Perimeter inequalities

Perimeter inequalities

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Lesson details

Key learning points

  1. In this lesson, we will learn how to establish inequalities from perimeter expressions.

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This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

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5 Questions

Q1.
Perimeter is the total _____ of all sides of a shape. When the side lengths are written algebraically the perimeter can be written as an _______.
length, equation
Correct answer: length, expression
weight, equation
weight, expression
Q2.
Which of the following is an expression for the perimeter of this shape? (Use the definitions from the lesson.)
An image in a quiz
Correct answer: 2p + 4q
4p + 2q
6p
6q
Q3.
Which of the following is an expression for the perimeter of this shape? (Use the definitions from the lesson.)
An image in a quiz
2p + 4q
Correct answer: 4p + 2q
6p
6q
Q4.
Which of the following is an expression for the perimeter of this image? (Use the definitions from the lesson.)
An image in a quiz
12p + 2q
Correct answer: 12p + 4q
16pq
6p + 10q
Q5.
Which of the following is an expression for the perimeter of this image? (Use the definitions from the lesson.)
An image in a quiz
12p + 2q
Correct answer: 12p + 4q
16pq
6p + 10q

5 Questions

Q1.
Fill in the gap: We can use an ______ to compare the lengths and perimeters of different lines and shapes.
Equality
Equation
Expression
Correct answer: Inequality
Q2.
Using the image, decide which of the following is true.
An image in a quiz
r < p
r < q
r = q
Correct answer: r > q
Q3.
Which inequality best compares the expressions for the perimeters of the 2 shapes below?
An image in a quiz
8p + q < 6p + q
Correct answer: 8p + q > 6p + q
8q + p < 6q + p
8q + p > 6q + p
Q4.
Which inequality best compares the expressions for the perimeters of the 2 shapes below?
An image in a quiz
4p < 2p + q
4p < 3p
Correct answer: 4p > 2p + q
4p > 3p
Q5.
Which inequality best compares the expressions for the perimeters of the 2 shapes below?
An image in a quiz
7p + q < 7p + 2q
7p + q > 7p + 2q
Correct answer: 7p + r < 7p + q + r
7p + r > 7p + q + r

Lesson appears in

UnitMaths / Expressions, equations and inequalities