1) Copy and complete the following table which shows departure and arrival times for different bus journeys h 20 min

Transcription

1 Answers must include the appropriate units. 1) Copy and complete the following table which shows departure and arrival times for different bus journeys. Depart Arrive Time taken h 40 min h 20 min (2) 2) A bus travels at a constant speed of 42 mph for 30 minutes. How far does the bus travel in this time? (2) 3) John bought a new HD Ready 3D TV. The price was VAT. VAT is charged at 20%. What was the total price? (2) 4) Yvonne is going to Belgium. How many euros will she get for 450 when the exchange rate is 1 23 euros to a pound? (1)

2 5 Two shops are selling the same model of television. They are are offering these for sale with different deals. Shop A Deposit 120 Six payments of Shop B Deposit 130 Six payments of Which shop has the cheaper deal? Justify your answer by calculation. (3) 6 Some coloured water has been added to this measuring jar. 2 litre 1 litre How much water is needed to fill the jar to 2 litres? (1) 7 An empty box has a weight of 215 g. When thirty bars of soap are put into it, it has a weight of 1565 g. What is the weight of one bar of soap? (2) 8 A liquid is cooled from 4 C to 9 C. By how many degrees has its temperature dropped? (1)

3 9 The diagram shows a room which is made up of two rectangles. 3 m 5 m 3 m 8 m The owner bought a 30 m 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. (2) 10 In an emergency relief effort 161 kg of food is to be divided between two communities. The populations of the communities are in the ratio 3:4. The smaller community received 65 kg. Is this the correct amount? Justify your answer. (3)

4 11 The triangle below is right-angled. (a) Measure the length of the longest side. (1) (b) Measure the size of the shaded angle. (1) 12 A survey of an alpine ski resort showed that there were a total of 480 visitors from a variety of countries. The diagram below shows the proportion of visitors that came from each country. United Kingdom France Others 120 Germany Italy How many visitors were there from Germany? (2)

5 13 The 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 5000 A 1 2% 1 3% 1 5% B 1 3% 1 4% 1 6% C 1 2% 1 5% 1 5% D 1 3% 1 3% 1 4% For a savings amount of 5700, which bank would pay the most interest? Give a reason for your answer. (1) 14 A 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. Number of pupils wearing trainers Trainers Survey Wednesday 1st Year 2nd Year 3rd Year 4th Year School Year Boys Girls (a) How many S3 girls wore trainers that day? (1) (b) Compare the use of trainers by both boys and girls in fourth year (1)

6 15 Three mobile phone companies each have a contract available at the same price. Company A Company B Company C Calls (minutes) Texts Internet (Mb) Amina is looking for a mobile phone contract which will give her 85 minutes of calls, 900 texts, and 140Mb of internet use. Which company s plan would be best for her? Give a reason for your answer. (1) 16 Two drama clubs are to send representatives to a show. The representatives are chosen at random. Club A has 26 members and has 5 tickets to use. Club B has 33 members and has 7 tickets to use. In which club does any one person have a better chance of being selected? Justify your answer by calculation. (2) 17 Four football teams play in the same town. Team A have won 4 out of their 7 games. Team B have won 8 out of their 15 games. Team C have won 9 out of their 16 games. Which team has the best winning record? Justify your answer by calculation. (2) (End of Questions)

7 Answers 1) 1 hour 20 minutes, 0255 and ) 21 miles 3) 960 4) Euros 5) Shop B charges less by 35 6) 1.1 L or 1100ml 7) 45g (Units required) 8) 13 degrees 9) No 32 > 30 10) No, 4kg short (Working must be shown to support this) 11) Approx depending on printed copy (nearest 0.2cm), (± 2 degrees) 12) ) Bank B as 1.6% is the highest interest rate for amount over ) a) 15 girls b) More boys than girls were trainers in S4 15) Company A is most suitable (Working must be shown to support this) 16) Club B (Evidence of 5/26=0.19, 7/33=0.21) 17) Team A (Evidence of 4/7=0.625, 8/15=0.636, 9/16=0.6)