How far will it travel in: (a) 2 hours (b) ½ an hour (c) 15 minutes (d) 3 hours 30 minutes?

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National 4 Numeracy Practice for Unit Assessment Time 1. How long is it between the following times? 4.15 p.m. to 7.15 p.m. 7 a.m. to 10.30 a.m. (c) noon to 5.30 p.m. (d) 1830 to 2215 (e) 4.45 a.m. to 6.

1 National 4 Numeracy Practice for Unit Assessment Time 1. How long is it between the following times? 4.15 p.m. to 7.15 p.m. 7 a.m. to a.m. (c) noon to 5.30 p.m. (d) 1830 to 2215 (e) 4.45 a.m. to 6.20 a.m. (f) 0220 to British Airways flight BA447 left Gatwick Airport at pm and arrived in New York at 5 10 a.m. (British time) the next morning. How long was the flight? 3. The following table shows information about different flights from Edinburgh Airport. Copy and complete the table. Departure Arrival Length of Journey hours 15 minutes hours 30 minutes 4. A car is travelling 44 miles per hour. How far will it travel in: 2 hours ½ an hour (c) 15 minutes (d) 3 hours 30 minutes? Money and Percentages 5. Find: 10% of 25 25% of 144 (c) 20% of 65 (d) 5% of Kirsten earns 450 per week. She receives a 5% pay rise. What will her weekly wage be? 7. Graham works in a car garage. Last month he sold 30 cars. This month he sold 20% more. How many cars did he sell this month? 8. Karen would like to book a holiday to Florida. The holiday costs 750 but if she books before the end of the month she will receive a 10% discount. How much will the holiday cost her if she books early? 9. Calum decides to buy himself a new camera. He chooses one in a sale marked as 20% off. If the camera originally cost 180, how much will it now cost in the sale? 10. John would like to buy a new Playstation. Two shops are offering different deals. The Game Shop: Deposit of 30 and 12 payments of Computers R Us: Deposit of 65 and 12 payments of Which deal is cheaper? Justify your answer. 11. Using the exchange rate 1 = 1.24 euros, find how many euros you would receive for: (c) 2400 (d) 75 (e) 480

2 12. The table shows the interest rates charged for mortgages in three different banks. The interest rates vary depending on what percentage of the house value you can pay as a deposit. Deposit Less than 10% 10% - 29% 30% or more Bank of house value of house value of house value Lloyds 8 5% 7 5% 6 5% Royal Bank of Scotland 7 9% 7 9% 6 9% TSB 9% 7 8% 5 8% Bank of Scotland 8 4% 7 9% 7 4% (c) For someone who has a deposit of 20% which bank has the lowest interest rate? Which bank has the highest interest rate for people with a 40% deposit? If you have a 5% deposit which bank offers the lowest interest rate? Measurement 13. Find the perimeter of each shape below. (c) 8 cm (d) (e) (f) 13 cm 5 cm 12 cm 4 cm 2 cm 5 cm 5 cm All sides are 3 cm All sides are 2 5 cm 14. Mark wants to build a fence around a plot of land to keep horses in. 15 m 18 m 10 m 35 m He buys 105 metres of fencing. Does he have enough fencing? Justify your answer. 15. Measure the following lines. (c)

3 16. Measure the angles marked in the shapes below. (e) (c) (d) (f) 17. The temperatures of different American cities in January are listed below. Albany -10 o C Tampa 11 o C San Francisco 8 o C Denver -8 o C Chicago -6 o C New Orleans 7 o C Find the difference in temperatures between: San Francisco and Albany New Orleans and Denver (c) Tampa and Chicago (d) Denver and San Francisco (e) the warmest and coldest cities. 18. State the amount of liquid in each container. (c) (d) 19. For each container above, state how much liquid would need to be added to fill each container to 2 litres. Ratio and Problem Solving 20. Share these amounts in the ratios given. 250 in the ratio 2:3 45 kilograms in the ratio 4:5 (c) 42 in the ratio 3:7 21. Eilidh s music collection has rock and pop CDs in the ratio 7:2. She has a total of 63 CDs. How many of each type does she have?

4 22. To raise money for charity, John and Dave agree to climb all the hills in Scotland that are classified as Munros because they are over 3000 feet high. There are 285 of them. John is fitter than Dave, so they agree to climb them in the ratio 3:2. John climbs 165 Munros. Is this the correct amount? Justify your answer. 23. For an excursion, 1 teacher and 12 pupils can buy a group ticket to the theatre costing 200. If the teacher ticket costs 26, how much does a pupil ticket cost? 24. An empty container weighs 175g. Twenty-four bottles of water are then put into the container. If the total weight is 5935g, what is the weight of one bottle of water? 25. Cans of juice are sold in 2 different pack sizes. Large pack: 24 cans 6.50 Small pack: 8 cans 2.50 Graham s school is hosting a school fair and needs 85 cans of juice costing the least amount of money possible. How many of each pack should he buy? How much will it cost him? 26. A school is ordering calculators for their pupils. There is a discount if you buy in larger numbers. Small Box: 10 Calculators: 59 Large Box: 80 Calculators: 440 The school needs to buy 187 calculators. How many of each box should they buy? How much will it cost? 27. Three mobile phone companies offer the following iphone contracts: EE Vodafone Three Cost of phone 30 Free 100 Monthly fee Data Allowance 5 Gb 8 Gb Unlimited Ryan can afford to pay up to 50 for the iphone and is willing to pay up to 45 per month. He needs at least 4 Gb data allowance. Which network is best for him? Suzanne needs at least 7 Gb of data. She can afford to pay up to 50 per month and can pay up to 50 for the phone. Which network should she choose?

5 Percentage Statistics and Probability 28. A survey of pupils favourite subjects in S1 was carried out on 150 first years. The pie chart below shows the proportion that voted for each subject. Science Maths PE Music 60 Art How many voted for Art? people were surveyed on how they intended to vote in the Scottish independence referendum. The proportion that voted for each category is shown in the pie chart. Don t know CDT Wouldn't Vote Yes 120 No How many people said they would vote yes? Source: YouGov/Sun Survey, 3rd 5th February A survey was carried out to determine what percentage of each year group took part in extra-curricular sports at a school. The results are shown in the bar chart below. Participation in Extra-Curricular Sport S1 S2 S3 S4 S5/6 Year Group Boys Girls What percentage of boys in S2 took part? Compare the participation in extra-curricular sports by boys and girls across the year groups.

6 Frequency 31. A survey was carried out on a weekday to look at the different ages of passengers on a particular bus route. Passenger Age on No. 5A Bus Route Under Over am 9-11 am 11-1 pm 1-3 pm 3-5 pm 5-7 pm Day How many over 60s used the bus between 1 pm and 3 pm? Give a reason why there wouldn t be many under 20s using the bus between 9 am and 3 pm. 32. The English and Scottish football teams are to play each other in a friendly. The Scotland Supporters Club has members and has been allocated tickets. The England Supporters Club has members and have been allocated tickets. In which supporters club is a fan more likely to be allocated a ticket? 33. John's school sells 1200 tickets for a raffle. John buys 15 tickets. John's church sells 1800 tickets for a raffle. John buy's 20 tickets. In which raffle has he a better chance of winning the first prize? 34. Three driving instructors are comparing how many of their students pass their driving tests first time. Mr Parker had 39 students last year and 21 passed first time. Mrs Driver had 18 students and 11 passed first time. Mr Turner had 31 students and 13 passed first time. Which instructor has the best success rate? Justify your answer by calculation. 35. In the 2012/13 football season the champions of England, Scotland and Italy had the following statistics for all competitions they entered in the season. Manchester United: played 54, won 36 Celtic: played 59, won 38 Juventus: played 53, won 35 Which team has the best winning record? Justify your answer by calculation.

Worksheets for GCSE Mathematics. Percentages. Mr Black's Maths Resources for Teachers GCSE 1-9. Number

Worksheets for GCSE Mathematics Percentages Mr Black's Maths Resources for Teachers GCSE 1-9 Number Percentage Worksheets Contents Differentiated Independent Learning Worksheets Writing Percentages Page