Decimal operations Transitional Reasoning Download PDF

Questions

1. 1.

   An electric delivery scooter begins its morning shift with a fully charged battery holding 18.5 kWh of energy. The courier rides 34.8 kilometers on flat roads consuming 0.25 kWh per kilometer, and 12.5 kilometers on hilly roads consuming 0.44 kWh per kilometer. During a lunch break, the scooter is connected to a fast charger for 0.75 hours that replenishes energy at a rate of 4.8 kWh per hour. What is the remaining battery energy, in kilowatt-hours (kWh), at the end of the lunch break?

   • A) 0.7 kWh
   • B) 4.3 kWh
   • C) 7.9 kWh
   • D) 9.1 kWh
2. 2.

   An environmental research station monitors the water level of an outdoor reservoir that begins the week with a depth of 42.6 centimeters. During the week, rainfall adds 3.85 centimeters of water on Tuesday and 5.4 centimeters on Thursday. Throughout all 7 days of the week, sunny weather causes water to evaporate steadily at a rate of 1.75 centimeters per day. What is the reservoir's water depth, in centimeters, at the end of the 7-day week?

   • A) 43.1 cm
   • B) 39.6 cm
   • C) 35.75 cm
   • D) 45.6 cm
3. 3.

   A carpenter starts with a wooden beam measuring 5.85 meters in length. She cuts 4 identical support posts from the beam, each requiring 0.85 meters of wood. She then cuts the entire remaining length of the beam into smaller shelf brackets that each measure 0.35 meters. How many complete shelf brackets can the carpenter make?

   • A) 4
   • B) 5
   • C) 6
   • D) 7
4. 4.

   Liam purchases supplies to make an eco-friendly cleaning mixture for a science project: 2.5 liters of distilled water at $1.20 per liter, 0.75 liters of white vinegar at$2.40 per liter, and 3 identical spray bottles at $4.15 each. If he pays for these items using a single$20 bill, how much change should he receive?

   • A) $2.75
   • B) $3.75
   • C) $11.05
   • D) $17.25