Shapes and Angles - 1 Class 5 Worksheet Maths

• A rhombus can be defined as a special parallelogram as it fulfills the requirements of a parallelogram, i.e. a quadrilateral with two pairs of parallel sides. 
• In addition to this, a rhombus has all four sides equal just like a square. That is why it is also known as a tilted square. 
• Look at the image below to understand the relationship of rhombus shape with parallelogram and square.
  
  Rhombus

In Geometry, a square is a two-dimensional plane figure with four equal sides and all the four angles are equal to 90 degrees.
Square

A rectangle is a type of quadrilateral that has its parallel sides equal to each other and all the four vertices are equal to 90 degrees.

Rectangle

An irregular quadrilateral is a quadrilateral with four sides that are not regular or the same. An irregular quadrilateral is also known as being the opposite of an equilateral quadrilateral.

A parallelogram is a simple quadrilateral with two pairs of parallel sides.

Parallelogram

A quadrilateral with at least one pair of parallel sides is called trapezoid.

A right angle =90°
So, one-third of a right angle
=1/3×90° = 30°

In Geometry, a square is a two-dimensional plane figure with four equal sides and all the four angles are equal to 90 degrees.
Square

The hands of a clock form an acute angle (an angle less than 90 degrees) at different times during the day. Let's understand it in a simple way:

• From 12:00 to 3:00, the angle between the hour hand and the minute hand gets bigger, but it stays less than 90 degrees for some time. These are the moments when the hands make an acute angle.

• From 9:00 to 12:00, the angle again gets smaller, and there are moments when the angle is less than 90 degrees, forming an acute angle.

Some specific times when the hands form an acute angle are:

• 12:05, 12:10, 12:15, 12:20, and 12:25.
• Between 2:00 and 2:30.
• Between 10:30 and 11:00.

There are many times within each hour when the hands form an acute angle, usually when the minute hand is close to the hour hand.

• A right angle is 90 degrees.
• So, two times 90 degrees = 180 degrees, which forms a straight angle.

• A protractor is a tool used to measure angles.
• It is a semi-circular or circular shape.
• The protractor has markings from 0° to 180° or 0° to 360°.
• Place the center of the protractor at the angle's vertex to measure.
• Read the number on the protractor where the other side of the angle points.

Protactor

Ans:

• L: The letter "L" has a right angle where the vertical line meets the horizontal line.
• T: The letter "T" forms a right angle where the vertical line meets the horizontal top line.
• F: The letter "F" has a right angle where the vertical line meets the horizontal lines.
• E: The letter "E" also has right angles where the vertical line meets the three horizontal lines.
• H: The letter "H" forms right angles where the horizontal line meets the two vertical lines.

To find the duration of the journey, we can subtract the departure time from the arrival time.

• Arrival Time: 5:45 pm
• Departure Time: 9:30 am

Calculating the duration:

• From 9:30 am to 5:30 pm is 8 hours.
• From 5:30 pm to 5:45 pm is 15 minutes.

Total Duration: 8 hours + 15 minutes = 8 hours 15 minutes.

To convert the time into seconds:

• 1 minute = 60 seconds
• 7 minutes = 7 × 60 = 420 seconds
• Total = 420 seconds + 55 seconds = 475 seconds.

0 ° C = 32 °F.

To find the time after 5 hours 15 minutes:

• Start with 22:50 (10:50 pm).
• Adding 5 hours brings us to 03:50 (next day).
• Adding 15 minutes results in 04:05 am.

To find the difference in temperature:

• Maximum Temperature: 37.2 °C
• Minimum Temperature: 15.4 °C

Difference = 37.2 °C - 15.4 °C = 21.8 °C.

To find the last class date:

• Start Date: 22 April
• Duration: 25 days

Ending Date = 22 April + 25 days = 17 May.

5 April + 35 days = 10 May.

To convert into seconds:

• 4 minutes = 4 × 60 = 240 seconds
• Total = 240 seconds + 15 seconds = 255 seconds.

To find the time before 4 hours 25 minutes:

• Start with 2:05 am.
• Subtracting 4 hours brings us to 10:05 pm (previous day).
• Subtracting 25 minutes results in 9:40 pm.