Questions

From Worst to Best

21 P5.RD.JM.17083262

Level 3
Mr Lim had three bags of soil, A, B and C and the mass of each bag of soil was in the ratio 2 : 4 : 3. Mr Lim decided to transfer 30% of soil from Bag A into Bag B and 60% of soil from Bag C into Bag B. Given that the mass of Bag B was 38.4 kg in the end, how many kilograms of soil were transferred into Bag B?

5 m

Attempt

22 P5.RA.JC.17083243

Level 3
A convenience store sold crabstick, salmon and egg mayo sandwiches. The ratio of the number of crabstick sandwiches made to the total number of sandwiches made was 3 : 7. The ratio of the number of salmon sandwiches made to the total number of sandwiches made was 1 : 5. After the store sold some crabstick sandwiches and made another 42 salmon sandwiches, there was an equal number of crabstick, salmon and egg mayo sandwiches left. Find the number of crabstick sandwiches sold.

5 m

Attempt

Ratio to units Equal stage after Unchanged quantity Unchanged total Units table

23 P5.RA.JC.17083291

Level 3
At the beginning of the year, the number of members in Club A and Club B were in the ratio 5 : 7. At the end of Term One, some members left Club A to join Club B. The ratio of the number of members in Club A and Club B became 1 : 3. At the middle of Term Two, each club received 54 new members. The ratio of the number of members in Club A and Club B became 2: 3. How many members left Club A to join Club B at the end of Term One?

5 m

Attempt

Ratio to units Equal stage Internal transfer Unchanged total Unchanged difference Units table

24 P5.PC.JC.17083276

Level 3
Nera and Rose shared a bag of marbles. Nera had 40% as many marbles as Rose. When Rose gave 75 marbles to Nera, Nera had 40% more marbles than Rose. Find the total number of marbles the girls shared.

4 m

Attempt

Percent to units Percent of different bases More than or less than Internal transfer Unchanged total Units table

25 P5.FR.NK.22122915

Level 3
A group of students took part in a survey to vote for their favourite sport. Each pupil voted for only 1 type of sport: canoeing, rugby or fencing. ⁵₇ of them voted for either canoeing or rugby. ²₅ of them for either rugby or fencing. 48 of them voted for rugby. How many students took part in the survey?

4 m

Attempt

Fraction to units Unchanged total Units table

26 P5.DA.JM.17083193

Level 3
Jane was attempting to read a book within a week. On Monday, she had read ³₇ of the book. By Friday, she had read another 60 pages and the ratio of the number of pages read to the total number of pages was 9 : 11. Find the average number of pages Jane should have read each day to complete the book in a week.

5 m

Attempt

Average Time Fraction of a whole Ratio to units Unchanged total Units method

27 P5.FR.JM.17083007

Level 3
Sandy, Tina and Vivian baked some tarts. Sandy and Tina baked ³₄ of the tarts. Tina and Vivian baked ³₅ of the tarts. Sandy and Vivian baked 520 tarts altogether.