GCSE/ IGCSE Mathematics Sample Questions V

Work out 1.83 × 47

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Here are the first 5 terms of an arithmetic sequence.

3 9 15 21 27

 (a) Find an expression, in terms of n, for the nth term of this sequence.

Ben says that 150 is in the sequence.

 (b) Is Ben right?

 You must explain your answer

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Simplify 5x + 4y + x – 7y

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Solve 7(x + 2) = 7

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Trams leave Piccadilly

 to Eccles every 9 minutes

 to Didsbury every 12 minutes

 A tram to Eccles and a tram to Didsbury both leave Piccadilly at 9 am.

 At what time will a tram to Eccles and a tram to Didsbury next leave Piccadilly

at the same time?

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5 schools sent some students to a conference.

 One of the schools sent both boys and girls.

 This school sent 16 boys.

 The ratio of the number of boys it sent to the number of girls it sent was 1 : 2

 The other 4 schools sent only girls.

 Each of the 5 schools sent the same number of students.

 Work out the total number of students sent to the conference by these 5 schools.

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Write 0.000 376 in standard form

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Prove algebraically that the difference between the squares of any two consecutive

integers is equal to the sum of these two integers.

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There are three different types of sandwiches on a shelf.

 There are

 4 egg sandwiches,

 5 cheese sandwiches

 and 2 ham sandwiches.

 Erin takes at random 2 of these sandwiches.

 Work out the probability that she takes 2 different types of sandwiches.

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Source: 

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http://pastpapers.edexcel.com/content/dam/pdf/GCSE/Mathematics%20A/2010/Question%20papers%20and%20mark%20schemes/1MA0_1H_que_20130228.pdf