Question 6 — IGCSE 0580 May/June 2024 Paper 33
Cambridge IGCSE Mathematics 0580, Core tier, calculator. Topic: Numbers · The four rules. Worth 14 marks.
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Question text
6 (a) In a sport, teams are given points using the formula
number of points = number of wins # 4 + number of draws # 2 + bonus points.
One team has 15 wins, 7 draws and 6 bonus points.
Calculate the total number of points for this team.
................................................. [2]
(b) Solve.
x
= 18
2
x = ................................................ [1]
(c) Solve.
4x+12 = 18
x = ................................................ [2]
(d) Expand and simplify.
6(3x-4)+5(x-2)
................................................. [2]
(e) T = 5r-6
Make r the subject of this formula.
r = ................................................ [2]
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© UCLES 2024 (cid:300)(cid:280)(cid:283)(cid:226)(cid:195)(cid:292)(cid:229)(cid:229)(cid:205)(cid:238)(cid:240)(cid:280)(cid:267)(cid:261)(cid:178)(cid:202)(cid:232)(cid:258) 0580/33/M/J/24
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* 0019655331813 *
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(cid:44)(cid:1)(cid:1)(cid:2)(cid:10)(cid:7)(cid:6)(cid:6)(cid:4)(cid:4)(cid:2)(cid:9)(cid:2)(cid:4)(cid:44)
(f) Bo has a green bag and a blue bag.
Each bag contains some marbles.
The green bag has x marbles.
There are 5 times as many marbles in the blue bag than in the green bag.
Bo now adds 6 marbles to each bag.
There are now 4 times as many marbles in the blue bag than in the green bag.
Use this information to write down an equation and solve it to find the value of x.
x = ................................................ [5]
(cid:300)(cid:219)(cid:265)(cid:175)(cid:288)(cid:179)(cid:237)(cid:199)(cid:237)(cid:219)(cid:241)(cid:173)(cid:266)(cid:189)(cid:272)(cid:215)(cid:256)(cid:215) [Turn over
© UCLES 2024 (cid:300)(cid:280)(cid:284)(cid:225)(cid:203)(cid:294)(cid:233)(cid:213)(cid:236)(cid:268)(cid:257)(cid:209)(cid:207)(cid:237)(cid:294)(cid:202)(cid:216)(cid:258) 0580/33/M/J/24
(cid:293)(cid:245)(cid:229)(cid:277)(cid:245)(cid:245)(cid:229)(cid:245)(cid:245)(cid:181)(cid:245)(cid:213)(cid:277)(cid:293)(cid:261)(cid:213)(cid:181)(cid:213)
NIGRAM
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* 0019655331814 *
14
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NIGRAM
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