Measurement - StudyChamp

English 1st Language
Grade 6
1
Measurement
Question 1:
Circle the correct answer from the options given:
1. How many 100g weights are needed to balance a weight of 58kg?
a) 5,8
b) 58
c) 580
(1)
d) 5 800
2. If seven 250g packs of sugar has been removed from a 6,25kg bag, how many packs of sugar
will be left?
a) 4,5
(2)
b) 18
c) 6
d) 9
3
3. How many 300ml cups can be filled from
of a 6,5 litre can?
5
a) 36
b) 3,9
c) 13
(2)
d) 12
4. ⅛ of tonne is ___________________ kg.
a) 125
b) 0,125
(1)
c) 0,25
d) 250
5. If a 678 cm length of rope is divided into three equal pieces, each will measure;
a) 226mm
b) 2,26m
c) 0,226m
(2)
d) 26cm
6. Samantha weighs 4kg 367g more than Veronica, who weighs 42kg 189g. How much do they
weigh altogether?
a) 46,556kg
(2)
b) 86,745
c) 46,565kg
d) 88,745kg
7. 32 Petrol tankers have to deliver 17 056 ℓ of petrol every week. How many kilolitres of petrol
will be delivered in four weeks?
a) 545 792ℓ
b) 2 183 168ℓ
(2)
c) 545,792kℓ
d) 2 183,168kℓ
8. The swimming team has to swim 3,75 km every day. How many of the 25 metre lengths do
they swim in a 5 days?
a) 750
b) 150
(2)
c) 55
d) 75
9. Three lengths of electric cabling measure 64m 3cm, 87m 345mm and 98m 91mm. What is the
length in total of the electric cabling?
a) 192,685m
b) 250,258m
(2)
c) 249,466m
d) 250,285m
10.The construction company mixes cement using a dry cement to water ratio of 3:5. If they
mixed a total of 5,08 tonnes of cement, how many kilograms of dry cement was used? (2)
a) 1 693,33kg
b) 1 905kg
c) 635kg
d) 3 175kg
English 1st Language
Grade 6
2
Measurement
Question 2:
1.
2.
Conversions
Complete the table:
(10)
3 kℓ 45ℓ
= ____________ ℓ
578m 23mm
= ______________ m
209,08kg
= ____________ g
4 903,045m
= ______ m_____ cm
4,06t
= ___________ kg
67 802ℓ
= _____________ kℓ
192cm
= ___________ m
2 309,09g
= _____________ kg
7mℓ
= ___________ ℓ
5 km 154 cm
= _____________ m
Answer the following questions:
(10)
a) How many millimetres in a kilometre?
__________________________________
b) How many centimetres in ⅛ of a metre?
__________________________________
c) How many milligrams in a gram?
__________________________________
d) How many kilograms in ½ a tonne?
__________________________________
e) How many millilitres in 2 litres?
__________________________________
f) How many grams in 53 kilograms?
__________________________________
g) How many millimetres in a centimetre?
__________________________________
h) How many centimetres in a kilometre?
__________________________________
i) How many milligrams in ¾ of a gram?
__________________________________
j) How many ½ litres in a kilolitre?
__________________________________
3. Complete by filling in the missing measurements:
(5)
a) ______________ m = __________ cm = 350mm
b) 7,036kℓ = ____________________ ℓ = _________ kℓ __________ℓ
c) ______________ kg = 2,09t = ________t _________ kg
d) 3 078m = ________________ km = ___________ m ___________ cm
e) _______________ mg = 56g = ________________ kg
4. Give the answer in centimetres:
a) 8,107m
___________________________________
b) 0,089km
___________________________________
c) 7 802mm
___________________________________
(3)
English 1st Language
Grade 6
3
Measurement
Question 3:
Draw in the intervals on each scale, then indicate the mass on the scale. Write
only the letters A, B or C on the scales.
(6)
1.
30kg
20kg
A = 22 500g
B = 28,5kg
C = 26 000g
2.
5g
A = 5 800mg
Question 4:
B = 5,2g
C = 5 400mg
Refer to the two scales, then answer the questions which follow:
A
1.
6g
B
A = _______________________
B = _____________________
2. How many more grams is the mass on Scale A than the mass on Scale B?
(2)
(2)
_____________________________________________________________________________
_____________________________________________________________________________
3. If 8,097kg is moved from Scale A and added to Scale B, what would the new readings on the
scales be? __________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
____________________________________________________________ (3)
English 1st Language
Grade 6
4
Measurement
Question 5:
Refer to the measuring jugs and answer the questions which follow:
A
B
C
20 litre
4 000ml
10 litre
2 000ml
1.
Capacity A =
Capacity B =
Volume A =
Volume B =
½ each (2)
2. If a ⅛ of the liquid in container B is transferred to container A, how many litres will be in
container A?
(3)
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
3. If the total volume of liquid in all three containers is 32,055 litres, how many millilitres of liquid
is in container C?
(3)
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
4. How many 400ml cups can be filled from container B?
(3)
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
_____________________________________________________________________________
English 1st Language
5
Grade 6
Measurement
Question 6:
Problem Solving
1. Three wooden logs, measuring 4,029m, 547cm and 7 803mm are arranged in a line with 35cm
gaps between each log. What will the length be from the beginning of the first log to the end of
last log?
(4)
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
2. If Jason can drink 345mℓ of Cola in 15 seconds, how many litres will he be able to drink in an
minute?
(3)
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
3. Ellie has to take 1 256mg of Vitamin C; 0,815g of Magnesium and a Calcium tablet.
The total mass of the three tablets adds up to 2,649g. How many milligrams is the mass of the
Calcium tablet.
(3)
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
4. PPC Cement will provide ⅝ of the 38 tonnes of cement needed to construct the new office
park. A third of the remainder of the cement required, will be provided by Lafarge Cement,
while the rest will be provided by Sepaku Cement.
a)
How many kilograms of cement will be provided by each company?
(3)
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
_________________________________________________________________
English 1st Language
Grade 6
6
Measurement
b) Sephaku Cement delivers the cement in 50kg bags. How many bags will be delivered to the
building site?
(2)
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
c) The price of Lafarge Cement is R34,20 per kg. What will be the cost of the cement delivered by
Lafarge Cement?
(2)
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
______________________________________________________________________________
Total:
/85
English 1st Language
Grade 6
7
Memo:
Question 1:
Circle the correct answer from the options given:
1. c)
2. b)
9. c)
10. b)
Question 2:
1.
2.
3. c)
4. a)
5. b)
6. d)
7. d)
8. a)
Conversions
Complete the table:
(10)
3 kℓ 45ℓ
= 3 045ℓ
578m 23mm
= 578,023m
209,08kg
= 209 080g
4 903,045m
= 4 903m 4,5cm
4,06t
= 4 060kg
67 802ℓ
= 67,802kℓ
192cm
= 1,92m
2 309,09g
= 2,309kg
7mℓ
= 0,007ℓ
5 km 154 cm
= 5 001,54m
Answer the following questions:
(10)
a) How many millimetres in a kilometre?1 000mm in a metre, 1 000m in a km = 1 000 000mm
b) How many centimetres in ⅛ of a metre?
⅛ of a metre = 125mm = 12,5cm
c) How many milligrams in a gram?
1 000mg
d) How many kilograms in ½ a tonne?
500kg
e) How many millilitres in 2 litres?
2 000mℓ
f) How many grams in 53 kilograms?
53 000g
g) How many millimetres in a centimetre?
10mm
h) How many centimetres in a kilometre? 100cm in a metre, 1 000 metres in a km = 100 000cm
i) How many milligrams in ¾ of a gram?
¾ of a gram = 750mg
j) How many ½ litres in a kilolitre?
1 000 litres in a kilolitre, 2 000 ½ litres in a kℓ
3. Complete by filling in the missing measurements:
(5)
a) 0,350m = 35cm = 350mm
b) 7,036kℓ = 7 036 ℓ = 7kℓ 36ℓ
c) 2 090kg = 2,09t = 2t 90kg
d) 3 078m = 3,078 km = 3 000 m 7,8 cm
e) 56 000 mg = 56g = 0,056 kg
4. Give the answer in centimetres:
a) 8,107m
810,7cm
b) 0,089km
8 900cm
c) 7 802mm
780,2cm
(3)
English 1st Language
Grade 6
8
Memo:
Question 3:
Draw in the intervals on each scale, then indicate the mass on the scale. Write
only the letters A, B or C on the scales.
(6)
1.
20kg
A = 22 500g
B
25kg C
A
B = 28,5kg
30kg
C = 26 000g
2.
5g
B
A = 5 800mg
Question 4:
1.
A
C
B = 5,2g
6g
C = 5 400mg
Refer to the two scales, then answer the questions which follow:
A = 37,5kg
B = 21kg
(2)
2. How many more grams is the mass on Scale A than the mass on Scale B?
(2)
37,5kg - 21kg = 16,5kg = 16 500g
3. If 8,097kg is moved from Scale A and added to Scale B, what would the new readings on the
scales be?
(3)
37,5kg - 8,097kg = 29,403kg (new Scale A reading)
21kg + 8,097kg = 29,097kg (new Scale B reading)
Question 5:
1.
Refer to the measuring jugs and answer the questions which follow:
Capacity A = 4 000mℓ
Capacity B = 20ℓ
Volume A = 1 500mℓ
Volume B = 17ℓ
½ each (2)
2. If a ⅛ of the liquid in container B is transferred to container A, how many litres will be in
container A?
17ℓ ÷ 8 = 2,125ℓ
(3)
1,5ℓ + 2,125ℓ = 3,625ℓ (new volume in container A)
3. If the total volume of liquid in all three containers is 32,055 litres, how many millilitres of liquid
is in container C?
32,055ℓ - (1,5ℓ + 17ℓ) =
(3)
x
x = 32,055ℓ - 18,5ℓ = 13,555ℓ
Container C has a volume of 13 555mℓ
4. How many 400ml cups can be filled from container B?
17 000mℓ ÷ 400mℓ = 170mℓ ÷ 4mℓ = 42,5 (drop the additional zeroes when dividing)
42,5 or 42½ cups can be filled from container B.
(3)
English 1st Language
Grade 6
9
Measurement
Question 6:
Problem Solving
1. Three wooden logs, measuring 4,029m, 547cm and 7 803mm are arranged in a line with 35cm
gap between each log. What will the length be from the beginning of the first log to the end of
last log?
(4)
4,029m
5,47m
0,35m
7,803m
0,35m
4,029m + (0,35m x 2) + 5,47m + 7,803m =
x
(Remember to work with only one unit)
x = 4,029m + 0,7m + 5,47m + 7,803m = 18,002m
The length from beginning to end will be 18,002m
2. If Jason can drink 345mℓ of Cola in 15 seconds, how many litres will he be able to drink in an
minute?
(3)
Ratio sum:
345 : 15
x4
x4 (How do I get from 15s to 60s? Multiply by 4)
? : 60
345mℓ x 4 = 1 380mℓ
Jason will be able to drink 1,380ℓ of Cola in a minute.
3. Ellie has to take 1 256mg of Vitamin C; 0,815g of Magnesium and a Calcium tablet.
The total mass of the three tablets adds up to 2,649g. How many milligrams is the mass of the
Calcium tablet.
2 649mg - (1 256mg + 815mg) =
(3)
x (Remember: Only work with one unit e.g. mg or g!)
x = 2 649mg - 2 071mg = 578mg
The Calcium tablet has a mass of 578mg.
4. PPC Cement will provide ⅝ of the 38 tonnes of cement needed to construct the new office
park. A third of the remainder of the cement required, will be provided by Lafarge Cement,
while the rest will be provided by Sepaku Cement.
a)
How many kilograms of cement will be provided by each company?
⅝ x 38 000kg =
x
(38 000kg - x) ÷ 3 =
38 000kg
y
- (x + y ) = z
x = 38 000kg ÷ 8 x 5 = 23 750kg
y = (38 000kg - 23 750kg) ÷ 3 = 14 250kg ÷ 3 = 4 750kg
z = 38 000kg - (23 750kg + 4 750kg) = 38 000kg - 28 500kg = 9 500kg
PPC Cement will provide 23 750kg of cement.
Lafarge Cement will provide 4 750kg of cement.
Sepaku Cement will provide 9 500kg of cement.
(3)
English 1st Language
Grade 6
10
b) Sephaku Cement delivers the cement in 50kg bags. How many bags will be delivered to the
building site?
9 500kg ÷ 50kg =
x
(950 ÷ 5 - drop a zero on both sides when dividing)
x = 190
Sephaku Cement will deliver 190 bags to the building site.
c) The price of Lafarge Cement is R34,20 per kg. What will be the cost of the cement?
4 750kg x R34,20 =
x = R162 450,00
x
(use vertical multiplication)
The delivery of the Lafarge Cement will cost R162 450,00
Total:
/85