Free Printable Lower and upper bounds

1.

What is the upper bound and lower bound of 390 grams, measured to the nearest 10 grams?

a)

395 and 385

b)

390.5 and 389.5

c)

400 and 300

d)

400 and 350

2.

What is 89,555 rounded to the nearest 10, 100 and 1,000?

a)

89560 89500 and 89000

b)

89550 89600 and 89600

c)

89560 89600 and 90000

d)

89560. 89600. and 89000

3.

Round 248.561 to 1 decimal place

a)

248.5

b)

249

c)

248.56

d)

248.6

4.

Round 53,879 to 2 significant figures.

a)

53,800

b)

53,900

c)

53,88

d)

54,000

5.

A bag of flour has a mass of 1500 g (to the nearest 10 g). Find the maximum mass of 10 bags of flour.

a)

15050 g

b)

15000.5 g

c)

15000 g

d)

15050 kg

6.

A piece of A4 paper is 21.1 cm by 29.7 cm measured to the nearest 0.1cm. What are the lower and upper bounds of its area, in square centimetres, correct to 1 dp?

a)

624.1325 and 629.2125

b)

624.1 and 629.2

c)

624.13 and 629.21

d)

624 and 629

7.

A cuboid measures 2 x 11 x 9 m measured to the nearest metre.

What is the least possible volume of the cuboid?

a)

198.5

b)

382.375

c)

197.5

d)

223.125

8.

A formula describing the driving force,F, in Newtons of a vehicle is given by $f\ =\ \frac{P}{v}$ whereP is the power in Watts, and v is the velocity in $\frac{m}{s}$

$P=145\ to\ 3\ sf$
$v=23.4\ to\ 1\ dp$
$Work\ out\ the\ lower\ bound\ for\ the\ driving\ force\ of\ the\ car.\$
$Give\ your\ answer\ to\ a\ suitable\ \deg ree\ of\ accuracy.$

a)

6.23

b)

6.16

c)

6.25

d)

6.17

9.

$v\ =\ \sqrt{\frac{a}{b}}$
a = 6.43 correct to 2 decimal places
b = 5.514 correct to 3 decimal places.
By considering bounds, work out the value of v to a suitable degree of accuracy.

a)

1.079

b)

1.0799

c)

1.08

d)

1.0795

10.

If $A\ =\ \frac{B}{C}$ what is the maximum and minimum value of A, if B is 100m correct to the nearest 5 m and C is 10 m correct to the nearest meter? $\$

a)

10.79 $cm^2$ and 9.28 $cm^2$

b)

10.78 $cm^2$ and 9.29 $cm^2$

c)

10.79 $cm^2$ and 9.29 $cm^2$

d)

10.78 $cm^2$ and 9.28 $cm^2$

Lower and upper bounds

Total questions: 10

Worksheet time: 18mins

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