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Inequality notation to express error

Quiz by Oak National Academy: KS3 Maths (2)

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Q 1/6
Score 0
An error interval for a number $x$ shows the range of possible values of $x$ . It is written as:
29
$a\leq x < b$
$a> x < b$
$a \geq x$
$a< x < b$

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6 questions

Show answers

Q1
An error interval for a number $x$ shows the range of possible values of $x$ . It is written as:
$a\leq x < b$
$a> x < b$
$a \geq x$
$a< x < b$
30s
Q2
When a number is rounded to the nearest integer the result is 8. Identify the correct range for the unrounded number.
Smallest = $7.5$ , Largest = $8.5$
Smallest = $7.5$ , Largest = $8.5 \dot 9$
Smallest = $7.5$ , Largest = $8.4 \dot 9$
Smallest = $7.5$ , Largest = $8.9 \dot 9$
30s
Q3
When a number is rounded to the nearest integer the result is 19. Identify the correct range for the unrounded number.
Smallest = $18.5$ , Largest = $19.5 \dot 9$
Smallest = $18.5$ , Largest = $19.5$
Smallest = $18.5$ , Largest = $19.4 \dot 9$
Smallest = $17.5$ , Largest = $19.5$
30s
Q4
When a number, $x$ , is rounded to the nearest integer the result is 8. Identify the error interval for $x$ .
$7.5 \geq x <8.4 \dot 9$
$7.5\leq x < 8.4 \dot 9$
$7.5< x < 8.4 \dot 9$
$7.5> x < 8.4 \dot 9$
$7.5\leq x< 8.5$
30s
Q5
When a number, $x$ , is rounded to 2 significant figures the result is 7.8. Identify the error interval for $x$ .
$7.75< x < 7.84 \dot 9$
$7.75 < x < 7.85$
$7.74 \dot 9< x < 7.84 \dot 9$
$7.75\leq x < 7.85$
30s
Q6
A distance $x$ km is given as 2.345 km correct to the nearest metre. Identify the error interval for $x$ .
$2.3445\leq x < 2.3449$
$2.3445 \geq x <2.3454 \dot 9$
$2.3445\leq x < 2.3455$
$2.3445> x < 2.3454\dot 9$
$2.3445< x < 2.3455$
30s

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