Homework on Compound Measures and Their Conversions

Homework on compound measures and their conversions

1.The diagram shows some kitchen scales.

(a)Mrs Hall weighs a chicken on the scales.
The chicken weighs 3 kilograms.

(i)Draw an arrow on the diagram to show 3 kilograms.

(1)

(ii)Change 3 kilograms into pounds.
Give your answer to the nearest pound.

......

Answer ...... pounds

(2)

(b)Mrs Hall’s recipe book states:

“To cook a chicken: allow 20 minutes per pound and add 30 minutes.”

How long does it take to cook a chicken that weighs five pounds?
Give your Answer in hours and minutes.

......

Answer ...... hours ...... minutes

(3)

(Total 6 marks)

2.Tick the correct boxes to say whether the following statements are true or false.

True / False
(a) / 1 pound is approximately 450 grams.
(b) / 1 foot is approximately 15 centimetres.
(c) / 1 mile is approximately 1.6 kilometres.

(Total 3 marks)

3.Use the following conversions to change 2 tonnes into pounds (lb).

1 tonne = 1000 kg
1 kg = 2.205 pounds (lb)

......

Answer ...... pounds (lb)

(Total 3 marks)

4.This scale shows pints and litres.

(a)Draw an arrow on the scale to show 2.5 pints.

(1)

(b)Use the scale to estimate how many pints are in 1 litre.

......

Answer ...... pints

(1)

(c)Estimate the number of litres in 8 pints.

......

Answer ...... litres

(2)

(Total 4 marks)

5.Here is a conversion table for litres and pints.

Litres / Pints
1 / 1.75
5 / 8.75
10 / 17.5
20 / 35

(a)Use the table to convert 100 litres to pints.

......

Answer ...... pints

(1)

(b)Use the table to convert 21 litres to pints.

......

Answer ...... pints

(2)

(Total 3 marks)

6.(a)Convert 5 litres to pints.

......

Answer ...... pints

(2)

(b)Convert 7 pounds to kilograms.

......

Answer ...... kg

(2)

(Total 4 marks)

7.Dilip has a space in his living room which is 2 feet wide.
He has a bookcase which is 80 cm wide.

Will the bookcase fit into the space?
You must show your working.

......

(Total 3 marks)

8.A bottle contains 2 litres of water.
1 litre = 1000 cm3
The water is shared equally into 10 identical cups.

Each cup is full.

How much will a cup hold when it is full?
Give your answer in cm3.
You must show your working.

......

Answer …………………………………...... cm3

(Total 4 marks)

9.Jan cycles at 10 mph.

Convert this speed to km/h.

......

Answer ...... km/h

(Total 2 marks)

1.(a)(i)3 shown on scaleB1

accept if intention clear

(ii)3½ × 2.2M1

use a multiplying factor between 2
and 2 inc.
or an answer between 7 and 8

7 or 8A1

(b)5 × 20 or 100M1

130A1

2 hours 10 minutesB1ft

ft from their total time
SC2 answer given as 1h 30m

[6]

2.TrueB1

FalseB1

TrueB1

[3]

3.2 × 1000 × 2.205M2

M1 for one multiplication

4410A1

4.410 or 2000 or 2205 impliesM1

[3]

4.(a)Between 2.4 and 2.6 exclusiveB1

(b)1.7 to 1.8 inclusiveB1

oe 8 × value at 1 pint; 8 ÷ their value in (b); continuation of upward scale M0

4.3 to 4.8A1

[4]

5.(a)175B1

(b)Complete build up method using pintsM1

eg 35 + 1.75

36.75A1

[3]

6.(a)7.5 to 10 pintsM1,A1

M1 for x (1.5 to 2)
A1 answer

(b)3.1 to 3.5 kgM1,A1

M1 for ÷ (2 to 2.2)
A1 answer

[4]

7.30 cm = 1 footBl

or other valid equivalence

2 ft = 75 cmB1

80 cm = 2.66 ft oe

75 < 80 NoB1

2 < 2.66 No

[3]

8.2 × 1000Ml
or 2000
seen or 1000  10

1000 in 5 cups

2000  10Ml
or 200 (per cup)
or 1000  10 × 2
or 3000 or 2000 

their 200 × 1.5Ml
or 3000  10

300A1

[4]

9.10 × Ml

or 5 miles = 8 km

16A1

[2]

The Robert Smyth School1