1. Kitty is riding a bicycle and covers 1815 metres in 11 minutes. What distance can she ride in 5 minutes?
a) 625 m
b) 725 m
c) 825 m
d) 1025 m
Answer: c) 825 m
Explanation: Distance covered in 11 minutes = 1815 m
Distance covered in 1 minute = (1815 ÷ 11) m
Distance covered in 5 minutes = (1815 ÷ 11) × 5 [Solve using BODMAS rule]
= 165 × 5
= 825 m
2. According to research conducted by the airport management, there is an additional 3-minute delay in the system as a whole for every 17 late arrivals. What is the impact of 255 passengers being late for their flights on the whole operation?
a) 15 minutes
b) 30 minutes
c) 45 minutes
d) 60 minutes
Answer: c) 45 minutes
Flights were delayed due to 17 passengers = 3 minutes
Number of breakages due to 255 passengers being late after each 17 passengers = 255 ÷ 17
Total time delay for their flights on the whole operation due to 255 passengers = (255 ÷ 17) × 3 [Using BODMAS rule]
= 15 × 3
= 45
3. What will be the cost of 35 tea packets if the cost of 140 tea packets is $840?
a) $180
b) $210
c) $240
d) $280
Answer: b) $210
Explanation: Cost of 140 tea packets = $840
Cost of 1 tea packet = $(840 ÷ 140)
Cost of 35 tea packets = (840 ÷ 140) × 35 [Using BODMAS rule]
= (6) × 35
= $210
4. Solve the expression using the BODMAS rule:
(1/3 + 5/3) − 5 + 3
a) 0
b) 1
c) −1
d) 2
Answer: a) 0
Explanation: Using BODMAS Rule:
(1/3 + 5/3) − 5 + 3
[Add the like terms.]
= (1 + 5)/3 − 5 + 3
= 6/3 − 5 + 3
= 2 − 5 + 3
= 2 − 2
= 0
5. Simplify the expression:
7 + 7 of 7 ÷ 7 − 35/5
a) 14
b) 7
c) 7/2
d) 7/4
Answer: b) 7
Explanation: Using BODMAS Rule:
7 + 7 of 7 ÷ 7 − 35/5
= 7 + 7 of 7 ÷ 7 − 35/5
= 7 + 49 ÷ 7 −35/5
= 7 + 7 − 7
= 14 − 7
= 7
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