# Maths Mate Term Four Sheet Eight Question #22

Predict: I predict that this problem will involve money, amounts and comparing.

Read: “Which  deal costs less per millilitre? A) 75c for 500 mL B) \$2 for 2L”

Clarify: nothing to clarify

What’s the BIG Question?: Out of the two deals, which one will end up costing less per millilitre?

Strategy: “Write an Equation” (For more strategies check out my “Mathematician’s Toolbox” page, here is the link: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly I instantly knew that if it was \$2 for 2L then it would be \$1 for 1L. To work out how much option A was I timed 75 by 2 and got 150. So it would cost \$1.50 for 1L for option A and option B was \$1 so the answer would be option B.

Summary: In the end I got the answer of option B and used my estimated strategies and my prediction was also correct.

By Gracie 🙂

# Maths Mate Term Four Sheet Seven Question #22

Predict: I predict this problem will involve problem solving, numbers and comparing skills.

Read: “Which deal costs less per litre? A) \$32 for 4L B) \$8.50 for 1L” Clarify: nothing to clarify

What’s the BIG Question?: Out of the two options, what deal on litres cost less per litre?

Strategies: “Write an Equation” and “Do I know a Similar Problem” (For more strategies, check out my “Mathematician’s Toolbox” page. Here is the link: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly, to work out how much option A would cost I divided 32 by 4, I got 8. Now knowing that option A was \$8 per litre I instantly knew it was cheaper than option B because it said that it was \$8.50 per litre.

Summary: In the end I got the answer of option A and used my estimated strategies, my prediction was also correct.

By Gracie 🙂

# Maths Mate Term Four Sheet Six Question #24

Predict: I predict this problem will involve multiplication, numbers and missing numbers.

Read: “Fill in the missing digits in the multiplication.” Clarify: nothing to clarify

What’s the BIG Question?: What digits go in the boxes that also fit into the multiplication sum?

Strategies: “Have I seen a similar problem” (For more strategies, check out my “Mathematician’s Toolbox” page, here is the link: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly I did the sum of 6 x 3 which equalled 18 so I put the 8 in the available box and carried the 1. Next I knew that I had a carried 1 and the bottom number in the answer section had to be a 3 so I put 4 in the next available box and did the sum 3 x 4 + 1 I got 13, so I then carried the 1. Finally I did the last sum of 3 x 2 + 1 and got seven so I put 7 in the last available box.

Summary: In the end I completed the multiplication sum and used my estimated strategy. My predictions were also correct!

By Gracie 🙂

# Maths Mate Term Four Sheet Five Question #24

Predict: I predict this problem will involve multiplication, numbers, prior knowledge and problem solving.

Read: “Fill in the missing digits, using the digits 1 to 9.” Clarify: nothing to clarify

What’s the BIG Question?: What digits go in the missing boxes that also fit into the sum?

Strategy: “Do I know a similar problem?” (For more strategies, check out my “Mathematician’s Toolbox” page, here is the link: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly I started with the first sum; 6 x 9 and I got 54. I then carried the 5 and put it in the available box. I then did 6 x 5 which equalled 35 so I carried the 3 and put it on top of the 1 that was already there. Finally, I did my last sum of 6 x 1 + 3 which equalled 9 so I put 9 in the last available box.

Summary: I ended up completing the sum and I used my estimated strategy and my prediction was also correct!

By Gracie:)

# Maths Mate Term Four Sheet Four Question #22

Predict: I predict this problem will involve division, numbers and my prior knowledge.

Read: “Fill in the missing number. 36 (divided by) [?] = 36”

Clarify: nothing to clarify

What’s the BIG Question?: What number goes into the missing box that fits into the sum?

Strategies: “Do I Know a Similar Problem?” and “Write an Equation” (For more strategies, check out my Mathematician’s Toolbox page: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly, I knew I had done a similar problem in last week’s maths mate so I used lots of my prior knowledge in this problem. I started with my doing my four times tables to see how many times four fits into 36, I got 9. To double check my answer I did 36 divided by 4 and I got 9, so my answer was definitely 9.

Summary: In the end I got the answer of 9; I used both my estimated strategies and my prediction was also correct!

By Gracie:)

# Maths Mate Term Four Sheet 3 Question #22

Predict: I predict this problem will include prior knowledge, multiplication and missing numbers.

Read: “Fill in the missing number.”

8 x [] = 56

Clarify: nothing to clarify

What’s the BIG Question: What number goes in the box, in the multiplication sum?

Strategies: “Work Backwards” (For more strategies, check out my “Mathematician’s Toolbox page: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly I did the sum of 56 divided by 8. My answer was 7, so I then knew that 8 x 7 equalled 56 so the missing number must of been 7.

Summary: In the end I got the answer of 7! I used my estimated strategy and my prediction was also correct.

By Gracie:)

# Maths Mate Term Four Sheet Two Question #23

Predict: I predict that this question will be about numbers and might include some trial and error.

Read: “Fill in the magic square. [Hint: Every row, column and diagonal has the sum.]”

Clarify: nothing to clarify

What’s The BIG Question?  In the magic square there are rows and columns, what numbers go in the boxes made by them?

Strategies: “Have I seen a Similar Problem?” (For More strategies, check out my Mathematician’s Toolbox page. Here is the link: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly, I knew I had seen a similar problem in last week’s maths mate so I used my prior knowledge to help me work the problem out. I added the three numbers that were all together in a diagonal first and I got 18, so I knew that every row, column and diagonal had to equal 18. I then added all the other columns, rows and diagonals together and made sure that they all equalled 18.

Summary: I found this problem quite easy because I knew what to do already and I ended up completing the magic square. My prediction and predicted strategy was also correct!

By Gracie!:)

# Maths Mate Term Four Sheet 1 Question #22

Predict: I predict this problem will be about multiplication, numbers and missing numbers (problem solving)

Read: “Fill in the missing number. 12 x [] = 36”

Clarify: nothing to clarify

What’s the BIG Question?: What is the missing number that goes in the box?

Strategies: “Make an Equation” (For more strategies, check out my “Mathematicians’ Toolbox page: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly, I wrote out the equation of 36 divided by twelve and got 3. To double check my answer I did 12 x 3 and I got 36, so my answer was 3.

Summary: In the end I got the answer of 3. I used my estimated strategy and my prediction was also correct!

By Gracie:)

# Maths Mate Term Three Sheet #8

Predict: I predict this problem will be about numbers and the four operations.

Read: “I think of a number, multiply it by 4 and then divide by 3. If the result is 12 what was the original number?”

Clarify: nothing to clarify

What’s the BIG Question: What was the original number that was thought of?

Strategies: “Write an Equation” and “Guess, check & improve” (For more strategies, check out my “Mathematician’s Toolbox” page: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly I did a bit of guess, check and improving until I got that 36 divided by 3 equals 12 so I then had to work out the second bit. To do the next bit, I worked out that 4×9  equals 36, so 9 was the answer.

Summary: I ended up with the answer of 9! I used both my estimated strategies (“Write an Equation” and “Guess, check & improve”). My prediction was also mainly correct.

By Gracie:)

# Maths Mate Term Three Sheet #7

Predict: I predict this problem is going to be about problem solving thinking and numbers.

Read: “I Think of a number, multiply it by 3 and then divide by 2. If the result is 18, what was the original number?”

Clarify: nothing to clarify

What’s the BIG Question?: What was the original number that was thought of in the question?

Strategies: “Make an Equation” and “Guess, Check and Improve” (For more strategies, check out my “Mathematician’s Toolbox” page!: http://grace2012.global2.vic.edu.au/mathematicians-toolbox/ Enjoy!)

Solving Procedure: Firstly I did lots of guess check and improving until I got 36. I then decided that 36 can be divided by 2 to get 18 so I then thought of a number that timed by 3 equalled 36 and that was 12. Finally, I made an equation like this: 12×3 divided by 2 = 18 so my answer was 12.

Summary: In the end I got the answer of 12, I used both my estimated strategies (Make an Equation and Guess, Check and Improve). My prediction was also correct.

By Gracie:)