Q1. Write the following ratio in its simplest form:

Q2. Write the following ratio in its simplest form:

Q3. Write the following ratio in its simplest form:

Q4. Write the following ratio in its simplest form:

Q5. Write the following ratio in its simplest form: 


"2 Bank Robbers go out and hold up a security van, they managed to get away with £250,000. Bank Robber A was the "mastermind" and so he decided that he would take £150,000 of the haul, leaving Bank Robber B with the remaining £100,000. What is the ratio of the split of the stolen money between Bank Robbers A and B?"


Q6. On a map, 2 cities are shown as being a 12 cm apart on paper, in reality the cities are 96 km apart. Find the ratio of the map in distance to the true distance.


Q7. The 2 Bank Robbers in Question 5 are located not far from the scene and arrested. At the court appearance they are convicted of Robbery. Bank Robber A admits to being the mastermind and is sentenced to 14 years imprisonment. Bank Robber B receives a sentence of 5 1/2 years. What is the ratio of the sentences, in months, of the 2 Bank Robbers?


Q8. John has a bag of 42 sweets, he decides to share them with two of his friends Jane and Richard. The intention is that the sweets will be split in a ratio of 3:2:2 so that (as the provider) John gets more than his friends. If John ends up with 18 sweets, how many will Jane and Richard get ?


Q9. There is a drawer full of socks, in the ratio of 5:2:7 red, blue and yellow. What fraction of the total number of socks are red ones?


Q10. A scale model aircraft kit states that "when completed, this model will be in the scale of 5:70 compared to the actual aircraft". The model measures 80cm length when built, how long is the real aircraft in metres?


Q11. A local authority plans to build a new leisure centre. The "family friendly" swimming pool in the design model measures 25cm long, by 14cm wide and 1.2cm deep. The ratio of the model to the real pool is intended to be 1:120. 


  • (a) Calculate the volume of the model pool, in cubic centimetres.


  • (b) Calculate the dimensions of the real pool, in metres.


  • (c) Calculate the volume of the real pool, in cubic metres.


Q12. In a library section, there are 225 History Books, 125 Geography Books and 25 MFL (Modern Foreign Languages) Books. Write down, in it's simplest form, the ratio of History:Geography:MFL books.


Q13. On a School Trip, the guidelines say that there should be at least 1 adult for every 6 children for supervision and safety. If 56 children are going on the trip, what is the minimum number of adults recommended?



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