Welcome to this, the second of our Medium level Eleven Plus maths quizzes on Solving Problems. Solving Problems is something you will have to do, not only in your lessons and exams, but also in real life situations. The more you practice your skills, then the easier you will find the answers.
Imagine that you are planning to walk from Land's End to John o' Groats, a distance of 874 miles. If you want to know how long it will like you, you will need to divide 874 (the distance in miles) by the number of miles you can walk in one day (let’s say 30 miles).
874 ÷ 30 = 29.133 days.
Unusually, you would have to round this answer up, rather than down. That’s because even a small part of a day is still an extra day. So, your journey from Land's End to John o' Groats will take you a total of 30 days.















First we need to know how many minutes there are in 8 hours. We find this out by multiplying 8 by 60 (the number of minutes in one hour):
8 x 60 = 480 Next we need to find out how many circuit boards the machine can make in 480 minutes. First we find out how many lots of 2 minutes are in 480 minutes by dividing by 2: 480 ÷ 2 = 240 If the machine can make 40 circuit boards in each 2minute period then we multiply 240 by 40 to get the answer: 240 x 40 = 9,600 

If 400 bricks weigh one tonne, then one brick weighs 1,000 (the number of kg in one tonne) ÷ 400 (the number of bricks).
1,000 ÷ 400 = 2.5 
The number of jars required = 3,000 (the number of bonbons) divided by 352 (the number of bonbons which will fit inside one jar):
3,000 ÷ 352 = 8.523 Be careful here – jars cannot be cut into pieces! The sweetshop owner will need 9 jars in total – 8 jars won’t be enough 

To find out how many miles one would have to travel per day, we must divide 24,000 (the total distance) by 80 (the total number of days):
24,000 ÷ 80 = 300 miles per day! 
To find out the distance travelled, we multiply 150 (the wheel’s circumference) by 2,000 (the number of revolutions):
150 x 2,000 = 300,000 cm Next, we want to convert 300,000 cm to km. We do this by dividing 300,000 (the number of cm travelled) by 100,000 (the number of cm in one km): 300,000 ÷ 100,000 = 3 

First of all, do not be put off by the measurements being in feet. It doesn’t matter which units are involved – the calculations will be the same.
The length and width of the room are the same because the sides of a square are the same. You need to find a number which when multiplied with itself gives 81 because area = length × width: 9 x 9 = 81 
The Burj Khalifa is 5.237 times taller than Blackpool Tower, so to find its height we multiply 158.1 (the height of Blackpool Tower) by 5.237:
158.1 x 5.237 = 827.9697 This is 3.03 cm short of 828 metres, so we round it up 

To work this one out, first find the distance travelled by one car:
74 (average number of miles per hour) x 3 (number of hours): 74 x 3 = 222 There were 6 cars in all so to find the answer we need to multiply 222 (the distance travelled by one car) by 6 (the number of cars): 222 x 6 = 1,332 
First we need to know how many lots of 20 minutes there are in 2 hours. There are 60 minutes in one hour so there are three lots of 20 minutes in one hour (60 ÷ 20 = 3).
If there are 3 lots of 20 minutes in one hour, then there are 6 of them in 2 hours (3 x 2 = 6). Now we need to double 2 (the original number of bacteria) 6 times: First doubling: 2 x 2 = 4 Second doubling: 4 x 2 = 8 Third doubling: 8 x 2 = 16 Fourth doubling: 16 x 2 = 32 Fifth doubling: 32 x 2 = 64 Sixth doubling: 64 x 2 = 128 
3,640 ÷ 7 = 520. That’s very nearly 10 years