O-LevelMathematicsMensuration4024/21 · May/June 2014 · Q68 Marks
(a) A candle is in the shape of a cylinder of radius 1.6 cm and height 7.5 cm. (b) The length of a rectangular photo is 17.8 cm, correct to the nearest millimetre. The width of the photo is 12.7 cm, correct to the nearest millimetre.
- (a)(i)Calculate the volume of the candle.[2]
- (a)(ii)(a)Six of these candles are packed into a box of height 7.5 cm as shown. [Figure 6.2] Find the length and width of the box.[1]
- (a)(ii)(b)Calculate the volume of empty space in the box.[2]
- (b)(i)Calculate the lower bound of the area of the photo.[2]
- (b)(ii)Kate has a rectangular frame with length 18 cm and width 13 cm, both measured correct to the nearest centimetre. Will the photo definitely fit into the frame? Explain your answer.[1]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [2] M1 for π × 1.6^2 × 7.5
- [1] Condone reversed
- [2] M1 for 'their 9.6 × 6.4' × 7.5-6 × 'their 60.3'
- [2] Or B1 for 460.8, or 361.68 to 362.1
- [2] M1 for 17.75 and 12.65 seen
- [1] Accept statement involving lower bound of either length or width
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →