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Practice — Mensuration • Units, time, speed and density

Time, durations and midnight: check 1
Difficulty: ★★☆
5013
Info
M4U-EXT-QP-0580-TIME-O1

Maths4U Original · Short practice

A journey departs at 22:05 on the 24-hour clock and lasts 50 minutes. Assume no time-zone change.

Express the journey duration in hours as an exact fraction.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Time, durations and midnight: review variant 1
Difficulty: ★★☆
5014
Info
M4U-EXT-QP-0580-TIME-O1-V1

Maths4U Original · Short practice

A journey departs at 23:10 on the 24-hour clock and lasts 63 minutes. Assume no time-zone change.

Express the journey duration in hours as an exact fraction.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Time, durations and midnight: check 2
Difficulty: ★★☆
5015
Info
M4U-EXT-QP-0580-TIME-O2

Maths4U Original · Short practice

A journey departs at 23:10 on the 24-hour clock and lasts 63 minutes. Assume no time-zone change.

Find the arrival hour on the 24-hour clock.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Time, durations and midnight: review variant 2
Difficulty: ★★☆
5016
Info
M4U-EXT-QP-0580-TIME-O2-V1

Maths4U Original · Short practice

A journey departs at 21:15 on the 24-hour clock and lasts 76 minutes. Assume no time-zone change.

Find the arrival hour on the 24-hour clock.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Time, durations and midnight: check 3
Difficulty: ★★☆
5017
Info
M4U-EXT-QP-0580-TIME-O3

Maths4U Original · Short practice

A journey departs at 21:15 on the 24-hour clock and lasts 76 minutes. Assume no time-zone change.

Find the minutes part of the arrival clock time.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Time, durations and midnight: review variant 3
Difficulty: ★★☆
5018
Info
M4U-EXT-QP-0580-TIME-O3-V1

Maths4U Original · Short practice

A journey departs at 22:20 on the 24-hour clock and lasts 89 minutes. Assume no time-zone change.

Find the minutes part of the arrival clock time.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Time, durations and midnight: check 4
Difficulty: ★★☆
5019
Info
M4U-EXT-QP-0580-TIME-O4

Maths4U Original · Short practice

A journey departs at 22:20 on the 24-hour clock and lasts 89 minutes. Assume no time-zone change.

How many midnights pass during this journey?

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Time, durations and midnight: review variant 4
Difficulty: ★★☆
5020
Info
M4U-EXT-QP-0580-TIME-O4-V1

Maths4U Original · Short practice

A journey departs at 23:25 on the 24-hour clock and lasts 102 minutes. Assume no time-zone change.

How many midnights pass during this journey?

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Speed, density and rate conversions: check 1
Difficulty: ★★☆
5021
Info
M4U-EXT-QP-0580-RATES-O1

Maths4U Original · Short practice

A journey covers 75 km in 30 minutes. Separately, a specimen has density \(2\) \(\displaystyle \frac{g}{\mathrm{cm}^{3}}\) and volume \(\displaystyle 90 \mathrm{cm}^{3}\). Use density = mass ÷ volume.

Find the average speed of the journey in km/h.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Speed, density and rate conversions: review variant 1
Difficulty: ★★☆
5022
Info
M4U-EXT-QP-0580-RATES-O1-V1

Maths4U Original · Short practice

A journey covers 90 km in 45 minutes. Separately, a specimen has density \(\displaystyle \frac{11}{5}\) \(\displaystyle \frac{g}{\mathrm{cm}^{3}}\) and volume \(\displaystyle 40 \mathrm{cm}^{3}\). Use density = mass ÷ volume.

Find the average speed of the journey in km/h.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Speed, density and rate conversions: check 2
Difficulty: ★★☆
5023
Info
M4U-EXT-QP-0580-RATES-O2

Maths4U Original · Short practice

A journey covers 90 km in 45 minutes. Separately, a specimen has density \(\displaystyle \frac{11}{5}\) \(\displaystyle \frac{g}{\mathrm{cm}^{3}}\) and volume \(\displaystyle 40 \mathrm{cm}^{3}\). Use density = mass ÷ volume.

Express that average speed in m/s.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Speed, density and rate conversions: review variant 2
Difficulty: ★★☆
5024
Info
M4U-EXT-QP-0580-RATES-O2-V1

Maths4U Original · Short practice

A journey covers 105 km in 60 minutes. Separately, a specimen has density \(\displaystyle \frac{12}{5}\) \(\displaystyle \frac{g}{\mathrm{cm}^{3}}\) and volume \(\displaystyle 50 \mathrm{cm}^{3}\). Use density = mass ÷ volume.

Express that average speed in m/s.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Speed, density and rate conversions: check 3
Difficulty: ★★☆
5025
Info
M4U-EXT-QP-0580-RATES-O3

Maths4U Original · Short practice

A journey covers 105 km in 60 minutes. Separately, a specimen has density \(\displaystyle \frac{12}{5}\) \(\displaystyle \frac{g}{\mathrm{cm}^{3}}\) and volume \(\displaystyle 50 \mathrm{cm}^{3}\). Use density = mass ÷ volume.

Find the specimen mass in grams.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Speed, density and rate conversions: review variant 3
Difficulty: ★★☆
5026
Info
M4U-EXT-QP-0580-RATES-O3-V1

Maths4U Original · Short practice

A journey covers 120 km in 75 minutes. Separately, a specimen has density \(\displaystyle \frac{13}{5}\) \(\displaystyle \frac{g}{\mathrm{cm}^{3}}\) and volume \(\displaystyle 60 \mathrm{cm}^{3}\). Use density = mass ÷ volume.

Find the specimen mass in grams.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Speed, density and rate conversions: check 4
Difficulty: ★★☆
5027
Info
M4U-EXT-QP-0580-RATES-O4

Maths4U Original · Short practice

A journey covers 120 km in 75 minutes. Separately, a specimen has density \(\displaystyle \frac{13}{5}\) \(\displaystyle \frac{g}{\mathrm{cm}^{3}}\) and volume \(\displaystyle 60 \mathrm{cm}^{3}\). Use density = mass ÷ volume.

Express the specimen density in \(\displaystyle \frac{\mathrm{kg}}{m^{3}}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Speed, density and rate conversions: review variant 4
Difficulty: ★★☆
5028
Info
M4U-EXT-QP-0580-RATES-O4-V1

Maths4U Original · Short practice

A journey covers 135 km in 90 minutes. Separately, a specimen has density \(\displaystyle \frac{14}{5}\) \(\displaystyle \frac{g}{\mathrm{cm}^{3}}\) and volume \(\displaystyle 70 \mathrm{cm}^{3}\). Use density = mass ÷ volume.

Express the specimen density in \(\displaystyle \frac{\mathrm{kg}}{m^{3}}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Length, area, volume and capacity units: check 1
Difficulty: ★★☆
5557
Info
M4U-EXT-QP-0580-METRIC-UNITS-O1

Maths4U Original · Short practice

Convert each stated quantity into the requested metric unit.

Convert 2 m to cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Length, area, volume and capacity units: review variant 1
Difficulty: ★★☆
5558
Info
M4U-EXT-QP-0580-METRIC-UNITS-O1-V1

Maths4U Original · Short practice

Convert each stated quantity into the requested metric unit.

Convert 3 m to cm.

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Length, area, volume and capacity units: check 2
Difficulty: ★★☆
5559
Info
M4U-EXT-QP-0580-METRIC-UNITS-O2

Maths4U Original · Short practice

Convert each stated quantity into the requested metric unit.

Convert \(\displaystyle 4 m^{2}\) to \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Length, area, volume and capacity units: review variant 2
Difficulty: ★★☆
5560
Info
M4U-EXT-QP-0580-METRIC-UNITS-O2-V1

Maths4U Original · Short practice

Convert each stated quantity into the requested metric unit.

Convert \(\displaystyle 5 m^{2}\) to \(\displaystyle \mathrm{cm}^{2}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Length, area, volume and capacity units: check 3
Difficulty: ★★☆
5561
Info
M4U-EXT-QP-0580-METRIC-UNITS-O3

Maths4U Original · Short practice

Convert each stated quantity into the requested metric unit.

Convert 5 litres to \(\displaystyle \mathrm{cm}^{3}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Length, area, volume and capacity units: review variant 3
Difficulty: ★★☆
5562
Info
M4U-EXT-QP-0580-METRIC-UNITS-O3-V1

Maths4U Original · Short practice

Convert each stated quantity into the requested metric unit.

Convert 6 litres to \(\displaystyle \mathrm{cm}^{3}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Length, area, volume and capacity units: check 4
Difficulty: ★★☆
5563
Info
M4U-EXT-QP-0580-METRIC-UNITS-O4

Maths4U Original · Short practice

Convert each stated quantity into the requested metric unit.

Convert \(\displaystyle 5000 \mathrm{mm}^{3}\) to \(\displaystyle \mathrm{cm}^{3}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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Length, area, volume and capacity units: review variant 4
Difficulty: ★★☆
5564
Info
M4U-EXT-QP-0580-METRIC-UNITS-O4-V1

Maths4U Original · Short practice

Convert each stated quantity into the requested metric unit.

Convert \(\displaystyle 6000 \mathrm{mm}^{3}\) to \(\displaystyle \mathrm{cm}^{3}\).

Enter one exact number or fraction unless the question specifies rounding. If it asks for a coefficient of π, enter that coefficient only. Give full reasoning separately for written problems.

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