Skip to content

Course home

3.1 Algebra and functions (A-level only)

3.1 Algebra and functions (A-level only)

EasyMediumHard
123456789101112131415161718192021222324252627282930313233343536373839404142434445464748495051525354555657585960616263646566676869707172737475767778798081828384858687888990919293949596979899100101102103104105106107108109110111112113114115116117118119120121122123124125126127128129130131132133134135136137138139140141142143144145146147148149150151152153154155156157158159160161162163164165166167168169170171172173174175176177178179180181182183184185186187188189190191192193194195196197198199200201202203204205206207208209210211212213214215216
Question 149

The height of a maintenance lift, H H\,H metres, relative to the ground floor is recorded over time t t\,t seconds. The height is modelled by the function

H(t)=18−∣3t−21∣ H(t) = 18 - |3t - 21| H(t)=18−∣3t−21∣
a.

Sketch the graph of H(t)H(t)H(t), marking the coordinates of any points where the graph intersects the axes and the coordinates of the vertex.

[4]
b.

Solve the inequality

18−∣3t−21∣<9 18 - |3t - 21| < 9 18−∣3t−21∣<9
[3]
Markscheme

3.1 Algebra and functions (A-level only) Questions

  1. A Level
  2. /Maths
  3. /3.1 Algebra and functions (A-level only)

281 exam-style questions on CCEA A Level Maths 3.1 Algebra and functions (A-level only), covering 3.1.1 Algebra and functions (A-level only), 3.1.2 Algebra and functions (A-level only), 3.1.3 Algebra and functions (A-level only), 3.1.4 Algebra and functions (A-level only), 3.1.5 Algebra and functions (A-level only), 3.1.6 Algebra and functions (A-level only), 3.1.7 Algebra and functions (A-level only), 3.1.8 Algebra and functions (A-level only), 3.1.9 Algebra and functions (A-level only), and 3.1 Algebra and functions (A-level only). Each one has a worked solution and a mark scheme showing where the marks go.

Question bank