Name : ____________________ Date : _____________
Score : _____________
Write down your correct answer and show your workings:
1) Both Jane and Tom
received some money each from their mother.
Tom received $360 and spent 3/5 of his money on a computer game
while Jane spent part of the money she received on a dress.
They both had the same amount of money left.
(a) How much money did Tom have after buying the computer game?
(b) If Jane had paid $120 for the dress, how much money did she receive
from her mother?
(a)
(b)
2) Mr Tan sold 456
roasted ducks at $23 each in two days.
He sold 5 times as many roasted ducks on the first day as the second day.
How much did he collect on the first day?
3) There are some ducks and
cows in the farm. Altogether, there are 27 heads and 84 legs.
How many ducks and how many cows are there?
4) 2 rectangles A and
B overlap at X as shown in the diagram below.
X is 1 / 8 of rectangle A.
X is 1 / 6 of rectangle B.
If the length of rectangle B is 9 cm and its breadth is 4 cm,
what is the area of the unshaded part of figures A and B?
5) There were 3 1/8
L of milk in a jug.
Mr Lee drank 1/4
L of the milk while Mrs Lee drank 1/2 L of the milk.
How many litres
of milk were left in the jug?
Answers:
1) Tom 5 / 5 - 3 / 5 = 2 / 5 left
a) 5 units = 360
1 unit = 360 / 5 = 72
2 unit = 72 x 2 = 144
Tom had $144 after buying a computer game.
b) Jane = Same
money left as Tom
So Jane also Left 144
Received = 144 + 120 = 264
She received 264 from her mother.
2) First day
U U U U U
Second day
U
Total = 6 units
456 / 6 = 76
76 x 23 = 1748
5 units = 76 x 5 = 380
1st day = 380
380 ducks = 23 x 380 =
8740
Mr Tan collected $8740 on the first day.
3) Assumption question, 27
heads, so start by dividing it by 2 first, then decide whether to +1 or
-1
27 / 2 = 14 + 13
Duck (2 legs)
Cows (4 legs) Total
14 x 2 = 28
13 x 4 = 52 80
13 x 2 = 26
14 x 4 = 56 82
12 x 2 = 24
15 x 4 = 60 84
4) Area of rectangle B = 9 x 4 = 36 cm2
Area of X (rectangle B)
= 1 / 6 x 36 = 6 cm2
Area of X (rectangle A)
= 6 x 8 = 48 cm2
Unshaded A = 48 - 6 = 42
Unshaded B = 36 - 6 =
30
Total = 42 + 30 = 72 cm2
The area of the unshaded part of figures A and B is 72 cm2
5) 1/4 convert to denominator of 8 = 2/8
1/2 convert to denominator
of 8 = 4/8
Total milk = 3 1/8
Mr Lee drank
= 3 1/8 - 2/8 = 2 7/8
Mrs Lee drank =
2 7/8 - 4/8 = 2 3/8
2 3/8 L of milk was left in the jug.