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Maths Challenges from BBC Bitesize

15th May 2020

Friday is maths challenge day. Can you solve the problems below?

Challenge 1

Eric bakes these two trays of muffins.

Two baking trays each containing 6 muffins.

He eats 2 muffins.

His dad eats 3 muffins.

His sister eats 4 muffins.

How many muffins does he have left?

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Challenge 2

Lola buys this key ring.

A key ring with a price tag of 20 pence.

Her mum gives a quarter of the money.

She pays for the rest herself.

How much does she pay herself?

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Challenge 3

A teacher has three clues to determine his age; Clue 1 - This year my age is a multiple of 4; Clue 2 - Next year my age will be a multiple of 5; Clue 3 - I'm older than 18 but younger than 42.

How old is the teacher?

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Challenge 4

Ten trees are planted in a row.

10 trees.

The trees are spaced out equally.

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

An arrow labelled with 8 metres to show the distance between the fourth, fifth and sixth trees.

What is the distance between the first and last tree?

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Challenge 5

Filip has these five digit cards.

From left to right the cards are: 2, 3, 5, 7, 8.

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 .

A two-row stacked sum equalling 15,741 with three blank spaces on the top row and two blank spaces on the bottom row, which are multiplied together.

What are the two numbers Filip makes?

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Challenge 6

Here are two identical rectangles.

The rectangle closest to the y-axis has two labelled points on the side furthest from the x-axis with coordinates, A (3, 10) and B (9, 10); coordinate C is on the other rectangle's corner furthest from the y-axis and nearest to the x-axis.  

The length of each rectangle is double its width.

Work out the coordinates of point C.