Shawlands Academy Intermediate 1 Homework Unit 2
Intermediate 1 Homework 1 Unit 2 1. Find: (a) 2.75 + 6 (b) 2 / 7 of 217 (c) 3.33 4 2. Calculate: (a) 43 10 (b) 25 100 (d) 180 60 1. Calculate the following. (a) 2.8 2 (b) 6.3 2 (c) 2. Calculate the circumference of a circle with diameter 12 mm. Give your answer to 1 decimal place. 3. The table below gives results of a survey on teenagers on their film preferences. Film Type Western Sci - fi Horror Action Romance Number 4 8 10 12 2 Draw a bar graph to illustrate the information. 4. Pupils in a class were asked their method of travel to school. The table shows the results. Travel Method Walk Cycle Bus Car Number 10 3 11 5 Draw a bar graph to illustrate the information. 5. The table below shows the stopping distance of a car, when the brakes are applied, at different speeds. Speed (miles per hour) Stopping distance (feet) 0 10 20 30 40 0 15 40 75 120 (a) Draw a line graph to show this information. (b) Describe the general trend.
Intermediate 1 Homework 2 Unit 2 1. (a) Change 0.067 into a fraction. (b) Find 40% of 360. 2. Sophie wants to insure her jewellery for 7000. The insurance company charges an annual premium of 6.50 for each 1000 insured. Work out Sophie s annual premium. 1. The stem and leaf diagram below shows the ages of the players in the Tigers football team. 2 2 represents 22 years (a) What age is the oldest player? (b) Calculate the range of ages. AGES Tigers 1 8 2 2 3 6 3 0 2 3 6 6 7 4 2 The stem and leaf diagrams below shows the ages of both the Tigers and Panthers football team AGES Panthers Tigers 9 9 1 8 5 2 2 1 0 2 2 3 6 5 2 1 1 3 0 2 3 6 6 7 4 2 2 2 represents 22 years (c) Compare the ages of the two teams. Comment on any difference.
Intermediate 1 Homework 3 Unit 2 1. Work out the answers to the following. (a) 2.36 0.5 (b) 3 / 8 of 248 (c) 460 30 5 2. Round to the nearest whole number. (a) 5.5 (b) 206.1 3. A electrical retailer buys a digital camera for 110 and sells them for 149 (a) Calculate the profit. (b) Calculate the profit as a percentage of 110 4. A microwave can be bought by paying a deposit of 49 followed by 10 instalments of 25. Calculate the total price of the microwave. 1. The pie chart shows the petrol bought by 48 motorists at a local garage filling station. (a) What fraction of the motorist use: (i) Diesel (ii) unleaded (b) How many motorist use: (i) Diesel (ii) unleaded (c) How many motorist use premium? Premium Diesel 150 0 120 0 Unleaded
Intermediate 1 Homework 4 Unit 2 1. Find: (a) 7.42 1.9 (b) 4.16 8 2. Laptop prices in a catalogue do not included value added tax (VAT). VAT is 15% of the price. Calculate the actual cost of a Netbook Laptop costing 1400 excluding VAT. 3. Derek pays 1000 to rent a house for 4 weeks. How much will it cost him for 9 weeks? 4. Pizza deliveries will deliver to your door if the journey is 6 miles or less. The driver has to record the mileage of each trip for expenses. These are the mileages he recorded for one day: 2 6 3 4 5 5 3 6 6 1 4 3 6 1 4 3 2 1 1 4 3 6 1 1 4 5 2 (a) (b) Organise the data in a frequency table. Make a bar graph of the data. 5. What choice magazine notes how long certain light bulbs last (in hours) and their power (in watts). Bulb A B C D E F Wattage 40 80 60 100 80 60 Lifetime (hours) 100 80 80 70 100 90 (a) Plot the points to make a scatter diagram. (b) Is the correlation positive or negative? (c) Draw the best-fitting straight line. (d) Use the line to suggest a reasonable lifetime for a 90 watt bulb.
Intermediate 1 Homework 5 Unit 2 1. Here are some 24-hour times. Write them as 12-hour times using am or pm. (a) 1000 (b) 0515 (c) 2105 2. Here are some 12-hour times. Write them as 24-hour. (b) 2pm (b) 3.30am (c) 10.25pm 3. George works on night shift. Every night he starts at 9.45pm and works until 6.30am the next day. (a) How long is a shift? (b) How long is it from 6.30am until he has to go to work? 4. On school sports day, Jen ran 60 metres in 10 seconds. Calculate her average speed in m/s. 5. Paula runs a 1500 metre race at an average speed of 6 metres per second. How long did she take to run the race? Give her time in minutes and seconds. 1. Reema skied for 25km at an average speed of 10km/h. (a) How long did it take her? (b) If she started skiing at 1435, when did she finish? 2. Zakir jogged for two and half hours at an average speed of 8km/h. How far did he travel? 3. Ben drove 189 km at an average speed of 54km/h. How long did the journey take him? 4. Lorna left home at 1420 and arrived at the cinema at 1535. (a) How long did the journey take her? (b) If the cinema was 55 km away, what was her average speed.
Intermediate 1 Homework 6 Unit 2 1. Write these times as a fraction of an hour. (a) 20 minutes (b) 50 minutes (c) 18 minutes 2. Change the following into hours and minutes. (a) 2.1 hours (b) 2.25 hours (c) 3.15hours 1. Calculate each of the following. (a) (b) (c) (d) 2. Calculate the length of the hypotenuse in each of these right-angled triangles. All lengths are in cm. (a) (b) 15 x 21 x 8 72 11 (c) 4 x
Intermediate 1 Homework 7 Unit 2 1. Calculate the missing side in each right angled triangle, correct to 1 d.p. (a) (b) 15m 30m X 13m 18m (c) 9m Z 7m y (d) 8.7 m 6.1 m e (e) 4.2m 10 m 7.4m f
Intermediate 1 Homework 8 Unit 2 1. Draw a coordinate grid, number the axis from -6 to 6. Plot the points A(-2,4), B(-4,-1) and C(1,-3). Y X (a) Plot the point D so that shape ABCD is a square. 2. Write down the answer to these. (a) -1 + 3 (b) -2 + 4 (c) 7 + (-7) (d) 6 + ( -5) 3. Write down the answer to these. (a) -2-5 (b) -3 (-6) (c) -6-7 (d) 5 - ( -5) 4. Write down the answer to these. (a) 5 (-2) (b) -3 (-3) (c) 4 (-5) (d) 10 (-1) 5. Write down the answer to these. (a) 4 3 (-4) (b) (-5) 6 (-2) (c) 2 (-14) (-3) 6. Write down the answers to these. (a) 8 (-4) (b) (-15) 3 (c) -100 (-25)
Intermediate 1 Homework 9 Unit 2 1. Find:- (a) 9.23 6.3 (b) 75% of 1400 (c) 15 4000 2. While in New York, Rachel changed 45 into US Dollars. The exchange rate was 1 = $1.65. How many US dollars did Rachel Receive for 45? 3. Write as a decimal. 4. Calculate the mean of each set of scores. (a) 2, 2, 3, 4, 9, 16 (b) 17, 25, 37, 49, 123 5. The weights (in kilograms) of 5 rugby players are. 84.5, 86.3, 90.2, 89.4, 99.6 Calculate the mean weight of the rugby players. 6. Calculate the range in each set of data. (a) 1cm, 3cm, 5cm, 12cm, 17cm (b) 78kg, 23kg, 99kg, 14kg, 201kg 7. Mr Smith list the power, in watts, used by each appliance in his house: 1000w, 700w, 2000w, 1200w, 200w, 900w. Calculate the range.
Intermediate 1 Homework 10 Unit 2 1. Calculate correct to 1 decimal place. (a) 2.8 + 6.56 (b) 17 3 2. Harris put 300 in a bank account. The rate of interest was 5% p.a. (a) How much interest did Harris earn after a year? (b) How much money had he in the bank after a year? 3. In Glasgow city centre it cost 2.40 to park for 4 hours. (a) How long can you park for 4.20? (b) How much will it cost to park for 3 hours? 4. Find the mode of each list. State them both where there are two. (a) 7 7 7 7 9 9 11 11 11 11 11 12 17 17 (b) 116 116 116 116 116 117 117 118 118 118 118 118 119 (c) 20 21 22 22 22 23 23 23 24 1. Attendances at the Cinema over one Saturday evening were: 85, 79, 65, 42, 128, 103, 79, 96, 87, 34, 114, 76. (a) Calculate the mean. (b) What was the median attendance? (c) What was the range of attendances? 2. The weekly wages of employees of Marvey s Furniture Store are: 235, 150, 350, 125, 235, 150, 145, 235, 125. Calculate: (a) the mean wage (c) the mode (b) the median wage (d) the range of wages at the store.
Intermediate 1 Homework 11 Unit 2 1. A building company employs 70 staff. The number of staff absences during the last year is shown in the frequency table below. Number Of Absences (Days) Frequency 0 7 1 21 2 18 3 11 4 8 5 5 Total 70 (a) Find the probability of choosing a member of staff who had no absences. (b) Copy and complete the table below and calculate the mean number of absences. Number of Absences (Days) Frequency Number of Absences Frequency 0 7 0 1 21 21 2 18 36 3 11 4 8 5 5 Total 70
Intermediate 1 Homework 11 Cont d Unit 2 2. An Internet provider has a customer helpline. The length of each telephone call to the helpline was recorded one day. The results are shown in the frequency table below. Length of call (to nearest minute) Frequency Length of call Frequency 1 15 15 2 40 80 3 26 78 4 29 116 5 49 6 41 Total = 200 Total = (a) Copy and complete the table above and find the mean length of call. (b) Write down the modal length of call. 3. The scores of 12 golfers in a competition were as follows. 67 70 68 75 71 70 70 75 76 75 74 75 (a) Find the modal score. (b) Find the median score. (c) Find the probability of choosing a golfer from this group with a score of 70.