November 20

Maths Mate Sheet 6 Question 23 (Term 4 2014)

Prediction: I predict this question  will be about addition because of the repeated pluses in the question.

Read: The dight sum for 195 is 1 + 9 + 5, or 15. The digit sum for 200 is 2 + 0 + 0, or 2. Find the two consecutive numbers that have the digit sums of 27 and 1.

Clarification: None needed.

The Big Question: Find the two consecutive numbers that have the digit sums of 27 and 1.

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

Solving: Firstly I figured out what the factors of 27 were 1,3,9, and 27. That means 999 was the first number because 3 times 9 is 27 and 999 has 3 9’s in its digit sum. Since the numbers must be consecutive I figured 1000 was the second number because it has the digit sum of one and it’s consecutive.

Conclusion: So the answer was 999 and 1000

November 18

…He was Shocked to Find… (100 WC Week 12 Term 4 2014)

The rats searched the city in every nook and cranny, they were determined to find the lost soul of the giant rat, bane of cats. The city was was in lock down as a war waged on while the rats desperately tried to reclaim their prize. The cats knew though that the city couldn’t survive if the rats found the giant rats spirit but if they didn’t find it the war would never end. During the intense fire on the city’s main streets one rat managed to find a vault marked with the cats symbol. The rat called for his friends help and when they opened the vault they were shocked to find the lost treasure of the cat sun god!