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. How many digits are there between the decimal point and the first even digit in the decimal equivalent of 1/[(2^8)(5^3)]
Factors are few - multiples are many.
0
(rate)(time) d=rt
11 - 13 - 17 - 19

2. Convert 0.7% to a fraction.
Every number
7 / 1000
No - only like radicals can be added.
Yes - like radicals can be added/subtracted.

3. How many multiples does a given number have?
x²-y²
Infinite.
ODD number
Pi(diameter)

4. Slope of any line that goes down as you move from left to right is
The point of intersection of the systems.
x - x(SR3) - 2x
Negative
A reflection about the origin.

5. a>b then a - b is positive or negative?
The shortest arc between points A and B on a circle'S diameter.
x²+2xy+y²
A-b is positive
Null

6. Formula for the area of a sector of a circle?
1
13pi / 2
The interesection of A and B.
Sector area = (n/360) X (pi)r^2

7. The four angles around a point measure y - 2y - 35 and 55 respectively. What is the value of y?
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
90
72
2sqrt6

8. Simplify the expression (p^2 - q^2)/ -5(q - p)
(base*height) / 2
Ø
(p + q)/5
6

9. The consecutive angles in a parallelogram equal
9 : 25
(a + b)^2
180°
61 - 67

10. 50 < all primes< 60
y2-y1/x2-x1
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Straight Angle
53 - 59

11. What are the irrational numbers?

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

12. Simplify the expression [(b^2 - c^2) / (b - c)]
x - x(SR3) - 2x
Even
(b + c)
(amount of decrease/original price) x 100%

13. Legs 6 - 8. Hypotenuse?
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
A grouping of the members within a set based on a shared characteristic.
10
Even prime number

14. The objects in a set are called two names:
NOT A PRIME
Members or elements
23 - 29
5 - 12 - 13

15. Formula for the area of a circle?
A = pi(r^2)
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
2²
x = [(-b)+/- (sqrt b^2 - 4ac)]/2a

16. -3²
N! / (n-k)!
The set of input values for a function.
ODD number
9

17. A number is divisible by 4 is...
1
N! / (n-k)!
Its last two digits are divisible by 4.
9 : 25

18. What are the smallest three prime numbers greater than 65?
2sqrt6
= (actual decrease/Original amount) x 100%
67 - 71 - 73
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.

19. 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?
Ø Ø=Ø
1:1:sqrt2
10! / 3!(10-3)! = 120
1

20. A quadrilateral where two diagonals bisect each other
Parallelogram
A=pi*(r^2)
4725
5

21. Probability of Event all cases
All numbers multiples of 1.
Ø
Ab-ac
Ø=P(E)=1

22. The Perimeter of a Square
13pi / 2
53 - 59
P=4s (s=side)
(base*height) / 2

23. 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)?
All numbers multiples of 1.
V=Lwh
y = (x + 5)/2
A=½bh

24. Area of a triangle?
(base*height) / 2
90
Its divisible by 2 and by 3.
1:sqrt3:2

25. When does a function automatically have a restricted domain (2)?
... the square of the ratios of the corresponding sides.
NOT A PRIME
(a - b)(a + b)
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.

26. The important properties of a 45-45-90 triangle?
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.)
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.
31 - 37
The union of A and B.

27. 10<all primes<20
Positive or Negative
11 - 13 - 17 - 19
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
87.5%

28. A number is divisible by 3 if ...
F(x) + c
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)
No - only like radicals can be added.
The sum of its digits is divisible by 3.

29. -3³
Two equal sides and two equal angles.
A reflection about the axis.
y2-y1/x2-x1
27

30. Hector invested $6000. Part was invested in account with 9% simple annual interest - and the rest in account with 7% simple annual interest. If he earned $490 in the first year of these investments - how much did he invest in each account?
$3 -500 in the 9% and $2 -500 in the 7%.
Do not have slopes!
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)
P= 2L + 2w

31. 1/6 in percent?
16.6666%
(amount of decrease/original price) x 100%
52
Triangles with same measure and same side lengths.

32. If 4500 is invested at a simple interest rate of 6% - what is the value of the investment after 10 months?
The steeper the slope.
4725
an angle that is less than 90°
(a + b)^2

33. 25^(1/2) or sqrt. 25 =
130pi
55%
Ab+ac
5 OR -5

34. Area of a Parallelogram:
A=(base)(height)
A set with a number of elements which can be counted.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
2(pi)r

35. A prime number (or a prime)
A natural number greater than 1 that has no positive divisors other than 1 and itself
(distance)/(rate) d/r
67 - 71 - 73
75:11

36. 1/2 divided by 3/7 is the same as
2^9 / 2 = 256
1/2 times 7/3
12sqrt2
Two (Ø×2=Ø)

37. What is the slope of a vertical line?

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

38. What is a set with no members called?
The empty set - denoted by a circle with a diagonal through it.
A = pi(r^2)
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
(rate)(time) d=rt

39. What is the 'union' of A and B?
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...
The set of elements which can be found in either A or B.
1:sqrt3:2
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

40. Probability of an Event
NOT A PRIME
P(E) = number of favorable outcomes/total number of possible outcomes
Undefined
x^(2(4)) =x^8 = (x^4)^2

41. For similar triangles - the ratio of their corresponding sides is 2:3. What is the ratio of their areas?
Cd
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Two angles whose sum is 180.

42. A cylinder has a surface area of 22pi. If the cylinder has a height of 10 - what is the radius?
1
360°
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
The set of elements which can be found in either A or B.

43. In any polygon - all external angles equal up to
Even
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The direction of the inequality is reversed.
360°

44. If Event is impossible
Right
P(E) = ø
Every number
x²-y²

45. 25+2³
y/x is a constant
4a^2(b)
Every number
28

46. What is the name of set with a number of elements which cannot be counted?
Undefined - because we can'T divide by 0.
An infinite set.
41 - 43 - 47
Ø Ø=Ø

47. Number of degrees in a triangle
180
The overlapping sections.
Members or elements
(x+y)(x-y)

48. Circumference of a Circle
C=2 x pi x r OR pi x D
Positive
Ø Ø=Ø
x - x(SR3) - 2x

49. What is a minor arc?

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

50. If the 80th percentile of the measurements is 72degrees - about how many measurments are between 69 degrees and 72 degrees? Round your answer to the nearest tenth
18
V=l×w×h
62.5%
3/2 - 5/3