Test your basic knowledge |

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. What is an isoceles triangle?
90pi
Two equal sides and two equal angles.
y = 2x^2 - 3
Right

2. 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?
A<-b
Negative
A natural number greater than 1 that has no positive divisors other than 1 and itself
500

3. (2²)³
26
1
= (actual decrease/Original amount) x 100%
2²

4. Simplify (a^2 + b)^2 - (a^2 - b)^2
(base*height) / 2
x²-2xy+y²
4a^2(b)
Ø

5. Area of a Parallelogram:
A=(base)(height)
Parallelogram
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
D/t (distance)/(time)

6. What is a tangent?
The two xes after factoring.
A tangent is a line that only touches one point on the circumference of a circle.
4:5
72

7. The only number that is equal to its opposite
x²-y²
An infinite set.
D/t (distance)/(time)
Ø Ø=Ø

8. 30 60 90
N! / (n-k)!
Two (Ø×2=Ø)
D=rt so r= d/t and t=d/r
x - x(SR3) - 2x

9. What percent of 40 is 22?
The interesection of A and B.
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
x²+2xy+y²
55%

10. Slope of any line that goes up from left to right
P(E) = ø
10! / 3!(10-3)! = 120
Positive
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

11. The reciprocal of any non-zero number is
1/x
Ø Ø=Ø
3
The set of output values for a function.

12. 5/6 in percent?
Subtract them. i.e (5^7)/(5^3)= 5^4
x²-y²
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)
83.333%

13. One is (a prime or not?)
The empty set - denoted by a circle with a diagonal through it.
NOT A PRIME
288 (8 9 4)
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)

14. What is the area of a regular hexagon with side 6?
13pi / 2
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A=½bh
An isosceles right triangle.

15. Define a 'monomial'
Two angles whose sum is 180.
Edge³
8
An expression with just one term (-6x - 2a^2)

16. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
360°
x^(2(4)) =x^8 = (x^4)^2
Arc length = (n/360) x pi(2r) where n is the number of degrees.
A 30-60-90 triangle.

17. b¹
1
130pi
28
3 - -3

18. (x+y)²
EVEN
13pi / 2
An infinite set.
x²+2xy+y²

19. What is the intersection of A and B?
Null
A-b is positive
The set of elements found in both A and B.
Ab+ac

20. Important properties of a 30-60-90 triangle?
F(x + c)
P(E) = number of favorable outcomes/total number of possible outcomes
The sum of digits is divisible by 9.
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

21. What number between 70 & 75 - inclusive - has the greatest number of factors?
Positive or Negative
P(E) = ø
5 OR -5
72

22. In a rectangle - all angles are
Right
V=side³
Negative
(amount of decrease/original price) x 100%

23. Ø is
F(x) - c
zero
Smallest positive integer
Even

24. x^2 = 9. What is the value of x?
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
20.5
3 - -3
(distance)/(rate) d/r

25. (12sqrt15) / (2sqrt5) =
2^9 / 2 = 256
Ø Ø=Ø
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
Negative

26. Slope
A= (1/2) b*h
y2-y1/x2-x1
75:11
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.

27. Positive integers that have exactly 2 positive divisors are
(a + b)^2
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Add them. i.e. (5^7) * (5^3) = 5^10

28. If an inequality is multiplied or divided by a negative number....
2²
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
The direction of the inequality is reversed.
ODD number

29. How to recognize a # as a multiple of 4
(x+y)(x+y)
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15
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-y²

30. If 8 schools are in a conference - how many games are played if each team plays each other exactly once?
180°
26
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
28. n = 8 - k = 2. n! / k!(n-k)!

31. What is the 'Range' of a function?
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.)
1/a^6
The set of output values for a function.
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

32. What are the roots of the quadrinomial x^2 + 2x + 1?
The two xes after factoring.
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)
Ø
Ø

33. If Madagascar'S exports totaled 1.3 billion in 2009 - and 4% came from China - what was the value in millions of the country'S exports to China?
No - only like radicals can be added.
x²-y²
The sum of the digits is a multiple of 9.
52

34. 4.809 X 10^7 =
x - x+1 - x+2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
12.5%
.0004809 X 10^11

35. 50 < all primes< 60
53 - 59
A-b is positive
Add them. i.e. (5^7) * (5^3) = 5^10
Pi(diameter)

36. the slope of a line in y=mx+b
27
1/2 times 7/3
M
The two xes after factoring.

37. The objects in a set are called two names:
1
The set of output values for a function.
Members or elements
Straight Angle

38. 25/2³
3
2²
10! / (10-3)! = 720
F(x + c)

39. Circumference of a circle?
Diameter(Pi)
Undefined - because we can'T divide by 0.
70
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60

40. 8.84 / 5.2
(amount of decrease/original price) x 100%
Smallest positive integer
The set of elements found in both A and B.
1.7

41. Dividing by a number is the same as multiplying it by its
x - x+1 - x+2
Reciprocal
3x - 4x - 5x
Two angles whose sum is 90.

42. Acute Angle
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
an angle that is less than 90°
Infinite.
Reciprocal

43. 25^(1/2) or sqrt. 25 =
360/n
5 OR -5
A=(base)(height)
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29

44. Legs 5 - 12. Hypotenuse?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
13
27^(-4)
23 - 29

45. 1 is the
90
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)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Smallest positive integer

46. x^6 / x^3
x^(6-3) = x^3
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.)
Infinite.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

47. 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)]?
True
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
EVEN
A central angle is an angle formed by 2 radii.

48. Which is greater? 27^(-4) or 9^(-8)
180°
The overlapping sections.
The set of input values for a function.
27^(-4)

49. factored binomial product of (x+y)²
A=(base)(height)
Ø
A+c<b+c
x²+2xy+y²

50. How to recognize if a # is a multiple of 12
55%
4a^2(b)
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.)
13