Parallelogram 17 • Level 3 • 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.
5.
What is the value of
- A) 0.29
- B) 0.3
- C) 0.35
- D) 0.50
- E) 0.65
10.
A square is folded exactly in half and then in half again.
Which of the following could not be the resulting shape?
- A)
- B)
- C)
- D)
- E)
15.
Take a look at these four expressions below:
- 13 + 23
- 13 + 23 + 33
- 13 + 23 + 33 + 43
- 13 + 23 + 33 + 43 + 53
How many of these are perfect squares?
- A) 0
- B) 1
- C) 2
- D) 3
- E) 4
20.
A cyclic quadrilateral has all four vertices on the circumference of a circle. Brahmagupta (598–670AD) gave the following formula for the area,
where
What is the area of the cyclic quadrilateral with sides of length 4 cm, 5 cm, 7 cm and 10 cm?
- A) 6 cm2
- B) 13 cm2
- C) 26 cm2
- D) 30 cm2
- E) 36 cm2
25.
Beatrix places dominoes on a 5 × 5 board, either horizontally or vertically, so that each domino covers two small squares.
She stops when she cannot place another domino, as in the example shown in the diagram.
When Beatrix stops, what is the largest possible number of squares that may be still uncovered?
- A) 4
- B) 5
- C) 6
- D) 7
- E) 8
26. Maths Jokes
Can you match the mathematical joke to the correct punchline?
- Punchline A: Do you know what the square root of 81 is?
- Punchline B: Numbers that aren’t divisible by two.
- Punchline C: Sir Cumference. How did he get so round? He ate too many π’s.
26.1 Do you know what seems odd to me?
- Punchline A
- Punchline B
- Punchline C
26.2 Who was the roundest knight at King Arthur’s table?
- Punchline A
- Punchline B
- Punchline C
26.3 What math problem do German students have trouble answering?
- Punchline A
- Punchline B
- Punchline C
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 will appear on Thursday 6 January, at 3pm.
- 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.