Name : ____________________ Date : _____________
Score : _____________
Write down your correct answer and show your workings:
1) A wheel made 72
revolutions.
It has a radius of 23 cm.
How far did it travel?
Ans: ____________________
2) Mrs Lim bought a
luggage, a jacket and a pair of shoes.
The jacket and the pair of shoes cost $232.10.
The luggage and the jacket cost $560.60.
The luggage cost 4 times as much as the pair of shoes.
How much more did the luggage cost than the jacket?
Ans: ____________________
3) The school attendants
arranged all the chairs in the hall in rows of 12 and there was no remainder.
When the chairs were rearranged in rows of 10, there were 7 more rows but
2 chairs left over.
How many chairs were there in the hall?
Ans: ____________________
4) A bus left the Woodlands
Interchange with some passengers.
At the first stop, 5/8 of the passengers got off while 14 passengers got
on the bus.
At the second stop, 29 passengers got off and 5 passengers got on the bus.
When the
bus left the second stop, the number of passengers in the bus was 1/4 of
the number of passengers
when it
left the first stop.
How many
passengers were there in the bus when the bus left the Interchange?
Ans: ____________________
5) Mrs A made a jar of cookies
in the morning.
Out of the 2/7 which she took out, 18 were given away and the remaining
52 cookies were eaten by her children.
In the evening, she made another lot of cookies and she put 1/3 of them
into the same jar as those made in the morning.
After this, the total number of cookies in the jar was 204.
How many cookies did she made in the evening?
Ans: ____________________
Answers:
1) The distance it travelled = No. of revolutions
* Circumference
= No. of revolutions
* Pi * Diameter
= 72 * 3.14 * (
2 * 23 )
= 10400 cm
It travel 10400 cm
2) Cost of luggage - Cost of shoes
= $560.60 - $232.10 = $328.50
Since cost
of luggage is 4x cost of shoes,
luggage =
4 units
shoes
= 1 unit
difference
= 3 units
3 units =
$328.50
1 unit = $109.50
Shoes cost
$109.50
Jacket costs
$232.10 - $109.50 = $122.60
luggage costs
$109.50 x 4 = $438
Difference
of cost between jacket and luggage = $315.40
or Using Algebra,
J + S = 232.10
J + L = 560.60
L = 4S
=> J + 4S
= 560.60
=> (J + S)
+ 3S = 560.60
=> 232.10
+ 3S = 560.60
=> 3S = 328.50
=> S = 109.50
=> L
= 4S = 4 x 109.50 = 438
=> J = 560.60
- 438 = 122.60
=> L - J =
315.40
3) Let the number of rows be n.
12n = 10 (n+7) +
2
12n = 10n + 70 +
2
2n =
72
n = 36
Hence number of
chairs in the hall were 36x12 = 432
4) 3/4 of no. of passengers after 1st
stop = 29 - 5 = 24
Since no.
of passengers after 2nd stop is 1/4 of no. after 1st stop
No. of passengers
after 1st stop = 24 / 3 x 4 = 32
3/8 of no.
of passengers when left interchange = 32 - 14 = 18
Since 5/8
of passengers got off at 1st stop.
No. of passengers
when left interchange = 18 / 3 x 8 = 48
or Using Model
5) 2/7 of morning cookies = 52
+ 18=70
5/7
of morning cookies (in jar) = 70 / 2 x 5 = 175
1/3 of
evening cookies = 204 - 175 = 29
No.
of evening cookies = 29 x 3 = 87