Level 3
Oscar Mobile Company has a few mobile phone service plans. Plan A offers 270 SMS and 90 minutes of talk time for $25.20. Plan B offers 370 SMS and 190 minutes of talk time for $35.20. Oscar Mobile Company is also going to launch Plan C which offers 170 SMS and 260 minutes of talk time. How much should Oscar Mobile Company charge for Plan C if the cost per SMS and the cost per minute of talk time do not vary across the three plans?
Level 3
Min saved two coins every day from Monday to Sunday by putting them into a glass jar. Each coin was either a 5¢ or 20¢ coin. The total value of the coins at the end of 5 weeks was $11.00. How many of the coins were 20¢ coins?
Level 3
Jim started saving part of his pocket money by putting 2 coins in a money box every day. Each coin was either a 20¢ or 50¢ coin. His mother also put on a $1 coin in the box every 7 days. The total value of the coins after 98 days was $82.30.
Level 3
At 5.30 p.m., Bella and Brent left Hotel A for Hotel B at average speeds of 72 km/h and 50 km/h respectively. Upon reaching Hotel B, Bella rested for 20 minutes. She then headed back for Hotel A at an average speed of 72 km/h along the same route. Brent and Bella met each other on their way at 9 p.m.
How much more distance had Bella covered than Brent when they met on their way?
How far apart were Hotel A and Hotel B? Express the answer in mixed number.
Level 3
At 8 a.m., Shaira and Joana raced off together from the starting point of a trail. Shaira ran at an average speed of 3 m/s. Joana ran at an average speed of 4 m/s. Upon reaching the end of the trail, Joana rested for 5 minutes. She then immediately ran back along the same route at 4 m/s. At 8.40 a.m., Shaira met Joana.
Find the total distance covered by the two runners when they met each other. Express the answer in km.
Level 2
The distance around a running track is 426 m. Joyous ran round the track 6 times. How far did she run? (Give the answer in kilometres
and metres.)
Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is 35 filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.
What is the capacity of Tank B?
What is the volume of water in the tank now in litres?
Level 3
The figure is not drawn to scale. It shows a container made of two connected cubical tanks, A and B. Tank A is sealed at the top and completely filled to the brim. Tank B is 35 filled with 129600 mℓ of water. The height of the water level in Tank B is 1 cm higher than that in Tank A. The height of Tank B is 60 cm. Water is then drained from the container and the height of the water level from the base falls to 30 cm.
What is the capacity of Tank B?
What is the volume of water in the tank now in litres?
Level 3
Jake took part in a 25-km cycling race. There was a water refill station at half the distance of the race.
Jake stopped at the water refill station to refill his water bottle. How many kilometres was he away from the starting point to the water refill station?
After passing the water refill station, Jake cycled 710 of the remaining distance and stopped. How many metres was he away from the finishing point?
Level 3
During the school holidays, Vanessa spent 18 of her day outside playing with her friends and 5 hours on playing board games. The rest of her time was spent in the house. How many hours did he spend in the house that day?
Level 3
Mrs Tan had 10 ℓ orange juice. She used 12 of the orange juice for a picnic and 25 ℓ of the remaining orange juice to bake orange-flavoured cookies. How much orange juice did she have left? Give your answer in millilitres.
