Rounding, Estimation & Bounds
1. This question has 2 part(s).
1.1. A train travelled along a track in 110 minutes, correct to the nearest 5 minutes.
Jake finds out that the track is 270 km long.
He assumes that the track has been measured correct to the nearest 10 km.
Could the average speed of the train have been greater than 160 km/h?
You must show how you get your answer.
1.2. Jake's assumption was wrong.
The track was measured correct to the nearest 5 km.
Explain how this could affect your decision in part (a).
Ai এর মাধ্যমে
১০ লক্ষ+ প্রশ্ন ডাটাবেজ
প্র্যাকটিস এর মাধ্যমে নিজেকে তৈরি করে ফেলো
উত্তর দিবে তোমার বই থেকে ও তোমার মত করে।
সারা দেশের শিক্ষার্থীদের মধ্যে নিজের অবস্থান যাচাই
A solid metal cube has sides of length 125 mm, correct to 3 significant figures.
The cube is melted down and the metal used to make solid spheres.
The volume of each sphere is to be 140 cm³, correct to the nearest 10 cm³
Work out the greatest number of spheres that could be made from the metal.
Show your working clearly
The lower bound for the value of is correct to significant figures.
By considering bounds, write down the value of to a suitable degree of accuracy.
You must give a reason for your answer.
Jackson is trying to find the density, in g/cm3, of a block of wood. The block of wood is in the shape of a cuboid.
He measures
the length as 13.2 cm, correct to the nearest mm
the width as 16.0 cm, correct to the nearest mm
the height as 21.7 cm, correct to the nearest mm
He measures the mass as 1970 g, correct to the nearest 5 g.
By considering bounds, work out the density of the wood.
Give your answer to a suitable degree of accuracy.
You must show all your working and give a reason for your final answer.
A road is 4530 m long, correct to the nearest 10 metres.
Kirsty drove along the road in 205 seconds, correct to the nearest 5 seconds.
The average speed limit for the road is 80 km/h.
Could Kirsty's average speed have been greater than 80 km/h? You must show your working.
