Question 6 — IGCSE 0580 Oct/Nov 2024 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Mensuration · Perimeter, Area and Volume. Worth 13 marks.
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Question text
6 (a)
8 m
NOT TO
SCALE
11 m
6 m
15 m
The diagram shows a plan of Zak’ s garden.
Find the perimeter of the garden.
.............................................. m [2]
(b) Zak records the temperature in his garden each night for one week.
Sunday Monday Tuesday Wednesday Thursday Friday Saturday
4 °C 1 °C -2 °C 2 °C -5 °C 3 °C -4 °C
(i) Which night was coldest?
................................................. [1]
(ii) Find the difference in temperature between Friday night and Saturday night.
............................................. °C [1]
(c) Zak buys pea plants, bean plants and sunflower plants in the ratio
peas : beans : sunflowers = 7 : 5 : 2.
He buys 45 bean plants.
Show that the total number of plants he buys is 126.
[2]
(cid:300)(cid:209)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:250)(cid:183)(cid:254)(cid:215)
© UCLES 2024 (cid:300)(cid:226)(cid:220)(cid:241)(cid:218)(cid:296)(cid:274)(cid:279)(cid:205)(cid:242)(cid:264)(cid:268)(cid:271)(cid:259)(cid:174)(cid:193)(cid:281)(cid:258) 0580/33/O/N/24
(cid:293)(cid:277)(cid:261)(cid:213)(cid:181)(cid:213)(cid:293)(cid:181)(cid:197)(cid:181)(cid:293)(cid:197)(cid:261)(cid:277)(cid:293)(cid:181)(cid:197)(cid:213)
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* 0000800000011 *
11
(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:2)(cid:2)(cid:44)
(d) Zak has a water barrel.
On Monday the barrel contains 120 litres of water .
On Friday the barrel contains 43.2 litres of water .
Calculate the percentage decrease of the water in the barrel.
..............................................% [2]
(e) Zak drives to a shop.
1
The journey takes 1 hours.
4
He drives at an average speed of 57 km/h.
Calculate the distance he drives.
............................................ km [2]
(f)
Machine hire charges
1st day $22.60
Each additional day $11.80
Zak pays $69.80 to hire a machine.
Calculate the number of days he hires it for .
......................................... days [3]
(cid:300)(cid:211)(cid:266)(cid:174)(cid:288)(cid:180)(cid:237)(cid:200)(cid:245)(cid:207)(cid:298)(cid:197)(cid:266)(cid:222)(cid:252)(cid:183)(cid:254)(cid:215) [Turn over
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(cid:293)(cid:277)(cid:245)(cid:277)(cid:245)(cid:181)(cid:261)(cid:213)(cid:213)(cid:197)(cid:181)(cid:197)(cid:261)(cid:245)(cid:261)(cid:245)(cid:213)(cid:213)
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NI
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TON
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NIGRAM
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NI
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TON
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NIGRAM
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NI
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NIGRAM
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NI
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TON
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NIGRAM
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NI
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TON
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* 0000800000012 *
12
(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:2)(cid:3)(cid:44)
NIGRAM
Mark scheme
