Date | May 2016 | Marks available | 4 | Reference code | 16M.1.sl.TZ1.4 |
Level | SL only | Paper | 1 | Time zone | TZ1 |
Command term | Find | Question number | 4 | Adapted from | N/A |
Question
FreshWave brand tuna is sold in cans that are in the shape of a cuboid with length 8cm, width 5cm and height 3.5cm. HappyFin brand tuna is sold in cans that are cylindrical with diameter 7cm and height 4cm.
Find the volume, in cm3, of a can of
i) FreshWave tuna;
ii) HappyFin tuna.
The price of tuna per cm3 is the same for each brand. A can of FreshWave tuna costs 90 cents.
Calculate the price, in cents, of a can of HappyFin tuna.
Markscheme
i) 8×5×3.5 (M1)
=140 (A1)
Note: Award (M1) for correct substitution in volume formula.
ii) π×3.52×4 (M1)
=154(153.938...,49π) (A1) (C4)
Note: Award (M1) for correct substitution in volume formula.
90×their154their140 (M1)
Note: Award (M1) for multiplying the given 90 by their part (a)(ii) and dividing by their part (a)(i). Follow through from (a). Accept correct alternative methods.
=99 (A1)(ft) (C2)
Note: Award a maximum of (M1)(A0) if the final answer is not an integer.
Examiners report
Question 4: Volume
Part (a) was generally answered well, as was part (b); misreading of the question was the main problem.
Question 4: Volume
Part (a) was generally answered well, as was part (b); misreading of the question was the main problem. Part (c), though straightforward in concept, was not well understood by a number of candidates, and many did not give the answer as a number of cents as instructed in the question.