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. Reduce: 4.8 : 0.8 : 1.6
Distance=rate×time or d=rt
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
A=(base)(height)
6 : 1 : 2

2. Number of degrees in a triangle
An arc is a portion of a circumference of a circle.
180
70
5 OR -5

3. What are 'Supplementary angles?'
6
Sector area = (n/360) X (pi)r^2
Two angles whose sum is 180.
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.)

4. Define a 'monomial'
Null
2sqrt6
x^(2(4)) =x^8 = (x^4)^2
An expression with just one term (-6x - 2a^2)

5. 20<all primes<30
N! / (k!)(n-k)!
23 - 29
180°
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. (x^2)^4
M= (Y1-Y2)/(X1-X2)
Factors are few - multiples are many.
The second graph is less steep.
x^(2(4)) =x^8 = (x^4)^2

7. Describe the relationship between 3x^2 and 3(x - 1)^2
62.5%
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
= (actual decrease/Original amount) x 100%
Undefined - because we can'T divide by 0.

8. What is the 'union' of A and B?
x - x+1 - x+2
61 - 67
The set of elements which can be found in either A or B.
y2-y1/x2-x1

9. a/Ø
x^(4+7) = x^11
Null
P(E) = 1/1 = 1
6

10. a^2 + 2ab + b^2
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.)
(a + b)^2
A+c<b+c
72

11. A cylinder has surface area 22pi. If the cylinder has a height of 10 - what is its radius?
1
An infinite set.
54sqrt3. (divide the hexagon into 6 congruent equilateral triangles.
An angle which is supplementary to an interior angle.

12. Whats the difference between factors and multiples?
Factors are few - multiples are many.
$11 -448
When we need to avoid having a zero in the denominator or avoid taking the square root of a number.
Reciprocal

13. The important properties of a 45-45-90 triangle?
75:11
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.
6 : 1 : 2
A = length x width

14. 1 is a divisor of
67 - 71 - 73
Every number
1
Even prime number

15. binomial product of (x+y)(x-y)
x²-y²
Two angles whose sum is 90.
8
20.5

16. What is the ratio of the surface area of a cube with an edge of 10 to the surface area of a rectangular solid with dimensions 2 - 4 - and 6?
Subtract them. i.e (5^7)/(5^3)= 5^4
75:11
16.6666%
500

17. A number is divisible by 4 is...
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)
1/x
Expressing a number as the product of a decimal between 1 and 10 - and a power of 10.
Its last two digits are divisible by 4.

18. Circumference of a Circle
... the square of the ratios of the corresponding sides.
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
C=2 x pi x r OR pi x D
12.5%

19. Ratio of ages of Anna and Emma is 3:5 and of Emma and Nicolas is 3:5. What is the ratio of Anna to Nicholas' ages?
A+c<b+c
A reflection about the axis.
9 : 25
83.333%

20. (x-y)(x+y)
V=Lwh
48
Its divisible by 2 and by 3.
x²-y²

21. What is the set of elements found in both A and B?
The interesection of A and B.
Every number
180°
A chord is a line segment joining two points on a circle.

22. Consecutive integers
x - x+1 - x+2
5 - 12 - 13
(p + q)/5
Multiply by 1-x% i.e. 100 x (1-50%)=100x.5=50

23. 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?
x^(6-3) = x^3
2(pi)r
$3 -500 in the 9% and $2 -500 in the 7%.
0

24. Ø is
Even
(a - b)(a + b)
20.5
90

25. In a rectangle - all angles are
Right
Two equal sides and two equal angles.
Can be negative - zero - or positive
Be Zero!

26. If a lamp decreases to $80 - from $100 - what is the decrease in price?
= (actual decrease/Original amount) x100% = 20/100x100% = 20%
180 degrees
The second graph is less steep.
an angle that is less than 90°

27. 50 < all primes< 60
Right
The overlapping sections.
1/a^6
53 - 59

28. 1:sqrt3:2 is the ratio of the sides of what kind of triangle?
y = (x + 5)/2
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)
5 OR -5
A 30-60-90 triangle.

29. If a=-1 and b=3 - what is the value of (4(a^3)(b^2) - 12(a^2)(b^5)) / (16(a^3)(b^2))?
Positive or Negative
20.5
The set of output values for a function.
An infinite set.

30. 1/Ø=null If a>b then
$11 -448
A<-b
A+c<b+c
The set of input values for a function.

31. x^2 = 9. What is the value of x?
0
C = 2(pi)r
3 - -3
y2-y1/x2-x1

32. 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?
3
52
The set of elements found in both A and B.
Infinite.

33. What is the side length of an equilateral triangle with altitude 6?
The set of elements found in both A and B.
A=pi*(r^2)
The set of output values for a function.
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...

34. A triangle is inscribed in a semi circle with legs 5 and 12. What is the circumfermence of the semicircle?
x - x(SR3) - 2x
= 25%. = (actual increase/original amount) x 100% = 20/80 x 100% = 1/4 x 100% = 25%
13pi / 2
(pi)r²

35. Area of a triangle
A= (1/2) b*h
A tangent is a line that only touches one point on the circumference of a circle.
Null
12sqrt2

36. 40 < all primes<50
No - only like radicals can be added.
The sum of digits is divisible by 9.
41 - 43 - 47
Null

37. Time
(distance)/(rate) d/r
(n-2) x 180
Undefined - because we can'T divide by 0.
(a + b)^2

38. The product of odd number of negative numbers
Negative
B?b?b (where b is used as a factor n times)
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.
Even

39. A brick with dimensions 10. 15 and 25 weighs 1.5 kg. A second brick (same density) has dimensions 12 - 18 - and 30. What is the weight of the second brick?
18
Ø Ø=Ø
2.592 kg
Ø

40. The reciprocal of any non-zero number is
1/x
Positive
Cross multiplication a/b=c/d 4/6=10/15 4(15)=6(10) 60=60
Two equal sides and two equal angles.

41. 60 < all primes <70
1 - 4 - 9 - 16 - 25 - 36 - 49 - 64 - 81 - 100 - 121 - 144 - 169 - 196 - 225
V=Lwh
A= (1/2) b*h
61 - 67

42. What is the order of operations?
The direction of the inequality is reversed.
Its last two digits are divisible by 4.
x - x(SR3) - 2x
PEMDAS (Parentheses Exponents Multiplication/Division Addition/Subtraction)

43. How to recognize if a # is a multiple of 12
37.5%
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.)
Ø
12sqrt2

44. 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?
3 - 4 - 5
True
48
Multiply by 1+x% i.e. 100 x (1+50%)=100x1.5=150

45. the measure of a straight angle
The graph of 3(x - 1)^2 is a translation (shift) of the graph one unit or space to the right.
180°
1.7
A<-b

46. One is (a prime or not?)
NOT A PRIME
The two xes after factoring.
1
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.)

47. Factor x^2 - xy + x.
1:sqrt3:2
y2-y1/x2-x1
83.333%
x(x - y + 1)

48. To multiply a number by 10^x
1
4:5
y = 2x^2 - 3
Move the decimal point to the right x places

49. 0^0
Undefined
(2x7)³
1
Positive or Negative

50. In a Rectangle - each angles measures
(a - b)(a + b)
72
D=rt so r= d/t and t=d/r
90°