ConceptConceptDocsDocuments

Edexcel IGCSE Math B 4.K Graph gradients Question Bank

Practise estimating gradients of curves by drawing accurate tangents and using coordinate differences from the grid.

Syllabus
First assessment 2018
Course
Math B 4MB1

Exam points

  • draw a tangent at the stated x-value, not a chord, using a line long enough to read from
  • calculate the tangent gradient from two points on the line and round as requested

4.K Graph gradients question 1

[Maximum number: 2]
Figure for Question 4.K Graph gradients question 1 — Edexcel IGCSE Math B
Figure for Question 4.K Graph gradients question 1 — Edexcel IGCSE Math B

Diagrams NOT accurately drawn.

Figure 3 shows a rectangle with dimensions 20 cm by 10 cm from which a square with sides of length x cm is removed from each of the corners.
The shape in Figure 3 is then folded along the dotted lines to form a box, without a lid, in the shape of a cuboid, shown in Figure 4.
The volume of the box is V cm3V\,\mathrm{cm}^3.

By drawing on the grid a tangent to the curve, find an estimate of the gradient of the curve at the point where x=1.5.

All question bank results loaded