Units and accuracy

Whether the units work out through a calculation, which quantity to measure in the first place, and how many digits an answer may honestly carry.

4 sheets · 20 questions · one answer key · 5 pages

Recommended for grades 9–10

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Do the units work? Sheet 1 of 4

Units and accuracyUnits in a calculation

Name: Date:

Track the units. Circle the unit the answer comes out in.

1A rectangle is 11 m long and 3 m wide. What unit does 11 × 3 have?mm³m²m⁴

2A faucet is opened and fills 8 liters per minute for 30 minutes. What unit does 8 × 30 have?liters per minuteminuteslitersliters per minute per minute

3A rectangle is 9 ft long and 4 ft wide. What unit does 9 + 4 + 9 + 4 have?ft²ftft³ft⁴

4A box is 12 cm by 5 cm by 4 cm. What unit does 12 × 5 × 4 have?cm²cm³cmcm⁴

512 apples cost $5 altogether. What unit does 5 ÷ 12 have?dollarsdollars per appleapplesapples per dollar

Units and accuracyChoosing a quantity

Name: Date:

Circle the quantity that lets two different-sized groups be compared.

1Two classes read for 3 weeks and 8 weeks. Which compares how much they read?books readweeks spent readingnumber of studentsbooks per week

2Two schools have 450 students and 1200 students. Which compares how crowded they are?number of studentsnumber of teachersstudents per classroomnumber of classrooms

3Two farms cover 200 acres and 550 acres. Which compares what they grew?tons harvestedacres plantedtons per acrenumber of tractors

4Two towns have 20,000 homes and 50,000. Which compares how much they recycle?pounds recyclednumber of homespounds per homenumber of collection days

5Two vans drove 180 miles and 450 miles. Which compares their fuel use?gallons usedmiles drivengallons per milenumber of stops

Units and accuracyHow many digits to report

Name: Date:

Circle the reading that the measuring tool could honestly give.

1A tape reads to the nearest inch. Which reading could it not have given?18 in72 in31.5 in45 in

2A ruler reads to the nearest 0.1 cm. Which reading could it not have given?6.8 cm10.0 cm4.75 cm7.3 cm

3A scale reads to the nearest 0.5 kg. Which reading could it not have given?2.0 kg11.5 kg10.7 kg6.5 kg

4A thermometer reads to the nearest 1 °F. Which reading could it not have given?74.5 °F68 °F71 °F83 °F

5A jug reads to the nearest 0.1 L. Three pours: 5.6, 2.2, 3.1 L. What is the total?10.90 L10.9 L11 L8.7 L

Units and accuracyUnits, quantities and accuracy

Name: Date:

Think about what is measured, and how finely. Circle the best answer.

1A bus goes 450 miles on 15 gallons of fuel. What unit does 450 ÷ 15 have?milesmiles per gallongallonsgallons per mile

2A ruler reads to the nearest 0.1 cm. Which reading could it not have given?6.8 cm10.0 cm4.75 cm7.3 cm

3Two cities have 60,000 people and 180,000. Which compares how safe they are?crimes per 1,000 peoplenumber of crimesnumber of peoplenumber of police officers

4A rectangle is 9 m long and 4 m wide. What unit does 9 × 4 have?mm²m³m⁴

5Two clinics open 30 hours a week and 60 hours. Which compares how busy they are?patients seenhours openpatients per hournumber of doctors

Power Pack · Units and accuracyAnswer key

Do the units work?

1. A rectangle is 11 m long and 3 m wide. → m²2. A faucet is opened and fills 8 liters per minute for 30 minutes. → liters3. A rectangle is 9 ft long and 4 ft wide. → ft4. A box is 12 cm by 5 cm by 4 cm. → cm³5. 12 apples cost $5 altogether. → dollars per apple

Which quantity?

1. Two classes read for 3 weeks and 8 weeks. → books per week2. Two schools have 450 students and 1200 students. → students per classroom3. Two farms cover 200 acres and 550 acres. → tons per acre4. Two towns have 20,000 homes and 50,000. → pounds per home5. Two vans drove 180 miles and 450 miles. → gallons per mile

How many digits?

1. A tape reads to the nearest inch. → 31.5 in2. A ruler reads to the nearest 0.1 cm. → 4.75 cm3. A scale reads to the nearest 0.5 kg. → 10.7 kg4. A thermometer reads to the nearest 1 °F. → 74.5 °F5. A jug reads to the nearest 0.1 L. Three pours: 5.6, 2.2, 3.1 L. → 10.9 L

Mixed

1. A bus goes 450 miles on 15 gallons of fuel. → miles per gallon2. A ruler reads to the nearest 0.1 cm. → 4.75 cm3. Two cities have 60,000 people and 180,000. → crimes per 1,000 people4. A rectangle is 9 m long and 4 m wide. → m²5. Two clinics open 30 hours a week and 60 hours. → patients per hour

Units and accuracy

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