Transum Software

Exam-Style Questions.

Problems adapted from questions set for previous Mathematics exams.

1.

GCSE Higher

On centimetre squared or graph paper draw the front elevation, side elevation and plan view of this house using a scale of 1:100.

Do not include the door mat in your diagrams but do show the doors and windows on your front elevation making estimates of their size and positioning.

House

2.

GCSE Higher

The diagram shows the plan, front elevation and side elevation of a solid shape, drawn on a centimetre grid.

Plan

Draw a sketch of the solid shape indicating the dimensions of the solid on your sketch.


3.

IB Analysis and Approaches

An astronaut measures the angle of elevation of a light on the surface of a mysterious sphere on a faraway planet.

The light is level with the centre of the sphere, so its distance above the ground is equal to the radius of the sphere.

The astronaut measures the angle to be 20°, and his theodolite is 15 metres away from the centre point where the sphere touches the ground. The theodolite is 1.7 metres tall.

Sphere on a distant planet

(a) Calculate the radius of the sphere.

(b) Calculate the volume of the sphere.


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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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