MCQ Collection

New South Wales HSC Mathematics MCQs

Practice New South Wales HSC Mathematics questions with answers and explanations.

nsw-hsc New South Wales HSC Mathematics AustraliaMedium

Data task 55: A New South Wales senior class applies the information to a coastal community planning problem. A sample contains 19 compliant and 5 non-compliant records. One is chosen at random. What is the probability it is compliant?

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaMedium

Data task 56: A New South Wales senior class applies the information to a coastal community planning problem. Solve 5x + 3 = 213.

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaMedium

Data task 57: A New South Wales senior class applies the information to a coastal community planning problem. An indicator rises from 169 to 187. What is the percentage increase to one decimal place?

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaMedium

Data task 58: A New South Wales senior class applies the information to a coastal community planning problem. A scanner processes 36 files per minute for 35 minutes. How many files are processed?

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaMedium

Data task 59: A New South Wales senior class applies the information to a coastal community planning problem. An item priced at $238 is discounted by 30%. What is the sale price?

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaHard

Data task 60: A New South Wales senior class applies the information to a coastal community planning problem. How many different groups of 6 can be selected from 19 people?

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaMedium

Data task 48: A New South Wales senior class applies the information to a coastal community planning problem. A scanner processes 26 files per minute for 70 minutes. How many files are processed?

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaMedium

Data task 49: A New South Wales senior class applies the information to a coastal community planning problem. An item priced at $228 is discounted by 10%. What is the sale price?

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaHard

Data task 50: A New South Wales senior class applies the information to a coastal community planning problem. How many different groups of 6 can be selected from 9 people?

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaMedium

Data task 51: A New South Wales senior class applies the information to a coastal community planning problem. A service recorded 71 requests and then increased the total by 5%. What was the new total?

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaMedium

Data task 52: A New South Wales senior class applies the information to a coastal community planning problem. A grant of 299 units is split in the ratio 7:6. How many units go to the first project?

Choose an option to check your answer.

nsw-hsc New South Wales HSC Mathematics AustraliaMedium

Data task 53: A New South Wales senior class applies the information to a coastal community planning problem. A field team travels 361 km at an average speed of 45 km/h. How long does the trip take, to two decimals?

Choose an option to check your answer.