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
D/t (distance)/(time)

7. When dividing exponential #s with the same base - you do this to the exponents...
EVEN
Subtract them. i.e (5^7)/(5^3)= 5^4
$11 -448
2sqrt6

8. Factor x^2 - xy + x.
x(x - y + 1)
The set of input values for a function.
A reflection about the origin.
4:5

9. a^2 + 2ab + b^2
An is positive
(a + b)^2
A=½bh
500

10. A number is divisible by 9 if...
90°
The sum of digits is divisible by 9.
71 - 73 - 79
x²-y²

11. Formula for the area of a sector of a circle?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Sector area = (n/360) X (pi)r^2
Factors are few - multiples are many.
The empty set - denoted by a circle with a diagonal through it.

12. Formula to calculate arc length?
Ø=P(E)=1
$11 -448
Ø
Arc length = (n/360) x pi(2r) where n is the number of degrees.

13. What is the sum of the angles of a triangle?
The sum of its digits is divisible by 3.
Two angles whose sum is 90.
180 degrees
y = 2x^2 - 3

14. Legs: 3 - 4. Hypotenuse?
1 - P(E)
5
Ø Ø=Ø
2 & 3/7

15. The larger the absolute value of the slope...
The steeper the slope.
y/x is a constant
A tangent is a line that only touches one point on the circumference of a circle.
5 - 12 - 13

16. Can you simplify sqrt72?
A 30-60-90 triangle.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
360/n
Positive or Negative

17. One is (a prime or not?)
The second graph is less steep.
A 30-60-90 triangle.
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.
NOT A PRIME

18. What is the side length of an equilateral triangle with altitude 6?
180°
67 - 71 - 73
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
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...

19. An Angle that'S 180°
9
Straight Angle
288 (8 9 4)
All numbers multiples of 1.

20. Probability of E not occurring:
1 - P(E)
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.)
11 - 13 - 17 - 19
1

21. What is the graph of f(x) shifted right c units or spaces?
F(x-c)
Indeterminable.
31 - 37
48

22. What are the rational numbers?
Even
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
An infinite set.
1 - P(E)

23. Slope given 2 points
Smallest positive integer
x - x+1 - x+2
M= (Y1-Y2)/(X1-X2)
6 : 1 : 2

24. How to find the circumference of a circle which circumscribes a square?
x^(4+7) = x^11
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).
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)
Indeterminable.

25. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
53 - 59
x²-2xy+y²
360°

26. What is a chord of a circle?
The objects within a set.
$11 -448
A chord is a line segment joining two points on a circle.
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

27. 1/6 in percent?
Straight Angle
3/2 - 5/3
A set with no members - denoted by a circle with a diagonal through it.
16.6666%

28. (a^-1)/a^5
Two angles whose sum is 180.
1/a^6
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
1:sqrt3:2

29. In a Regular Polygon - the measure of each exterior angle
Arc length = (n/360) x pi(2r) where n is the number of degrees.
(amount of decrease/original price) x 100%
360/n
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)

30. P and r are factors of 100. What is greater - pr or 100?
Indeterminable.
(amount of decrease/original price) x 100%
Even
x^(4+7) = x^11

31. (x-y)(x+y)
A central angle is an angle formed by 2 radii.
Ab=k (k is a constant)
x²-y²
A natural number greater than 1 that has no positive divisors other than 1 and itself

32. a(b+c)
180
75:11
Ab+ac
Circumference = Diameter(pi). Use pythagorean theorem to find the diagonal of the square (the diameter).

33. For any number x
Undefined
(b + c)
Can be negative - zero - or positive
No - only like radicals can be added.

34. -3²
9
(a - b)(a + b)
(a + b)^2
180°

35. Acute Angle
Members or elements
3
Ab-ac
an angle that is less than 90°

36. 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?
1 & 37/132
Ø
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
1/x

37. What is an arc of a circle?
1
An arc is a portion of a circumference of a circle.
Even prime number
Its divisible by 2 and by 3.

38. x^2 = 9. What is the value of x?
3 - -3
An is positive
The overlapping sections.
The two xes after factoring.

39. Suppose that the graph of f(x) is the result of sliding the graph of y=2x^2 down 3 units of spaces. What is the new equation?
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
Null
y = 2x^2 - 3
61 - 67

40. If a lamp increases from $80 to $100 - what is the percent increase?
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
an angle that is less than 90°
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Parallelogram

41. Dividing by a number is the same as multiplying it by its
41 - 43 - 47
Ab=k (k is a constant)
Reciprocal
12.5%

42. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
37.5%
2 & 3/7
The sum of the digits is a multiple of 9.

43. 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?
Arc length = (n/360) x pi(2r) where n is the number of degrees.
y/x is a constant
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
10! / (10-3)! = 720

44. What is the 'domain' of a function?
10! / (10-3)! = 720
8
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The set of input values for a function.

45. What is the 'Range' of a function?
3 - 4 - 5
The set of output values for a function.
Add them. i.e. (5^7) * (5^3) = 5^10
Can be negative - zero - or positive

46. What is the surface area of a cylinder with radius 5 and height 8?
(length)(width)(height)
2sqrt6
130pi
83.333%

47. What are the smallest three prime numbers greater than 65?
180°
90°
67 - 71 - 73
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.)

48. Important properties of a 30-60-90 triangle?
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
An infinite set.
Yes - like radicals can be added/subtracted.
Undefined - because we can'T divide by 0.

49. Probability of Event all cases
Ø=P(E)=1
The union of A and B.
ODD number
441000 = 1 10 10 10 21 * 21

50. 10^6 has how many zeroes?
x²-y²
6
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.)
3

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GRE Math: All In One

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