Circle Reasoning - Lesson 3 of 3 - Properties of Shapes

Sep 14, 2026

Year 6 circle reasoning practice sheet focused on solving multi-step geometry problems about circles and related shapes. Learners use key relationships such as diameter being twice the radius, and apply circumference to find travelled distances from a start point to an endpoint after a specified number of wheel rotations. Tasks include calculating circle radii and diameters from given measurements, determining rectangle dimensions formed by intersecting or arranged circles, and computing rectangle area where required.

LanguageEnglish

CategoryExam

FormatPDF

Pages6

Reading Time15 min

AccessFree to download

Circle Reasoning

Solve these reasoning questions

Circle Reasoning Answers

I can solve reasoning questions knowing that the diameter of a circle is twice the radius. Circle Reasoning Solve these reasoning questions. | Question 1
This design is made up of 2 identical circles and a rectangle. Calculate the radius of the circles.
18cm

Radius = cm | Question 2
The scooter travelled from the tree to the pond turning its wheels 25 times. The circumference of the bicycle wheel is 20cm. Calculate the distance from the tree to the pond. | | Question 3
Calculate the diameter of the largest circle:

10mm 8mm

Diameter = cm | | --- | --- | --- | --- | | | | | | | | Distance = m | | | Maths | Year 6 | Properties of Shapes | Parts of a Circle | Lesson 3 of 3: Circle Reasoning I can solve reasoning questions knowing that the diameter of a circle is twice the radius. Circle Reasoning Solve these reasoning questions. | Question 1
This design is made up of six circles, each with a radius of 14cm, inside a rectangle. Calculate the length and width of the rectangle.

Length = cm Width = cm | Question 2
The unicycle travelled from the sea lion to the clown turning its wheel 50 times. The circumference of the unicycle wheel is 1.43m. Calculate the distance from the seal to the clown. | | | Question 3
Calculate the diameter of the second circle:

27mm 10mm 11mm
Diameter = cm | | --- | --- | --- | --- | --- | | | | | | | | | Distance = m | | | | Maths | Year 6 | Properties of Shapes | Parts of a Circle | Lesson 3 of 3: Circle Reasoning I can solve reasoning questions knowing that the diameter of a circle is twice the radius. Circle Reasoning Solve these reasoning questions. | Question 1
This design is made up of four intersecting circles. Each circle has a diameter of 9cm. Calculate the length, width and area of the rectangle.

Area = cm² | Question 2
The tractor travelled from the barn to the windmill turning its wheels 75 times. The circumference of the big tractor wheel is 2.05m. Calculate the distance from the farm to the field. | | | Question 3
Calculate the diameter of the smallest circle:

4. 2cm 12mm

7mm
Diameter = cm | | --- | --- | --- | --- | --- | | | | | | | | | Distance = m | | | | Maths | Year 6 | Properties of Shapes | Parts of a Circle | Lesson 3 of 3: Circle Reasoning Circle Reasoning Answers I can solve reasoning questions knowing that the diameter of a circle is twice the radius. Solve these reasoning questions. | Question 1
This design is made up of 2 identical circles and a rectangle. Calculate the radius of the circles.
18cm

Radius = 4. 5cm | Question 2
The scooter travelled from the tree to the pond turning its wheels 25 times. The circumference of the bicycle wheel is 20cm. Calculate the distance from the tree to the pond. | | Question 3
Calculate the diameter of the largest circle:

10mm 8mm
Diameter = 6. 8cm | | --- | --- | --- | --- | | | | | | | | Distance = 5m | | | Maths | Year 6 | Properties of Shapes | Parts of a Circle | Lesson 3 of 3: Circle Reasoning Circle Reasoning Answers I can solve reasoning questions knowing that the diameter of a circle is twice the radius. Solve these reasoning questions. | Question 1
This design is made up of six circles, each with a radius of 14cm, inside a rectangle. Calculate the length and width of the rectangle.

Length = 84cm Width = 56cm | Question 2
The unicycle travelled from the sea lion to the clown turning its wheel 50 times. The circumference of the unicycle wheel is 1.43m. Calculate the distance from the seal to the clown. | | | Question 3
Calculate the diameter of the second circle:

27mm 10mm 11mm
Diameter = 3. 2cm | | --- | --- | --- | --- | --- | | | | | | | | | Distance = 71. 5m | | | | Maths | Year 6 | Properties of Shapes | Parts of a Circle | Lesson 3 of 3: Circle Reasoning Circle Reasoning Answers

FAQs

What relationship is used to solve the circle reasoning questions?

The questions use the relationship that a circle’s diameter is twice its radius.

How do you calculate the distance travelled using wheel rotations?

Multiply the number of wheel turns by the wheel’s circumference to get the total distance travelled.

What kinds of results are asked for in the problems?

You may be asked to find radii or diameters of circles, rectangle length and width, rectangle area, and distances between locations.

Sep 14, 2026

Uploaded by Nguyễn Văn Học