igureMaths
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Rounding & bounds
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56 questions at your level
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Level 1
Level 2
Level 3
Level 4
Level 5
Rounding and significant figures
20 questions
Lesson
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The mass of a parcel is 340 g, correct to the nearest 10 g. Write down the error interval for the mass
m
m
m
.
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Level 4
2 marks
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A number
y
y
y
is
truncated
to 1 decimal place. The result is 8.4. Write down the error interval for
y
y
y
.
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Level 4
2 marks
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The number of people at a concert is 2400, correct to the nearest 100.
(a)
Write down the least possible number of people.
(b)
Write down the greatest possible number of people.
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Level 4
2 marks
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x
=
460
x = 460
x
=
460
, correct to
2
2
2
significant figures.
Write down the error interval for
x
x
x
.
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Level 4
2 marks
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→
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A number
y
y
y
is
truncated
to a whole number. The result is
23
23
23
.
Write down the error interval for
y
y
y
.
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Level 4
2 marks
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Estimation
15 questions
Lesson
Not started
Mark as done
Work out an estimate for the value of
612
×
0.48
0.19
\dfrac{612 \times 0.48}{0.19}
0.19
612
×
0.48
You must show your working.
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Level 4
3 marks
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(a)
Work out an estimate for 21% of 4130.
(b)
Without further calculation, state whether your answer is an overestimate or an underestimate. Give a reason.
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Level 4
3 marks
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Work out an estimate for the value of
5.86
0.021
\dfrac{5.86}{0.021}
0.021
5.86
You must show your working.
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Level 4
2 marks
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Mark as done
Tickets for a play cost £
3.95
3.95
3.95
each.
A teacher buys
28
28
28
tickets.
(a)
Work out an estimate for the total cost.
(b)
Without further calculation, state whether your estimate is an overestimate or an underestimate. Give a reason.
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Level 4
3 marks
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Upper and lower bounds
23 questions
Lesson
Not started
Mark as done
A rectangle measures 8.3 cm by 6.4 cm, each correct to 1 decimal place.
8.3 cm
6.4 cm
Diagram NOT accurately drawn
Work out the
upper bound
of the area of the rectangle.
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Level 4
3 marks
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A rectangle measures
12
12
12
cm by
9
9
9
cm, each correct to the nearest centimetre.
Work out the
upper bound
of the perimeter.
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Level 4
2 marks
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A rectangle measures
8.3
8.3
8.3
cm by
6.4
6.4
6.4
cm, each correct to
1
1
1
decimal place.
Work out the
lower bound
of the area of the rectangle.
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Level 4
2 marks
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A car travels
120
120
120
m, correct to the nearest
10
10
10
m, in
15.6
15.6
15.6
seconds, correct to 1 decimal place.
(a)
Work out the upper bound for the average speed of the car. Give your answer correct to 3 significant figures. (3 marks)
(b)
Work out the lower bound for the average speed of the car. Give your answer correct to 3 significant figures. (1 mark)
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Level 4
4 marks
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The radius of a circle is
6.4
6.4
6.4
cm, correct to 1 decimal place.
(a)
Work out the upper bound for the circumference of the circle. [2]
(b)
Work out the lower bound for the circumference. [1]
(c)
Use your answers to write down the circumference to a suitable degree of accuracy. Explain your choice. [1]
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Level 4
4 marks
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There are some wooden boards in a stack.
The height of the stack is
58.7
58.7
58.7
cm, correct to the nearest mm.
The thickness of each board is
1.8
1.8
1.8
cm, correct to
2
2
2
significant figures.
Calculate the upper bound for the number of boards in the stack.
You must show all your working.
(3 marks)
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Level 4
3 marks
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M
=
A
B
M = \frac{A}{B}
M
=
B
A
A
=
7.26
×
10
5
A = 7.26 \times 10^{5}
A
=
7.26
×
1
0
5
correct to
3
3
3
significant figures.
B
=
4.8
×
10
2
B = 4.8 \times 10^{2}
B
=
4.8
×
1
0
2
correct to
2
2
2
significant figures.
Work out the upper bound for
M
M
M
.
Give your answer as an ordinary number correct to the nearest integer.
You must show all your working.
(3 marks)
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Level 4
3 marks
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