Int 1 Unit1 Homework 1 Calculator

Transcription

1 Int 1 Unit1 Homework 1 Calculator 1. Use the + / button to work out the following: a) b) c) d) e) f) Use the buttons on your calculator to work out the following: a) 6 ( ) b) 85 ( ) c) 45 ( 15 6) d) 193 ( 7 15 ) e) ( ) ( ) f) ( ) ( ) 3 Use the 2 x buttons to work out the following: 2 a) b) c) d) e) f) Use the appropriate buttons to work out the following: a) ( ) b) ( ) c) ( ) d) ( ) e) ( ) f) ( )

2 Int 1 Unit1 Homework 2 Using Percentages 1. A car costs 4700 cash price. A firm offers a deal where the car can be bought by paying a deposit of 35% of the cash price, followed by 24 monthly payments of 130. (a) Calculate the deposit. (b) Calculate the total cost when paying by this method. (c) How much extra does it cost to pay this way? 2. A bank offers interest of 4% per annum to it s customers on money deposited with it. Calculate the interest on 2000 left with the bank for a year Calculate the interest on 5000 left with the bank for 3 months.

3 Int 1 Unit1 Homework 3 Area SHOW ALL WORKING REQUIRED TO ANSWER EACH QUESTION 1 Calculate the area of each shape: a) The rectangle. b) The triangle. 9 cm 8 cm 15 cm 10 cm 2. Tom has a garage attached to his house. This view shows Tom s garage and part of the house. What is the total area of the side of the garage? 6 m 4 m 3 m

4 Int 1 Unit1 Homework 4 Proportion formula 1. A company can buy 40 boxes of notebooks for How much would they pay for 50 boxes of notebooks? 2. To change temperature from Celsius to Fahrenheit you can use the formula F = 1.8C + 32 Change a temperature of 24 0 C to Fahrenheit. (i.e. find F when C = 24) 3. An insurance company charges a premium of 2.56 per 1000 for contents insurance. What would be the premium charged to insure contents worth 22000? James pays a premium of What is the value of his contents?

5 Int 1 Unit2 Homework 5 Charts and Graphs 1. Shown in the table are the favourite programmes of a primary 7 class. Programme Sonic Hoobs SMart Rugrats Tarzan Number (a) Show this information on a bar chart. (b) What was the most popular programme? (c) How many pupils were surveyed? 2. Shown on the table below are the heights and ages of a group of pupils. Height (cm) Age (years (a) Show this information on a line graph. (b) What is the trend of the graph.

6 Int 1 Unit2 Homework 6 Frequency Table & Scatter 1. Jane drives a taxi. As part of her job she has to record the mileage of each taxi journey. These are the mileages she recorded for one day a) Organise the data in a frequency table b) Make a bar chart of the data 2. Shown below are the Spanish and English test marks for a group of pupils. Spanish (%) English(%) a) Show this information on a scatter diagram. b) Draw a bet fit line c) Estimate the English mark of a pupil who scores 60% in Spanish

7 Int 1 Unit2 Homework 7 Time 1 Here is part of a television schedule for an afternoon Brainteaser High School Reunion (R) Five News FILM: Columbo Any Old Port in a Storm Drama Play Away Friends a) How long does the programme Brainteaser last for? b) How long does the programme Play Away last for? c) Peter has 3 hour video cassette. What start and finish times must he enter to record: (i) High School Reunion; (ii) The Film? How much time will be left on the tape after recording these two programmes? 2. Darren and Kelly went on a bus journey. They left at 9.00am and arrived at 1.25pm. The bus travelled at an average speed of 90 kilometres per hour. Calculate: (i) (ii) How long the journey lasted; The distance travelled.

8 Int 1 Unit2 Homework 8 DST 1. Annette travels 616 kilometres to Brighton to meet her cousin. If the coach takes her 8 hours and 48 minutes, calculate the average speed of the coach. 2. Trudy takes the car to a meeting. She has to travel 144 kilometres. She travels at an average speed of 60 kilometres per hour. If She leaves home at 10 am, when will she arrive at her destination? 3. Air France flight 107 leaves Orly airport in Paris at hours. It arrives in Madrid at If the distance from Paris to Madrid is 1440 kilometres, calculate the average speed of the plane.

9 Int 1 Unit2 Homework 9 Integers 1 Add the following integers: (a) (b) 2+ 6 (c) Subtract the following integers: (a) 7 4 (b) 2 8 (c) Calculate the value of the following: (a) 8+ ( 2) (b) 5 ( 2) + (c) 6+ ( 8) 4 Calculate the value of the following: (a) 6 ( 2) (b) 7 ( 9) (c) 11 ( 4) 5 Multiply the following integers: (a) 7 6 (b) 4 8 (c) Divide the following integers: (a) 36 4 (b) 12 2 (c) 42 6

10 Int 1 Unit2 Homework 10 Frequency Tables 1 Add the following integers: (a) 6+ ( 4 ) (b) 7 + ( 9 ) (c) 7 + ( 2) 2 Subtract the following integers: (a) 3 ( 5) (b) ( ) 4 1 (c) 5 ( 8 ) 3 Calculate: 3 6 ( ) (a) (b) 5 7 (c) A school organises a ski trip each year. The table shows the number of pupils who go in each year group. Copy and complete the table. Age Frequency Age frequency = Total (a) Calculate the mean age. (b) What is the mode? (c) Peter is 14. How does his age compare with (i) The mode (ii) The mean (d) What is the range of ages?

11 Int 1 Unit2 Homework 11 Pythagoras 1. Calculate the size of the sides marked a and b. Correct to 1 decimal place. (i) (ii) 63 cm b cm 32 cm a cm 65 cm 44 cm 2 A passenger aircraft takes off from an airport. When it has flown 1 kilometre it is 750 metres from the airport. What is the height of the aircraft above the ground? (Correct to 1 decimal place) x m 1 km 750 m

12 Int 1 Unit2 Homework 12 Stem and Leaf 1. The number of gardening magazines sold by a newsagent was recorded for 12 weeks Copy and complete this stem and leaf diagram using the above information. Title: n = 1 9 represents 2 In the last 10 days the number of kilometres travelled by Jane and John. Kilometres travelled John Jane n = 10 n = represents 31 km a) What was the highest number of miles travelled? b) What was the total number of miles travelled by Jane? c) Level 1 should be read as 12 for John and 14 and 16 for Jane Write out level 3 in the same way.

13 Int 1 Unit2 Homework 13 Stem Leaf & Scatter 1. A school records the age of some staff. The results are shown below Show this information on a stem and leaf diagram. 2. Shown below are the Spanish and English test marks for a group of pupils. Spanish (%) English(%) (a) Show this information on a scatter diagram. (b) Estimate the English mark of a pupil who scores 60% in Spanish

14 Int 1 Unit1 Homework 14 Hire Purchase SHOW ALL WORKING REQUIRED TO ANSWER EACH QUESTION 1 A Digital Camera can be bought for cash or by paying a deposit and 12 monthly payments. 382 CASH or 30 DEPOSIT +12 MONTHLY PAYMENTS OF 35 Paul chooses to buy the camera using the second option. a) Calculate the cost of all 12 monthly payments b) Calculate the total cost of the camera by this method c) How much more is the cost if you choose this method of payment. 2 RU Electric offer the following terms for buying a computer by instalments. DEPOSIT 10% OF CASH PRICE PLUS 24 MONTHLY PAYMENTS OF 48 If the cash price of the computer is 1200 Calculate: a) The deposit; b) The total cost of paying by installment. c) The amount saved by paying cash CASH 3 Hayley chooses to buy the car using the following option: 15% DEPOSIT 60 PAYMENTS OF If the cash price of the car is Calculate how much she will pay.

15 Int 1 Unit1 Homework 15 Exchange Rates Country Currency Rate (per ) United States Dollars ($) $1.50 Spain Euros ( ) Thomas travels to the United States for his summer holiday. a) He changes 200 into dollars. How many dollars does he get? b) He sees a stereo for sale in the United States for $60. The same stereo costs 50 in Scotland. Is the stereo cheaper in the United States? 2. Three friends travel to Spain for their holiday. Ian has 100, John has 120 and Neil has 200. a) How many euros does Neil get? b) How much more euros does John get than Ian?

16 Int 1 Unit1 Homework 16 Wages 1 SHOW ALL WORKING REQUIRED TO ANSWER EACH QUESTION 1. Jack works as a secretary and earns a year. b) He is paid the same amount each month. How much did he earn a month? c) His annual salary increases by What is his new monthly pay? 2 Jenny works as a dog groomer. She gets paid 20 for each dog. a) How much does she earn when she grooms 6 dogs? b) If she grooms 18 dogs, how much will she earn? 3 Mary works as trucker and earns 6.20 an hour. (a) (b) One week she works for 35 hours. How much did she earn that week? Mary can earn extra pay by working overtime. The overtime rate is time and a half. How much extra can she earn if she works 5 hours overtime? 4 Ashley is a double glazing salesperson. She is paid 6% commission on all her sales. In one week Ashley sold windows worth Calculate how much commission she earned that week

17 Int 1 Unit4 Homework 17 Wages 2 1 Graham works 35 hours a week as a baker. He is paid at a basic rate of 6.80 per hour a) Calculate his weekly wage. b) Graham works 8 hours overtime. He is paid at double time. Calculate how much he is paid for his overtime work. c) Calculate his total wages for the week 2 Jennifer works a basic 35 hour week selling glasses She is paid at a basic rate of 5.40 per hour. On Saturday she works for 4 hours of overtime at time and a half. On Sunday she works 3 hours at double time. a) Calculate her basic weekly wage b) Calculate how much she earned on Saturday c) Calculate how much she earned on Sunday d) Calculate her total wages for the week

18 Int 1 Unit2 Homework 18 Wages 3 1 Copy and complete this wage slip. Basic Wages Overtime Bonus Expenses Gross Pay Income tax Nat Ins Superannuation Other Total Deductions Net Wages 2 Copy and complete this wage slip: Pay Totals 32 hours at 5.20 per hour 8 hours overtime at time and a half Bonus Gross Pay Deductions Income Tax National Insurance Total Deductions Net Pay

19 Int 1 Unit2 Homework 19 Spreadsheet 1 The Thomson Brothers Removal Company has three employees. The spreadsheet works out their gross pay. A B C D E F 1 Thomas Brothers Wage Bill 2 Employee Basic rate Hours Basic Pay Overtime Gross 3 D Ferris S Morris D Eadie Total a) The basic pay is calculated from the basic rate and the number of hours. What formula should go into D3? b) The gross pay is worked out using basic pay and overtime What formula is in F3? c) What formulae are entered in (i) D5 (ii) F5 d) Give a suitable formula for F6. e) Calculate the basic pay and gross pay for S Morris and D Eadie. f) What was the total grass pay for Thomson Brothers Removal Company s three employees?