Grade 6 Number Operations and Relationships page 1
Name______Date______
Mathematics Grade 6
Classroom Assessment Based on Standards (MMP 8/06)
MPS Learning Target – Number Operations and Relationships- Represent and rename numbers, identify prime and composite numbers, and use factors, multiples, and prime factorization to solve and explain problems.
- Apply, explain, and evaluate strategies to estimate, compare, and compute fractions, decimals, and percents using a variety of methods (e.g., mental computation, technology, manipulatives) with and without context.
1.) Write 9,800,030.007 in expanded form.
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2.) Write the number that is seven million six more than one million one thousand one?
Write the answer in standard form and in words.
Standard Form:______
Words:______
______
3.) Write your best estimate for the following expression:
3,402.3 - 876.9
Estimate: ______
4a.) Estimate the value of the following problem.
56.718+ 8.324 + 23.09 = ? Estimate ______
4b.) Solve the above problem, show your thinking.
Answer: ______
5a.) Write the following decimals and fractions in words.
2/8 ______
7/10______
14/20______
3/5______
0.28______
0.67______
0.708______
5b) Place the numbers in 5a on the number line below.
6a.) Write a story problem for the equation [ ? ] - 3/4 = 1 1/2
6b) Solve the problem showing your thinking.
7.) Using information about the Pizza Pirate’s theft, complete the following chart.
Timeline / Pizza eaten / Pizza left over / Pizza eaten / Pizza left over / Pizza eaten / Pizza left overAfter Monday night’s theft /
After Tuesday night’s theft
After Wednesday night’s theft
SportsOther
Hobbies
1/4
Clubs
1/8
8a.) There are 1,200 students enrolled in AdamsMiddle School. According to the pie graph above, what is the combined number of students who participate in hobbies and clubs?
- 300
- 450
- 760
- 850
- 1162
8b.) What percent of students participate in hobbies and clubs? ______
9a.) Prime Factorization
Express 255 in prime factorization. / Express 29 in prime factorization.9b.) Explain the difference between prime and composite numbers.
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10.) The school cafeteria serves cheeseburgers every 8 days and chewy brownies every 12 days.
If both are being sold today, how many days will it be before they are both being sold again?
Answer______
Show your work and explain your thinking.
11.) List the whole number each expression is closest to?
a) 1/11 + 2/9 + 1/15 ______
b) 63/20 + 50/7______
c) 1.651 - .093______
d) 2 4/6 + .75______
e) 42A46______
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12a) The Makit-Bumpy road crew was working on Lakeland Road. The road crew could pave 2/3 of a mile a day. How many days would it take the crew to pave the 20-mile stretch of road?
Show your work:
12b) The Makit-Bumpy road crew was working on the freeway. The road crew could pave 1/4 of a mile a day. How many days would it take the crew to pave the 25 1/2 mile road?
Show your work:
13a) Name a fraction that is between 1/2 and 2/3 in size:
1/2 < ______< 2/3
13b) Justify (explain) how you know your fraction is between 1/2 and 2/3.
14.) Determine the mystery number:
- It is a prime number.
- It has two digits.
- One of its factors is 13.
The number is ______.
15.) Solve: 56 x 4.5% = ______
Show your work:
Developed by the Milwaukee Mathematics Partnership (MMP) with support by the National Science Foundation under Grant No. 0314898.