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Grade 6 Mathematics Online Lessons on Fractions
Work out the following.
a) 2
2
3
+ 3
1
5
b) 13
3
10
+ 18
2
5
(6m 11s)
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1.
Find the LCM of each of the following groups of numbers.a) 4 and 8b) 10 and 15c) 10, 12 and 15d) 24, 20 and 25
2.
What is the smallest number which is divisible by 6, 9 and 15 without a reminder?
3.
What is the shortest possible length of a rope from which equal pieces of ropes measuring 15 cm, 20 cm and 40 cm can be cut?
4.
Three light signals flash at intervals of 12 seconds, 18 seconds and 20 seconds. If the signals are set to flash together, how long will they take to flash together?
5.
Find the least number that is divisible by 15, 18 and 30.
6.
Find the square of each of the following.a)
1
6
b)
5
12
7.
Work out:a)
(
3
7
)
2
b)
(
12
17
)
2
8.
Find the square of each of the following:a) 2
1
8
b) 5
11
12
9.
What is the area of the square below?
10.
The length of a square room is
7
25
cm. What is its area in
m
2
?
11.
Find the reciprocal of the following.a)
1
2
b)
13
15
c)
8
37
d)
12
56
e) 4f) 10
12.
Give an equivalent fraction for each of the following with 100 as a denominator.a)
1
2
b)
15
25
c)
16
50
13.
Convert the following into percentages.a)
1
4
b)
93
100
c)
5
10
d)
3
7
14.
Dennis ate
2
3
of an apple. What percentage of the apple did he eat?
15.
Neema read
5
6
of a story book. What percentage of the storybook did she read?
16.
Boru sold
4
5
of his cows. What percentage of his cows remained?
17.
Work out each of the following fractions.a)
2
3
+
1
6
b)
2
9
+
7
12
18.
Work out:
3
8
+
2
5
+
1
4
19.
What is the sum of
5
9
and
1
4
?
20.
Nelima bought
4
15
kg of beef and
5
12
kg of mutton. If they wrapped together, what was the total mass of the meat?
21.
Abdi used
3
7
litres of water to make porridge and
5
9
litres to prepare food. How much water in litres did he use altogether?
22.
Ravine ate
7
12
of a pineapple. Her sister Wambura ate
1
7
of the pineapple. What fraction of the pineapple did they eat altogether?
23.
Three jugs of water can fill a bucket. If the jugs have a capacity of
3
8
litres,
1
2
litres, and
1
6
litres, what is the capacity of the bucket?
24.
Work out:a)
11
12
-
4
5
b)
7
10
-
7
20
25.
Work out:
5
6
-
2
15
-
4
30
26.
Subtract
7
12
from
7
9
.
27.
Ngolu subtracted three eights from a half. What answer did he get?
28.
Maribe had
7
9
litres of medicine. He gave
3
8
litres to sick goat. What fraction of the medicine remained?
29.
A dairy farmer had
14
15
litres of milk. He sold
7
12
litres. How much milk remained?
30.
Amada had
8
9
kg of flour. He used
4
5
kg to prepare ugali. What fraction of the flour remained?
31.
Work out the following.a) 2
2
3
+ 3
1
5
b) 13
3
10
+ 18
2
5
32.
What is the sum of 2
1
2
and 1
3
16
?
33.
Joan bought 5
1
10
litres of milk while Juma bought 3
1
2
litres of milk. How many litres of milk did Joan and Juma buy altogether?
34.
Grade Six learners drank 10
2
3
litres of porridge on Monday. On Tuesday, they drank 12
2
5
litres of porridge. How many litres of porridge did the learners drink in the two days altogether?
35.
Mpishi served 25
2
3
kg of rice for lunch. In the evening, she served another 15
5
9
kg of rice for supper. How many kilograms of rice did she serve altogether?
36.
Work out: a) 27
5
8
- 26
5
6
b) 9
5
8
- 4
5
6
37.
Mwangemi bought 12
7
8
m of a string. He used 9
3
5
m. How many metres of the string remained?
38.
Rono had 15
11
12
litres of paint. He used 12
3
5
litres to paint a wall. How many litres of paint remained?
39.
A drum full of sand has a mass of 84
1
6
kg. If the mass of the drum when empty is 12
1
2
kg, what is the mass of the sand?
40.
Convert the following percentages into fractions. a)
25
%
b)
70
%
41.
Njau gave
50
%
of his goats to his son. Convert the percentage of goats he gave to his son into a fraction.
42.
During a hand washing day in a school,
98
%
of all the learners washed their hands with soap and clean water. What fraction of the learners washed their hands?
43.
In a certain village,
99
%
of the people sleep under mosquito nets. What fraction of people sleep under mosquito nets?
44.
In a class,
65
%
of the leaners like football and the rest volleyball. What fraction of the learners like volleyball?
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