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
