### Monday 18th 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.

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

### 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?

### 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.

### 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

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

### 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

### 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?

### 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.