### Monday 18^{th} November sees the launch of Bracken Leas Maths Week 2019!

#### It is set to be a fantastic week, with lots of exciting activities designed to inspire and engage *all* our young mathematicians. You’ll be hearing about our daily ‘Hot’, Spicy’ and ‘Scorchio’ maths problems, cross-curricular maths links in ways you could never imagine, a whole school homework task, KS2 inter-house maths competition finale and much much more.

*all*

Watch out for the parent **Daily Maths Problems** posted here on the school website. Answers will be revealed the following day…

## All Problems & Solutions from Maths Week

__Day 1__

__Day 1__

__Question 1__

Find the number that completes the following sequence:

1 4 9 16 ? 36 49

__Question 2__

If you reverse the digits of my age, you have the age of my daughter. A year ago, I was twice her age. How old are we both now?

### Answers will be published tomorrow…

### Solutions to Day 1 Problems

Q1) 1 4 9 16 **25** 36 49

The numbers are the squares of 1, 2, 3, 4, 5, 6 and 7.

Q2) My daughter is 37 and I am 73.

__Day 2__

__Day 2__

__Question 1__

A mile long train is moving at 60 miles per hour when it reaches a mile-long tunnel. How long does it take for the entire train to pass through the tunnel?

__Question 2__

Five football teams competed in a tournament where they faced each other exactly once. The teams received 2 points for a win and 1 point for a draw. After the tournament the points table looked like this…

- Man United 6
- Barcelona 5
- Bayern Munich 4
- AC Milan 2
- Real Madrid ?

How many points did Real Madrid end up with?

### Solutions to Day 2 Problems

Q1) For the train to pass completely through the tunnel, it must travel 2 miles.

After travelling 1 mile, the train would be completely in the tunnel, and after another mile it would be completely out. The train is travelling at 1 mile per minute.

Q2) Real Madrid ended up with 3 points.

There were a total of 10 matches. After every match, 2 points were distributed between the two teams.

Therefore 10 x 2 = 20 points is the sum of all the teams’ points.

6 + 5 + 4 + 2 + ? = 20

? = 3

__Day 3__

__Day 3__

__Question 1__

Using only addition, how do you add eight 8’s and get the number 1000?

__Question 2__

What number do you get when you multiply all of the numbers on a telephone’s number pad?

### Solution to Day 3 Problems

Q1) 888 + 88 + 8 + 8 + 8 = 1000

Q2) 0 (Zero). All numbers which are multiplied by zero equal zero

__Day 4__

__Day 4__

__Question 1__

Which mathematical symbol can be placed between 5 and 9, to get a number greater than 5 and smaller than 9?

__Question 2__

Dave asked his Grandma how old she was. She said “I have six children and there are four years between each one. I had my first child at 19. Now my youngest is 19.”

How old is Dave’s Grandma?

### Answers will be published tomorrow.

**Solutions to Day 4 Problems**

__Question 1__

Which mathematical symbol can be placed between 5 and 9, to get a number greater than 5 and smaller than 9?

**A decimal point. 5.9**

__Question 2__

Dave asked his Grandma how old she was. She said “I have six children and there are four years between each one. I had my first child at 19. Now my youngest is 19.”

How old is Dave’s Grandma?

**She is 58 years old.**

1st child was born when she was 19.

2nd child was born when she was 23 (19 + 4).

3rd child was born when she was 27 (23 + 4).

4th child was born when she was 31 (27 + 4).

5th child was born when she was 35 (31 + 4).

6th child was born when she was 39 (35 + 4).

The sixth child is 19 so Grandma is 58.