Units of Measurement - Short Problems

A collection of short Stage 3 and 4 problems on units of measurement



Wiggly Conversions

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 42 - 2011
Four wiggles equal three woggles. Two woggles equal five waggles. Six waggles equal one wuggle. Using these, can you work out which of four values is the smallest?

Sense of Direction

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 5 - 2012
Can you work out the direction of Abbots Morton from Wyre Piddle?

Tummy Ache

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 6 - 2012
Timmy, Tammy and Tommy all go to the doctors. In what order do they arrive at the surgery?

Bike Shop

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 8 - 2013
If I walk to the bike shop, but then cycle back, what is my average speed?

Millenium Leap

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 18 - 2012
How many leap years will there be between 2001 and 3001?

Caught in the Web

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 20 - 2012
Can you estimate the mass of insects caught by spiders in the UK each year?

Three of a Kind

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 16 - 2013
How long is it between 5:55 and the next time all three digits on a digital clock are the same?

Decimal Clock

Stage: 2 and 3 Short Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 51 - 2013
A decimal clock is started at midnight. What time would it show at 6 o'clock in the morning?

Weekly Problem 30 - 2008

Stage: 3 Short Challenge Level: Challenge Level:1

How many minutes are there between 11.41 and 14.02?

Roman Distances

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 9 - 2009
Marcus' atrium was a square with each side 50 pedes long. How many times did Marcus have to walk round his atrium to complete his daily exercise of 8 stadia?

Refuelling

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 12 - 2009
A car can go r miles on s gallons of petrol. How many gallons of petrol would it need for a journey of t miles?

Thunder and Lightning

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 20 - 2009
How far away was the lightning if the flash and the thunderclap were 6 seconds apart?

Weekly Problem 28 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

How much does u litres of unleaded cost in terms of the cost per litre of 4 star petrol?

Walking in the Mountains

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 5 - 2010
Heidi and Peter are walking through the mountains. They pass two signs which say how far away their destination is, so can you work out how long it will take them to get there?

Race Time!

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 9 - 2010
Frank and Gabriel competed in a 200m race. Interpret the different units used for their times to work out who won.

Don't Be Late

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 31 - 2010
Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.

Overtake

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Weekly Problem 19 - 2011
Tom and Tim are travelling towards Glasgow, but leave at different times. If Tim overtakes Tom, how fast is he travelling?

Hiking the Hill

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 22 - 2011
Sarah's average speed for a journey was 2 mph, and her return average speed was 4 mph. What is her average speed for the whole journey?

London Eye

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 18 - 2014
The 80 spokes of the giant wheel The London Eye are made from 4 miles of cable. What is the approximate circumference of the wheel?

Dean's Mountain

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Weekly Problem 20 - 2016
Dean runs up a mountain road at 8 km per hour. It takes him one hour to get to the top. He runs down the same mountain at 12 km per hour. How long does it take him to run down the mountain?

Travelling by Train

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 27 - 2016
Stephen leaves Middlesborough by train at 09:00. The train travels the first 27km at 96km/h. It then stops at Darlington for 3 minutes, before travelling the remaining 29km to Durham at 96km/h. At what time does Stephen arrive at Durham?

Hillwalking

Stage: 3 and 4 Short Challenge Level: Challenge Level:2 Challenge Level:2

Weekly Problem 40 - 2016
Andrew walks along a flat path, then up and down a hill, then back along the path. Is it possible to work out how far he has walked?

Very Long Line

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 46 - 2016
If the line on the right were 0.2mm thick, how long would it need to be to cover an area of one square metre?

50, 50, 50 and 50

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 16 - 2017
Aroon says his age is 50 years, 50 months, 50 weeks and 50 days old. What age will he be on his next birthday?

Travelator

Stage: 3 Short Challenge Level: Challenge Level:1

Weekly Problem 25 - 2017
At the airport, the walkway moves with a speed of 4km/h and is 500m long. If Andrew walks with a speed of 6km/h and Bill stands still, how much ahead of Bill is Andrew when he finishes?