Question
Dhanu has a model railway.
(a) He has a train that consists of a locomotive and 4 coaches.
The mass of the locomotive is 87g and the mass of each coach is 52g.
(i) Work out the total mass of the train.
………………………………………. g
(ii) Work out the mass of the locomotive as a percentage of the total mass of the train.
……………………………………… %
(b) The train is 61cm long and travels at a speed of 18cm/s.
It takes 4 seconds for the whole of the train to cross a bridge.
Calculate the length of the bridge.
……………………………………. cm
(c) A new locomotive costs \($64.\)
Calculate the cost of the locomotive in rupees when the exchange rate is 1 rupee = \($0.0154 .\)
Give your answer correct to the nearest 10 rupees.
……………………………….. rupees
(d) The cost of a railway magazine increases by 12.5% to \($2.70 .\)
Calculate the cost of the magazine before this increase.
\($ ………………………………………….\)
(e) Dhanu plays with his model railway from 0650 to 11 15.
He then rides his bicycle for 3 hours.
Find the ratio time playing with model railway : time riding bicycle.
Give your answer in its simplest form.
……………………. : …………………….
(f) The value of Dhanu’s model railway is \($550.\)
This value increases exponentially at a rate of r% per year.
At the end of 5 years the value will be \($736.\)
Calculate the value of r.
r = ………………………………………….
Answer/Explanation
(a)(i) 295
(a)(ii) 29.5 or 29.49…
(b) 11
(c) 4160
(d) 2.4[0]
(e) 53 : 36
(f) 6[.00] or 5.999…
Question
(a) A shop sells dress fabric for \($\)2.97 per metre.
(i) A customer buys 9 metres of this fabric.
Calculate the change he receives from \($\)50.
\($\) ………………………………………..
(ii) The selling price of \($\)2.97 per metre is an increase of 8% on the cost price.
Calculate the cost price.
\($\) …………………………. per metre
(b) A dressmaker charges \($35\) or 2300 rupees to make a dress.
Calculate the difference in price when the exchange rate is 1 rupee=\($\)0.0153 .
Give your answer in rupees.
………………………………. rupees
(c) The dressmaker measures a length of fabric as 600m, correct to the nearest 5 metres.
He cuts this into dress lengths of 9m, correct to the nearest metre.
Calculate the largest number of complete dress lengths he could cut.
…………………………………………
Answer/Explanation
(a)(i) 23.27 final answer
(ii) 2.75 final answer
(b) 12.4[0] or 12.41 to 12.42
(c) 70 nfww
Question
Adele, Barbara and Collette share \($680\) in the ratio 9 : 7 : 4.
(a) Show that Adele receives \($306.\)
(b) Calculate the amount that Barbara and Collette each receives.
Barbara \($ ………………………………………..\)
Collette \($ ………………………………………..\)
(c) Adele changes her \($306\) into euros (€) when the exchange rate is 1 Euro=\($1.125 \)
Calculate the number of euros she receives.
€ ………………………………………..
(d) Barbara spends a total of \($17.56\) on 5kg of apples and 3 kg of bananas.
Apples cost \($2.69\) per kilogram.
Calculate the cost per kilogram of bananas.
\($ ………………………………………..\)
(e) Collette spends half of her share on clothes and \(\frac{1}{5}\) of her share on books.
Calculate the amount she has left.
\($ ……………………………………….. \)
Answer/Explanation
(a)\(\frac{9}{9+7+4}\times 680\)
(b) 238 136
(c) 272
(d) 1.37
(e) 40.8[0]