Switch to our new maths teaching resources

Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.

Play new resources video

Lesson details

Key learning points

  1. In this lesson, we will learn about 'to the power of n'. We will invesigate patterns of exponential growth as the value of n increases for any given base.

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.
If an investment of $500.00 increases by 13% per year for 6 years, the amount it would be at the end of the 6 years would be...
$1,040.97 (to the nearest cent).
Correct answer: $1,040.98 (to the nearest cent).
$578.00 (to the nearest cent).
$825.00 (to the nearest cent).
Q2.
£100.00 decreases by 5% in one year, followed by an increase of 5% in the next year, and then decreases again by 2% for 8 years. What would the final amount be?
£100.00 (to the nearest penny)
£84.00 (to the nearest penny)
Correct answer: £84.86 (to the nearest penny)
£84.87 (to the nearest penny)
Q3.
If a teddy bear depreciates from £3.00 by 18% per year for 5 years, what is the final value of the teddy bear?
£1.10 (to the nearest penny)
Correct answer: £1.11 (to the nearest penny)
£1.12 (to the nearest penny)
£2.10 (to the nearest penny)
Q4.
In order to decrease an amount by 19% for 2 years, I would need to multiply the amount by 0.19^2
Correct answer: False
True
Q5.
In order to increase an amount by 7.5% for 3 years, I would need to multiply the amount by 1.075^3
False
Correct answer: True

5 Questions

Q1.
If y = 2^n, what is the value of y when n = 5?
1
10
2
Correct answer: 32
Q2.
If y = 5^n, what is the value of y when n = -3?
-1/125
-125
Correct answer: 1/125
125
Q3.
You are given that 6^a < 220 < 6^b and that 'a' and 'b' are consecutive integers. What are the values of 'a' and 'b'?
a = 1, b = 4
a = 2, b = 3
Correct answer: a = 3, b = 4
a = 3, b = 7
Q4.
y = 9^x would cut the y-axis at the coordinate...
Correct answer: (0,1)
(1,0)
y = 1
y = 9
Q5.
y = 2x is an example of an exponential.
Correct answer: False
True

Lesson appears in

UnitMaths / Growth and decay