Worksheet on Understanding Elementary Shape for Class 6

Explore basic shapes with our free Class 6 understanding of elementary shape worksheets pdf. This visual learning sheet teaches students about geometric properties, classifications and relationships through drawing and measuring activities. Kids will identify shapes, understand their characteristics and apply geometric concepts in practical situations. Download printable grade 6 understanding elementary shape practice questions, and develop spatial thinking skills.

Solved Questions on Understanding Elementary Shape

1. In the given figure, AOB is a straight line. If ?AOD = 69° and ?BOC = 47°,   what is the value of ?COD?

a) 44°
b) 54°
c) 64°
d) 74°

Answer: c) 64°

Explanation: ?AOD + ?COD + ?BOC = 180° [Supplementary angles]
? 69° + ?COD + 47° = 180°
? ?COD + 116° = 180°
? ?COD = 180° ? 116°
? ?COD = 64°

2. The sum of all the interior angles of a polygon is 2340°. How many sides does the polygon have?

a) 9
b) 11
c) 13
d) 15

Answer: d) 15

Explanation: Sum of interior angles in a polygon = 2340°

? (n ? 2) × 180° = 2340°
? (n ? 2) = 2340°/180°
? n ? 2 = 13
? n = 13 + 2
? n = 15

3. In the given figure, AOC is a straight line. If ?AOE = 90°, ?AOB = 52° and ?COD = 27°. What is the measure of ?EOD?

a) 33°
b) 43°
c) 53°
d) 63°

Answer: d) 63°

Explanation: ?AOE + ?COE = 180° [AOC is a straight line, Linear Pair]

? 90° + ?COE = 180°
? ?COE = 180° ?  90°
? ?COE = 90°
?EOD + ?COD = ?COE (Complementary Angles)
? ?EOD + 27° = 90°
? ?EOD = 90° – 27°
? ?EOD = 63°

4. What is the value of 1.5y?

a) 35°
b) 55°
c) 55°/3
d) 110°/3

Answer: b) 55°

Explanation: Figure shows the complete angle which is 360°.

? y + 75° + 2y + 65° + 3y = 360°
? 6y + 140° = 360°
? 6y = 360° ? 140°
? 6y = 220°
? y = 220°/6
? y =  110°/3

The value of 1.5y is:

? 1.5y =  1.5 × 110°/3 = 55°

5. For an angle z°, What is the value of z°/2 if its supplement is three times its complement?

a) 15 ½°
b) 22 ½°
c) 37 ½°
d) 45°

Answer: b) 22 ½°

Explanation: Supplement of an angle z° is three times its complement.

? Supplement of an angle z° = 3 × Complement of an angle z°
? 180° ? z° = 3 × (90° ? z°)
? 180° ? z° = 270° ? 3z°
? 3z° ? z° = 270° ? 180°
? 2z° = 90°
? z° = 90°/2
? z° = 45°

The value of z°/2  = 45°/2 = 22 ½°