Chord: Problem Solving & Reasoning
Mathematics
Grade 6
11 questions
~22 mins
1 views0 downloads
About This Worksheet
A worksheet focusing on understanding and applying the concept of chords in circles through problem solving and reasoning tasks.
Worksheet Preview
Full preview • 11 questions
Chord: Problem Solving & Reasoning
Subject: MathematicsGrade: Grade 6
Name:
Date:
TeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizzTeachWhizz
Untitled Worksheet
Grade Grade 6
A
Practice Questions
Answer all questions. Show your working in the grid spaces provided.
1.
In a circle with radius 7 cm, a chord is 10 cm long. Calculate the perpendicular distance from the center of the circle to the chord.
[3 marks]2.
A chord in a circle measures 12 cm. If the radius of the circle is 13 cm, find the distance from the center of the circle to the chord.
[3 marks]3.
Construct a circle with a radius of 5 cm and draw a chord that is 8 cm long. Mark the center and measure the perpendicular distance from the center to the chord.
[4 marks]4.
Identify the error in the following statement: 'All chords in a circle are equal in length.'
[2 marks]5.
A circle has a diameter of 20 cm. A chord is drawn 6 cm away from the center. What is the length of the chord?
[4 marks]6.
A chord divides a circle into two segments. The length of the chord is 14 cm. If the radius of the circle is 10 cm, determine the area of the segment on one side of the chord.
[5 marks]7.
In a circle, the distance from the center to a chord is 3 cm. The radius of the circle is 8 cm. Calculate the length of the chord.
[3 marks]8.
Construct a circle with radius 6 cm and draw a chord that is 10 cm long. Find the perpendicular distance from the center to the chord and verify your construction.
[4 marks]9.
A chord in a circle measures 15 cm. The distance from the center to the chord is 9 cm. What is the radius of the circle?
[3 marks]10.
Identify and explain the mistake in this reasoning: 'Since a chord is closer to the center, it must be longer than other chords.'
[4 marks]11.
Given a circle with radius 9 cm, a chord is drawn such that it is 4 cm from the center. Calculate the length of this chord.
[3 marks]Quick Actions
What is Remix?
Create a new worksheet based on this one. Change the grade level, topic, number of questions, or difficulty - then generate a fresh version.
- • Change grade level (Grade 6 → Grade 7)
- • Swap topics (Harry Potter → Macbeth)
- • Add more questions (10 → 15)
- • Adjust difficulty
Details
- Created
- 1/1/2026
- Updated
- 1/1/2026
- Type
- worksheet