1
1
The space allowed for each tent in a campsite is a rectangle measuring 8 m by 6 m, each correct to the nearest
metre.
Calculate the upper bound for the area of the space allowed for each tent.
................................................... m2
[2]
[Total: 2]
2
The sides of a square are 15.1 cm, correct to 1 decimal place.
Find the upper bound of the area of the square.
................................................... cm2
[2]
[Total: 2]
3
An equilateral triangle has sides of length 15 cm, correct to the nearest centimetre.
Calculate the upper bound of the perimeter of this triangle.
................................................... cm
[1]
[Total: 1]
2
4
A = 10, correct to the nearest whole number.
h = 4, correct to the nearest whole number.
Work out the upper bound for the value of b.
...................................................
[3]
[Total: 3]
5
Every page of a newspaper is a rectangle measuring 43 cm by 28 cm, both correct to the nearest centimetre.
Calculate the upper bound of the area of a page.
................................................... cm2
[2]
[Total: 2]
3
6
Priya has 50 identical parcels.
Each parcel has a mass of 17 kg, correct to the nearest kilogram.
Find the upper bound for the total mass of the 50 parcels.
................................................... kg
[1]
[Total: 1]
7
An equilateral triangle has side length 12 cm, correct to the nearest centimetre.
Find the lower bound and the upper bound of the perimeter of the triangle.
Lower bound = ................................................... cm
Upper bound = ................................................... cm
[2]
[Total: 2]
8
Saafia has a barrel containing 6000 millilitres of oil, correct to the nearest 100 ml.
She uses the oil to fill bottles which each hold exactly 50 ml.
Calculate the upper bound for the number of bottles she can fill.
...................................................
[2]
[Total: 2]
4
9
The area of a square is 42.5 cm2, correct to the nearest 0.5 cm2.
Calculate the lower bound of the length of the side of the square.
................................................... cm
[2]
[Total: 2]
10
The length of the side of a square is 12 cm, correct to the nearest centimetre.
Calculate the upper bound for the perimeter of the square.
................................................... cm
[2]
[Total: 2]
11
Jo measures the length of a rope and records her measurement correct to the nearest ten centimetres.
The upper bound for her measurement is 12.35 m.
Write down the measurement she records.
................................................... m
[1]
[Total: 1]
12
Anna walks 31 km at a speed of 5 km/h.
Both values are correct to the nearest whole number.
Work out the upper bound of the time taken for Anna’s walk.
................................................... hours
[2]
5
[Total: 2]
13
On one day, the number of members using the exercise machines in a sports club was 40, correct to the
nearest 10.
Each member used a machine for 30 minutes, correct to the nearest 5 minutes.
Calculate the lower bound for the number of minutes the exercise machines were used on this day.
................................................... min
[2]
[Total: 2]
14
A dressmaker measures a length of fabric as 600 m, correct to the nearest 5 metres.
He cuts this into dress lengths of 9 m, correct to the nearest metre.
Calculate the largest number of complete dress lengths he could cut.
...................................................
[3]
[Total: 3]
15
The base of a triangle is 9 cm correct to the nearest cm.
The area of this triangle is 40 cm2 correct to the nearest 5 cm2.
Calculate the upper bound for the perpendicular height of this triangle.
................................................... cm
[3]
[Total: 3]
16
6
(a) In an experiment I and R are both measured correct to 1 decimal place.
When I = 4.0 and R = 2.7, find the lower bound for V.
...................................................
[2]
(b)
In an experiment D and T are both measured correct to 2 significant figures.
When D = 7.6 and T = 0.23, find the upper bound for S.
...................................................
[2]
[Total: 4]
17
The sides of an equilateral triangle are 9.4 cm, correct to the nearest millimetre.
Work out the upper bound of the perimeter of this triangle.
................................................... cm
[2]
[Total: 2]
7
18
The volume of a cuboid is 878 cm3, correct to the nearest cubic centimetre.
The length of the base of the cuboid is 7 cm, correct to the nearest centimetre.
The width of the base of the cuboid is 6 cm, correct to the nearest centimetre.
Calculate the lower bound for the height of the cuboid.
Answer ................................................... cm
[3]
[Total: 3]
19
The mass of a tin of paint is 890 grams, correct to the nearest 10 grams.
Work out the upper bound of the total mass of 10 tins of paint.
Answer ................................................... g
[1]
[Total: 1]
20
An equilateral triangle has sides of length 6.2 cm, correct to the nearest millimetre.
Complete the statement about the perimeter, P cm, of the triangle.
Answer .............................. ≤P < .............................. [2]
[Total: 2]
8
21
Rice is sold in 75 gram packs and 120 gram packs.
The masses of both packs are given correct to the nearest gram.
Calculate the lower bound for the difference in mass between the two packs.
Answer ................................................... g
[2]
[Total: 2]
22
One year ago Ahmed’s height was 114 cm.
Today his height is 120 cm.
Both measurements are correct to the nearest centimetre.
Work out the upper bound for the increase in Ahmed’s height.
Answer ................................................... cm
[2]
[Total: 2]
23
The length, l metres, of a football pitch is 96 m, correct to the nearest metre.
Complete the statement about the length of this football pitch.
Answer .........................................≤ l < ......................................... [2]
[Total: 2]
9
24
The mass of 1 cm3 of copper is 8.5 grams, correct to 1 decimal place.
Complete the statement about the total mass, T grams, of 12 cm3 of copper.
Answer .............................. ≤T < .............................. [2]
[Total: 2]
25
The length, l cm, of a sheet of paper is 29.7 cm, correct to the nearest millimetre.
Complete this statement about the value of l.
..............................
.............................. [2]
[Total: 2]