Parallelogram 23 • Level 1 • 8 Feb 2024Nugget numbers
Noun: Parallelogram Pronunciation: /ˌparəˈlɛləɡram/
- a portmanteau word combining parallel and telegram. A message sent each week by the Parallel Project to bright young mathematicians.
- Tackle each Parallelogram in one go. Don’t get distracted.
- Finish by midnight on Sunday if your whole class is doing parallelograms.
- Your score & answer sheet will appear immediately after you hit SUBMIT.
- Don’t worry if you score less than 50%, because it means you will learn something new when you check the solutions.
1. Fast food, quick maths
Sometimes in life you know exactly what you want.
Watch this video where Dr. Brady Haran goes to the drive-thru for exactly 43 nuggets - is it even possible to order that many?
(If you have problems watching the video, right click to open it in a new window)1.1 Using the standard boxes of 4, 6, 9 and 20 nuggets - which of these amounts would be impossible to order?
- 10
- 11
- 43
- 71
- (Not answered)
1.2 How many different ways are there to order 20 nuggets?
- 1
- 2
- 3
- 4
- (Not answered)
1.3 In an alternate drive-thru, veggie nuggets are offered in boxes of 3, 5, 8 and 13.
What is the largest number of nuggets which cannot be ordered?
- 7
- 9
- 17
- 28
- (Not answered)
2. Numberjig puzzle
2.1 In the following puzzle, you must use all of 1, 2, 3, 4 and 5 so that the row and column have the same total.
What do we know about the number in the centre?
- It is odd
- It is even
- (Not answered)
If the centre number was even, then this would leave us with one even and three odds.
This means that we cannot balance the row and the column, so the centre must be odd.
An odd centre means that the we have two odds and two evens left, which can balance.
2.2 In this next puzzle, you must use all of 1, 2, 3, 4, 5, and 6 so that the row and column have the same total.
There is more than one way to solve this puzzle.
What do we know about the number in the centre?
- It is odd
- It is even
- (Not answered)
Before you hit the SUBMIT button, here are some quick reminders:
- You will receive your score immediately, and collect your reward points.
- You might earn a new badge... if not, then maybe next week.
- Make sure you go through the solution sheet – it is massively important.
- A score of less than 50% is ok – it means you can learn lots from your mistakes.
- The next Parallelogram is next week, at 3pm on Thursday.
- Finally, if you missed any earlier Parallelograms, make sure you go back and complete them. You can still earn reward points and badges by completing missed Parallelograms.
Cheerio, Simon and Ayliean.