Mathematics
Intermediate Mathematical Challenge
2024
20

20

A shop sign says, “T-shirts. Three for the price of two. Equivalent to a saving of £5.50 on each T-shirt.”

Using this special offer, what is the cost of three T-shirts?

A. £16.50 B. £22 C. £31 D. £33 E. £49.50

Answer

D. £33

SOLUTIOn

Let the full price of a T-shirt be £t. Then the difference between the full price of three T-shirts and the price when you buy three for the price of two is £3t − £2t = £t. Since this is equivalent to a saving of £5.50 on each of the three T-shirts, £t = 3 × £5.50 = £16.50.Using the special offer, the amount you pay for three T-shirts is the full price of two T-shirts, that is, 2 × £16.50 = £33.

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We hold our classes online or on-site on Saturdays at our branch in Pimlico Academy, London.
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What do you need to start learning online?
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What should I expect from the trial lesson?
The trial lesson is a 30-minute online session designed to get a sense of how your child approaches mathematical thinking and problem solving. (In practice, it often runs a bit longer if the student is engaged!)

We typically explore a range of fun and challenging problems drawn from competitions. We adapt the difficulty based on how the student responds, aiming to make it both accessible and stimulating.

After the session, we’ll have a quick conversation with the parent to share observations and suggest a personalised path forward.
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