Math 20-3 Admission Exam Study Guide Notes about the admission exam:

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1 Math 20-3 Admission Exam Study Guide Notes about the admission exam: To write the exam, no appointment is necessary; drop-in to MC221 (Testing) and ask for the 20-3 exam. You ll be given a form to take to Student Services to pay (if coming on an evening/weekend, bring a credit card as Testing staff will take the number). The fee is $50; you can then write the exam. The exam takes 3 hours so ensure you leave yourself enough time to write (you will not be permitted to write if you arrive less than 3 hours before closing). Go to to find their current hours of operation. You need to bring picture ID with you as well as pencils/pens and a scientific (not graphing) calculator. A formula sheet is given to you in the exam; it is the same one that is located at the end of this guide. Once you receive your mark back from Testing, if you are using this mark to get into a SAIT program, ensure you phone Student Services at so they know you have written the exam so your application can be updated. The 20-3 exam can only be used for admission to SAIT programs; it cannot be used for admission to any other institution.

2 Simple Interest 1. If the interest rate is 2.5% simple interest calculated yearly, how much interest will you earn on $10,000 in 30 days? 2. How much interest will you earn in 120 days? 3. How much interest will you earn in 30 days at 5.5% interest? Ratios 4. A blueprint represents a 40-foot structure with a 6-inch line. What is the scale of the blueprint? 5. If a blueprint has a scale of 1:50, what is the length of a beam that is drawn as a 2.4 cm line? 6. What is the length of a line that represents a 37 m beam (to the nearest tenth)? Proportions 7. If a 4L bucket of paint can cover 450 ft 2, how many liters will you need to paint 2200 ft 2? 8. If a sports car costs $50,000 and a hatchback costs $26,000, how much more expensive is the sports car as a percentage of the hatchback (to the nearest tenth)? 9. If 12% of Alberta is Liberal and 61% of Alberta is Conservative, how many Liberals are there if 2,200,000 Albertans are Conservative? Unit Conversions 10. Convert 5,400 revolutions per minute to revolutions per second. 11. Convert 50 m/s to km/h. 12. Convert 68 inches to cm (nearest hundredth). 13. Convert 285 lb. to kg (nearest hundredth). 14. Convert 1728 in 3 to gallons (nearest thousandth). Slope 15. What is the pitch of a ramp if it has a rise of 10 feet and a run of 60 feet? 16. If a slope has a pitch of 3:12 and a horizontal distance (run) of 10 meters, how tall is it at its highest point (nearest hundredth)? 17. What is the length of a slope if it has a rise of 1.8 m and a run of 9.6 m?

3 Final Grade (%) 18. Based on the graph below, how many hours of homework will you need to do to get a final grade of 90%? Final Grade (%) versus Hours of Homework per Week Hours of Homework Per Week 19. If you only do 1½ hours of homework a week, what grade can you expect to get? 20. Is the slope of this graph positive or negative? Trigonometry for Right-Angle Triangles 21. Calculate the hypotenuse if θ = 35 and the adjacent = 25 cm (nearest tenth) 22. Calculate the opposite if θ = 72 and the adjacent = 19 inches (nearest tenth) 23. Calculate the opposite if θ = 19 and the hypotenuse = 1.7 feet (nearest hundredth) 24. Calculate θ if the adjacent = 15 cm and the opposite = 24 cm (nearest tenth) 25. Calculate θ if the opposite = 31 in. and the hypotenuse = 48 in. (nearest tenth)

4 Surface Area 26. Calculate the surface area (in ft 2 ) of a sphere with a radius of 10 ft. (nearest tenth) 27. Calculate the lateral surface area (that is, no ends on front and back) (in m 2 ) of a rectangular solid that is 1.2 m high, 450 cm long, and 2100 mm wide. (nearest hundredth) 28. Calculate the lateral surface area (that is, no bottom) (in in 2 ) of a cone with a diameter of 24 in. and a slant height of 48 in. (nearest tenth) 29. Calculate the lateral surface area (in m 2 ) of a pyramid with a square base if the top of the pyramid reaches 42 m into the air and the base of the pyramid is 27 m wide on each side. (nearest tenth) Volume 30. Calculate the volume (in in 3 ) of a rectangular solid that is 15 inches high, 30 inches long, and 22 inches wide. 31. If the solid from Question 30 is made of solid steel, which weighs lb. per in 3, how much will it weigh (in lbs.)? (nearest hundredth) 32. If steel costs $0.30 per lb., how much does the solid from Question 30 cost? 33. Calculate the volume (in m 3 ) of the pyramid from Question 29.

5 Formula Sheet Formulas: I = prt pitch = rise / run a 2 + b 2 = c 2 sin θ = opposite / hypotenuse cos θ = adjacent / hypotenuse tan θ = opposite / adjacent SA (sphere) = 4πr 2 LSA (cube) = 2LH x 2WH LSA (cone) = πrs LSA (pyramid) = PL/2 V (pyramid) = LWH/3 V (cube) = LWH Conversions: 1 foot = 12 inches 1 inch = 2.54 cm 1 cm = 10 mm 1 kg = lb 1 gallon = 277 in 3

6 Answers: 1. $ $ $ : cm m L % ,787 people rps km/h cm kg gallons 15. 1: m m 18. Approx. 9 hours 19. Approx. 43% 20. Positive cm in ft degrees degrees 26. 1,256.6 ft m ,809.6 in ,382.3 m in lb. 32. $ ,206 m 3