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# Mathematical Process Questions - All Grades

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8 snowmen have red mittens. 5 snowmen have green mittens. 7 snowmen have blue mittens. How many more snowmen have red mittens than green mittens?

What is the extra information?
1. 8 snowmen have red mittens.
2. 5 snowmen have green mittens.
3. 7 snowmen have blue mittens.
4. How many more snowmen have red mittens than green mittens?
Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.1
Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.1
Using dimensional analysis, the following calculation can be performed to convert between 3 pounds and its equivalent in grams (using the rate of 1 oz equals 28.3 g).

$(3 \ "lb")/1 xx (16 \ "oz") / (1 \ "lb") xx (28.3 \ "g")/(1 \ "oz") = 1,358.4 \ "g"$

Mathematically, why can 3 be multiplied by the factors $(16 \ "oz") / (1 \ "lb")$ and $(28.3 \ "g")/(1 \ "oz") ?$
1. Because this is dimensional analysis, regular rules of math do not apply.
2. Since the necessary units cancel out, there is no problem.
3. Because each of these factors is equal to one (the numerator and denominator are equal, but in different units).
4. By the Multiplicative Property of Equality.
Jodi bought cans of tennis balls that cost $2.50 per can. What else do you need to find out how much money Jodi spent in all? 1. If she is playing singles or doubles. 2. How many cans of tennis balls bought. 3. Whether she won or lost the match. 4. How many cans of tennis balls the store had. Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2 A moving company chargers$65 per hour, plus a fee that depends on the distance between where the objects are being moved (\$35 for every mile). What variable(s) would be good to define if one were to create an expression that would determine the total cost of moving?
1. One variable: C, the cost of moving.
2. One variable: t, for the amount of time.
3. Two variables: C, for the total cost, and t, for the amount of time.
4. Two variables: t, for the amount of time, and d, for the distance traveled.
The steps of the four-step problem-solving plan, in order, are
1. examine, plan, solve, and explore.
2. explore, plan, solve, and examine.
3. examine, explore, plan, and solve.
4. plan, examine, explore, and solve.
David went shopping for school clothes. He bought 2 pairs of slacks, 3 shirts, and 1 sweater. What do you NOT need to know to find out how much money David had left after shopping?
1. how many hours David shopped
2. how much money David started with
3. how much money each pair of slacks cost
4. how much money the sweater cost

A toy store has 4 shelves of Santa toys. Each of the Santa toys is 5 inches tall. There are a total of 28 Santa toys. How many Santa toys are on each shelf?

What is the extra information?
1. A toy store has 4 shelves of Santa toys.
2. Each of the Santa toys is 5 inches tall.
3. There are a total of 28 Santa toys.
4. How many Santa toys are on each shelf?

Taylor's family has 6 stockings hanging by the chimney. Cedric's family has 4 stockings hanging by the chimney. All of the stockings are red and green. How many total stockings are hanging by the chimneys?

What is the extra information?
1. Taylor's family has 6 stockings hanging by the chimney.
2. Cedric's family has 4 stockings hanging by the chimney.
3. All of the stockings are red and green.
4. How many total stockings are hanging by the chimneys?
Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2
There is a leak in the ceiling of Kara's room. She puts a bucket underneath the drip. After an hour, there's about a half liter of water. She checks back in another 3 hours, and there is about 2 liters of water. If she wants to determine how much water there will be in 12 hours, what quantity or quantities would she need to determine?
1. The rate of the water's increase, in liters per hour.
2. The amount of water in the bucket, in liters.
3. The amount of water in the bucket in liters and the amount of time that has passed in hours.
4. The size of the bucket in liters and the rate of the drip in liters per hour.

Julia hangs 12 candy canes on the tree. Clare hangs 8 snowmen on the tree. Alex hangs 9 candy canes on the tree. How many candy canes were hung on the tree?

What is the extra information?
1. Julia hangs 12 candy canes on the tree.
2. Clare hangs 8 snowmen on the tree.
3. Alex hangs 9 candy canes on the tree.
4. How many candy canes were hung on the tree?