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# Mathematical Process Questions - All Grades

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Which of the following is the biconditional statement for the conditional statement below?

If today is Saturday or Sunday, then it is the weekend.
1. It is the weekend if and only if it is Saturday or Sunday.
2. If is not the weekend, then it not Saturday or Sunday.
3. If it is not Saturday or Sunday, then it is not the weekend.
4. It is not Saturday or Sunday if and only if it is the weekend.
Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.1
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
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.

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?
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.

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?

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?
Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2
Colin has been asked to create a mathematical model of the penguin population on a remote island. He wants to be able to predict the growth of the penguin colony. He decides that important variables and quantities to consider in the model include: availability of food, presence of predators, the current number of penguins, and the historic growth rate of penguin population. Is Colin's list correct? Why or why not?
1. Yes, this is the correct model, and there are no more important factors to consider.
2. No, this model leaves out many important variables, such as climate, water currents, diseases, and many more.
3. No, only the current number of penguins and the historic rate of population growth are important. All the other factors are simply over-complicating the problem.
4. Neither correct nor incorrect. Any real world problem can be modeled in multiple ways and with varying degrees of complexity.
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.