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. Rate
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...
D/t (distance)/(time)
Pi is the ratio of a circle'S circumference to its diameter.

2. Can you simplify sqrt72?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
27
(a + b)^2
1

3. If E is certain
P=4s (s=side)
Cd
P(E) = 1/1 = 1
x²-2xy+y²

4. X is the opposite of
Indeterminable.
X
Its divisible by 2 and by 3.
0

5. How to recognize a multiple of 6
6 : 1 : 2
Sum of digits is a multiple of 3 and the last digit is even.
The greatest value minus the smallest.
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)

6. (12sqrt15) / (2sqrt5) =
(x+y)(x+y)
Sector area = (n/360) X (pi)r^2
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
9

7. One is (a prime or not?)
500
1/a^6
NOT A PRIME
An infinite set.

8. For what values should the domain be restricted for the function f(x) = sqrt(x + 8)
360°
8
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.)
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. Circumference of a Circle
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.
2²
y = 2x^2 - 3
C=2 x pi x r OR pi x D

10. What is the 'Range' of a series of numbers?
x - x(SR3) - 2x
360°
The greatest value minus the smallest.
The direction of the inequality is reversed.

11. Which is greater? 27^(-4) or 9^(-8)
27^(-4)
(amount of decrease/original price) x 100%
Its divisible by 2 and by 3.
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.

12. 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...
0
y = (x + 5)/2
Be Zero!

13. x^2 = 9. What is the value of x?
A subset.
3 - -3
4:5
The sum of digits is divisible by 9.

14. Pi is a ratio of what to what?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

15. Employee X is paid 19.50 per hour no matter how many a week. Employee Y earns 18 for the first 40 and 1.5 the hourly wage for every hour after that. If both earned the same amount and worked the same in one week - how many did each work?
12.5%
x(x - y + 1)
48
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

16. The objects in a set are called two names:
A grouping of the members within a set based on a shared characteristic.
The point of intersection of the systems.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
Members or elements

17. 1 is an
zero
ODD number
72
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.

18. 4.809 X 10^7 =
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
.0004809 X 10^11
6

19. a(b-c)
1.0843 X 10^11
90pi
Relationship cannot be determined (what if x is negative?)
Ab-ac

20. a(b+c)
Undefined - because we can'T divide by 0.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
10
Ab+ac

21. Slope of any line that goes up from left to right
A tangent is a line that only touches one point on the circumference of a circle.
Positive
NOT A PRIME
A=(base)(height)

22. Factor a^2 + 2ab + b^2
The empty set - denoted by a circle with a diagonal through it.
Smallest positive integer
(a + b)^2
= (actual decrease/Original amount) x100% = 20/100x100% = 20%

23. What is a chord of a circle?
62.5%
Its last two digits are divisible by 4.
A reflection about the axis.
A chord is a line segment joining two points on a circle.

24. To decrease a number by x%
Edge³
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
(length)(width)(height)
2.592 kg

25. Define an 'expression'.
(x+y)(x-y)
A²+b²=c²
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)
2.592 kg

26. How to recognize a # as a multiple of 4
Even
P(E) = 1/1 = 1
A reflection about the origin.
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.)

27. The larger the absolute value of the slope...
The steeper the slope.
F(x + c)
All real numbers which can'T be expressed as a ratio of two integers - positive and negative (pi - -sqrt3)
4.25 - 6 - 22

28. 3/8 in percent?
2sqrt6
288 (8 9 4)
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.
37.5%

29. -3³
27^(-4)
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
27
A natural number greater than 1 that has no positive divisors other than 1 and itself

30. Probability of Event all cases
Ø=P(E)=1
An arc is a portion of a circumference of a circle.
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...
An angle which is supplementary to an interior angle.

31. What is the measure of an exterior angle of a regular pentagon?
Yes - like radicals can be added/subtracted.
72
(a + b)^2
Ab-ac

32. The only number that is equal to its opposite
Ø Ø=Ø
Negative
Positive or Negative
4a^2(b)

33. What is the 'Solution' for a system of linear equations?
The point of intersection of the systems.
(base*height) / 2
x²-y²
9 : 25

34. (x-y)(x+y)
(base*height) / 2
x²-y²
441000 = 1 10 10 10 21 * 21
10! / (10-3)! = 720

35. Pythagorean theorem
7 / 1000
A²+b²=c²
A percent is a fraction whose denominator is 100.
10! / (10-3)! = 720

36. Suppose that the graph of f(x) is the result of stretching y=x + 5 away from the x-axis by a factor of 2. What is the new equation for the graph f(x)?
y = (x + 5)/2
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]
Every number
Yes - like radicals can be added/subtracted.

37. a>b then a - b is positive or negative?
A-b is positive
P(E) = 1/1 = 1
Ø
The empty set - denoted by a circle with a diagonal through it.

38. 5x^2 - 35x -55 = 0
62.5%
The longest arc between points A and B on a circle'S diameter.
1
[(7+ sqrt93) /2] - [(7 - sqrt93) / 2]

39. Define a 'monomial'
$11 -448
angle that is greater than 90° but less than 180°
180 degrees
An expression with just one term (-6x - 2a^2)

40. Find the surface area of a cylinder with radius 3 and height 12.
90pi
B?b?b (where b is used as a factor n times)
Edge³
F(x) - c

41. 1n
4725
1
(a - b)^2
180°

42. Ø divided by 7
Ø
1
1
1 & 37/132

43. Product of any number and Ø is
Ø
Every number
Undefined - because we can'T divide by 0.
y = 2x^2 - 3

44. 1 is a divisor of
(b + c)
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.
C=2 x pi x r OR pi x D
Every number

45. What are the irrational numbers?

Warning: Invalid argument supplied for foreach() in /var/www/html/basicversity.com/show_quiz.php on line 183

46. Dividing by a number is the same as multiplying it by its
V=Lwh
1/x
360°
Reciprocal

47. Formula to find a circle'S circumference from its diameter?
1:1:sqrt2
C = (pi)d
1
Arc length = (n/360) x pi(2r) where n is the number of degrees.

48. binomial product of (x+y)²
(x+y)(x+y)
61 - 67
x^(6-3) = x^3
The sum of the digits is a multiple of 3 (i.e. 45 ... 4 + 5 = 9 so the whole thing is a multiple of 3)

49. 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
(distance)/(rate) d/r
Every number
4.25 - 6 - 22

50. Simplify 9^(1/2) X 4^3 X 2^(-6)?
3
= (actual decrease/Original amount) x 100%
Yes - like radicals can be added/subtracted.
An expression with just one term (-6x - 2a^2)