Math 10 Final

Workplace and Apprenticeship

Name ______Date ______

Answer each of the following questions. Show as much work as possible for all or part marks.

1.  If the posted speed limit is 90 km/h, how far will you travel in half an hour? In two and a half hours? Explain your reasoning. 3 marks

2.  If the exchange rate of 1 euro is $1.70 CAD, how many Canadian dollars could you buy with 50 euros? Explain your reasoning. 3 marks

3.  If the ratio of loaves of white bread sold compared to loaves of whole wheat bread sold is 2.5:1 and a bakery sells 100 loaves of whole wheat bread in a day, how many loaves of white bread would it sell in a day? 3 marks

4.  During a Boxing Day promotion in Edmonton, Alberta, Krazy Krazy Televisions advertises a 42” flat-screen television for $250.00 off and they will “pay the GST” while Too Good To Be True Electronics is discounting the same television by 20%. If the original price for the television at both stores was $1099.99, which store has a better deal? (Hint: PST is 5% and GST is 5%) 5 marks

5.  Miranda works in a clothing store in Calgary. She earns $1754.56 gross pay each month. If she works 40 hours a week, how much is her hourly rate? 3 marks

6.  The dining room at the faculty club at the University of Saskatchewan in Sasktatoon has 5 waiters on a Thursday diner shift and 6 on a Friday dinner shift. Their hourly wages are $10.50 and they work 7 hours on Thursday and 6 hours on Friday. If the total tips are $205.50 on Thursday and $370.00 on Friday, on which night will the waiters earn more? 5 marks

7.  Explain the difference between Net pay and Gross pay. Make sure to include all deductions. 3 marks

8.  Shelby works as a crane operator in Langley, BC. Her hourly rate of pay is $35.00 and her regular work week is 40 hours. 6 marks

  1. If she works an extra 8-hour shift on Canada Day and her overtime rate is time and a half, what are her gross earnings for the holiday?
  1. How much more is this than a regular day’s pay?

9.  A walking trail in Stanley Park in Vancouver is 10.8 km long. The Parks Board wants to install benches every 600m along the trail. The benches cost $200.00 each and labour cost $1750.00. How much will it cost to install the benches? 5 marks

10.  Jordyn was hired to replace the wood case moulding on a window frame that measures 90 inches by 48 inches. If the moulding costs $3.00 a linear foot and her labour charge is $9.00 a linear foot, how much will it cost to replace the mouldings? 5 marks

11.  Mr. Hom is creating a flower bed alongside his house. The bed will be 15ft by 3 ft, and he needs to add soil to a depth of 10 in. Dirt for Less sells garden soil for $15.99/yd3 and Rocks and Soils sells soil for $18.99/m3. 6 marks

  1. If he can buy fractions of cubic yards or metre, where should he buy from?
  1. If he must buy in whole cubic yards or metres, where should he buy from?

12.  Shayne needs to buy metal primer to rust proof a cylindrical ice-cream tank. The tank has a diameter of 15’6” and a height of 18’. A 3.8 L can of metal primer costs $47.13 and covers 40 m2. What will be the total cost of the metal primer? (Assume the bottom of the storage tank will be painted.) 5 marks

13.  Canada’s prairie provinces are known for their extreme temperatures – hot summers and cold winters. Midale and neighbouring Yellow Grass, both in Saskatchewan, recorded Canada’s record high temperature on July 5, 1937. It was 113oF. The previous year, on February 16, Midale recorded its lowest ever temperature at -55oF. What would these temperatures have been in degrees Celsius? What do you notice about the differences in these temperatures? 3 marks

( Hint: C=59F-32 and F=95C+32 )

14.  The coldest temperature ever recorded in Canada was in Snag, Yukon on February 3, 1947. It was officially recorded as -63oC. What is this in degrees Fahrenheit? 3 marks

15.  Brydon is a draftsman, and part of his job consists of making floor plans. He has been asked to create a small meeting room to add to the Makkuttukkuvik Youth Centre in Iqaluit. Imagine that you have Brydon’s job. Draw a sketch so you can show the staff of the centre what you propose.

  1. The front wall has a length of 16 feet.
  2. The left wall has a length of 12 feet, and the right wall a length of 10 feet. Both walls are perpendicular to the front wall.
  3. The back wall also has a length of 12 feet and is perpendicular to the left wall.
  4. There is a fifth wall that joins the back and right walls at an angle.

Use this information to draw that sketch. Then analyze the diagram to estimate the length that the fifth wall will have, along with the measures of the angles it makes with the back and right walls. Also draw in a door on the side of the fifth wall that will open fully to the maximum angle. What is that angle? 5 marks

16.  Suppose that one aircraft travels at 120 km/h due west, and another at 100 km/h due south. They take off from the same airport at roughly the same time.

  1. Draw a picture of their flight.
  1. Calculate their distance from eachother at 30 mins.

17.  Shelby is an industrial designer who designs food storage containers. She has designed a container with a width of 24 cm and a length of 36 cm. She now wants to design a nesting set of containers proportional to the first one. If she uses each of the scale factors below, what will be the new dimensions of each container?

  1. 23
  1. 1.25
  1. 25%

18.  Are the triangles with the following lengths of sides right triangles? Show how you know. 1 mark each

  1. 6 cm, 12 cm, 18 cm
  1. 0.5 m, 0.12 m, 0.13 m
  1. 16 cm, 30 cm, 35 cm
  1. 25”, 60”, 65”
  1. 4 ft, 5 ft, 9 ft

19.  The grade of a road averages 7o to the horizontal. If you move 5 km along the road, what is your change in altitude? 3 marks