Level 3
The prices of two fruits sold at a supermarket is shown.
Grapes: 2 kg for $12
Bananas: 3 kg for $10
Mr Lin bought an equal mass of grapes and bananas and spent $64 more on grapes than on bananas. What was the total mass of fruits that Mr Lin bought?
Mrs Shay spent an equal amount of money on grapes and bananas. In terms of their masses, what was the ratio of grapes to the ratio of bananas Mrs Shay bought?
Level 3
Andy and Benny were planning to run on a circular track with a circumference of 400 m. Both of them started jogging together at the same start point and moved round the track in a clockwise direction at uniform speeds. Andy completed a full round in 50 s. Benny completed a full round in 40 s.
How long would it take for Benny to overtake Andy for the first time?
Level 3
Shan and Ella started off at the same spot and ran at average speeds round a 3-km circular path. Shan took 15 minutes to complete each round. Ella completed each round in 20 minutes.
How far ahead of Ella would Shan be after 1 minute? Express the answer in metres.
How long would it take Shan to meet Ella for the first time?
How many rounds would Shan have completed by then?
Level 2
A number is between 26 and 35. When it is divided by 3, the quotient is a whole number. When it is divided by 5, the quotient is also a whole number. What is the number?
Level 3 A box of pies cost $15 while a box of muffins cost $17. Each box contained either 4 pies or 3 muffins. Mrs Sanchez bought the same number of pies and muffins. She paid $207 more for the muffins. How many boxes of pies did she buy?
Level 3
A bakery was having its grand opening promotion for eclairs and bagels at the prices as shown. Mrs Lim spent an equal amount of money on the eclairs and bagels for her company party. She bought 40 more eclairs than bagels. What was the total number of eclairs and bagels bought by Mrs Lim?
Level 3
A bakery was having its grand opening promotion for eclairs and bagels at the prices as shown. Mrs Lim spent an equal amount of money on the eclairs and bagels for her company party. She bought 40 more eclairs than bagels. What was the total number of eclairs and bagels bought by Mrs Lim?
Level 3
Winnie had two rolls of ribbons of the same length but different designs. She cut the first roll of ribbon into equal pieces of length 36 cm and there were 7 hearts on each piece of ribbon and cut the second roll of ribbon into equal pieces of length 54 cm and there were 9 stars on each piece of ribbon as shown. After she finished cutting both rolls of ribbons, she counted that the total number of hearts was 84 more than the total number of stars. Find the length of one roll of ribbon in cm.
Level 3
Winnie had two rolls of ribbons of the same length but different designs. She cut the first roll of ribbon into equal pieces of length 36 cm and there were 7 hearts on each piece of ribbon and cut the second roll of ribbon into equal pieces of length 54 cm and there were 9 stars on each piece of ribbon as shown. After she finished cutting both rolls of ribbons, she counted that the total number of hearts was 84 more than the total number of stars. Find the length of one roll of ribbon in cm.
Level 3
At a party, every 5th guest gets a face mask and every 8th guest gets a mug. What is the position of the first guest that will get both a face mask and a mug?
Level 3 60 adults were queuing up to collect a free gift. Every 6th adult in the queue received a voucher and every 9th adult received a gift bag. How many adults received both a voucher and a gift bag?
Level 3
At a party, every 5th guest gets a face mask, every 8th guest gets a mug and every 10th guest gets a keychain What is the position of the first guest that will get all three gifts?
Level 3
At a party, every fifth guest gets a face mask, every eighth guest gets a mug and every tenth guest gets a keychain. What is the position of the 2nd guest that will get all three gifts? Give the answer in number(s). (Eg 1)
Level 3
Brad went to the gym every 3 days. Clark went to the gym every 2 days. If they first met each other in the gym on a Monday, when would be the next time they meet each other again?
Level 3
John goes to the gymnasium once every 3 days. Maria also goes to the same gymnasium once every 5 days. If they first met on 4th October on which day would they meet again? Give the answer in number(s). (Eg 1)
Natasha had some T-shirts that she wanted to donate. 3 of them were torn and she had to throw them away. She then packed them equally into boxes. Each box could either contain 6 or 7 T-shirts. What is the smallest possible number of T-shirts Natasha had at first?
Level 3
Two lighthouses flash their lights every 36 seconds and 30 seconds. If they flash together at 8:10 p.m., at what time would the two lighthouses flash their lights together again?
Level 3
Paul has a bell that rings every 4 minutes. Lucy has a bell that rings every 7 minutes. The 2 bells ring together at 11 a.m. What time will the 2 bells ring together again?
Level 3 Mrs Tan puts her jelly beans into goodie bags. Each goodie bag contains the same number of jelly beans. If she puts 3 jelly beans, 4 jelly beans or 5 jelly beans into each goodie bag, she will not have any jelly beans left. What is the smallest number of jelly beans Mrs Tan have?
