## This Week’s Maths Wizard Problem…

**Hello young Maths Wizards!**

**I hope you are all keeping safe and washing your hands!**

**Did you manage to answer my maths questions last week? Here are this week’s wizarding questions for you. Check back later in the week when we hope to be adding a special bonus question, which may just be a little more tricky!**

**Click on my wand to see this week’s questions and don’t forget to check**** the answer page to see last week’s answers and how to work them out.**

**Good Luck!**

**30 March 2020**

**Here are this week’s questions:**

**1. The mean Maths test score of 30 pupils was 73. If the total score of 29 of the pupils was 2126, what was the score of the 30 ^{th} pupil?**

**2.The Maths Wizard has a chocolate making machine which makes 10 chocolates per minute. After a particularly hard day solving puzzles, the Maths Wizard eats chocolates at a rate of 20 per minute. He has 100 chocolates ready at the start. If he eats all the chocolates, approximately how long (in minutes) before he runs out?**

**Here are the answers to last week’s conundrums:**

**1) ****A × B = CD D × B = B B × B = EF**

**These three multiplication facts are written in code. Each letter stands for the same digit all the time and different letters stand for different digits. Neither E nor C is zero.**

**What does B stand for?**

**Answer: 7**

**2) How many different ways are there of arranging the letters in the word WIZARD?**

**Answer: 720**

**Well done if you got these answers right!**

**Well done if you worked out the correct answers. I’m sorry the leaderboard was not updated last week, but come back Tuesday afternoon and see the results from two weeks of maths wizard challenges. **

### Year 4 Leaderboard

### Year 5 Leaderboard

### Year6 leaderboard

**17 March 2020**

**Congratulations to our winners and runner’s up from Autumn Term 2019**

and “Well Done” to everyone who joined in and tackled our tricky maths wizard challenges each week

## Year 4

## Year 5

Year 6

**1.**** ****The Maths Wizard travelled from Nairobi to Mombasa by train. The journey took 13 hours and 15 minutes. The average speed was 40 km/h.**

**Work out the distance from Nairobi to Mombasa in kilometres.**

**A****nswer: 530km**

**2. On a shopping trip the Maths Wizard bought 2 apples and 3 bananas for £1.85. The next day he went back to the same shop and bought 5 apples and 2 bananas for £2.70**

**How much does one banana cost?**

**Answer: 35 pence**

**3.****The mean Maths test score of 30 pupils was 73. If the total score of 29 of the pupils was 2126, what was the score of the 30th pupil?**

**Answer: 64**

**4. The Maths Wizard has a chocolate making machine which makes 10 chocolates per minute. After a particularly hard day solving puzzles, the Maths Wizard eats chocolates at a rate of 20 per minute. He has 100 chocolates ready at the start. If he eats all the chocolates, approximately how long (in minutes) before he runs out?**

**Answer: 10 minutes**

**5**. **The Maths Wizard’s cat, Mu, eats exactly three tins of food every four days. The Maths Wizard is going away for two weeks. What is the smallest number of tins of food he must leave for the cat sitter to give to Mu?**

*Answer: 11*

**6.From the Maths Wizard’s window, he can see a playground with dogs and people. There are 40 ears and 66 legs.
How many people in the playground?
**

*Answer: 7*