Sixth Grade Math Year-End Summary

Quiz

In 1995, the total population of Charlotte was 615,709. In 2000, the population had increased to 742,683. How much did the population increase?
Complete the pattern:
35, 32, 29, 26, 23, 20, 17, ....
The following first number is divisible by the second number.

5,759; 9
1. True
2. False
6,__ 38 is divisible by 6
1. 2
2. 4
3. 6
4. 8
5. 3
6. 1
7. 5
8. 7
9. 9
Check the correct statements below:

Review Prime and Composite Numbers
1. 11 is a prime number.
2. 7 is a composite number.
3. 0 is neither a prime number nor a composite number.
4. 8 is a composite number.
5. 18 is a prime number.
Check which numbers are prime numbers:
1. 99
2. 83
3. 47
4. 106
5. 97
What is the prime factorization of 105?

Enter your answer as x,y,z, etc.
5⁴ = _______
If I write the following product as an exponent, check the correct answer below:

4 x 4 x 4 x 4 x 4 x 4
1. 6⁴
2. 4⁶
The value of the following is:

10⁶
The prime factorization of the following using exponents is:

180
1. 5 x 3² x 2
2. 3 ³ x 20
3. 5 x 3² x 2²
What is the value of the following expression:

55 ÷ 11 + 9 - 6 + 3 x 7
Find the value of the following expression:

(6² - 2³) x (98 + 7) ÷ 5
If a = 4 and b = 2, find the value of the following expression:

6a + 7b - 5
If x = 5, and y = 18, and z = 4, then find the value of the following expression:

4y x 40z - 2x
Check the statments below that are true.
1. If 150 = x + 50,
  then x = 100
2. If 87 - m = 24,
  then m = 111
3. If 64 + f = 37,
  then f = -27
4. If 38 = 20 + l,
  thern l = 18
The length of a rectangle is m. The width is k. The formula for the area of this rectangle is:
Area =
1. m + k
2. 2m +2k
3. m x k
4. 2m x 2k
Find the area of the following rectangle:

Area = ___________ cm2
You record the first letter of the first name of the 20 boys in your class.
The results are: c,d,a,h,f,m,d,,j,b,a,f,m,c,d,h,r,c,b,v,c
If you make a frequency table of these results, what would be the frquency of the "c" entry?
In the following circle graph, will more college students study Engineering or Political Science?
1. Yes
2. No
In the following stem and leaf plot of the scores of a basketball team, in how many games did the team score more than 50 points?
What is the mean of the following set of data if you exclude the outlier?
67,71,73,69,28,70

Review Statistical Landmarks
Check the statements below that are correct:
1. For the set of data 1,8,3,7,5,8,9 the mode is 8
2. For the set of data 66,74,72,71,68,70 the mean is 72
3. For the set of data 14,29,17,38,20,11,40 the median is 20
4. For the set of data 65, 7,82,35,16,29, the range is 75
The following graph shows the population of two countries. Which country's population appears to be increasing more rapidly?
1. Country A
2. Country B
Check the correct word forms of the decimals below:
1. 400.007 = four hundred and 7 hundreths
2. 400.0017 = four hundred and seventeen ten thousandths
3. 48.2 = forty-eight and 2 tenths
4. 0.101 = 101 then thousandths
Check the correct statements below:
1. 11.0905 > 11.1
2. 39.030 = 39.0300
3. 58.004 < 58.04
4. 49.051 > 49.0061
Which is the least decimal?
1. 13.0013
2. 13.013
3. 14.000013
4. 13.00013
Select the correct answers below:
1. 135.134666 rounded to the thousandths is 135.135
2. 0.3785 rounded to the hundedths is 0.379
3. 115.7533 rounded to the thousandths is 115.753
4. 125.78 rounded to the tenths is 125.9
5. 1,254.09882 rounded to the ten-thousandths is 1,254.0988
A good estimate for the sum of:
49.73 + 50.3 + 60 +21 is 181
1. True
2. False
Which of the following would be a good estimate of:
$1.43 + $0.85 + $ 2.00 + $0.72
1. $4.00
2. $6.00
3. $5.00
4. $3.00
Using pencil and paper, subtract 78.607 from 97.394
Evaluate a + b if a = 248.075 and b = 395.7089
Evaluate the following expression and round to the nearest tenth.
17.8 - 2.2²
Evaluate 23.8t if t = 3.7
Check the correct answers below:
1. 7.45 x 4.97 = 37.03 (rounded to the nearest hundredth)
2. 12.06 x 7.19 = 867.114
3. 0.042 x 0.098 = .04116
4. 2.62 x 0.17 = 0.4454
Evaluate the following expression:
a(2b +.07) - c
if a = 3.1, b = 0.08, and c = 44.12
(Calculate)
Check the correct statements that follow:
Note: answers are rounded to the nearest tenth!!!
(Calculate)
1. 248.5 ÷ 18 = 13.8
2. 111.48 ÷ 13 = 85.7
3. 67.74 ÷ 15 = 4.5
4. 8.4 ÷ 3 = 2
Check the correct statements below.
Note: Answers are rounded to the nearest hundreth.
(Calculate)
1. 7.395 ÷ 0.6 = 12.32
2. 4.729 ÷ 1.9 = 2.48
3. 396.078 ÷ 17.8 = 22.25
4. 103.2 ÷ 7.9 = 130.6
Find the perimeter of the following figure:

____ in
If π (pi) = 3.14, what is the circumference of a circle that has a diameter of 12.6 yds?
Round the answer to the nearest tenth.
________ yds
What is the perimeter of a square that is 7.8 ft on one side.

____ ft
One side of a rectangle is 9.5 in, another side is 4.8 in. What is its perimeter?

_________ in
If π = 3.14, what is the radius of a circle if the perimeter is 3,140 ft?
r = ________ ft
Check the correct statements below that are true for Greatewst Common Factors (GCF).

Review Greatest Common Factors
1. The GCF fo 9 and 21 is 7
2. The GCF of 26 and 52 is 13
3. The GCF of 56, 72 and 16 is 8
4. The GCF of 27,81, 54 is 9
Check the statements below that are correct for equivalent fractions.
1. 18/24 = 2/3
2. 2/7 = 8/28
3. 20/60 = 2/3
4. 7/12 = 28/48
5. 21/35 = 3/5
Check the correct statements below about improper fractions.
1. 77/9 = 8 5/9
2. 11 3/4 = 46/4
3. 9 2/3 = 29/3
4. 45/7 = 6 3/7
5. 5 3/8 = 44/8
Check the statements below that are true for Least Common Muliples (LCM's).
1. The LCM of 12 and 28 is 84
2. The LCM of 6, 26 and 32 is 96
3. The LCM of 7,11, and 21 is 231
4. The LCM of 5 and 16 is 80
Which of the following orders the fractions from least to greatest?
1. 7/15, 3/5, 5/12, 1/2
2. 3/5, 5/12, 7/15, 1/2
3. 1/2, 3/5, 5,12, 7/15
4. 5/12, 7/15, 1/2, 3/5
Check the following statements that are true for fractions or mixed numbers:
1. 7.49 = 7 49/100
2. 0.395 = 395/10,000
3. 3.85 = 3 17/20
4. 21.75 = 21 3/4
5. 2.054 = 2 54/100
Check the statements below that are correct for rounding numbers to the nearest half.
1. 7 2/3 is rounded to 8
2. 18 4/9 is rounded to 18.5
3. 6 2/11 is rounded to 6.5
4. 8 7/9 is rounded to 8.5
5. 11 1/7 is rounded to 11
Your Dad is measuring room in the den cabinet for a new TV set. The shelf is 42 3/8 in wide. When he measures the width of the TV set in the store, should he round up or round down to the nearest inch.
1. Round up
2. Round down
Check the statements below that are true:
1. 8 2/3 - 5 4/9 = 3 2/9
2. 4 1/6 + 9 7/11 = 13 35/66
3. 2 2/3 + 4 5/7 = 7 8/21
4. 9 7/12 - 3 5/6 = 5 2/3
5. If a = 2 2/3 and b = 1 3/4, then
  a - c = 11/12
Subtract 3 1/2 from 9 7/10.
What is the fraction part of the answer in its simplest form?
Write your anser in the form of: a/b
Check the staements below that are correct:
1. 4 1/3 X 2 5/7 = 12 16/21
2. 2 7/9 X 3 4/5 = 10 5/9
3. if m = 2 3/4 and n = 6 5/8,
  then 2mn = 36 7/16
4. 2/3 of 7 5/6 = 5 1/4
5. 30 x 3 4/5 = 114
If a = 4 3/4, and b = 6 2/3, and c = 2 5/9,
then what is (b/a)/c?

Write your answer in the simplest form of: a/b
What is the missing number in this sequence:

1/256, 1/64, ? , 1/4
Check the statements below that are correct:
1. - 9 > 8
2. - 79 < - 76
3. -58 > - 62
4. + 7 is not equal to 7
5. The opposite of +14 is - 14
-5 - ( -7 ) + ( -9 ) =
Check the statements below that are true:
1. - 6 ( - 8 ) = - 48
2. 7 ( - 8 ) = - 56
3. - 9 ( - 6 ) = 54
4. 5 ( -3 ) = 15
5. If a = - 6, and b = - 4, then
  - a x b = 24
- ( -3 x 12 ) ÷ ( - 4 ) =
In the following coordinate plane, the circled point is located at:
1. 4, 4
2. -4, 4
3. - 4 , - 4
4. 4, -4
16 ( 5 + 8 ) = 16 x (5 + 16) x 8
1. True
2. False
Check the solutions below that are true:
1. - 4 = n + 7
  n = -11
2. m - 8 = - 7
  m = - 15
3. a - 14 = 9
  a = 23
4. b + 8 = 5
  b - 3
5. - 2 = - 7 + x
  x = 5
If eighteen less 5 times a number is three, then the number is:
- 12 = 8t + 4

t = ________
Three is nineteen more than 4 times what number?
If the input m is - 5, and the output is (m - 7), what is the output?
1. 12
2. -2
3. 2
4. - 12
Write the ratio of $42 for 6 DVD's as a unit rate.
1. $7/DVD
2. 7/DVD
Check the statements below that are correct
1. 3/5 = x/25
  x = 10
2. 4/a = 12/24
  a = 8
3. 0.75 / 0.4 = b/16
  b = 30
4. 15/29 = 4/m
  m = 7
5. f/27 = 5/9
  f = 15
7.4/4 = h/3.2
Finf h to the nearest tenth:

h = _________
You have a grid that is 10 squares by 10 squares. If 17 of the squares are shaded, what percent of the grid is shaded?
Check the statements below that are correct:
1. 60% expressed as a fraction in its simplest form is: 6/10
2. 12/10 = 120%
3. 94% expressed as a fraction in its simplest form is: 47/50
4. 0.7% = 7/10
5. .0356 = 35.6%
6. 9/5 = 150 %
7. 0.8% = 0.008
0.75% of 120 =
1. 90
2. 9
3. .9
4. .09
You are applying to Duke University. You find out that you have a 1 out of 10 chance of being admitted. If you are admitted, you then are told you have a 1 out of 3 chance of living in your favorite dormitory. What is the probability that you will be going to Duke next year and living in your favorite dormitory?

Write your answer as a fraction.
Check the correct statements below:
1. 12,000 lb = 12 T
2. 4 1/2 c = 36 oz.
3. 64,000 oz = 4 T
4. 6 gal = 48 pt
5. 3 1/4 lb = 52 oz
5,000,000 mm =
1. 5,000 km
2. 5 km
3. 5000 km
4. 50 km
How many L = 725 mL
You are in a time machine. The date is Jan 13, 2006. The time is 2:14:26 A.M. You set the time machine to go backwards in time by 4 h 22 min and 38 s. The date and time now is:
1. Jan. 13, 2006, 9:51:48
2. Jan 12, 2006, 10:51:48
3. Jan. 12, 2006, 9:51:48
4. Jan. 13, 2006, 10:51:48
Angles K and L are supplementary. If the measure of angle L = 135^o, what is the measure of angle K?

_______^o
The following picture shows a triangle with 3 sides that are all different lengths.
This is a ____________ triangle.
Check the figures below that appear to be regular polygons;
1. A
2. B
3. C
4. D
How many lines of symmetry are there in a regular octagon?
1. 1
2. 2
3. 4
4. 6
5. 8
What is the area of the following parallelogram?

______ sq. ft.
What is the area of a triangle whose base is 8 2/3 yds and height is 4 3/4 yds?

Write your answer to the nearest hundreth of a sq. yd.

_________ sq. yd.
Find the area of a circle to the nearest tenth if the diameter is 12 meters. Use 3.14 for pi.

________ sq m
The figure below is :
1. a pyramid
2. a triangular pyramid
3. a triangular prism
4. a regular prism
The volume of the following prism is:

___________ cu in
The surface area of the following rectangular prism is:

Assume the units are measured in cm.

____________ sq cm
What is the area of a rectangular prism that is 4 1/2 ft by 5 3/4 ft by 8 ft?

_________ cu ft
What is the volume to the nearest tenth of a rectangular prism with length 7.2 yd, width 3.6 yd and height od 2.4 yd?

_________ cu yd