Test Bank for
Calculus, 2nd
Canadian Edition By
Michael Calter, Paul
Calter, Paul Wraight,
Donald Spencer (All
Chapters)
,Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed
Name _________________________
1. Insert the proper sign of equality or inequality (=, , >, <) between the
pair of numbers: 1/3 ____ .333
2. Insert the proper sign of equality or inequality (=, , >, <) between the
pair of numbers: -0.5 ____ -2/3
3. Insert the proper sign of equality of inequality (=, , >, <) between the
pair of numbers: 0.31 ____ −0.313
4. Evaluate the expression: |27 - 9| - |-11 - 6|
5. Evaluate the expression: -|6 - 7| + |-3 - 4|
6. Evaluate the expression: −|4 + 1| − |−4 + 1|
7. Round each number to two decimal places.
(a) 23.746
(b) 54.995 001
(c) 94.355
8. Round each number to two significant digits.
(a) 80.60
(b) 523.905
(c) 72.164
9. Round each number to the nearest thousand.
(a) 657 495
(b) 4500.1
(c) 4500
10. Determine the number of significant digits in each approximate number.
(a) 0.076 (b) 14 200
(c) 5.089 (d) 0.540
11. Determine the number of significant digits in each approximate number.
(a) 50.5 (b) 0.03
(c) 30.0 (d) 1000
1
,Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed
12. Combine these approximate numbers and round appropriately:
8235.4 + 98
13. Combine these approximate numbers and round appropriately:
696 + 15.2
14. Combine these approximate numbers and round appropriately:
−60.6 − (−1.21)
15. An ocean liner sailed 715 nautical miles in one day and 689 in the next. How
many nautical miles did the liner sail all together?
16. Maria has exactly $1500 available for monthly expenses. She spent $479 on
transportation, $268 on food, and $317 for rent. Determine the amount
remaining in her account.
17. The changes in tide in the Bay of Fundy were measured at Parrsborro, Nova
Scotia. At 6 a.m., the water level was 1.5 m. By 9 a.m. it has risen 6.3 m,
and by noon it has risen another 4.6 m. The last measurement at 4 p.m. was
8.0 m lower than the noon level. What was the water level at 4 p.m.?
18. Multiply these approximate numbers and keep the proper number of significant
digits in your answer: 0.2001 3.49
19. Multiply these approximate numbers and keep the proper number of significant
digits in your answer: 5.300 (-8.72)
20. Multiply these approximate numbers and keep the proper number of significant
digits in your answer: 67 000 23.54 6.712
21. Two cars are exactly 1000 km apart. They have to meet each other within 9
hours. If they both start at the same time and one car drives at 90.3 km/h
and the other car at 88.7 km/h, will they meet each other in time?
22. If one tidal turbine in the Bay of Fundy can generate 4555 MWh of electrical
energy in one year, how much energy can 250 turbines generate in one year?
23. Divide, and then round your answer to the proper number of digits:
-629.5 ÷ -89.34
24. Divide, and then round your answer to the proper number of digits:
-34 825 ÷ 6592.3
25. A beverage company produces 15 650 cans of pop monthly. How many 12-can
cartons can be completely filled and how many cans will be left over?
26. Find the reciprocal of the following number, keeping the appropriate number
of digits in your answer: 1503.0
27. Find the reciprocal of the following number, keeping the appropriate number
of digits in your answer: -12.5
2
, Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed
28. What volume of silver is needed to make a silver electrode weighing 155 g if
the density of silver is 10.49 g/cm3 ?
29. For capacitors wired in series, the equivalent capacitance is calculated
1 1 1
using 𝐶 = 𝐶 + 𝐶 .(See Eq. A72.) What is C if C1 = 24 microfarads (F) and C2 =
1 2
15 F?
30. The half-life of a chemical reaction, 𝑡1⁄ , is the time it takes for half of
2
the original substance to react. For certain reactions, the half-life is
1
found by the equation 𝑡1⁄ = seconds, where k is a constant (different for
2 𝑘𝐶0
each reaction) and C0 is the original concentration of reactant. Find 𝑡1⁄ if
2
k = 0.487 and C0 = 1.201.
31. Evaluate each power without using a calculator. Do not round your answers.
(a) 6² (b) (-1)7 0 (c) 10- 2
32. Evaluate each power without using a calculator.
(a) 15 (b) (-2)3 (c) 10- 4
33. Evaluate each expression, retaining the proper number of digits in your
answer.
(a) (4.25)- 2 (b) (53.8)
34. Evaluate each expression, retaining the proper number of digits in your
answer.
(a) (4.99)2 (b) (14.05)- 0 . 3 5
35. Evaluate each radical without using your calculator.
3 3 4
(a) √8 (b) √−27 (c) √16
36. Evaluate each radical, retaining the correct number of digits in your
answer.
3 5
(a) √6.08 (b) √0.056 (c) √−6.301
2𝑀𝑅2
37. The moment of inertia of a solid sphere with mass M and radius R is 5 .
Therefore, the moment of inertia of a sphere with a mass of 12.0 kg and a
radius of 5.29 m is (2/5)(12.0)(5.29)2 kg m². Calculate this moment of
inertia.
38. The Pythagorean theorem says that the length of the hypotenuse is the root
of the sum of the squares of the two legs. Therefore, the length of the
hypotenuse of a right triangle with legs 178.2 cm and 78.4 cm long is
√(178.2)2 + (78.4)2. Calculate this length.
3
Calculus, 2nd
Canadian Edition By
Michael Calter, Paul
Calter, Paul Wraight,
Donald Spencer (All
Chapters)
,Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed
Name _________________________
1. Insert the proper sign of equality or inequality (=, , >, <) between the
pair of numbers: 1/3 ____ .333
2. Insert the proper sign of equality or inequality (=, , >, <) between the
pair of numbers: -0.5 ____ -2/3
3. Insert the proper sign of equality of inequality (=, , >, <) between the
pair of numbers: 0.31 ____ −0.313
4. Evaluate the expression: |27 - 9| - |-11 - 6|
5. Evaluate the expression: -|6 - 7| + |-3 - 4|
6. Evaluate the expression: −|4 + 1| − |−4 + 1|
7. Round each number to two decimal places.
(a) 23.746
(b) 54.995 001
(c) 94.355
8. Round each number to two significant digits.
(a) 80.60
(b) 523.905
(c) 72.164
9. Round each number to the nearest thousand.
(a) 657 495
(b) 4500.1
(c) 4500
10. Determine the number of significant digits in each approximate number.
(a) 0.076 (b) 14 200
(c) 5.089 (d) 0.540
11. Determine the number of significant digits in each approximate number.
(a) 50.5 (b) 0.03
(c) 30.0 (d) 1000
1
,Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed
12. Combine these approximate numbers and round appropriately:
8235.4 + 98
13. Combine these approximate numbers and round appropriately:
696 + 15.2
14. Combine these approximate numbers and round appropriately:
−60.6 − (−1.21)
15. An ocean liner sailed 715 nautical miles in one day and 689 in the next. How
many nautical miles did the liner sail all together?
16. Maria has exactly $1500 available for monthly expenses. She spent $479 on
transportation, $268 on food, and $317 for rent. Determine the amount
remaining in her account.
17. The changes in tide in the Bay of Fundy were measured at Parrsborro, Nova
Scotia. At 6 a.m., the water level was 1.5 m. By 9 a.m. it has risen 6.3 m,
and by noon it has risen another 4.6 m. The last measurement at 4 p.m. was
8.0 m lower than the noon level. What was the water level at 4 p.m.?
18. Multiply these approximate numbers and keep the proper number of significant
digits in your answer: 0.2001 3.49
19. Multiply these approximate numbers and keep the proper number of significant
digits in your answer: 5.300 (-8.72)
20. Multiply these approximate numbers and keep the proper number of significant
digits in your answer: 67 000 23.54 6.712
21. Two cars are exactly 1000 km apart. They have to meet each other within 9
hours. If they both start at the same time and one car drives at 90.3 km/h
and the other car at 88.7 km/h, will they meet each other in time?
22. If one tidal turbine in the Bay of Fundy can generate 4555 MWh of electrical
energy in one year, how much energy can 250 turbines generate in one year?
23. Divide, and then round your answer to the proper number of digits:
-629.5 ÷ -89.34
24. Divide, and then round your answer to the proper number of digits:
-34 825 ÷ 6592.3
25. A beverage company produces 15 650 cans of pop monthly. How many 12-can
cartons can be completely filled and how many cans will be left over?
26. Find the reciprocal of the following number, keeping the appropriate number
of digits in your answer: 1503.0
27. Find the reciprocal of the following number, keeping the appropriate number
of digits in your answer: -12.5
2
, Chapter 1 Test Bank Calter: Technical Math with Calculus, Cdn 2nd Ed
28. What volume of silver is needed to make a silver electrode weighing 155 g if
the density of silver is 10.49 g/cm3 ?
29. For capacitors wired in series, the equivalent capacitance is calculated
1 1 1
using 𝐶 = 𝐶 + 𝐶 .(See Eq. A72.) What is C if C1 = 24 microfarads (F) and C2 =
1 2
15 F?
30. The half-life of a chemical reaction, 𝑡1⁄ , is the time it takes for half of
2
the original substance to react. For certain reactions, the half-life is
1
found by the equation 𝑡1⁄ = seconds, where k is a constant (different for
2 𝑘𝐶0
each reaction) and C0 is the original concentration of reactant. Find 𝑡1⁄ if
2
k = 0.487 and C0 = 1.201.
31. Evaluate each power without using a calculator. Do not round your answers.
(a) 6² (b) (-1)7 0 (c) 10- 2
32. Evaluate each power without using a calculator.
(a) 15 (b) (-2)3 (c) 10- 4
33. Evaluate each expression, retaining the proper number of digits in your
answer.
(a) (4.25)- 2 (b) (53.8)
34. Evaluate each expression, retaining the proper number of digits in your
answer.
(a) (4.99)2 (b) (14.05)- 0 . 3 5
35. Evaluate each radical without using your calculator.
3 3 4
(a) √8 (b) √−27 (c) √16
36. Evaluate each radical, retaining the correct number of digits in your
answer.
3 5
(a) √6.08 (b) √0.056 (c) √−6.301
2𝑀𝑅2
37. The moment of inertia of a solid sphere with mass M and radius R is 5 .
Therefore, the moment of inertia of a sphere with a mass of 12.0 kg and a
radius of 5.29 m is (2/5)(12.0)(5.29)2 kg m². Calculate this moment of
inertia.
38. The Pythagorean theorem says that the length of the hypotenuse is the root
of the sum of the squares of the two legs. Therefore, the length of the
hypotenuse of a right triangle with legs 178.2 cm and 78.4 cm long is
√(178.2)2 + (78.4)2. Calculate this length.
3
