The Class 9 Maths Chapter 5 I’m Up and Down, and Round and Round Worksheet with Answers PDF helps students understand changing patterns, repeated movements, graphs, and circle-based concepts through structured practice questions. This chapter introduces CBSE Board students to mathematical ideas that explain real-life movements such as rotating wheels, swings, and other repeating patterns.
This worksheet is prepared to improve conceptual understanding and problem-solving ability through different types of questions. Students can practice graph interpretation, periodic changes, and geometry questions with detailed answers.
These Worksheets are useful for revision, homework practice, and exam preparation. Students looking for Class 9 Worksheets can use this chapter-wise practice material to strengthen their basics. The Class 9 Maths Worksheets include concept-based, application-based, and exam-level questions to help students develop better mathematical thinking.
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Students can download the Chapter 5 I’m Up and Down, and Round and Round Maths Worksheet PDF to practice important questions anytime. This worksheet includes carefully arranged questions with solutions to help students revise important concepts from Class 9 Maths Chapter 5.
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Class 9 I’m Up and Down, and Round and Round Worksheet Questions
Concept-Based Questions
Question 1:
A giant wheel moves in a circular path. The height of a person sitting on the wheel changes continuously with time. What type of pattern does this movement show?
Question 2:
Observe a repeating pattern where values increase, decrease, and then repeat after equal intervals. What is this type of pattern called?
Question 3:
Look at the values of a function that changes between a highest point and lowest point repeatedly. Explain why such a graph does not form a straight line.
Question 4:
A circle has centre O and points A, B, and C on its boundary. Explain why OA, OB, and OC have the same length.
Question 5:
Write two examples from daily life where you observe up-and-down or round-and-round motion.
Application-Based Questions
Question 6:
A Ferris wheel completes one full rotation and returns a passenger to the same height after every 5 minutes. Explain how this represents a periodic pattern.
Question 7:
The value of a function changes as:
0 → 1 → 0 → -1 → 0
If this pattern continues repeatedly, identify the maximum and minimum values.
Question 8:
A chord AB of a circle is 8 cm long. The perpendicular distance from the centre O to chord AB is 3 cm. Find the radius of the circle.
Question 9:
Two chords of a circle are equal in length. What can you say about their distances from the centre of the circle?
Question 10:
A rotating wheel creates a repeated pattern when its height is plotted against time. Describe the expected shape of the graph.
Exam-Level Questions
Question 11:
A circle has two parallel chords of lengths 6 cm and 8 cm. The radius of the circle is 5 cm, and the chords are on opposite sides of the centre. Find the distance between both chords.
Question 12:
An equilateral triangle ABC is drawn inside a circle. Prove that the centre of the circle is at an equal distance from all three vertices.
Question 13:
Explain how mathematical graphs can represent real-life movements such as swings, waves, or rotating wheels.
Question 14:
A periodic graph reaches its highest value at 4 units and lowest value at -4 units. Identify its maximum and minimum values.
Question 15:
Why does circular movement often create a repeating up-and-down pattern when represented on a graph?
Class 9 I’m Up and Down, and Round and Round Worksheet Answer Key
Answer 1:
The movement shows a periodic pattern because the same positions repeat after regular intervals.
Answer 2:
It is called a periodic or repeating pattern.
Answer 3:
The graph does not form a straight line because the value continuously increases and decreases in a repeated manner.
Answer 4:
OA, OB, and OC are radii of the same circle. All radii of a circle are equal.
Answer 5:
Examples include:
Movement of a swing
Rotation of a wheel
Answer 6:
The Ferris wheel represents a periodic pattern because after every 5 minutes the same height and position repeat.
Answer 7:
Maximum value = 1
Minimum value = -1
Answer 8:
The perpendicular from the centre divides the chord into two equal parts.
Half of chord = 8 ÷ 2 = 4 cm
Using Pythagoras theorem:
Radius² = 4² + 3²
= 16 + 9
= 25
Radius = 5 cm
Answer 9:
Equal chords of the same circle are at equal distances from the centre.
Answer 10:
The graph forms a wave-like repeating curve because the height increases and decreases continuously.
Answer 11:
For 8 cm chord:
Half chord = 4 cm
Distance from centre:
√(5² − 4²)
= √(25 − 16)
= 3 cm
For 6 cm chord:
Half chord = 3 cm
Distance from centre:
√(5² − 3²)
= √(25 − 9)
= 4 cm
Distance between chords = 3 + 4 = 7 cm
Answer 12:
In an equilateral triangle, all sides are equal. The vertices lie on the circle, and the distance from the centre of the circle to every vertex represents the radius. Since all radii of a circle are equal, the centre is equidistant from all three vertices.
Answer 13:
Graphs show how a quantity changes with time. Repeating movements such as swings, waves, and wheels create periodic graphs because their positions repeat after fixed intervals.
Answer 14:
Maximum value = 4 units
Minimum value = -4 units
Answer 15:
Circular motion repeats the same positions again and again. When its height changes with time, it creates a repeated up-and-down pattern.
Topics Covered in I’m Up and Down, and Round and Round Worksheet
This Class 9 Maths Chapter 5 worksheet covers the following topics:
| Topic | Concept Practised |
|---|---|
| Periodic Patterns | Understanding repeating mathematical changes |
| Graph Reading | Observing increase and decrease in values |
| Circular Movement | Connecting rotation with mathematical patterns |
| Maximum and Minimum Values | Finding highest and lowest points |
| Circle Geometry | Radius, chords, and centre properties |
| Real-Life Maths Applications | Understanding patterns around us |
Learning Outcomes from I'm Up and Down, and Round and Round Worksheet
After completing the Class 9 Maths Chapter 5 I’m Up and Down, and Round and Round Worksheet, students will be able to:
- Understand periodic changes and repeated mathematical patterns.
- Interpret simple graphs showing changing values.
- Connect circular movement with graphical representation.
- Identify maximum and minimum points in a pattern.
- Apply circle properties related to radius, chords, and centre.
- Solve application-based Maths questions using logical reasoning.
- Improve preparation with Class 9 Maths extra questions with solutions.
Benefits of Solving I’m Up and Down, and Round and Round Worksheet
Solving this Class 9 Maths Chapter 5 worksheet helps students:
- Build a strong understanding of important chapter concepts.
- Practice different types of Maths problems beyond textbook examples.
- Improve analytical and problem-solving skills.
- Prepare effectively for school exams and assessments.
- Learn how mathematical ideas are connected with real-life situations.
- Revise important concepts quickly using questions with answers.
