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Mathematical Process Questions - All Grades

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Grade 10 Logical Thinking
Given the statement: "If you eat all your vegetables, then you will grow," which of the following choices is its inverse?
  1. If you grow, then you will eat all of your vegetables.
  2. If you do not grow, then you will not eat all of your vegetables.
  3. If you do not eat all of your vegetables, then you will not grow.
Grade 3 Problem Solving Strategies
Read the word problem:
Christmas - Tree - Small
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
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.
Grade 10 Problem Solving Strategies CCSS: HSN-Q.A.2
Carl is planting a vegetable garden, but will need to build a fence around it so the deer cannot eat the plants. He has 30 m of fencing, and wants to enclose an area of 50 square meters to accommodate all the plants he wants to grow. If Carl were to create a mathematical model to help him know how to build the fencing appropriately, what variable(s) would be useful to create?
  1. One variable, the length of the side of the garden.
  2. One variables, the total perimeter of the garden.
  3. Two variables, the length and width of the garden.
  4. Two variables, the amount of fence he has, and the area of the garden.
Grade 10 Logical Thinking
On Wednesdays we wear pink.
It is Wednesday.
Therefore
  1. we are wearing pink.
  2. we are not wearing pink.
  3. we don't have to wear pink.
  4. there is not enough information given.
Grade 10 Logical Thinking
Reasoning logically from a given premise or premises, one arrives at a certain conclusion. This is called                     .
  1. Inductive reasoning
  2. Logical progression
  3. Deductive reasoning
  4. Normal reasoning
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.
Grade 10 Logical Thinking
Give the contrapositive to the following statement: If I read a lot of books, I will get smarter.
  1. If I get smarter, I read a lot of books.
  2. If I read a lot of books, I won't get smarter.
  3. If I don't get smarter, then I don't read a lot of books.
  4. If I don't read a lot of books, I will get smarter.
Grade 9 Logical Thinking
A cylindrical hole has a diameter of 40 meters and a height of 10 meters. If one cubic meter of sand has a mass of 75 kg, which is a way to find the amount of sand in the hole?
  1. 40 x 3.14 x 10 divided by 75 kg
  2. 20 x 3.14 x 10 divided by 75 kg
  3. 20 squared x 3.14 x 10 divided by 75 kg
  4. 75 x 10 x 40 x 0 kg
Grade 10 Logical Thinking
If a figure is a three sided polygon then it is a triangle.
Figure ABC is a three sided Polygon.
Therefore
  1. figure ABC is not a triangle.
  2. figure ABC is a triangle.
  3. figure ABC has three sides.
  4. there is not enough information given.
Grade 10 Logical Thinking
Which best describes what a conditional is?
  1. A rule
  2. If p then q
  3. A proof
  4. If q then p
Grade 11 Logical Thinking
A statement that can be written in if-then form is a
  1. compound statement.
  2. conclusion statement.
  3. conditional statement.
  4. conjunction statement.
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