Mathematics Second Unit Test 2024-25

Govind Padvi
Mathematics Unit Test - Standard 5th

Jay Malhar Primary School, Bale

Second Unit Test 2024-25

Standard: 5th     Subject: Mathematics     Marks: 20

Q.1 Decimal (3 marks)

  1. Convert the following decimals to fractions:
    • a) 0.75 [Show Answer]
      0.75 = 75/100 = 3/4 (Since 75 and 100 have a common factor of 25, divide both by 25)
    • b) 0.6 [Show Answer]
      0.6 = 6/10 = 3/5 (Dividing both numerator and denominator by 2 simplifies the fraction)
  2. Add the following decimals:
    • a) 5.25 + 2.75 [Show Answer]
      8.00 (Adding 5.25 and 2.75 column-wise results in 8.00)
  3. Subtract the following decimals:
    • a) 9.5 - 4.35 [Show Answer]
      5.15 (Subtracting 4.35 from 9.5 column-wise results in 5.15)

Q.2 Measuring Time (3 marks)

  1. Fill in the blanks:
    • a) 1 hour = [Show Answer]
      60 minutes (Since each hour is divided into 60 equal minutes)
    • b) 1 day = [Show Answer]
      24 hours (Since a full rotation of Earth takes 24 hours)
    • c) 1 minute = [Show Answer]
      60 seconds (Each minute consists of 60 equal seconds)
  2. Solve: If the current time is 2:15 PM, what will be the time 3 hours and 45 minutes later? [Show Answer]
    6:00 PM (Adding 3 hours gives 5:15 PM, then adding 45 minutes results in 6:00 PM)

Q.3 Problems on Measurement (6 marks)

  1. Solve the following:
    • a) Convert 3500 milliliters to liters [Show Answer]
      3.5 liters (Since 1000 milliliters make 1 liter, dividing 3500 by 1000 gives 3.5 liters)
    • b) Convert 6 kilometers 500 meters to meters [Show Answer]
      6500 meters (1 km = 1000 meters, so 6 km = 6000 meters + 500 meters = 6500 meters)
    • c) A rectangle has a length of 12 cm and a width of 5 cm. Find its area [Show Answer]
      60 cm² (Area = Length × Width = 12 × 5 = 60 cm²)

Q.4 Perimeter and Area (6 marks)

  1. Find the perimeter of a rectangle with length 8 cm and width 5 cm [Show Answer]
    26 cm (Perimeter = 2 × (Length + Width) = 2 × (8 + 5) = 2 × 13 = 26 cm)
  2. Find the area of a square with side 6 cm [Show Answer]
    36 cm² (Area = Side × Side = 6 × 6 = 36 cm²)

Here are the answers to the questions in the given test paper:

Q.1 Decimal (3 marks)

  1. Convert the following decimals to fractions:
    a) 0.75 = 75100=34\frac{75}{100} = \frac{3}{4}
    b) 0.6 = 610=35\frac{6}{10} = \frac{3}{5}

  2. Add the following decimals:
    a) 5.25 + 2.75 = 8.00

  3. Subtract the following decimals:
    a) 9.5 - 4.35 = 5.15

Q.2 Measuring Time (3 marks)

  1. Fill in the blanks:
    a) 1 hour = 60 minutes
    b) 1 day = 24 hours
    c) 1 minute = 60 seconds

  2. Solve:
    If the time is 2:15 PM now, the time 3 hours and 45 minutes later will be:
    2:15 PM + 3 hours = 5:15 PM
    5:15 PM + 45 minutes = 6:00 PM
    Final Answer: 6:00 PM

Q.3 Problems on Measurement (6 marks)

  1. Solve the following:
    a) Convert 3500 milliliters to liters:
    1 liter = 1000 milliliters
    3500 ÷ 1000 = 3.5 liters
    Answer: 3.5 liters

    b) Convert 6 kilometers 500 meters to meters:
    1 kilometer = 1000 meters
    6 km = 6000 meters
    Total: 6000 + 500 = 6500 meters
    Answer: 6500 meters

    c) Find the area of a rectangle:
    Length = 12 cm, Width = 5 cm
    Area = Length × Width = 12 × 5 = 60 cm²
    Answer: 60 cm²

Q.4 Perimeter and Area (6 marks)

  1. Find the perimeter of a rectangle:
    Length = 8 cm, Width = 5 cm
    Perimeter = 2 × (Length + Width) = 2 × (8 + 5) = 2 × 13 = 26 cm
    Answer: 26 cm

  2. Find the area of a square with side 6 cm:
    Area = Side × Side = 6 × 6 = 36 cm²
    Answer: 36 cm²