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Form 1 Questions and Answers on Fractions
Without using a
calculator evaluate:
2
1
3
-
1
1
5
o
f
2
1
4
-
(
-
1
2
)
3
(3m 18s)
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1.
A farmer distributed his bags of cabbages as follows: A certain hospital received a quarter of the total number of bags. A nearby school received half of the remainder. A greengrocer received a third of what the school received. What remained was six bags more than what the greengrocer received. How many bags of cabbages did the farmer have?
2.
Three people Korir, Wangare and Hassan contributed money to start a business. Korir contributed a quarter of the total amount and Wangare two fifth of the remainder. Hassan’s contribution was one and half times that of Korir. They borrowed the rest of the money from the bank which was shs 60,000 less than Hassan’s contribution. Find the total amount required to start the business.
3.
Evaluate:
1
3
of (
2
3
4
-
5
1
2
) ×
3
6
7
÷
9
4
4.
Three people Odawa, Mliwa and Amina contributed money to purchase a flour mill. Odawa contributed
1
3
of the total amount, Mliwa contributed
3
8
of the remaining amount and Amina contributed the rest of the money. The difference in contribution between Mliwa and Amina was shs 40000. Calculate the price of the flour mill.
5.
Work out the following, giving the answer as a mixed number in its simplest form.
2
5
÷
1
2
o
f
4
9
-
1
1
10
1
8
-
1
6
x
3
8
6.
Evaluate
3
4
+
1
5
7
÷
4
7
o
f
2
1
3
(
1
3
7
-
5
8
)
x
2
3
7.
Without using a calculator, evaluate,
2
1
4
+
3
5
÷
5
6
o
f
2
2
5
1
7
10
,leaving the answer as a fraction in its simplest form.
8.
Kutu withdrew some money from a bank. He spent
3
8
of the money to pay Mutua’s school fees and
2
5
to pay for Tatu’s school fees. If he remained with Ksh 12 330, calculate the amount of money he paid for Tatu’s school fees.
9.
Without using a calculator, evaluate:
2
1
5
+
2
3
o
f
3
3
4
-
4
1
6
1
1
4
-
2
2
5
÷
1
1
3
+
3
3
4
10.
Without using a calculator, evaluate
1
1
5
-
1
1
3
1
8
-
(
-
1
2
)
2
-
7
15
o
f
2
11.
Muya had a
6
2
3
ha piece of land. He donated
7
8
ha to a school and
1
1
2
ha to a children’s home. The rest of the land was shared equally between his son and daughter. Find the size of land that each child got.
12.
Without using a calculator evaluate:
2
1
3
-
1
1
5
o
f
2
1
4
-
(
-
1
2
)
3
×
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