Bell Baxter High School
Mathematics Department
National 4
Added Value Revision Booklet
Non - Calculator
Section 1 Percentages
1)
2)
3)
4)
5)
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7)
2
8)
9)
10)
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12)
13)
3
14)
15)
4.
30 % of the five million people in the UK aged between 15 & 19 regularly
watch cartoons. How many people is this?
16)
3.
a) Scott sees the following
notice in the window of the
Big Computer Shop. A
computer was £834. How
much would Scott pay for it
in the sale?
17)
The Big Computer Shop
Massive Sale
1
33 % discount on all purchases
3
Gordon is insuring his car with Carins Insurance.
The basic annual premium is £765.
1
off the
5
basic annual premium. However, because he wants to pay in monthly
instalments, Carins Insurance add an extra 8% to his premium.
How much in total will Gordon pay per month?
As Gordon is a new customer his premium is calculated by taking
18)
8.
(4)
Sally invests £4200 in the platinum Savers Account which pays 6% interest
per annum. How much simple interest will she receive after 10 months?
4
19)3
Mr Burnitt received a gas bill for £142·80 plus VAT at 5 %.
Calculate:
a) the VAT
20)
21)
b)
His total bill.
There are five million people in the UK aged 15-19.
30% of these five million people regularly watch cartoons.
How many people is this?
Four friends have dinner in a restaurant.
A service charge of 15% is added to their bill.
Their bill is shown below.
One of the friends thinks the service charge has been calculated
wrongly.
Is the service charge correct? Give a reason for your answer.
RE 4
22)
23)
5
24)
25)
26)
6
Section 2 Mean
1)
2)
3)
4)
Brian checks the five day weather forecast for Paris.
Calculate the mean minimum temperature for the five day weather
forecast.
KU 3
5)
7
Fraction of Quantity
1.
There are 24 hours in a day and scientists tell us that we
should sleep for 3/8 of the day. How much time should we
spend sleeping?
2.
The National History Museum has collected 125 dinosaurs.
George has collected 3/5 of this amount. How many dinosaurs
has George collected?
3.
Mr Murrin is 160cm tall and his brother Tom is 7/8 as tall as
him. How tall is Tom?
4.
The weather forecaster says that it is 200 C in London but
only 7/10 as hot in New York. How hot is it in New York?
5.
Skateboards cost £36 each in my local store. The
shopkeeper says if I buy one I can buy another for only 7/9
of the normal price. How much would a second skateboard
cost?
6.
Billy collected 256 conkers but lost ¾ of them on his way to
school through a hole in his bag. When he arrived at school
how many conkers did Billy have left?
7.
There are 25 pupils in the class, 3/5 of the pupils support
Chelsea and the remainder support Arsenal. How many pupils
support Arsenal?
8.
The local shop normally sells Mars bars for 40 pence. The
shopkeeper says I can buy them for 1/4 less than the normal
price. How much can I buy a Mars bar for?
9.
Last year, Mr Murrin weighed 60 kg. This year he weighs 2/5
more. How much does Mr Murrin weigh this year?
10.
McDonalds sell milkshakes in two sizes. A small milkshake
contains 300ml and a large milkshake contains 2/3 more.
(i) How much does a large milkshake contain?
(ii) If Mr Murrin drinks 2/3 of a small milkshake and
Miss Hoyne 1/2 of a large milkshake who drinks
the most?
8
11)
12)
Emily is a student and she buys a
pizza from Paulo’s Pizzas. She
chooses a pizza which is
normally £8·49. How much will
Emily pay for the pizza?
Paulo’s Pizzas
Student Discount
1
off the price of each pizza
3
Section 3 Decimals
1.
a) 9·2  3·71  6·47
2)
3)
9
4)1.
Carry out the following calculation
209·3  175·48
4)
Carry out the following calculations
a) 2·73  7·6  8·4
b) 7·29  8
c) 56·7  90
6
The table below can be used to convert tyre pressures from pounds per
square inch (lb/sq in) into kilograms per square centimetre (kg/sq cm).
Convert 29 lb/sq in to kg/sq cm.
7)
a) Graham goes into a shop and buys a bottle of water and a cheese roll for
£1·38. In the same shop, Alan pays £1·77 for 2 bottles of water and a cheese
roll. How much does a bottle of water cost?
b) Craig goes into the shop and buys 4 bottles of water and 3 cheese rolls.
How much will this cost?
8)
Maria is two years old.
Each week she goes to the nursery for 3 full days and 2 half days.
Playwell Nursery
Age
0 – 2 years old
3 – 5 years old
Full Day
£28
£23·50
Half Day
£15
£12·50
Maria’s mother pays for her to attend Playwell Nursery.
a) How much does Maria’s mother pay each week?
9)
On Monday, Tuesday and Wednesday Maria goes to the nursery from 9 am to
3 pm. On Thursday and Friday she goes from 9 am untol 12 noon.
b) The nursery introduces a new hourly rate of £5 per hour. Will Maria’s
mother save money when the nursery changes to the hourly rate?
Give a reason for your answer.
10)
10
The Wilson family owns two dogs and a cat. Last year each dog had two
check-ups at Belmont Vets. The family cat also had check-ups last year. The
Wilson’s total check-up fees for the two dogs and the cat was £105·25. How
often did the cat have a check-up?
BELMONT VETS CHECK-UP FEES
Dog
£17·50
Cat
£11·75
Rabbit £7·95
11