N4 Lifeskills Homework - Four Rules with Whole Numbers
1. A golfer plays six rounds of golf. The number of shots he plays for each round is
shown below.
78 86 75 82 78 93
How many more shots, in total, did he take to play his last three rounds compared to
his first three?
2. A small bag of sand weighs 3 kg.
It has to be divided evenly between 4 buckets.
What weight of sand, in grams, should be in each bucket?
3. Joyce walks to her work and back every day.
The journey takes her, on average, 25 minutes each way.
If she works five days a week, what is her total walking time for a week
in hours and minutes?
4. A bottle contains 220ml of medicine.
(a) How many 8ml doses of medicine can you take from this bottle?
(b) How much medicine will be left in the bottle once you have taken as many 8ml doses
as you can?
5. Michael ran a charity disco at his local town hall. After the event he produced the income and
expenditure table shown below.
How much profit did Michael make for his charity from this event?
N4 Lifeskills Homework - Four Rules with Decimals
1. The bookcase shown opposite is made from
wooden boards of thickness 1×4cm.
If the clearance height between each shelf
is 21×8cm, calculate the total height, h, of
the bookcase.
2. Susan wants to put some decorative wooden edging around a small rectangular vegetable
patch she has in her garden.
Her rectangular vegetable patch measures 3×7 metres by 86 centimetres.
She buys 9×5 metres of edging.
(a) Is this enough edging to surround her vegetable patch? (you must show suitable working)
(b) If so how much edging will she have left? (answer in metres)
3. A dictionary has 14 volumes each 8×4cm thick. If they are placed side by side on a
shelf 1×7m long, what length of shelf will be left for other books? (answer in centimetres)
4. A box contains 6 identical calculators.
The total weight of the box and calculators is 531g.
If the weight of the empty box is 25×2g, calculate the weight of a single calculator.
5. A school prints its own yearly newsletter just before xmas.
The cost of running the printing machines is £5.25 per 100 copies. The cost of paper,
ink, etc., is an additional 12 pence per copy.
The newsletter is free to all parents and pupils, however, the school charges for local
companies to advertise in the newsletter.
Last year the school made £241.25 profit from the newsletter.
How much did the school receive for advertisements last
year given that it printed 750 newsletters?
N4 Lifeskills Homework - Calculations and Rounding
1. A group of 32 workers win £668 on the lottery. They decide to share the money so that each
of them receives a whole number of pounds. They decide that any money left over should go
to charity.
How much money did they give to charity?
2. A box of 6 lightbulbs costs £12.28.
Calculate the cost of one lightbulb to the nearest penny.
3. A certain brand of washing powder comes in
two different sizes as shown.
(a) Calculate the cost per kilogram of powder for each
box giving your answers to the nearest penny.
(b) Which box represents the best value for money?
4. A car uses 15 litres of petrol to travel 214 miles.
How far can it travel on one litre of petrol? Give your answer correct to 2 decimal places.
5. How many wavelengths of 0×0034mm will there be in 10mm? Give your answer to
the nearest 100.
6. An investor changes his clients £245000 investment into euros at the
rate of 1×278 euros to the pound.
(a) How many euros did he receive?
(b) Two weeks later he changed these euros back into pounds at the rate of 0×795 pounds
to the euro.
How much profit has the investor made for his client with these two transactions?
Give your answer to the nearest pound.
N4 Lifeskills Homework - Calculations Involving Fractions
1. Calculate each of the following.
(a) of 280 (b) of 32000 (c) of 140 (d) of £120
(e) of 248kg (f) of 45kg (g) of 52cm (h) of £12.60
2. A small business has 42 employees. Each year all employees must take the company
medical test. So far this year of the staff have taken the medical. How many employees
have still to sit the medical?
3. 60 people were asked to choose, after a taste test, which brand of coffee
they preferred, brand A, B or C.
preferred A, chose B and the rest chose C.
(a) How many people chose B?
(b) How many chose C?
4. In a sample of 120 butterflies it is found that of them are multi-coloured and that of
the multi-coloured butterflies are males.
How many muti-coloured male butterflies are there in this sample?
5. In a group of students were found to be left handed. If 18 students were left handed how many
right handed students were in the group?
N4 Lifeskills Homework - Calculations Involving Simple Percentages
1. Calculate each of the following.
(a) 15% of 220 (b) 50% of £4.80 (c) 20% of 40kg (d) 75% of 80p
(e) 10% of £2.60 (f) 40% of £300 (g) 70% of 20cm (h) 33% of £54
2. The White Horse Building Society pays interest of 4% per annum on savings.
How much interest will Sheila receive on savings of £600 after:
(a) 1 year; (b) 7 months?
3. In a sale everything is reduced by 15%.
How much would you pay in the sale for a mobile phone normally priced at £360?
4. A set of bluetooth speakers are priced at £28.00 + VAT.
What would you pay in total for the speakers if VAT is charged at 20%?
5. 80 people visiting a museum were asked what mode of transport they had used to
come to the museum. 15% came by bus, 25% by train and the remainder came by car.
How many of the 80 visitors came by car?
6. Mark and Jade are getting engaged.
They see a ring for Jade that they both like in a local jewellers.
How much would they save if they bought the ring by cash as opposed to paying by instalments?
N4 Lifeskills Homework - Problems Involving Percentages
1. Cal wants to buy a pair of designer sunglasses.
He saw the sign opposite in a local shop.
How much will Cal pay for a pair of sunglasses which
cost £86.50 before the sale?
2. Paul buys an antique watch for £2500 as an investment.
He is hoping it will appreciate in value by the rate of 12% per year.
What is he hoping its value might be in 2 years time?
3. Paul buys a jacket from a shop that is having a ‘15% off’ sale.
The original cost is £65 and he is charged £55.50 the checkout.
Paul believes he has been charged wrongly.
Is the sale price correct for the jacket?
Give a reason for your answer.
4. Jane buys a second hand camera online for £140.
She hopes to sell it through a different site and make at least a 20% profit.
She eventually sells the camera for £170.
Did she achieve her hoped for profit? Give a reason for your answer.
5. There are approximately 6 million people in Scotland.
Approximately 32% of these people are aged 50 or over.
Estimate the number of people in Scotland who are under the age of 50.
Give your answer correct to the nearest 100 thousand.
6. Every week a salesman is paid a basic wage of £480.
In addition he receives commission of 12% on the first £1000 of his weekly sales
and 18% on any additional sales over £1000.
Calculate: (a) his total earnings in a week where his sales totalled £840;
(b) his total earnings in a week where his sales totalled £2200.
N4 Lifeskills Homework - Problems Involving Time
1. Julie works night shift so she has to sleep during the day.
(a) She sets her alarm clock to go off at 1545. Write this as a 12-hour time.
(b) She goes to bed at 0750. How long is it until her alarm goes off?
2. A film at the cinema has a running time of 100 minutes. The film starts at 7.35 pm.
At what time does the film finish?
3. Jack is flying to Singapore on holiday.
His flight times are shown opposite.
(a) How long will he have to wait in Dubai
before his flight to Singapore?
(b) What is his total time for the entire journey from Glasgow to Singapore?
4. Barbara and Joe are going on a foreign holiday.
Their plane leaves at 0445 on Wednesday.
The journey from their house to the airport takes 1 hour and 25 minutes.
Their flight tickets state that they must check in at the airport 2 hours before their flight leaves.
What is the latest time they can leave their house?
5. Susan works a 36 hour week.
From Monday to Thursday she works from 9.00am till 5.00pm taking a
30 minute lunch break each day at 12 noon.
Her lunch breaks are not counted as part of her working hours.
At what time does she finish her work on a Friday if she starts at 9.00am and
takes her usual lunch break?
6. Two coaches per day run from Hamilton to Winchester.
They usually have the same journey time.
Unfortunately coach 2 is delayed in a traffic jam adding 55 minutes to its journey.
At what time did coach 2 arrive in Winchester?
N4 Lifeskills Homework - Speed, Distance & Time
1. Ashlyn is training to run her first marathon. One day she planned to run 30km.
She ran for hours at an average speed of 8km/h.
How far did she still have to run so that she completed the 30km?
2. The City Express bus left Edinburgh at 0735 and arrived in Glasgow at 0850.
The average speed for the journey was 60km/h.
Calculate the distance from Edinburgh to Glasgow.
3. Josh travelled from town A to town B at an average speed of 56 miles per hour.
The distance between the two towns is 210 miles.
Calculate the time taken to complete the journey.
Answer in hours and minutes.
4. The table shows the distances in miles between
well known places in Scotland.
(a) Use the table to find the distance
from Glasgow to Stranraer.
(b) David is a salesman. He travels by car
from Glasgow to Stranraer.
His journey time was 2 hours 30 minutes.
Calculate the average speed for his journey.
5. (a) The Coates family were travelling from Glasgow to Southampton to embark on a cruise.
They left Glasgow at 1020 on a Friday and travelled as far as Coventry, a distance
of 500km, at an average speed of 80km/h.
When did they arrive in Coventry?
(b) The next morning they left Coventry at 9.30 am to complete the journey to Southampton.
There were some road works so they only managed to travel at an average speed
of 74km/h and got to Southampton at 12 noon.
How far is it from Coventry to Southampton?
N4 Lifeskills Homework - Perimeter & Area
1. Carpet costs £14.80 per square metre.
(a) Calculate how much it would cost
to carpet the room shown opposite.
(b) Fixing strip for carpets costs £1.60 per metre.
Calculate the cost of the fixing strip to go
round the edge of this carpet.
2. The rectangular wooden door shown opposite has
a rectangular glass panel in it.
(a) If decorative edging strip has to be fastened
around the outside of the door and around
the glass panel, calculate the total length of
edging strip needed for the door.
(b) Calculate the surface area of the wood in
the door in square metres.
3. A man decides to paint the four inside walls of his
garage and to re-concrete the floor.
The paint costs £1.20 per square metre to apply and the
concrete £6.80 per square metre.
Calculate the total cost of his DIY.
4. The diagram below shows the shape and dimensions of a room.
(a) Calculate the perimeter of the room.
(b) Calculate the area of the room in square metres.
N4 Lifeskills Homework - Volume of a Cube & Cuboid
1. Brian is making patterns from his sister’s
building blocks.
Each cube has a side of length 4 cm.
(a) What is the total volume of the shape he has made?
(b) He rearranges the blocks to form a cuboid with
base 12cm by 16cm.
How many blocks high will the cuboid be?
2. Lesley wants to make a tank to collect rainwater to use in her garden.
She would like it to be able to hold at least 150 litres
of water when full.
Is the tank shown opposite big enough?
Show your working and give a reason for your answer.
3. Jake has 100 cube shaped building blocks of side 5 centimetres which he is trying