Question 4 — IGCSE 0580 Oct/Nov 2024 Paper 41
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Numbers · Speed, distance, time problems. Worth 17 marks.
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Question text
4 (a) Enzo, Rashid and Blessy each swim as many lengths of a swimming pool as they can in 15 minutes.
The results are shown in the table.
Name Number of lengths
Enzo 11.25
Rashid 18.75
Blessy 20
(i) Find the number of lengths Enzo swims as a per centage of the total number of lengths all
three people swim.
..............................................% [2]
(ii) Write the ratio of the number of lengths each person swims in the form
Enzo : Rashid : Blessy.
Give your answer in its simplest form.
............... : ............... : ............... [2]
(cid:300)(cid:217)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:250)(cid:182)(cid:254)(cid:215)
© UCLES 2024 (cid:300)(cid:228)(cid:187)(cid:244)(cid:206)(cid:287)(cid:279)(cid:243)(cid:213)(cid:252)(cid:262)(cid:261)(cid:253)(cid:184)(cid:229)(cid:260)(cid:271)(cid:258) 0580/41/O/N/24
(cid:293)(cid:277)(cid:245)(cid:213)(cid:181)(cid:181)(cid:197)(cid:181)(cid:229)(cid:277)(cid:245)(cid:261)(cid:261)(cid:245)(cid:229)(cid:245)(cid:277)(cid:213)
M
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0000800000007 *
7
(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:8)(cid:44)
(iii) Each length of the pool is 25 m.
(a) Work out Blessy’s average swimming speed for the 15 minutes.
Give your answer in metres per second.
........................................... m/s [3]
(b) Rashid continues to swim at the same rate.
Calculate the time it takes Rashid to swim a total distance of 5 km.
Give your answer in hours and minutes.
..................... h ........................ min [4]
(iv) Blessy swims for one hour.
The number of lengths she swims decreases by 5% every 15 minutes.
Calculate the number of lengths she swims in the final 15 minutes.
................................................. [3]
(b) Another swimmer, Adam, swims 450 m, correct to the nearest 25 metres.
This takes 10 minutes, correct to the nearest minute.
Calculate the minimum distance Adam swims in one hour at this rate.
.............................................. m [3]
(cid:300)(cid:219)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:224)(cid:252)(cid:182)(cid:254)(cid:215) [Turn over
© UCLES 2024 (cid:300)(cid:228)(cid:188)(cid:243)(cid:214)(cid:297)(cid:283)(cid:259)(cid:228)(cid:254)(cid:251)(cid:196)(cid:217)(cid:192)(cid:241)(cid:260)(cid:287)(cid:258) 0580/41/O/N/24
(cid:293)(cid:277)(cid:261)(cid:277)(cid:245)(cid:213)(cid:229)(cid:213)(cid:181)(cid:293)(cid:229)(cid:261)(cid:261)(cid:277)(cid:197)(cid:181)(cid:261)(cid:213)
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
NIGRAM
SIHT
NI
ETIRW
TON
OD
* 0000800000008 *
8
(cid:44)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:1)(cid:9)(cid:44)
NIGRAM
Mark scheme
