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.

Bitesize Daily lessons
Maths
BBC Teach