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Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.


GCSE Higher

Students in Year 10 at Riverdale High School can choose two different courses for their Friday afternoon elective lessons. Their two choices must be from two different school departments.

How many different ways are there of choosing two courses?


GCSE Higher

A restaurant offers 6 starters, 14 main courses and 5 different desserts.

The promotion of the month offers a discount on certain meals. A customer can choose from one of the following:

Show that there are 184 different ways of choosing a meal for this promotion.


GCSE Higher
Reading the menu

Michael decides to order a starter and a main course from the restaurant menu.

On the menu there is a choice of 12 different starters.

Michael thinks that there are enough main courses to provide exactly 222 different ways of choosing one starter and one main course.

Could Michael be correct?

You must show all of the working you would use to show how you arrived at your answer.


GCSE Higher

Patty O'Dores is reading the menu in a restaurant.

There are 4 starters, 9 main courses and some desserts on the menu.

Patty is going to choose one starter, one main course and one dessert.

She says there are 360 ways that she can choose her starter, main course and dessert.

How many desserts are on the menu?


GCSE Higher

There are four dials on a combination lock.

Each dial can be set to one of the numbers 1, 2, 3, 4.

The four digit number 4234 is one way the dials can be set, as shown in the diagram.

Combination Lock

(a) Work out the number of different four digit numbers that can be set for the combination lock.

(b) How many of the possible four digit numbers have four different digits?

If you would like space on the right of the question to write out the solution try this Thinning Feature. It will collapse the text into the left half of your screen but large diagrams will remain unchanged.

The exam-style questions appearing on this site are based on those set in previous examinations (or sample assessment papers for future examinations) by the major examination boards. The wording, diagrams and figures used in these questions have been changed from the originals so that students can have fresh, relevant problem solving practice even if they have previously worked through the related exam paper.

The solutions to the questions on this website are only available to those who have a Transum Subscription.


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