Problem solving with fractions and ratios

12 questions

1. In this list of common metric units of length which one is missing? millimetre, centimetre, metre, ___.
2. 1 km = 1000 m, 1 m = 100 cm. What is 5 400 000 cm in kilometres?
3. The scale on a map is 1:5 000 000. The distance between two places on the map is 5 cm. What is the distance in real life in kilometres?
4. The scale on a map is 1:500 000. The distance between two places is 86 km. What is the distance on the map?
5. The length of a pencil is 2.5 inches. Convert this into centimetres given that 1 inch = 2.54 cm.
6. The distance between London and Manchester is 200 miles. Convert this into kilometres given that 5 miles = 8 km.
7. Fill in the missing word: Variables are in proportion if they have a ___ multiplicative relationship.
8. Select the bar model that is correctly labelled to solve this problem: Sam and Jacob share some stickers in the ratio of 3 : 7. Sam get 168 less than Jacob. How many stickers does Sam get?
9. Sam and Jacob share some stickers in the ratio of 3 : 7. Sam get 168 less than Jacob. How many stickers does Sam get?
10. The ratio of children to adults in a club is 2 : 3. If there are 26 children, how many are in the club in total?
11. A bag contains red, green and yellow sweets. 1\over4 of them are red. The rest of the sweets are either green or yellow, in the ratio 4 : 5. There are 72 sweets in the bag. How many are yellow?
12. Andeep’s older sister Belle is 3 times his age. His brother Charlie is 5\over6 of Belle's age. The total of Andeep’s and Belle’s ages is 48. How old is Charlie?

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