Numeracy Practice Paper 1
1John bought a new HD Ready 3D TV.The price was £650 + VAT.
VAT is charged at 20%.
What was the total price?
2An empty box has a weight of 120g.When twenty bars of soap are put into it, it has a weight of 870g.
What is the weight of one bar of soap?
3Yvonne is going to Spain. How much currency will she get for £900 when the exchange rate is 1·34 euros to a pound?
4Complete the following table which shows departure and arrival times for different bus journeys.
Depart / Arrive / Time taken0915 / 1420
1855 / 4h 15 min
1700 / 3h 40 min
5The diagram shows a roomwhich is made up of two rectangles.
The owner bought a 40m roll of decorative border which is to go all round the walls of the room near the ceiling.
Is the roll long enough for the room?
Justify your answer by calculation.
6A bus travels at a constant speed of 32 mph for 45 minutes.
How far does the bus travel in this time?
7In an emergency relief effort 205 kg of food is to be divided between two communities. The populations of the communities are in the ratio 3:2.
The smaller community received 80kg.
Is this the correct amount?
Justify your answer by calculation.
8A liquid is cooled from 9°C to –2C.
By how many degrees has its temperature dropped?
9Some water has been added to this measuring jar.
How much more water is needed to fill the jar to 1.7 litres?
10Two shops are selling the same model of television. They are are offering these for sale with different deals.
Which shop has the cheaper deal?
Justify your answer by calculation.
11The triangle below is right-angled.
(a)Measure the length of the longest side.
(b)Measure the size of the shaded angle.
12A college group of 255 students are planning to travel to an event using hired buses. A bus company offers two sizes of bus:
Size A 48 seatsPrice£150
Size B25 seatsPrice£100
The group wants to pay the lowest total hire charge available.
How many buses of each size should they hire?
How much will this cost?
13A survey of hotel guests showed that there were a total of
720 visitors from a variety of countries. The diagram below shows the proportion of visitors that came from each country.
How many visitors were there from Italy?
14The table below shows the amount of yearly interest a selection of banks will pay to a customer on savings.
Bank / Less than £1000 / Between £1000 and £5000 / More than £5000A / 1.10% / 1.30% / 1.50%
B / 1.30% / 1.35% / 1.60%
C / 1.20% / 1.45% / 1.50%
D / 1.30% / 1.30% / 1.40%
For a savings amount of £4800, which bank would pay the most interest?
15A local school conducted a survey on a Wednesday afternoon to establish the number of pupils who were wearing trainers.
The compound bar chart below gives the results of the data collected.
(a)How many S2girlswalk to school?
(b)Compare the number of pupils who walk to schoolin third and fourth year.
16Three mobile phone companies each have a contract available at the same price.
Company A / Company B / Company CCalls (minutes) / 300 / 400 / 200
Texts / 900 / 750 / 800
Internet (Mb) / 250 / 150 / 500
Amina is looking for a mobile phone contract which will give her
110 minutes of calls, 700 texts, and 250Mb of internet use.
Which company’s plan would be best for her?
17Two drama clubs are to send representatives to a show.
The representatives are chosen at random.
Club A has 30 members and has 4 tickets to use.
Club B has 40 members and has 5 tickets to use.
In which club does any one person have a better chance of being selected.
Justify your answer by calculation.
18Three football teams play in the same town.
Team A have won 6 out of their 10 games.
Team B have won 7 out of their 12 games.
Team C have won 10 out of their 16 games.
Which team has the best winning record?
Justify your answer by calculation.