August 13

Maths Mate Sheet 4 Question 24 (Term 3 2014)

Prediction: I predict this problem will be about distances.

Read: Towns A to F are connected by fibre optics cables along existing roads. Calculate the minimum length of cable required.

Clarification: None needed.

The Big Question: Find the minimum length of cable.

Mathematician’s Toolbox: Test all possibilities.

Solving: I saw all the ways the towns could be connected and came up with multiple equations. The one that I found to have the lowest out come was 18 + 22 + 16 + 23 + 15 = 94.

Conclusion: So the answer was 94.

August 13

Maths Mate Sheet 3 Question 23 (Term 3 2014)

Prediction: I predict this will be a problem were I’ll have to complete a sum.

Read: Fill in the missing digits in the subtraction.

8-6

–75

=43-

Clarification: None needed.

The Big Question: Complete the subtraction.

Mathematician’s Toolbox: Have I seen a similar problem?

Solving: I first worked out the missing digit in the units column would be 1 because 6 minus 5 is 1. Then I figured out that the digit in the tens would be 0 because since you can’t take away 7 from 0 you must borrow to make 10, and 10 take away 7 is 3. Now to work out the last digit you must realize that the 8 is now 7, since the end number has a 4 in the hundreds we know that the last digit must be 3. This is because 7 minus 3 is 4.

Conclusion: So the answer was

806

-375

=431

August 1

Math Mate Sheet 2 Question 23 (Term 3 2014)

Prediction: I predict this will be a problem were I’ll have to fill in missing digits.

Read: Fill in the missing digits in the sum.

16-

555

+-49

=9-8

Clarification: None needed.

The Big Question: Fill in the missing digits.

Mathematician’s Toolbox: Have I seen a similar problem?

Solving: I first figured out the first missing digit using the knowledge of the total. So the first missing digit was 4. Then I figured what the second digit in the total was just by adding up the numbers. So the second digit in the total was 6. And I figured from what had happened in the first two digits that the last digit had to be 2.

Conclusion: So the answer was

164

555

+249

=968