## How is the Junior Maths Challenge marked?

Scoring rules for the Junior Mathematical Challenge are as follows: 5 marks are awarded for each correct answer to questions 1 – 15. 6 marks are awarded for each correct answer to questions 16 – 25. In the Junior Mathematical Challenge you will NOT lose marks for getting questions wrong.

## How is the UKMT scored?

All candidates start with 25 marks, each correct answer is awarded 4 marks and 1 mark is deducted for each incorrect answer. This gives a score between 0 and 125 marks. Unlike the JMC and IMC, the top 60% get one of the three certificates.

**What is the smallest 10 digit positive integer with 10 different digits?**

So the required number is 1023. 1.1 What is the smallest ten-digit positive integer which has ten different digits? Solution: C We obtain half of 1.01 by dividing 1.01 by 2.

**How many digits are there in the correct answer to the calculation 123 123 123 123 123?**

10 digits

123 123 123 123 ÷ 123 = 1 001 001 001. We see that there are 10 digits in this answer.

### What is UKMT kangaroo?

The Junior Kangaroo is a follow-on round to the Junior Mathematical Challenge. It is a 60-minute, multiple-choice Challenge consisting of 25 problems. We invite several thousand UK-based students from the Junior Mathematical Challenge to take part in the Junior Kangaroo.

### How do I prepare for the Junior Maths Challenge?

One great way for students to prepare for Challenge is to look at questions and papers from previous Junior Maths Challenges. This is one way for teachers to help their students to think in a more mathematical fashion, getting them in the right frame of mind to solve the Challenge’s questions.

**How can I do well in UKMT?**

Do past papers, do kangaroo papers, do some Olympiad papers, do some of the senior papers, even do some junior papers… practice as much problem solving as you can. Make sure you thoroughly understand the questions you’ve got wrong on previous papers, and redo papers to make sure you remember what to do.

**How long does it take to get UKMT results?**

Results and certificates should be available on your Challenges Profile within 2-3 weeks after the Challenge has closed, however there can be unforeseen delays, so please wait for us to contact you about your results.

#### How many cells are lit in a bold O?

24 cells

So, in total, 24 cells are lit in a bold ‘o’.

#### What is the greatest 1 digit number?

9

The smallest one-digit number is 1 and the largest one-digit number is 9.

**How can I always get 1089?**

The mystery is this: first, take any three digit number, where the first and last digits differ by two or more and reverse the number to produce a new one. Then subtract the smaller from the larger producing another new number. If you reverse this number and this time add the two, the result will always be 1089.

**What is the UKMT Maths Challenge?**

The papers are produced by the UK Mathematics Trust (UKMT), a registered charity and designed to stimulate and cultivate interest in mathematics and a love of solving problems. In this challenge students answer 25 multiple-choice questions only that require the application of mathematical reasoning and problem solving. Test duration is 60 minutes.

## What is the purpose of the UKMT mathematics papers?

These papers are designed to stimulate and cultivate interest in mathematics and a love of problem solving. All papers are produced by the UK Mathematics Trust (UKMT), a registered charity.

## How many multiple choice questions are there in the Maths Challenge?

In this challenge students are required to apply mathematical reasoning, along side basic mathematical techniques to answer 25 multiple-choice questions only. Duration: 60 minutes Questions 1 – 15 you will recieve 5 marks per correct answer.

**What are the junior ukmc past papers?**

These Junior UKMC past papers are aimed at students in year 8 and below. The papers are produced by the UK Mathematics Trust (UKMT), a registered charity and designed to stimulate and cultivate interest in mathematics and a love of solving problems.