Write down the error interval for each measurement.
A length, L cm, is 8.4 cm correct to 1 decimal place.
A mass, m grams, is 450 grams correct to the nearest 10 grams.
A number, x, is 3.7 when truncated to 1 decimal place.
The number of people, n, at a match is 600 correct to 1 significant figure.
4 marks
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a) 8.35 ≤ L < 8.45b) 445 ≤ m < 455c) 3.7 ≤ x < 3.8d) 550 ≤ n < 650
2
y = 7.8 correct to 1 decimal place.
z = 4.1 correct to 1 decimal place.
Write down the upper bound of y.
Work out the upper bound of y − z.
3 marks
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a) 7.85b) 3.8
3
a = 18.4 correct to 1 decimal place.
b = 2.7 correct to 1 decimal place.
Calculate the upper bound of ab
Give your answer correct to 3 significant figures.
3 marks
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6.96
4
A rectangle has length 12.4 cm and width 7.5 cm. Each is correct to 1 decimal place.
Work out the upper bound of the perimeter of the rectangle.
Work out the upper bound of the area of the rectangle.
4 marks
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a) 40 cmb) 93.9975 cm²
5
A tram travels a distance of 260 metres, correct to the nearest 10 metres.
The journey takes 32.5 seconds, correct to 1 decimal place.
Calculate the lower bound of the average speed of the tram in m/s.
Give your answer correct to 3 significant figures.
3 marks
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7.83
6
Sam's bag has mass 6.4 kg and Ali's bag has mass 4.9 kg. Each mass is correct to the nearest 0.1 kg.
Work out the lower bound of the difference in mass between the two bags.
3 marks
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1.4 kg
7
The volume of a cube is 730 cm³, correct to 2 significant figures.
Work out the lower bound of the length of one edge of the cube.
Give your answer correct to 3 significant figures.
4 marks
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8.98
8
In a right-angled triangle, the angle at A is x°.
The side opposite angle A has length 5.2 cm, correct to 1 decimal place.
The side adjacent to angle A has length 8.4 cm, correct to 1 decimal place.
Calculate the lower bound of x.
Give your answer correct to 1 decimal place.
3 marks
Show answer
31.4
9
The formula v = u + at gives the final velocity of an object.
v = 27.3 correct to 1 decimal place.
u = 11.6 correct to 1 decimal place.
t = 4.5 correct to 1 decimal place.
By rearranging the formula, calculate the upper bound of a.
Give your answer correct to 3 significant figures.
4 marks
Show answer
3.55
10
Last week Ben worked for 7.5 hours, correct to the nearest half hour.
He was paid £84, correct to the nearest pound.
Ben says, "My hourly rate of pay was definitely more than £10.90."
Determine whether Ben is correct.
You must show your working using bounds.
4 marks
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Ben is not correct. Lower bound of rate = 83.507.75 = £10.77 (2 dp), which is less than £10.90, so his rate could have been below £10.90.
11
A circle has radius 6.5 cm, correct to 1 decimal place.
Work out the area of the circle to a suitable degree of accuracy. You must show your working and explain why your answer is suitable.
4 marks
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130 cm² (2 significant figures)
12
A metal block has mass 485 g, correct to the nearest gram.
The volume of the block is 62.4 cm³, correct to 1 decimal place.
density = mass ÷ volume
Work out the density of the metal in g/cm³, giving your answer to a suitable degree of accuracy.
You must explain why your answer is to a suitable degree of accuracy.
5 marks
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7.8 g/cm3, because the upper bound 485.562.35 = 7.7867... and the lower bound 484.562.45 = 7.7582... both round to 7.8 to 2 significant figures.
13
A cyclist travels 93.6 metres, correct to 1 decimal place.
The ride takes 12.0 seconds, correct to 1 decimal place.
Calculate the average speed of the cyclist in m/s, giving your answer to a suitable degree of accuracy.
You must show your working and explain your answer.
5 marks
Show answer
7.8 m/s, because the upper bound 93.6511.95 = 7.8368... and the lower bound 93.5512.05 = 7.7634... both round to 7.8 to 2 significant figures.
14
The kinetic energy, E joules, of an object is given by
E = 12mv²
m = 1.2 kg, correct to 1 decimal place.
v = 8.4 m/s, correct to 1 decimal place.
Work out the upper bound of E. Give your answer correct to 3 significant figures.
The lower bound of E is 40.1 joules, correct to 3 significant figures. Write down the value of E to a suitable degree of accuracy. Give a reason for your answer.
5 marks
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a) 44.6b) 40
15
A car travels 250 miles, correct to the nearest 10 miles, using 31 litres of fuel, correct to the nearest litre.
Work out the fuel economy in miles per litre to a suitable degree of accuracy. You must show your working and give a reason for your answer.
5 marks
Show answer
8 miles per litre (1 significant figure)
Every question here is original and written by Robinson Tuition. The grade follows the Edexcel grade descriptors and suits AQA and OCR too; this is not an exam-board paper.