# Week 6 - Challenges for Year 9 and S3

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

Sal has 20 beads.

She uses some beads to make these two necklaces.

How many beads does she have left?

# Challenge 2

George is thinking of a 2 digit number.

What number is George thinking of?

# Challenge 3

Two numbers, A and B, are marked on the number lines.

Find the sum of A and B.

# Challenge 4

Max buys a shirt and a jacket.

The jacket costs £25 more than the shirt.

The total cost of the shirt and jacket is £87.

How much does each item cost?

# Challenge 5

The mass of 1 cube and 4 cones is 110 g.

The mass of 1 cube and 2 cones is 72 g.

What is the mass of 1 cube?

# Challenge 6

A plank of wood is 4.6 metres long.

These three lengths of wood are cut from the plank.

What is the length of the wood left?

# Challenge 7

A factory makes these wooden cubes.

They are packed into large boxes.

How many wooden cubes can be packed into one large box?

# Challenge 8

Amrit, Beth and Caroline sell cookies.

Amrit sells ¹/₆ of the cookies.

Beth sells 30% of the remaining cookies. Beth sells 12 cookies.

Caroline sells the rest.

How many cookies do they sell altogether?

# Challenge 9

¹/₂ of the length of rope A is equal to ³/₅ of the length of rope B.

Rope A is 42 cm longer than rope B.

How long is rope A?

# Challenge 10

A blue square is placed inside a large yellow square.

The centre of the squares are aligned one over the other.

The area of the blue square is 36% of the area of the yellow square.

Find the distance marked *y*.

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 10**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** - 5 beads

**Challenge 2** - 45

**Challenge 3** - 482

**Challenge 4** - Jacket £56 and Shirt £31

**Challenge 5** - 34 g

**Challenge 6** - 0.64 m, 64 cm or 640 mm

**Challenge 7** - 180 cubes

**Challenge 8** - 48 cookies

**Challenge 9** - 252 cm

**Challenge 10** - 1.3 cm

# There's more to learn

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