Mathematical Association

First Mathematics Challenge

The First Mathematics Challenge (FMC) has been specifically created to give all pupils, UK and worldwide aged between 7-9, the opportunity to take part in a fun Mathematical Challenge.

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Boundaries
Instructions
Problems

Which calculation gives the greatest total?

2023

How many 2cm cubes are needed to build a tower 16 cm high?

2023

Bertha Day invited 12 friends to her birthday party. Party hats are sold in packs of 5. If she gives each friend one hat, how many packs does she need to buy?

2023

Zap writes down every whole number between 1 and 40. How many times will he write the digit 3?

2023

A magic shop sells packs of playing cards for £1.20 each. This week there is a special offer ‘Buy one pack of cards and get a second pack half price.’ Abby Cadabra buys 2 packs. How much do they cost altogether?

2023

Which of these numbers can be divided exactly by 5, 3 and 2?

2023

Eight identical squares have been used to make this shape. What fraction of the whole shape is shaded?

2023

What number replaces the question mark to make the calculation correct?

2023

A bowl of fruit contains only apples, oranges, pears and bananas. Half of the fruit are apples. There are 2 oranges, 1 pear and 6 bananas. How many pieces of fruit are there in the bowl altogether?

2023

When this multiplication grid has been completed, how many answers will be an even number?

2023

A four digit code has to be entered into this keypad to open the door to a safe. There are four rules: • The code must be an even number • There must be at least one digit from each row • There must be at least one digit from each column • When you add the digits together it makes an even number Which code is correct?

2023

Twelve cards are numbered 1 to 12. Amir sorts these cards into pairs. Each pair adds to the same total. Which number must be paired with 3?

2023

Ellie must be ready for her football match which kicks off at 8.45 a.m. It takes Ellie 15 minutes to get up and change into her football kit. Breakfast takes 20 minutes. The football pitch is a five minute walk from her home. The team has to warm up for seven minutes before the kick off. To be on time for kick off, which of these times must Ellie wake up?

2023

The value of each shape is a positive, single digit. What is the value of the triangle ?

2023

Rebecca Violet loves drinking grape juice. When her glass is full, the total mass is 450g. After drinking half of it, the total mass is 360g. What is the mass of just her glass?

2023

Which calculation has an odd number as an answer?

2023

A shop sells toy monsters in three colours, blue, pink and yellow. The blue and the pink monster together cost £5. The pink and the yellow monster together cost £8 The yellow and the blue monster together cost £9 How much does it cost to buy one monster of each colour?

2023

The length of this rectangle is double its width. The perimeter of the rectangle is 48cm. What is the length of the rectangle?

2023

Five friends, Aye, Bea, Cee, Dea and Eeh have a race.

Aye finishes in front of Cee

Dea finishes two places in front of Aye

Bea finishes just behind Cee

In which place did Aye finish?

2023

Leo is 12 years old, and his cousin Polly is three times his age. How old will Polly be when Leo is twice as old as he is now?

2023

Get ready for olympiads with free problems, extracurricular topics and our courses

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Where do you hold your classes?
We hold our classes online or on-site on Saturdays at our branch in Pimlico Academy, London.
You can find our timetable here.
What do you need to start learning online?
For lessons you only need a computer or phone with a microphone, camera and Internet access. Wherever you are - in London, Nottingham, New York or Bali - online lessons will be at hand.
When can I take the introductory lesson?
You can get acquainted with the school at any time convenient for you. To do this, just leave a request and sign up for a lesson.
I can't attend class, what should I do?
It is OK, it happens! Students have the opportunity to cancel a lesson up to 8 hours before the scheduled time without loss of payment. So you can reschedule it for a convenient time, and the teacher will have the opportunity to
I don't have much free time, will I have time to study?
Learning can take place at your own pace. We will select a convenient schedule and at any time we will help you change the schedule, take a break or adjust the program.
How long is one lesson?
All classes last 1 hour.

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Come say hello at our office HQ.
84 Eccleston Square, Pimlico, London SW1V 1NP, UK

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