# Mock exam paper A P1 Higher Level

**PRE–JUNIOR CERTIFICATE EXAMINATION, 2011**

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**MATHEMATICS – HIGHER LEVEL**

**PAPER I (300 marks)**

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**Time: hours**

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Attempt **ALL** questions.

Each question carries 50 marks.

*The symbol indicates that supporting work must be shown to obtain full marks.*

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**Q.1 (a) (i)** Multiply by and write your answer in the form ,

where .

** (ii)** Express 240 grams as a fraction of 8 kilograms and write your answer in

its simplest form.

** (b)** A car journey of 455 kilometres took 6 hours and 30 minutes.

** (i)** Calculate the average speed of the car, in *km/hr*, for the journey.

** (ii)** If the average petrol consumption for the journey was 9.2 kilometres per

Litre, calculate the number of litres used, correct to the nearest litre.

**(c)** Mary earns €42,000 per annum. The standard rate of income tax is 20% and the higher rate is 42%. The standard rate cut-off point is €28,000 and she has a personal tax credit of €2,200.

** (i)** Calculate the tax payable by Mary for the year and her net pay.

Peter has the same tax credit and standard cut off as Mary and his net pay is €3,480 more than Mary’s.

**(ii)** Calculate Peter’s annual salary.

**Q.2 (a) (i)** List the first five multiples of 15 and the first five multiplies of 20.

**(ii)** Hence, or otherwise, write down the lowest common multiple of 15 and 20.

**(b) (i)** By rounding to the nearest whole number, estimate the value of :

Then evaluate correct to two decimal places.

** (ii)** Solve for *x*,

**(c)** A survey was taken of 54 students, each of whom was studying one or more of the subjects English, French and Spanish.

6 students studied French and Spanish.

5 students studied English and Spanish

3 time as many students studies English and French as studied all three subjects.

20 students altogether studied French.

17 students studied Spanish only ...