Solving Problems (Year 6)
It takes 30cm of ribbon to make a bow. 6 bows can be made from a 2m long ribbon.

Solving Problems (Year 6)

Solving problems based on real life situations is a part of KS2 Maths. In Year Six children will be given problems involving large numbers and different measures such as millilitres and litres, grams and kilograms, millimetres and kilometres, and minutes and hours.

Solving problems requires either multiplication, division, addition or subtraction, and possibly all of them! In real life you'll come across problems involving weights and measures - for example, how much money something costs in pounds and pence or how much it weighs in grams and kilograms. But not all problems are about measures, some are different, like this one - If your doctor has told you to take a Vitamin C tablet every day for 3 months, how many tablets will you need to buy?

See how much you have learned in your lessons by playing this quiz about solving problems involving different measures.

There were three jugs; one held 0.75 litres, another held 400ml and the other held 350ml. How much did the jugs hold altogether?
1 litre
1.25 litres
1.5 litres
1.75 litres
To work out the answer you have to add the three amounts together. 0.75 litres is the same as 750ml so 750 + 400 + 350 = 1,500ml which is the same as 1.5 litres
At the cinema there are 42 seats in each row and 32 rows. How many seats altogether?
If there are 42 seats in every row then we multiply 42 by 32 to work out the answer
How many kilograms of sugar must be added to 2.34kg to make 6kg?
100 - 34 = 66 so we know that the answer will end in .66. If we add 0.66 to 2.34 we get 3 so we still need another 3kg
Lamb takes 50 minutes per kg to cook plus 50 minutes. How long does it take for a 2.5kg piece of lamb to cook?
1 hour 15 minutes
1 hour and 55 minutes
165 minutes
2 hours and 55 minutes
To calculate this 50 minutes x 2.5 = 125 minutes. Add another 50 minutes gives 175 minutes or 2 hours and 55 minutes
Dad is 1.83m tall. The ceiling is 28cm higher than Dad. How high is the ceiling?
There are 100cm in a metre so Dad is 183cm tall. 183 + 28 = 211 so the ceiling is 211cm tall. 211cm is the same as 2.11 metres
A car uses 1.2 litres of fuel for every 5 miles. The car has 20 litres of fuel in the tank. How much fuel will be left after the car has travelled 60 miles?
4.6 litres
5.6 litres
6.6 litres
14.6 litres
To work this one out first divide 60 by 5 which is 12. Then Multiply 12 by 1.2 which is 14.4 so the car will use up 14.4 litres of fuel if it travels 60 miles. 14.4 litres subtracted from 20 litres leaves 5.6 litres still in the tank
I think of a number and multiply it by 15. I subtract 180. The answer is 300. What was my number?
This type of question needs to go backwards. The last step was to subtract 180 so add this back 300 + 180 = 480. To get here we had to multiply by 15 so we divide by 15 to get back to our original number
Martin travelled 31.2km by car, 5.8km by bus and 0.23km on foot. How far did he travel altogether?
Adding the numbers after the decimal points will help here. 0.2 + 0.8 = 1.0 so we know that the answer will end in .23
A race lasting 3 hours and 40 minutes ended at 16:50. What time did the race start?
To work this out first take 40 minutes from 50 leaving 10. Then take 3 hours from 16 leaving 13
It takes 30cm of ribbon to make a bow. How many bows can be made from a 2m long ribbon?
200 ÷ 30 = 6 remainder 20cm. As 20cm is not long enough to make a bow, we can only make 6 bows
You can find more about this topic by visiting BBC Bitesize - Problem solving

Author:  Amanda Swift

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