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. 1 is an
(2x7)³
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)
ODD number
83.333%

2. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
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
Parallelogram
4725

3. 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)]?
An arc is a portion of a circumference of a circle.
True
61 - 67
A²+b²=c²

4. The negative exponent x?n is equivalent to what?
1/xn i.e. 5^-3 = 1/(5^3) = 1/ 125 = .008
X
6 : 1 : 2
Arc length = (n/360) x pi(2r) where n is the number of degrees.

5. b¹
1
Distance=rate×time or d=rt
23 - 29
Triangles with same measure and same side lengths.

6. 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

7. 3 is the opposite of
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
A grouping of the members within a set based on a shared characteristic.
3
Ø

8. The Denominator can never
1
P= 2L + 2w
0
Be Zero!

9. What is a major arc?

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

10. If an inequality is multiplied or divided by a negative number....
The direction of the inequality is reversed.
(2x7)³
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
130pi

11. 2 is the only
A-b is negative
1
Even prime number
x²+2xy+y²

12. formula for the volume of a cube
V=side³
The greatest value minus the smallest.
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...
6

13. 1/8 in percent?
V=Lwh
3
12.5%
28. n = 8 - k = 2. n! / k!(n-k)!

14. An Angle that'S 180°
D/t (distance)/(time)
Null
Straight Angle
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%

15. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
26
An infinite set.
3/2 - 5/3
13pi / 2

16. The sum of the measures of the n angles in a polygon with n sides
9 : 25
(n-2) x 180
Its last two digits are divisible by 4.
N! / (n-k)!

17. binomial product of (x+y)²
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
26
(x+y)(x+y)
70

18. What is a percent?
A grouping of the members within a set based on a shared characteristic.
The sum of the digits is a multiple of 9.
D/t (distance)/(time)
A percent is a fraction whose denominator is 100.

19. (x^2)^4
Indeterminable.
x^(2(4)) =x^8 = (x^4)^2
D=rt so r= d/t and t=d/r
A chord is a line segment joining two points on a circle.

20. Reduce: 4.8 : 0.8 : 1.6
A multiple of every integer
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
6 : 1 : 2
A percent is a fraction whose denominator is 100.

21. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
2 & 3/7
An isosceles right triangle.
Even
1

22. How to determine percent decrease?
(amount of decrease/original price) x 100%
1
A-b is positive
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16

23. The Perimeter of a rectangle
1
P=2(l+w)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
28

24. Circumference of a circle?
1
F(x) + c
Diameter(Pi)
An infinite set.

25. What does scientific notation mean?
Negative
(a + b)^2
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Members or elements

26. 5/8 in percent?
Members or elements
F(x + c)
72
62.5%

27. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
2.592 kg
1
441000 = 1 10 10 10 21 * 21
Arc length = (n/360) x pi(2r) where n is the number of degrees.

28. How do you solve proportions? a/b=c/d
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
87.5%
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
D/t (distance)/(time)

29. What is the name of set with a number of elements which cannot be counted?
All numbers multiples of 1.
23 - 29
An infinite set.
V=l×w×h

30. What is it called when a point is reflected to the quadrant opposite it (i.e. I to III or II to IV)?
The second graph is less steep.
90
53 - 59
A reflection about the origin.

31. 7 divided by Ø
y/x is a constant
The union of A and B.
Null
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.

32. 30 60 90
441000 = 1 10 10 10 21 * 21
2^9 / 2 = 256
V=Lwh
3x - 4x - 5x

33. What is the 'union' of A and B?
Even prime number
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
The set of elements which can be found in either A or B.
1

34. Ø Is neither
The two xes after factoring.
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
Positive or Negative
The union of A and B.

35. Perimeter of a rectangle
The longest arc between points A and B on a circle'S diameter.
D=rt so r= d/t and t=d/r
P= 2L + 2w
zero

36. formula for area of a triangle
A=½bh
Edge³
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)

37. (6sqrt3) x (2sqrt5) =
x²-y²
4096
Undefined - because we can'T divide by 0.
(6 x 2)(sqrt3 x sqrt5) = 12sqrt15

38. What are 'Supplementary angles?'
Pi(diameter)
Two angles whose sum is 180.
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)
P=2(l+w)

39. The reciprocal of any non-zero #x is
Every number
16.6666%
1/x
an angle that is less than 90°

40. (x-y)²
x²-2xy+y²
7 / 1000
180
Two angles whose sum is 90.

41. When multiplying exponential #s with the same base - you do this to the exponents...
12sqrt2
90
Its divisible by 2 and by 3.
Add them. i.e. (5^7) * (5^3) = 5^10

42. Rate
V=side³
The longest arc between points A and B on a circle'S diameter.
20.5
D/t (distance)/(time)

43. What is the order of operations?
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
A central angle is an angle formed by 2 radii.
A natural number greater than 1 that has no positive divisors other than 1 and itself

44. The Perimeter of a Square
2
Infinite.
12! / 5!7! = 792
P=4s (s=side)

45. a^2 - 2ab + b^2
Indeterminable.
The set of elements which can be found in either A or B.
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
(a - b)^2

46. Formula to find a circle'S circumference from its diameter?
12sqrt2
Ab=k (k is a constant)
C = (pi)d
F(x) + c

47. What is an isoceles triangle?
Two equal sides and two equal angles.
83.333%
All numbers which can be expressed as a ratio of two integers. (All integers and fractions.) (-2 - 1 - .25 - 1/2)
Move the decimal point to the right x places

48. Circumference of a circle
C = (pi)d
2(pi)r
A = length x width
9 : 25

49. A prime number (or a prime)
Positive or Negative
31 - 37
A natural number greater than 1 that has no positive divisors other than 1 and itself
The set of elements found in both A and B.

50. What is the graph of f(x) shifted left c units or spaces?
F(x + c)
Indeterminable.
Null
A²+b²=c²