Limits of Accuracy Exam Style Questions PDF - Corbettmaths 2015

Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3. Attempt every questi...

Name: Exam Style Questions Ensure you have: Pencil, pen, ruler, protractor, pair of compasses and eraser You may use tracing paper if needed Guidance 1. Read each question carefully before you begin answering it. 2. Donʼt spend too long on one question. 3. Attempt every question. 4. Check your answers seem right. 5. Always show your workings Revision for this topic © Corbettmaths 2015 1.! A bag of apples weighs 7kg, correct to the nearest kilogram. ! What is the least possible weight of the bag of apples?.........................kg (1) 2.! The length of a table is 105 cm, correct to the nearest centimetre. ! (a) Write down the smallest possible length of the table..........................cm (1) ! (b) Write down the largest possible length of the table..........................cm (1) 3.! The speed of a car is 50 mph, correct to the nearest 10 mph. ! (a) Write down the lowest possible speed of the car.........................mph (1) ! (b) Write down the greatest possible speed of the car.........................mph (1) © Corbettmaths 2015 4.! The distance between the Sun and Earth is 150,000,000 km, correct to ! 2 significant figures. ! (a) Write down the lower bound.........................km (1) ! (b) Write down the upper bound.........................km (1) 5.! An average clementine weighs 74g to the nearest gram. ! A net contains 12 clementines. ! The net weighs 20g to the nearest gram. ! What is the maximum possible weight of the net of clementines..........................g (3) 6.! Find the least and greatest total length of 6 sausages, each measuring 8cm to ! the nearest centimetre. Least length.........................cm Greatest length.........................cm (2) © Corbettmaths 2015 7.! A rectangular rugby pitch has width 74 metres, measured to the nearest metre. ! (a) Write down the upper bound of the width of the pitch..........................m (1) ! The length of the pitch is 115 metres, measured to the nearest 5 metres.! ! ! (b) Work out the upper bound for the perimeter of the pitch.........................m (3) 8.! Anthony measured the length and width of a rectangle. ! He measured the length to be 18cm correct to the nearest centimetre. ! He measured the width to be 10cm correct to the nearest 10 centimetres. ! Calculate the lower bound for the area of this rectangle. !.........................cm² (2) 9.! A circular mirror has a diameter of 60cm to the nearest centimetre. ! ! Find the greatest possible area of the mirror. ! Give your answer in cm².........................cm² (3) © Corbettmaths 2015 10.! The heights of 6 plants are listed below. ! Each height is given to one decimal place. ! ! 4.5cm!! 7.2cm!! 8.1cm!! 9.6cm!! 9.1cm!! 3.1cm ! (a) Work out the smallest possible mean..........................cm (2) ! (b) Work out the greatest possible range..........................cm (2) 11.! The width of a rectangle is 50cm, correct to 2 significant figures. ! The length of a rectangle is 115cm, correct to 3 significant figures. ! (a) Write down the lower bound for the width..........................cm (1) ! (b) Calculate the lower bound for the area of the rectangle..........................cm² (2) © Corbettmaths 2015 12.! Declan ran a distance of 200m in a time of 26.2 seconds. ! The distance of 200m was measured to the nearest 10 metres. ! The time of 26.2 was measured to the nearest tenth of a second. ! (a) Work out the upper bound for Declanʼs average speed..........................m/s (2) ! (b) Work out the lower bound for Declanʼs average speed..........................m/s (2) 13.! A circle has an area of 120cm² to the nearest 10cm². ! Work out the upper bound of the radius.........................cm (3) © Corbettmaths 2015 14.! Sophie estimated that the distance between Bristol and Newcastle is about ! 290 miles and that her average driving speed would be 60 mph. ! She estimated the distance to the nearest 10 miles and the speed to the nearest ! 10 mph. ! Calculate the lower bound of the time the journey should take. ! Give your answer in hours and minutes. ! Give your answer to the nearest minute....................hours....................minutes (4) 15.! The final velocity of a traveling object is given by the formula ! where v is the final velocity ! u is the initial velocity ! a is the acceleration ! and t is the time ! Given ! u = 2.4 m/s correct to 2 significant figures, ! ! ! a = 12 m/s² correct to 2 significant figures, ! ! ! and t = 5 seconds correct to 1 significant figure. ! Calculate the lower bound for v.....................m/s (4) © Corbettmaths 2015 16.! The curved surface area of a cone is given by the formula ! where A is the curved surface area ! r is the radius of the base of the cone ! and l is the slant height ! Given ! A = 220 cm² correct to 3 significant figures, ! ! ! and r = 8 cm correct to 1 significant figure. ! Calculate the upper bound for l.....................cm (3) © Corbettmaths 2015 17.! Shown below is triangle RST. ! Angle SRT is 53°, to the nearest degree. ! ST is 17cm to the nearest centimetre. ! ! ! ! ! Work out the upper bound for the length of RS.....................cm (4) © Corbettmaths 2015 18.! The length of the base of a triangle is 10cm, correct to 2 significant figures. ! The length of the perpendicular height of a triangle is 15cm, correct to 2 ! significant figures. ! (a) Calculate the upper bound for the area of the triangle....................cm² (2) ! (b) Calculate the lower bound for the area of the triangle....................cm² (2) © Corbettmaths 2015