Lesson details

Key learning points

  1. In this lesson, we will explore how we can use quadratic graphs to solve maximum and minimum problems.

Licence

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.

Loading...

5 Questions

Q1.
Select the word that best fills in the gap: Sometimes ___________ can be used to model situations.
expanding
factorisation
mathematical contexts
Correct answer: quadratics
Q2.
"I think of two numbers with a difference of 3 and multiply them together." Which expression bests represents the statement?
3x
3x + 3
x - 3
Correct answer: x(x+3)
Q3.
A square is cut out of the rectangle. Give an expression for the area.
Option 1
Correct answer: Option 2
Option 3
Option 4
Q4.
A square is cut out of the rectangle. What is the maximum area?
60 cm²
62 cm²
Correct answer: 64 cm²
80 cm²
Q5.
A square is cut out of the rectangle. What is the minimum area?
0 cm²
16 cm²
4 cm²
Correct answer: 48 cm²
64 cm²

6 Questions

Q1.
The length and width of a rectangle add to 4cm. Stacey thinks only 2 different rectangles are possible. Do you agree?
Correct answer: No, Stacey is incorrect, there are more than 2 different rectangles.
No, Stacey is incorrect, there is only 1 possible rectangle.
Yes, Stacey is correct.
Q2.
A rectangle's length is 2cm greater than its width. Which expression gives the area?
2x + 4
2x cm²
Correct answer: x (x + 2)
x² + 2
Q3.
A triangle's height is 4 times greater than its base. Which expression gives the area?
Correct answer: 2x²
4x²
5x
5x²
Q4.
The length and width of a rectangle add to 14 cm. Which expression gives the area?
14 - x²
14x - 4x²
Correct answer: 14x - x²
14x²
Q5.
The length and width of a rectangle add to 14 cm. What is the largest possible area?
14 cm²
196 cm²
40 cm²
Correct answer: 49 cm²
56 cm²
Q6.
A triangle has a base and height that sum to 20cm. What is the upper bound of the triangle's area?
10 cm²
100 cm²
Correct answer: 50 cm²
There is not an upper bound.

Lesson appears in

UnitMaths / Quadratic expressions (9.9)