CBSE Class 5 Mathematics Geometry Basics Worksheet

Unit 6. Geometry Basics

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Question 1. The two sides that meet at a corner form an __________.
Answer: angle
In simple words: When two straight lines meet at a common point, they form an angle.

Exam Tip: Remember that the corner point where the two sides meet is called the vertex.

Question 2. A __________ is the basic unit of geometry. Conservancy / Point.
Answer: point
In simple words: A point is the fundamental building block of all geometric shapes.

Exam Tip: A point has no length, breadth, or thickness; it only indicates a position.

Question 3. A __________ shows an exact location.
Answer: point
In simple words: Points are used on maps and graphs to mark specific positions.

Question 4. A __________ is a collection of points going endlessly in both directions along a straight path.
Answer: line
In simple words: A line goes on forever in opposite directions without ending.

Exam Tip: A line has no endpoints, which distinguishes it from a line segment and a ray.

Question 5. A __________ is part of a line.
Answer: line segment (or ray)
In simple words: A line segment is a piece taken from a line.

Exam Tip: Both line segments and rays are parts of a line.

Question 6. A __________ has two endpoints.
Answer: line segment
In simple words: A line segment has a fixed beginning and a fixed end.

Exam Tip: Because it has two endpoints, a line segment has a measurable length.

Question 7. A ray is part of a __________.
Answer: line
In simple words: A ray originates from a line and extends infinitely in one direction.

Exam Tip: Think of a ray like a beam of light starting from a torch.

Question 8. A ray has __________ end point.
Answer: one
In simple words: A ray starts at one fixed point and goes on forever in the other direction.

Exam Tip: The starting point of a ray is called its initial point.

Question 9. When two rays have a common endpoint they form an __________.
Answer: angle
In simple words: Two rays starting from the same spot create an opening known as an angle.

Exam Tip: The common endpoint is the vertex of the angle.

Question 10. The common end point of 2 rays is called __________.
Answer: vertex
In simple words: The corner point where the two rays join is the vertex.

Exam Tip: In angle notation like \(\angle ABC\), the middle letter always represents the vertex.

Question 11. An angle that measures \(90^\circ\) is a __________ angle.
Answer: right
In simple words: A square corner forms a right angle measuring \(90^\circ\).

Exam Tip: Right angles are often marked with a small square at the vertex.

Question 12. An angle is formed by two __________ having a common end point.
Answer: rays (or arms / sides)
In simple words: The two straight lines or rays that make up an angle are its arms.

Exam Tip: The rays are also referred to as the arms of the angle.

Question 13. An __________ angle is smaller than a right angle.
Answer: acute
In simple words: Angles smaller than \(90^\circ\) are acute angles.

Exam Tip: Acute angles look sharp and closed up.

Question 14. An acute angle is more than __________ but less than __________.
Answer: \(0^\circ\), \(90^\circ\)
In simple words: An acute angle lies strictly between zero degrees and ninety degrees.

Question 15. An __________ angle is bigger than a right angle.
Answer: obtuse
In simple words: An obtuse angle opens up wider than a right angle.

Exam Tip: Obtuse angles measure more than \(90^\circ\).

Question 16. An obtuse angle is more than __________ but less than __________.
Answer: \(90^\circ\), \(180^\circ\)
In simple words: Obtuse angles are wider than a right angle but narrower than a straight line.

Exam Tip: Memorize the ranges: Acute (\(< 90^\circ\)), Right (\(= 90^\circ\)), Obtuse (\(90^\circ < \text{angle} < 180^\circ\)).

Question 17. A __________ angle is the same as two right angles.
Answer: straight
In simple words: Two right angles placed side by side make a straight line (\(90^\circ + 90^\circ = 180^\circ\)).

Exam Tip: A straight angle forms a completely flat line.

Question 18. A straight angle measures exactly __________.
Answer: \(180^\circ\)
In simple words: The measurement of a straight angle is always \(180^\circ\).

Exam Tip: Think of it as pointing in exactly opposite directions from the vertex.

Question 19. An angle that measures \(180^\circ\) is an __________ angle. (Note: reading from image '180' context / straight angle)
Answer: straight
In simple words: An angle of \(180^\circ\) is called a straight angle.

Exam Tip: Ensure you distinguish between \(90^\circ\) (right) and \(180^\circ\) (straight).

Question 20. A ray extends endlessly in __________ direction.
Answer: one
In simple words: A ray has a starting endpoint and goes on infinitely in only one direction.

Exam Tip: Lines go in two directions; rays go in one direction.

Question 21. We cannot measure a ray and a __________.
Answer: line
In simple words: Because lines and rays go on forever, their lengths cannot be measured.

Exam Tip: Only line segments have a definite, measurable length.

Question 22. A __________ is a unit of measurement used for measuring angles.
Answer: degree
In simple words: Angles are measured in units called degrees (\(^\circ\)).

Exam Tip: Always write the degree symbol \(^\circ\) after the number when giving an angle measurement.

Question 23. We use a __________ to measure angles.
Answer: protractor
In simple words: A protractor is the standard geometry tool used to find angle sizes.

Question 24. The length of the arms does not affect the measure of the __________.
Answer: angle
In simple words: Making the arms of an angle longer or shorter does not change how wide the angle is.

Exam Tip: Angle measure depends only on the amount of turning between the arms, not their length.

Question 25. The two sets of measurements written on the protractor are called __________.
Answer: inner scale and outer scale
In simple words: A protractor has two rows of numbers running in opposite directions to make measuring easy from either side.

Exam Tip: Use the inner scale if the angle starts on the right, and the outer scale if it starts on the left.

Divide. Check your answer with multiplication

Question 1). \(0.85 \div 5\)
Answer:
\(0.85 \div 5 = 0.17\)
Check with multiplication:
\(0.17 \times 5 = 0.85\)
In simple words: Divide 85 hundredths by 5 to get 17 hundredths. Multiply back to verify.

Exam Tip: Place the decimal point directly above the decimal point in the dividend during long division.

Question 2). \(17.73 \div 3\)
Answer:
\(17.73 \div 3 = 5.91\)
Check with multiplication:
\(5.91 \times 3 = 17.73\)
In simple words: Divide 17.73 by 3 step by step to obtain 5.91.

Exam Tip: Double-check each digit subtraction in long division to avoid remainder errors.

Question 3). \(27.54 \div 9\)
Answer:
\(27.54 \div 9 = 3.06\)
Check with multiplication:
\(3.06 \times 9 = 27.54\)
In simple words: Divide 27.54 by 9 to get 3.06.

Exam Tip: Pay special attention to placeholder zeros when a digit in the tenths place is less than the divisor.

Question 4). \(7.2 \div 12\)
Answer:
\(7.2 \div 12 = 0.6\)
Check with multiplication:
\(0.6 \times 12 = 7.2\)
In simple words: Divide 7.2 by 12 to yield 0.6.

Exam Tip: Remember that \(72 \div 12 = 6\), so \(7.2 \div 12 = 0.6\).

Divide until the remainder is zero

Question 1). \(90.3 \div 6\)
Answer:
\(90.3 \div 6 = 15.05\)
In simple words: Continue dividing by adding a zero in the decimal places until the remainder becomes zero.

Exam Tip: You can append as many trailing zeros after the decimal point as needed to make the remainder zero.

Question 2). \(7.4 \div 4\)
Answer:
\(7.4 \div 4 = 1.85\)
In simple words: Divide 7.4 by 4 by annexing a zero to make it 7.40, resulting in 1.85.

Exam Tip: Set up the decimal point carefully before starting division.

Question 3). \(3.5 \div 7\)
Answer:
\(3.5 \div 7 = 0.5\)
In simple words: 35 divided by 7 is 5, so 3.5 divided by 7 is 0.5.

Exam Tip: Always check if the whole number part is smaller than the divisor, which places a 0 before the decimal.

Question 4). \(3.1 \div 4\)
Answer:
\(3.1 \div 4 = 0.775\)
In simple words: Convert 3.1 to 3.100 and divide by 4 to get 0.775.

Exam Tip: Annex zeros successively to the right of the decimal dividend until the division terminates with a zero remainder.