Educational worksheet library
Practise modelling and verification in High School problems. Choose contexts that require defining unknowns, justifying relationships and checking units.
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Collections of contextualised math word problems on ready-to-print worksheets.
A digital image is 2,400 pixels wide and 1,800 pixels high. Its width and height are each reduced by 20%, and then both new dimensions are reduced by a further 20%. How many pixels does the final image contain?
Collections of contextualised math word problems on ready-to-print worksheets.
A robot travels along two straight sections, making a right-angle turn between them. It covers 17 metres in total and finishes 13 metres from its starting point in a straight line. How long is the shorter section?
Collections of contextualised math word problems on ready-to-print worksheets.
A well-stirred mixture contains 8 litres of diluted paint, 25% of which is concentrate by volume. Two litres are removed and replaced with 2 litres of water. Assuming the volumes add directly, what percentage of the fin…
Collections of contextualised math word problems on ready-to-print worksheets.
A rectangular garden has an area of 84 m². Its length is 5 m greater than its width. What is the width of the garden?
Collections of contextualised math word problems on ready-to-print worksheets.
A gardener needs exactly 36 kg of compost. Supplier A sells it for £1.80 per kilogram with free delivery. Supplier B sells 12 kg bags for £18 each and charges £6 delivery per order. How much less does the required compo…
Collections of contextualised math word problems on ready-to-print worksheets.
Studio A charges a £48 booking fee plus £12 per hour. Studio B charges £20 plus £16 per hour. For what booking duration would the two studios charge the same total amount?
Collections of contextualised math word problems on ready-to-print worksheets.
A printing order is quoted at £480. A 20% discount is applied first, followed by a further 10% discount on the reduced price. Delivery costs £18 and is added afterwards. What is the total amount payable?
Collections of contextualised math word problems on ready-to-print worksheets.
A youth club must take 18 members to a museum, where entry costs £6 per person. It may hire a minibus for £84 or buy an individual travel-and-entry package costing £11 per member. Which of these two permitted options is…
Collections of contextualised math word problems on ready-to-print worksheets.
A community hall charges £18 for booking plus £6 per attendee; if organisers paid £90, how many attendees were included?
Collections of contextualised math word problems on ready-to-print worksheets.
Seven pupils can enter a museum using only one of three booking options. These options are seven individual tickets at £8.40 each, one five-person pass at £31 plus two individual tickets, or two passes. Which of these p…
