Potpourri of Properties
Patterns
Problem Solving
Grab Bag!
100
Which property would you use to solve this problem: Associative or Distributive? 3 x 6 x 2 Bonus: What's the product?
Associative Property. Product = 36
100
Greta writes this pattern. How do you describe the pattern of numbers: 3, 6, 9, 12, 15, 18, 21...
Greta is counting by 3.
100
Rosstopher has 6 dog friends. Each of his friends brought 6 treats to a party. How many treats were at the party?
There were 36 treats.
100
On Friday, 238 people attended a show. What is 238 rounded to the nearest ten?
240
200
Which property would you use to solve this problem: Associative or Distributive? 5 x 8 Bonus: What's the product?
Distributive Property. Product = 40.
200
What pattern do you notice in the 5s of the multiplication table: 5, 10, 15, 20, 25, 30, 35, 40, 45, 50
The ones digits is always 5 or 0.
200
Is the product of 8 x 8 even or odd?
It is 64, so it is even.
200
A music school has 250 boys who play the drums and 139 girls who play the drums. How many more boys than girls play the drums?
111 more boys play the drums.
300
Andy wants to solve the problem 3 x 9 with the Distributive Property. Write an equation that shows how you could break this problem apart.
Possible answer: (3 x 5 ) + ( 3 x 4 ) 15 + 12 = 27
300
What pattern do you notice in the 9s of the multiplication table? 9, 18, 27, 36, 45, 54, 63, 72, 81, 90
The sum of the digits always equals 9 and the numbers change order.
300
Dinah is making a quilt with 4 squares. She decides to make 9 quilts to give to her cat friends. How many squares will she make total?
She will make 36 squares for all the quilts.
300
Abby and Cruz are playing a game. Abby's score was 168 points less than Cruz'z score. Cruz's score was 754. What is the best estimate of Abby's score?
The best estimate is 600 points for Abby's score.
400
Regina wants to use the Associate Property to solve the problem 2 x 6 x 8. Write two ways you can group the factors.
(2 x 6) x 8 or 2 x ( 6 x 8 ) = 96
400
Are there any rows or columns of the multiplication table that are all odd numbers?
No!
400
Juan has 2 stacks of boxes. In each stack there are 4 boxes with 3 bananas in each box. How many bananas does he have in all?
2 x 4 x 3 = 24 bananas
400
A roller coaster ride has 5 cars. Each car has 2 rows. Each row has 3 seats. How many seats are in the whole roller coaster ride? How many people can ride if the roller coaster runs twice?
There are 30 seats. In two runs, 60 people can ride.
500
Use the Distributive Property to solve: 7 x 16
( 7 x 10) + ( 7 x 6) 70 + 42= 112
500
Brian write these numbers: 6, 12, 18, 26, 32, 38. He says this is a pattern from the multiplication table. Is he right?
No, he made a mistake. It should be 6, 12, 18, 24, 30, 36...
500
Jose ran 5 miles every day for a whole week. He also walked 3 miles a day for a week. How many miles did he travel over that week?
(5 x 7) + (3 x 7) 35 + 21= 56 miles
500
Sofia is planning to create a scrapbook. Some pages will have 1 picture and some pages will have 2 pictures. She has 12 pictures. How many ways can she put the pictures in to the scrapbook?
Answers will vary.
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