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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. Consecutive integers
x - x+1 - x+2
zero
1
Even prime number

2. The larger the absolute value of the slope...
EVEN
(distance)/(rate) d/r
Distance=rate×time or d=rt
The steeper the slope.

3. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
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...
9 : 25
2 & 3/7
12sqrt2

4. Formula to calculate arc length?
360°
(b + c)
Arc length = (n/360) x pi(2r) where n is the number of degrees.
1:1:sqrt2

5. If a product of two numbers is Ø - one number must be
9 & 6/7
N! / (k!)(n-k)!
The sum of the digits is a multiple of 9.
Ø

6. What is a subset?
3
Yes - like radicals can be added/subtracted.
A reflection about the origin.
A grouping of the members within a set based on a shared characteristic.

7. Ø is a multiple of
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
62.5%
Two (Ø×2=Ø)
All numbers multiples of 1.

8. The consecutive angles in a parallelogram equal
Do not have slopes!
A = length x width
180°
A-b is negative

9. If a lamp decreases to $80 - from $100 - what is the decrease in price?
P(E) = number of favorable outcomes/total number of possible outcomes
0
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
N! / (k!)(n-k)!

10. Product of any number and Ø is
Ø
Its divisible by 2 and by 3.
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Yes - like radicals can be added/subtracted.

11. 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?
13pi / 2
Ø Ø=Ø
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
9 : 25

12. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
Its last two digits are divisible by 4.
360°
1
28. n = 8 - k = 2. n! / k!(n-k)!

13. Find the surface area of a cylinder with radius 3 and height 12.
90pi
zero
No - only like radicals can be added.
NOT A PRIME

14. What is an isoceles triangle?
M= (Y1-Y2)/(X1-X2)
Two equal sides and two equal angles.
2(pi)r
(base*height) / 2

15. What is a major arc?

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16. Distance
A+c<b+c
(rate)(time) d=rt
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
D=rt so r= d/t and t=d/r

17. The important properties of a 45-45-90 triangle?
The set of output values for a function.
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.
y/x is a constant
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

18. 30 60 90
180°
2(pi)r
y/x is a constant
3x - 4x - 5x

19. What are complementary angles?
6 : 1 : 2
The longest side is opposite the largest (biggest) angle. The shortest side is opposite the smallest angle. Sides with the same lengths are opposite angles with the same measure.
A central angle is an angle formed by 2 radii.
Two angles whose sum is 90.

20. If a is positive - an is
A 30-60-90 triangle.
x(x - y + 1)
A-b is positive
Positive

21. What is a percent?
4096
A percent is a fraction whose denominator is 100.
ODD number
(a + b)^2

22. If a<b - then
Ab+ac
A+c<b+c
90pi
x - x(SR3) - 2x

23. What is the set of elements found in both A and B?
Yes - like radicals can be added/subtracted.
The interesection of A and B.
Arc length = (n/360) x pi(2r) where n is the number of degrees.
ODD number

24. 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?
13
A natural number greater than 1 that has no positive divisors other than 1 and itself
10! / 3!(10-3)! = 120
1

25. What is the graph of f(x) shifted upward c units or spaces?
12.5%
The shortest arc between points A and B on a circle'S diameter.
F(x + c)
F(x) + c

26. How to determine percent decrease?
2sqrt6
V=side³
5 OR -5
(amount of decrease/original price) x 100%

27. 6w^2 - w - 15 = 0
3/2 - 5/3
The union of A and B.
A = pi(r^2)
Relationship cannot be determined (what if x is negative?)

28. the measure of a straight angle
31 - 37
A natural number greater than 1 that has no positive divisors other than 1 and itself
180°
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

29. Time
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.)
2sqrt6
(distance)/(rate) d/r
Its last two digits are divisible by 4.

30. Volume of a cube
13
Reciprocal
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Edge³

31. What is a minor arc?

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32. How many 3-digit positive integers are even and do not contain the digit 4?
4a^2(b)
288 (8 9 4)
9
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

33. How many multiples does a given number have?
1/x
A tangent is a line that only touches one point on the circumference of a circle.
360°
Infinite.

34. binomial product of (x+y)(x-y)
Two angles whose sum is 90.
x²-y²
1
x^(4+7) = x^11

35. (x-y)(x+y)
20.5
The set of input values for a function.
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
x²-y²

36. If an inequality is multiplied or divided by a negative number....
72
3 - 4 - 5
Do not have slopes!
The direction of the inequality is reversed.

37. How to recognize a # as a multiple of 4
P=2(l+w)
Undefined
4.25 - 6 - 22
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.)

38. (12sqrt15) / (2sqrt5) =
10! / 3!(10-3)! = 120
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
The direction of the inequality is reversed.
Sum of digits is a multiple of 3 and the last digit is even.

39. What is the name of set with a number of elements which cannot be counted?
Ø
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)
An infinite set.
The union of A and B.

40. a(b-c)
The empty set - denoted by a circle with a diagonal through it.
70
Ab-ac
(a + b)^2

41. 60 < all primes <70
F(x) - c
1
(pi)r²
61 - 67

42. What is the graph of f(x) shifted right c units or spaces?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
F(x-c)
N! / (n-k)!
An angle which is supplementary to an interior angle.

43. What is the area of a regular hexagon with side 6?
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A chord is a line segment joining two points on a circle.
A²+b²=c²
12! / 5!7! = 792

44. a^2 - 2ab + b^2
All numbers multiples of 1.
72
The longest arc between points A and B on a circle'S diameter.
(a - b)^2

45. When does a function automatically have a restricted domain (2)?
$11 -448
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
F(x) + c

46. Reduce: 4.8 : 0.8 : 1.6
y/x is a constant
6 : 1 : 2
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
A reflection about the origin.

47. Slope given 2 points
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
M= (Y1-Y2)/(X1-X2)
Negative
3 - -3

48. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
288 (8 9 4)
72
13pi / 2

49. What is a chord of a circle?
10! / (10-3)! = 720
Members or elements
A chord is a line segment joining two points on a circle.
8

50. x^2 = 9. What is the value of x?
3 - -3
6 : 1 : 2
C=2 x pi x r OR pi x D
3 - 4 - 5