Oblongs

Here are some questions for you about rectangles.
Do not include units when you type in your answers.

Find the shortest side of a rectangle if its area is 48 square units and its perimeter is 28 units.

Find the shortest side of a rectangle if its area is 16 square units and its perimeter is 20 units.

Find the shortest side of a rectangle if its area is 18 square units and its perimeter is 18 units.

Find the longest side of a rectangle if its area is 21 square units and its perimeter is 20 units.

Find the longest side of a rectangle if its area is 14 square units and its perimeter is 18 units.

Find the longest side of a rectangle if its area is 99 square units and its perimeter is 40 units.

Find the difference between the lengths of the longest and shortes sides of a rectangle if its area is 1462 square units and its perimeter is 154 units.

Find the difference between the lengths of the longest and shortes sides of a rectangle if its area is 660 square units and its perimeter is 104 units.

The numerical value of the area of a square is 5 times bigger than its perimeter when measured using the same units. How long is the side of this square?

This last question is about a cuboid. Find the shortest side of a cuboid if its volume is 168 cubed units and its surface area is 188 square units. You might also find it helpful to know that the sum of the length of all 12 sides is 68 units.

 

Instructions
Try your best to answer the questions above. Type your answers into the boxes provided leaving no spaces. When you have finished click the "check" button. If you have any questions wrong, do your best to do corrections but if there is anything you don't understand, please ask your teacher for help.

When you have got all of the questions correct you may want to print out this page and paste it into your exercise book. If you keep your work in an ePortfolio you could take a screen shot of your answers and paste that into your Maths file.

Transum.org

This web site contains hundreds of free mathematical activities for teachers and students. Click here to go to the main page which links to all of the resources available.

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"Imaginative use of ICT should help engage more learners in the excitement of learning. Borrowing ideas from the world of interactive games, we can motivate even reluctant learners to practice complex skills and achieve much more than they would through traditional means. New technologies can attract new kinds of learners into lifelong learning. Wider access to these more compelling learning experiences will contribute to the ambitions of our Skills Strategy to offer employers better support for skills and training."

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"Numeracy is a proficiency which is developed mainly in Mathematics but also in other subjects. It is more than an ability to do basic arithmetic. It involves developing confidence and competence with numbers and measures. It requires understanding of the number system, a repertoire of mathematical techniques, and an inclination and ability to solve quantitative or spatial problems in a range of contexts. Numeracy also demands understanding of the ways in which data are gathered by counting and measuring, and presented in graphs, diagrams, charts and tables."

Secondary National Strategy, Mathematics at key stage 3

Go Maths

Learning and understanding Mathematics, at every level, requires learner engagement. Mathematics is not a spectator sport. Sometimes traditional teaching fails to actively involve students. One way to address the problem is through the use of interactive activities and this web site provides many of those. Click here for more activities designed for students in upper primary and lower secondary level.

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