## Exam-Style Questions.## Problems adapted from questions set for previous Mathematics exams. |

## 1. | GCSE Higher |

Rearrange the following formula to make \(d\) the subject:

$$ a = \frac{b - c}{d + e} $$Circle your answer:

$$ d=\frac{b-c}{a}-e \quad \quad d=\frac{b-c}{a+e} \quad \quad d=\frac{b-c}{a-e} \quad \quad d=e +\frac{b-c}{a} \quad \quad d=e +\frac{a-e}{b-c} $$## 2. | GCSE Higher |

Make \(b\) the subject of the following formula:

$$ a = \frac{5b + 2}{2b - 3} $$## 3. | GCSE Higher |

The following kinematics formula can be used to work out the distance travelled (displacement) of an object travelling with constant acceleration.

$$ s = ut + \frac12 at^2 $$where:

- \(s\) is the distance measured in metres;
- \(t\) is the time measured in seconds;
- \(u\) is the initial speed;
- \(a\) is the acceleration;

(a) Rearrange the formula to make \(u\) the subject.

(b) What units would be associated with speed in this case?

(c) What units would be associated with acceleration?

## 4. | IGCSE Extended |

A circle is drawn inside a square so that it touches all four sides of the square.

(a) If the sides of the square are each \(k\) mm in length and the area of the red shaded region is \(A\) mm^{2} show that:

(b) Make \(k\) the subject of the formula \(4A=4k^2-\pi k^2\)

## 5. | GCSE Higher |

(a) Simplify the following expression.

$$ \frac{x^2 - 4}{3x^2 + 13x + 14}$$(b) Make b the subject of the following formula.

$$ a = \frac{7(3b-c)}{b}$$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.

Exam-Style Questions Main Page

To search the **entire Transum website** use the search box in the grey area below.

Do you have any comments about these exam-style questions? It is always useful to receive feedback and helps make this free resource even more useful for those learning Mathematics anywhere in the world. Click here to enter your comments.