# Week 4 - Challenges for Year 8 and S2

Friday is challenge day on Bitesize Daily!

We've partnered with White Rose Maths to create a series of challenges to test your problem-solving skills. Each one gets a bit more difficult, so see how many you and your family can do together!

Let us know how you're getting on @bbcbitesize and @White Rose Maths with the hashtag #BitesizeChallenge.

# Challenge 1

Eric bakes these two trays of muffins.

He eats 2 muffins.

His dad eats 3 muffins.

His sister eats 4 muffins.

How many muffins does he have left?

# Challenge 2

Lola buys this key ring.

Her mum gives a quarter of the money.

She pays for the rest herself.

How much does she pay herself?

# Challenge 3

How old is the teacher?

# Challenge 4

Ten trees are planted in a row.

The trees are spaced out equally.

The distance between the fourth and sixth tree is 8 metres.

What is the distance between the first and last tree?

# Challenge 5

Filip has these five digit cards.

He uses all of the cards to make a three-digit number and a two-digit number.

He multiplies the two numbers together and the answer is 15,741.

What are the two numbers Filip makes?

# Challenge 6

Here are two identical rectangles.

The length of each rectangle is double its width.

Work out the coordinates of point C.

# Challenge 7

A college has a vending machine that only sells crisps.

Crisps cost 55p per bag.

The table shows the amount of different coins taken in one day.

How many bags of crisps were sold?

# Challenge 8

Here are three boxes.

Each box contains 60 counters.

The same number of counters are moved from box 1 and box 2 into box 3.

70% of the counters are now in box 3.

How many counters were moved from box 2 to box 3?

# Challenge 9

Annie has some 10p, 20p and 50p coins in her money box.

In total she has £54 in her money box.

How many 20p coins does she have?

As a rough guide of difficulty level:

**Challenge 1 and 2**are suitable for ages 5 to 7.**Challenge 3 to 6**are suitable for ages 7 to 11.**Challenge 7 to 9**are suitable for ages 11 to 15.

We want everyone to get involved with challenge day, so work together to solve as many as you can and share your solutions!

# Answers

**Challenge 1** - 3 muffins

**Challenge 2** - 15 pence

**Challenge 3** - 24-years-old

**Challenge 4** - 36 metres

**Challenge 5** - 583 and 27

**Challenge 6** - (15, 4)

**Challenge 7** - 85 bags of crisps

**Challenge 8** - 33 counters

**Challenge 9** - There are 54 20p coins

# There's more to learn

Have a look at these other resources around the BBC and the web.