PRACTICE PAPER 1
INSTRUCTIONS
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•
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Attempt ALL questions.
Clearly show your working for every question.
Number all your answers accordingly.
FRACTIONS
1. Work out each of the following:
a)
b)
4
7
3
4
+
−
3
=
8
2
=
9
c)
d)
2 15
𝑥 =
5 22
3
1
÷ 42 =
4
2. Order the following fractions in ascending order:
7 1 5 2
, , ,
10 2 6 3
5 2 2 3
1 ,1 ,1 ,1
8 3 5 4
3. Convert from fractions to decimals:
a)
b)
3
8
5
4
c)
d)
2
9
3
50
4. Change from improper to mixed fractions
a)
b)
19
4
105
12
c)
44
3
5. Change from mixed to improper
4
a) 3 7
2
b) 12 9
2
c) 21 5
6. Work out the following. Give your answers as fractions:
a) Mary needs to order pizza for 18 students. Each student should get 1⁄4 of a pizza. How many pizzas
should Mary order? How much pizza will be left over?
b) Two friends want to share 2 apples so that they each get the same amount. How much would each friend
get?
c) Frank had 3 bags of birdseed. He wants to put the birdseed into 4 bird feeders equally. How much of the
bags will go in each feeder?
d) Jamie runs every morning. On Monday, she ran 8 kilometres. On Tuesday, she ran a three-fifths of the
distance on Monday. On Wednesday, she ran seven-eighths of the distance ran on Tuesday. What distance
does she run on Tuesday and Wednesday respectively?
e) Another runner, Brad, wants to run 21 kilometres in 5 days. If on the first day he runs half the distance,
what distance must he run for each of the remaining days to complete the 21km?
f) A cake is shared at a birthday party. Chris gets a fifth of it and Betty gets an eighth of it. Tim and Brandy
share the remainder equally. What fraction does each one of them get?
DECIMALS
1. Work out each of the following:
a) 0.42 𝑥 0.2 =
b) 1.43 𝑥 3.2 =
c) 4.2 ÷ 0.07 =
d) 1.05 ÷ 0.0005 =
2. Arrange the following in descending order
a) 0.32, 0.302, 0.332, 0.0339
b) 1.432, 1.342, 1.243, 1.433
c) 0.0973, 0.9073, 0.7993, 0.3997
3. Convert the following to fractions:
a) 0.015
d) 5.04
e) 10.125
b) 0.0105
c) 1.35
4. Two children are sharing half a sandwich. How much will each child get?
5. Terry makes $4.25 an hour. She wants to buy a shirt that costs $34. For how long must she work to make
enough money to buy the shirt?
6. A teacher spends $1.75 on chalk each day. How much will she need to buy chalk for the month of May?
Assume she goes to school every single day.
7. Jamie buys her pet some treat. If the cat eats 12.5 grams each day, for how long will she feed on 150 grams of
the treat?
LCM and HCF
1. Find the LCM of the following trios of numbers. Use the table method
a) 24, 11, 14
b) 3, 10, 14
c) 9, 27, 2
2. Find the HCF of the following
a) 12, 15, 18
b) 105, 210, 90
c) 27, 18, 45
3. The product of two numbers is 120. If their HCF is 6, what is their LCM?
4. What is the least length of rope that can be cut into lengths of 45cm, 75cm and 81cm.
5. A red light flashes every 28 seconds. A green light flashes every 24 seconds. If they flash together at 9.00
a.m., At what time will they flash together again?
6. A bus headed to Kisii leaves Nairobi every 36 minutes. Another bus headed to Laikipia leaves Nairobi every
45 minutes. At 10.00 a.m. each of the buses leave Nairobi. At what time will another set of buses leave
Nairobi at the same time?
FACTOR TREE
1. Using the factor tree, find the LCM of
a) 24 and 56
b) 42 and 90
2. Using the factor tree find the HCF of
a) 84 and 96
b) 180 and 225
3. Find the square root of 256 and 64.
4. Find the cube root of 216 and 729.
MIXED
1
1. If Bon buys 1.125 meters of rope each day, how many meters will he have after 5 3 days?
3
2. How many kids are there at a school if 12 4 kilograms of meat can be shared equally among them. Note that
1
each kid consumes 1 2 kilograms.
3
1
3. Samuel has 3 8 meters of cloth. He uses 1 2 meters to make a jacket and a quarter of the remaining material to
make shorts. What length of the material remains after making the jacket and shorts?
2
5
1
2
4. William earns $500 each month. He spends of it on rent, of it on food and saves
much money does William save each month?
1
20
of what remains. How