Parallelogram 17 • Level 2 • 26 Dec 2024Chrismaths - Part 4
Noun: Parallelogram Pronunciation: /ˌparəˈlɛləɡram/
- a portmanteau word combining parallel and telegram. A message sent each week by the Parallel Project to bright young mathematicians.
It’s the end of Christmaths, so here is your last instalment of your Christmaths maths challenge paper!
Simon.
PS: I want to say thank you to the UK Mathematics Trust, who own the copyright to these questions.
1.
In this partly completed pyramid, each rectangle is to be filled with the sum of the two numbers in the rectangles immediately below it.
What number should replace
- A) 3
- B) 4
- C) 5
- D) 7
- E) 12
2.
According to a newspaper report, “A 63-year-old man has rowed around the world without leaving his living room.”
He clocked up 25,048 miles on a rowing machine that he received for his 50th birthday.
Roughly how many miles per year has he rowed since he was given the machine?
- A) 200
- B) 500
- C) 1,000
- D) 2,000
- E) 4,000
3.
Digits on a calculator are expressed by a number of horizontal and vertical illuminated bars. The digits and the bars which represent them are shown in the diagram.
How many digits are both prime and represented by a prime number of illuminated bars?
- A) 0
- B) 1
- C) 2
- D) 3
- E) 4
4.
One of the following cubes is the smallest cube that can be written as the sum of three positive cubes.
Which is it?
- A) 27
- B) 64
- C) 125
- D) 216
- E) 512
5.
A palindromic number is a number which reads the same when the order of its digits is reversed.
What is the difference between the largest and smallest five-digit palindromic numbers that are both multiples of 45?
- A) 9,180
- B) 9,090
- C) 9,000
- D) 8,910
- E) 8,190
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.