Chapter practice examination

Original untimed practice examination. Not a secure or official placement test.

Original untimed practice examination. Not a secure or official placement test. Solutions are available as revealable feedback and in a separate complete answer key. No answer submissions or accounts are required.

Assessment · 24 questions

Questions

Show your thinking; use diagrams when they help. Do not open solutions during your first attempt.

A1
A student answers the following question with “3 km 858 m”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: Subtract 517 m from 3 km 375 m. Give mixed units. (3 points)
Reveal explanation
Answer: 2 km 858 m
The suggested answer is not correct. Exchange one km for 1000 m, then subtract: 3375 − 517 = 2858 m. Regroup the result into km and m.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A2
Express 650 cm as m and cm. (2 points)
Reveal explanation
Answer: 6 m 50 cm
Partition 650 into 6 full groups of 100 plus 50.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A3
Subtract 942 m from 4 km 480 m. Give mixed units. (2 points)
Reveal explanation
Answer: 3 km 538 m
Exchange one km for 1000 m, then subtract: 4480 − 942 = 3538 m. Regroup the result into km and m.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A4
Subtract 53 cm from 2 m 25 cm. Give mixed units. (2 points)
Reveal explanation
Answer: 1 m 72 cm
Exchange one m for 100 cm, then subtract: 225 − 53 = 172 cm. Regroup the result into m and cm.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A5
A student answers the following question with “4 m 75 cm”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: Subtract 75 cm from 4 m 50 cm. Give mixed units. (3 points)
Reveal explanation
Answer: 3 m 75 cm
The suggested answer is not correct. Exchange one m for 100 cm, then subtract: 450 − 75 = 375 cm. Regroup the result into m and cm.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A6
A route is 4 km 250 m long. A walker finishes 279 m of the route. How far remains? Express in km and m. (2 points)
Reveal explanation
Answer: 3 km 971 m
The route is 4250 m. Subtract 279 m to get 3971 m; regroup into kilometers and meters.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A7
Convert 4 km 250 m into m. (2 points)
Reveal explanation
Answer: 4,250 m
4 km = 4,000 m; add 250 to make 4,250 m.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A8
Express 2,875 g as kg and g. (2 points)
Reveal explanation
Answer: 2 kg 875 g
Partition 2,875 into 2 full groups of 1,000 plus 875.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A9
A student answers the following question with “521 cm”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: Convert 5 m 20 cm into cm. (3 points)
Reveal explanation
Answer: 520 cm
The suggested answer is not correct. 5 m = 500 cm; add 20 to make 520 cm.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A10
Express 2,480 mL as L and mL. (2 points)
Reveal explanation
Answer: 2 L 480 mL
Partition 2,480 into 2 full groups of 1,000 plus 480.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A11
Convert 6 kg 55 g into g. (2 points)
Reveal explanation
Answer: 6,055 g
6 kg = 6,000 g; add 55 to make 6,055 g.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A12
Convert 4 km 125 m into m. (2 points)
Reveal explanation
Answer: 4,125 m
4 km = 4,000 m; add 125 to make 4,125 m.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A13
A student answers the following question with “7 m 86 cm”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: Subtract 89 cm from 7 m 75 cm. Give mixed units. (3 points)
Reveal explanation
Answer: 6 m 86 cm
The suggested answer is not correct. Exchange one m for 100 cm, then subtract: 775 − 89 = 686 cm. Regroup the result into m and cm.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A14
Convert 7 kg 480 g into g. (2 points)
Reveal explanation
Answer: 7,480 g
7 kg = 7,000 g; add 480 to make 7,480 g.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A15
Express 4,020 mL as L and mL. (2 points)
Reveal explanation
Answer: 4 L 20 mL
Partition 4,020 into 4 full groups of 1,000 plus 20.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A16
Express 4,480 m as km and m. (2 points)
Reveal explanation
Answer: 4 km 480 m
Partition 4,480 into 4 full groups of 1,000 plus 480.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A17
A student answers the following question with “4 km 799 m”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: A route is 6 km 375 m long. A walker finishes 2576 m of the route. How far remains? Express in km and m. (3 points)
Reveal explanation
Answer: 3 km 799 m
The suggested answer is not correct. The route is 6375 m. Subtract 2576 m to get 3799 m; regroup into kilometers and meters.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A18
Express 875 cm as m and cm. (2 points)
Reveal explanation
Answer: 8 m 75 cm
Partition 875 into 8 full groups of 100 plus 75.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A19
Subtract 87 cm from 6 m 65 cm. Give mixed units. (2 points)
Reveal explanation
Answer: 5 m 78 cm
Exchange one m for 100 cm, then subtract: 665 − 87 = 578 cm. Regroup the result into m and cm.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A20
A route is 3 km 480 m long. A walker finishes 822 m of the route. How far remains? Express in km and m. (2 points)
Reveal explanation
Answer: 2 km 658 m
The route is 3480 m. Subtract 822 m to get 2658 m; regroup into kilometers and meters.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A21
A student answers the following question with “8,065 mL”. Explain whether the answer is correct, then solve the question and justify your answer. Original question: Convert 7 L 65 mL into mL. (3 points)
Reveal explanation
Answer: 7,065 mL
The suggested answer is not correct. 7 L = 7,000 mL; add 65 to make 7,065 mL.
Scoring: 1 point for identifying the given answer as incorrect; 1 for explaining the error; 1 for giving the corrected solution and appropriate units.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A22
Express 850 cm as m and cm. (2 points)
Reveal explanation
Answer: 8 m 50 cm
Partition 850 into 8 full groups of 100 plus 50.
Scoring: 1 point for a mathematically valid calculation/model, 1 point for the correct final answer with units when appropriate.
One larger unit is exchanged into an equal number of smaller units without changing the quantity.
A23
Explain how to subtract 70 cm from 3 m 20 cm without writing a negative number of centimeters. (3 points)
Reveal explanation
Answer: 2 m 50 cm
Exchange 1 m for 100 cm: 2 m 120 cm − 70 cm = 2 m 50 cm.
Scoring: 1 point for the correct claim; 1 for a mathematical justification; 1 for a clear diagram, example, or relevant calculation when applicable.
A24
A student claims 6 m 50 cm means 650 m. What unit should the total use? (3 points)
Reveal explanation
Answer: 650 cm
There are 100 centimeters in one meter, so 6 m 50 cm equals 650 cm, not meters.
Scoring: 1 point for the correct claim; 1 for a mathematical justification; 1 for a clear diagram, example, or relevant calculation when applicable.

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