Parallelogram 29 • Level 2 • 20 Mar 2025Bedtime stories
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.
- When you finish, remember to hit the SUBMIT button.
- Finish by Sunday night if your whole class is doing parallelograms.
- Don’t worry if you score less than 50%, because it means you will learn something new when you check the solutions.
1.
1.1 Beth, Carolyn and George love reading their favourite bedtime stories together.
They take it in turns to read a page, always in the order Beth, then Carolyn, then George.
All twenty pages of the story are read on each occasion.
One evening, Beth is staying at Grandma's house but Carolyn and George still read the same bedtime story and take it in turns to read a page with Carolyn reading the first page.
In total, how many pages that Carolyn and George read are the same as the pages that they would read if Beth was there?
- 1
- 2
- 4
- 6
- 7
2.
2.1 Beatrix looks at the word JUNIOR in a mirror. How many of the reflected letters never look the same as the original, no matter how Beatrix holds the mirror?
- 1
- 2
- 3
- 4
- 5
3.
3.1 A solid wooden cube is painted blue on the outside.
The cube is then cut into eight smaller cubes of equal size.
What fraction of the total surface area of these new cubes is blue?
1 8 1 3 3 8 1 2 3 4
4.
4.1 How many different digits appear when
- 2
- 3
- 4
- 5
- 6
5.
5.1 In the division calculation 952,473 ÷ 18, which two adjacent digits should be swapped in order to increase the result by 100?
- 9 and 5
- 5 and 2
- 2 and 4
- 4 and 7
- 7 and 3
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.