# Mock Exam P4

Topics: Number, Orders of magnitude, Dimension Pages: 8 (1688 words) Published: July 30, 2013
SECOND TERM TEST – 2008GRADE 9Mathematics 1401/04Paper 04OCT - 20082 hoursMaterials Required : Answer Booklet/paper Electronic calculator Geometric instruments Graph papers Mathematical tables (optional) Tracing paper (optional)| INSTRUCTIONS TO CANDIDATES

Write your answers and working on the separate Answer Booklet/Paper provided. Write your candidate number and name on all the work you hand in. Write in dark blue or black pen on both sides of the paper.

You may use soft pencil for any diagrams or graphs.
Do not use staples, paper clips, highlighters, glue and correction fluid.

At the end of the examination, fasten all your work securely together. The number of marks is given in brackets [ ] at the end of each question or part question. All working must be clearly shown. It should be done on the same sheet as the rest of the answer. Marks will be given for working which shows that you know how to solve the problem even if you get the answer wrong. The total of the marks for this paper is 145.

Electronic calculators should be used.
If the degree of accuracy is not specified in the question and if the answer is not exact, give the answer to three significant figures. Give answers in degrees to one decimal place. For , use either your calculator value or 3.142

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Muhibbuddin School

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1. In March 2008, the price of one litre of petrol was Rf.15.

a) 65% of this price is “tax” and the remainder is the “other cost”. i. Calculate how much tax is paid on one litre of petrol.

ii. Find, in its simplest form, the ratio of tax to the other costs. Give your answer in the form of m : n, where m and n are integers.

b) Ibrahim bought as many complete litres of petrol as he could with a Rf.100 note. i. Calculate how many litres he bought.
ii. Calculate how much change he received.

c) In June 2008, the price of one litre of petrol was Rf.17.75. Calculate the percentage increase in the price of petrol from March to June.

d) The price of petrol in March was 25% more than the price in January. Calculate the price of one litre of petrol in January.

e) Ali takes part in a motorbike race and completes two laps around a 4005m track. i. Calculate his speed, to the nearest km/hr , on the first lap if he takes 1 min 28 sec to complete the lap. 

ii. He increases his speed to 178 km/hr to complete the second lap. Calculate his average speed for the two laps.

2. The probability of catching tuna fish and reef fish on a particular day is recorded. The probability of catching tuna in first attempt is 1113
If there is a tuna in first attempt, the probability of catching tuna in second attempt is 47 If there is a reef in first attempt, the probability of catching tuna in second attempt is 811 a) Draw a tree diagram to represent the above information.

b) Calculate the probability of catching
i. Both tuna
ii. Both same 
iii. Both different
c) If there is a tuna in second attempt, the probability of catching tuna
in third attempt is 25 . Calculate the probability of catching i. All three tuna fish.
ii. At least one reef fish in three attempts.

3. (a) Factorize completely 20t2-5.

(b) Express as a single fraction in its simplest form 7x2-5x3
(c) Given the formula Kx + M = D. Make ‘x’ the subject of the formula.

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(d) In ΔPQR,...