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. 2 is the only
Even prime number
A chord is a line segment joining two points on a circle.
A+c<b+c
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.

2. (12sqrt15) / (2sqrt5) =
(12/2) x (sqrt15 / sqrt5) = 6sqrt3
C = 2(pi)r
Positive
Members or elements

3. -3³
(amount of decrease/original price) x 100%
27
zero
18

4. 1/2 divided by 3/7 is the same as
Two equal sides and two equal angles.
A reflection about the axis.
1/2 times 7/3
ODD number

5. What percent of 40 is 22?
Sum of digits is a multiple of 3 and the last digit is even.
180
55%
x²+2xy+y²

6. What is a central angle?
72
9
A central angle is an angle formed by 2 radii.
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

7. 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?
61 - 67
130pi
2 & 3/7
$3 -500 in the 9% and $2 -500 in the 7%.

8. a^2 + 2ab + b^2
(a + b)^2
An arc is a portion of a circumference of a circle.
x²+2xy+y²
Positive

9. Formula to find a circle'S circumference from its diameter?
Yes - because you can factor out a perfect square (36). Sqrt(36 x 2) = sqrt36 X sqrt2 = 6sqrt2.
10! / (10-3)! = 720
The set of output values for a function.
C = (pi)d

10. Evaluate and write as a mixed number: 2/7 - 3/21 + 2 & 4/14
Ab+ac
2 & 3/7
y2-y1/x2-x1
Ø

11. The sum of all angles around a point
6 : 1 : 2
A natural number greater than 1 that has no positive divisors other than 1 and itself
D/t (distance)/(time)
360°

12. 1 is the
3
Smallest positive integer
2.592 kg
The sum of the digits is a multiple of 9.

13. Volume of a cube
1:sqrt3:2
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.
Edge³
The overlapping sections.

14. Distance
(rate)(time) d=rt
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
(distance)/(rate) d/r
12! / 5!7! = 792

15. What is a percent?
A percent is a fraction whose denominator is 100.
1.7
V=Lwh
72

16. x^2 = 9. What is the value of x?
1/x
3 - -3
87.5%
A multiple of every integer

17. The sum of the angles in a quadrilateral is
4:5
62.5%
360°
Pi is the ratio of a circle'S circumference to its diameter.

18. In a triangle where the two legs are 4 and 3 - what is the value of a line directly intersecting the middle coming from the meeting point of the two legs?
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
4096
A= (1/2) b*h
Arc length = (n/360) x pi(2r) where n is the number of degrees.

19. What is the slope of a horizontal line?
0
An angle which is supplementary to an interior angle.
441000 = 1 10 10 10 21 * 21
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225

20. First 10 prime #s
1:1:sqrt2
2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23 - 29
Ø
x(x - y + 1)

21. From a box of 12 candles - you are to remove 5. How many different sets of 5 candles could you remove?
Distance=rate×time or d=rt
12! / 5!7! = 792
N! / (k!)(n-k)!
9 : 25

22. 3 is the opposite of
D/t (distance)/(time)
3
180°
Can be negative - zero - or positive

23. The ratio of the areas of two similar polygons is ...
Undefined - because we can'T divide by 0.
... the square of the ratios of the corresponding sides.
Ab=k (k is a constant)
Even prime number

24. A number is divisible by 4 is...
Its last two digits are divisible by 4.
Cd
The second graph is less steep.
180°

25. Find distance when given time and rate
67 - 71 - 73
6 : 1 : 2
A = length x width
D=rt so r= d/t and t=d/r

26. What is an exterior angle?
2 & 3/7
Distance=rate×time or d=rt
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
An angle which is supplementary to an interior angle.

27. 30< all primes<40
A+c<b+c
A = pi(r^2)
Negative
31 - 37

28. Simplify the expression [(b^2 - c^2) / (b - c)]
(b + c)
180
A grouping of the members within a set based on a shared characteristic.
Add them. i.e. (5^7) * (5^3) = 5^10

29. Ø is
A multiple of every integer
The second graph is less steep.
360°
D=rt so r= d/t and t=d/r

30. What is the graph of f(x) shifted upward c units or spaces?
F(x) + c
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
Positive
NOT A PRIME

31. 8.84 / 5.2
1.7
71 - 73 - 79
A=½bh
360°

32. Define an 'expression'.
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)
A= (1/2) b*h
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
288 (8 9 4)

33. 1/8 in percent?
12.5%
1
The sum of the digits is a multiple of 9.
1

34. To increase a number by x%
C = (pi)d
4:9. The ratio of the areas of two similar triangles equals the square of the ratio of the corresponding sides.
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
2

35. A number is divisible by 6 if...
Its divisible by 2 and by 3.
Smallest positive integer
Subtract them. i.e (5^7)/(5^3)= 5^4
Relationship cannot be determined (what if x is negative?)

36. 0^0
6
Undefined
12! / 5!7! = 792
1

37. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
27
5 OR -5
13pi / 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.

38. formula for distance problems
F(x + c)
F(x-c)
The empty set - denoted by a circle with a diagonal through it.
Distance=rate×time or d=rt

39. Number of degrees in a triangle
EVEN
180
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150
The direction of the inequality is reversed.

40. The Denominator can never
Two equal sides and two equal angles.
Be Zero!
$3 -500 in the 9% and $2 -500 in the 7%.
A grouping of the members within a set based on a shared characteristic.

41. When dividing exponential #s with the same base - you do this to the exponents...
The sum of digits is divisible by 9.
An is positive
Subtract them. i.e (5^7)/(5^3)= 5^4
12! / 5!7! = 792

42. What are the smallest three prime numbers greater than 65?
2 & 3/7
67 - 71 - 73
4096
6

43. Simplify (a^2 + b)^2 - (a^2 - b)^2
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
4a^2(b)
27
1

44. Describe the relationship between the graphs of x^2 and (1/2)x^2
The second graph is less steep.
P= 2L + 2w
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50
V=side³

45. Area of a circle
(pi)r²
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.
16^8 64^5 = (4^3)^5 = 4^15 16^8=(4^2)^8 = 4^16
Ø=P(E)=1

46. How many multiples does a given number have?
20.5
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)
F(x-c)
Infinite.

47. How to recognize a # as a multiple of 4
1 - P(E)
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.)
(n-2) x 180
A-b is negative

48. If 10800 is invested at a simple interest rate of 4% - what is the value of the investment after 18 months?
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
(base*height) / 2
$11 -448
(2x7)³

49. 1n
1
1.7
$3 -500 in the 9% and $2 -500 in the 7%.
2

50. (2²)³
M
Prime numbers (2 - 3 - 5 - 7 - 11 - 13 - 17 - 19 - 23)
3 - 4 - 5
26