Created by The Mathematical Association, the Primary Mathematics Challenge (PMC) is a fun and exciting mathematical challenge.
The PMC is not designed to be just another test in the school year. We are of the belief that the PMC encourages enthusiasm, boosts confidence in mathematics and shows the different way questions can be asked. We believe in the importance of problem solving as a means of helping pupils develop their reasoning skills.
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It costs 20p to charge my electric scooter which can then travel 25 miles. How much would it cost if this scooter travelled 100 miles?
Tilly the cat and her 4 kittens each eat 3 cat treats every day.How many treats altogether do they eat in one day?
Chippy the seagull is flying east. Sadly, he is knocked by another seagull which spins him 180° clockwise.
What direction is Chippy now facing?
Ringa Bell takes 20 minutes to cycle to school, which is a mile from her home. What is her average cycling speed?
This shape, called a sphinx, is made of equilateral triangles, all the same size. How many of these triangles are needed to make this sphinx?
A Pet Rescue Home has the same number of parrots, cats and dogs.When the owner of the home looks at all of her pets, she can see 30 legs.How many cats are there?
The spider and the slug love each other. They are 44 cm apart. The spider runstowards the slug at 7 cm/sec and the slug slides towards the spider at 4 cm/sec.How long is it before they meet?
My maths teacher Addum Kwickly has 18 socks (9 pairs of socks).He puts on clean socks every three days.How many days can he wear these socks before he has to wash them all?
In the figure below, the triangles are all equilateral. The dotted line is 12 cm long. How long in total is the zigzag line?
Choco Holic likes packets of Nibletts. Which offer gives him the cheapest Nibletts?
In this car park problem, cars can only go forwards and backwards. What is the smallest number of cars that I have to move before I can drive my car straight out of the car park?
The digits of the year 2022 total 6. How many years will it be until this happens again?
A snack bar contains 7.5 g of sugar. It is recommended that children aged 10 have at most 24 g of sugar daily.
How many of these snack bars could you eat and not exceed this limit?
Dr B Ching says that a train travelling at an average speed of 50 mph can complete a journey in 3 hours. How long will it take a high-speed train travelling at an average speed of 150 mph to complete the same journey?
Mrs Cox has an apple orchard and enjoys sorting out her apples. She can either put all her apples into bags of 4 with no apples left over, or she can put all her apples into bags of 5, with no apples left over. Which of the following could be the number of apples she has?
The diagram shows a plan of two adjoining rooms.
Some of the lengths and the areas are given. What is the perimeter of the combined shape?
The average person can hold their breath for 30 seconds, but the world record belongs to Budimir Šobat who held his breath for 24 minutes and 37.36 seconds. How long in seconds is this, when rounded to the nearest second?
Manjeet is making a photo frame out of one long piece of wood to hold four square photos, as shown.
The four squares for the photos each measure 15 cm by 15 cm and the piece of wood is 2 cm wide. What is the total length of wood that Manjeet will use?
In a class, 75% of the children like netball. 60% of the children who like netball also like tennis. What percentage of the children like both netball and tennis?
Penny is pretty pleased with the pattern she has produced by placing regular pentagons next to each other. Tristan points out that there are acute angles between the outer pentagons. What is the size of these acute angles?
The rectangle ABCD measures 14 x 7cm. There are two identical sized circles which just touch the sides of the rectangle and the other circle. There is a diagonal BD. What is the total area of the shaded part in the diagram?
Our goal at this course is to enhance our students’ mathematical intuition by focusing on a deep understanding of mathematical concepts and to enable them to link different concepts and apply their knowledge to solve mathematical problems to help them to improve their performance at Maths exams.
This course guides you through the fundamentals of Python programming using an interactive Python library known as Turtle.
This course encompasses a range of Geometry topics such as coordinate and spatial geometry, introductory trigonometry, angles, parallel lines, congruent and similar triangles, polygons, circles, the Pythagorean Theorem, and more. Emphasis will be placed on reinforcing Algebra skills and enhancing critical thinking through problem-solving in both mathematical and real-world contexts.
Ask about our courses and offerings, and we will help you choose what works best for you.