Income Tax Question from ACCA website (Example 2)

Good Day
I was practising the questions and came across this one:

EXAMPLE 2
For the tax year 2020-21, May has a trading profit of £159,000. During the year, May made net personal pension contributions of £32,000 and a net gift aid donation of £9,600. Her income tax liability is:

The answer was:

Trading profit
159,000
Personal allowance

(9,000)
______
Taxable income

150,000
______
Income tax:
37,500 at 20%
52,000 at 20%
60,500 at 40%

7,500
10,400
24,200
______
Tax liability 42,100

My question is, how come we didn’t include the nil rate band of 500 @ 0% for higher rate tax payers since the taxable income is 150 000 which is within the higher rate tax band?
I have done all other calculations correctly except for adding in this nil rate band?