Grade 6 Operations with Rational Numbers

Bethany is creating snack bags for the school festival. She makes individual packages of trail mix using $$4\ \frac{1}{2}$$ cups of trail mix and fills bags that can hold $$\frac{3}{8}$$ cup of mix. How many snack bags can Bethany make?

Taylor made a sign for her school’s field day. She had roll of paper that contained $$1\ \frac{2}{3}$$ yards of paper. She used $$\frac{5}{6}$$ yard to make the sign. How much paper remained on the roll after Taylor made her sign?

Haylin is making cupcakes for herself and her 3 friends that are coming over. She looks at the recipe and notices it calls for $$2\ \frac{1}{2}$$ cups of flour and makes 12 cupcakes. She would like to only make enough for each person to have one cupcake (including herself).

PART A: How much of the recipe should she make so that she has exactly enough for each person to have one cupcake?

Haylin is making cupcakes for herself and her 3 friends that are coming over. She looks at the recipe and notices it calls for $$2\ \frac{1}{2}$$ cups of flour for 12 cupcakes. She would like to only make enough for each person to have one cupcake each.

PART B: Choose the correct number of cups of flour she needs for the new amount.

Sasha and Jose are analyzing visual representations to multiply decimals. They are reviewing the representation below for a certain problem. Who is correct, Jose or Sasha?

The park has a hiking trail that is 12.725 kilometers long. If Kaitlin hikes the first 5.25 kilometers, how many kilometers of the trail does she have left to hike?

Nathan takes the change out of his pocket each day and deposits it in a piggy bank. Over the last 5 days, Nathan deposited $8.26, $8.26, $10.62, $5.87, $5.87, $6.54, and $14.51 to his piggy bank. If he adds the $7.18 he had in his pocket today to his piggy bank, what will happen?

Jayshon and Lily made a large batch of trail mix for their camping trip that totaled $$2\ \frac{3}{4}$$ cups. They want to buy some containers in which to sort their trail mix. They would like to use the smallest combination of containers possible to save space in their camping gear. They are open to using at least two different types of containers but can’t carry more than 6. Which container combination could they use to sort their mix?

Javier wants to make a batch of smoothie large enough to serve 6 people. Each person should be served an equal amount of the smoothie.

PART A: Determine the total amount of each ingredient needed to make enough smoothie for 6 people if the original recipe is for 1 person.