361 P6.SP.JC.17053055
Level 3
Tap A can fill a tank completely in 2 hours while Tap B takes an hour more to fill the same tank completely. There is a hole at the bottom of the tank which can empty the full tank in 6 hours. How long does it take for the tank to be completely filled if both taps are turned on?
3 m
Rate more than 1 object Duration Volume Same starting time Filling tank Units method
362 P6.ST.JC.18121360
Level 3
3 A + 2 B = 13
4 A + 3 B = 18

Fill in the blanks.
  1. 1 A + 1 B = _____
  2. 1 A = _____
  3. 1 B = _____
3 m
W 4 operations Units & parts Elimination
363 P6.SP.JC.17053160
Level 3
The figure shows a rectangular tank measuring 30 cm by 15 cm by 20 cm. Vera poured 558 mℓ of water into the tank. Then she turned on two taps at the same time to fill up Tank with water. Water was flowing from both taps at the same rate. After 5 minutes, both taps were turned off but 1.2ℓ of water had overflowed and was collected in a tray. Find the rate of the flow of water of each tap in millimetres per minute.
3 m
Rate more than 1 object Unit conversion Volume Volume of cuboid Filling tank Units method
364 P6.ST.JC.18121361
Level 3
3 A + 2 B = 13
4 A + 3 B = 18

Fill in the blanks.
  1. 1 A = _____
  2. 1 B = _____
  3. 2 A + 5 B = _____
4 m
W 4 operations Units & parts Elimination
365 P6.PC.TL.16010113
Level 3
In an office tower of 600 workers, 35% of the staff is the same as 70% of the number of visitors. How many less visitors than staff are there in the office tower?
3 m
Percent to units More than or less than Common numerator Units method
366 P6.RD.JC.21022801
Level 3
The number of girls in the dance club was 25 the number of boys in it. The number of girls in the computer club was 67 the total number of students in it. The total number of students in the dance club was 12 the total number of students in the computer club. Find the ratio of the number of boys in the computer club to the number of boys in the dance club.
3 m
Fraction to units Finding ratio Units manipuation Units table
367 P6.FR.JC.22031802
Level 2 PSLE
Mrs Lee had a bottle of oil. She used an equal amount of oil each day. At the end of the 5th day, she had 990 mℓ of oil left. At the end of the 7th day, she had half the bottle of oil left. How many litres of oil were there in the bottle at first?
2 m
Fraction of a whole F Division Volume Unit conversion MRDL Units method
368 P6.VO.NK.17053174
Level 3
The figure shows 2 identical containers each holding 202 cm3 of water. The volumes of the water, the cubes and balls in Tank G and Tank H are 646 cm3 and 1183 cm3 respectively. What is the volume of each ball? Give the answer in cm3.
3 m
Volume of cube Displacement Units & parts Elimination
369 P6.PC.TL.16010103
Level 3
Some adult passengers are on a coach. If 25 tourists alight from the coach, the percentage of locals will increase from 15% to 40%. How many passengers are there in the coach?
3 m
Percent change to Percent to units Percent of different bases Unchanged quantity Units table
370 P6.PC.TL.16010102
Level 3
In a box, there are some mangosteens and lemons. If 80 more lemons are put into the box, the percentage of mangosteens will decrease from 70% to 30%. How many mangosteens are there in the box?
3 m
Percent change to Percent to units Percent of different bases Unchanged quantity Units table
371 P6.DA.NK.21060906
Level 1 PSLE
Mr Lim asked some students to choose their favorite colour for a T-shirt. The results are shown in the graph.
  1. What is the ratio of the number of students who chose purple to the number who chose green to the number who chose yellow?
  2. Mr Yip ordered a total of 360 T-shirts in the three colours according to the same ratio in part (a). How many more yellow than purple T-shirts were ordered?
3 m
Bar graph W 4 operations Finding ratio R Simplest form Units method
372 P6.PC.TL.16010101
Level 3
A store owner had 505 kg of fresh honeydews. The honeydews contained 60% water when fresh. One week later, there was only 50% water left in the honeydews. What was the mass of the honeydews one week later?
3 m
Percent change to Percent to units Percent of different bases Mass Unchanged quantity Units table
373 P6.VO.NK.17053089
Level 2 PSLE
At first, Containers X, Y and Z contained water as shown. Some water from Containers Y and Z was poured into Container X without any spilling over. The amount of water left in Containers Y and Z is shown. What would be the amount of water in Container X?
3 m
Volume transfer Unit conversion Units method
374 P6.DA.NK.21060909
Level 2 PSLE
The bar graph shows the number of storybooks read by a class from January to April. The number of storybooks read is not shown on the scale.
  1. What was the percentage increase in the number of storybooks read from January to February?
  2. The average number of books read in a month from January to April was 25. How many books did the class read in April?
3 m
Bar graph Percent change by Average Units method
375 P6.FR.JC.22050805
Level 3 PSLE
Mr Wong used 38 of his money to buy 8 apples and 12 peaches. The cost of 4 apples was the same as that of 2 peaches. What was the most number of peaches that Mr Wong could buy with the money he had left?
2 m
F Multiplication Min-max Equal stage Units method Units & parts Substitution
376 P6.AG.JC.17080466
Level 3
Lina and Wendy went shopping. After Lina spent $85j, Wendy had 5 times as much as Lina. If Lina had $21j more than Wendy at first,
  1. Express the amount of money that Lina had at first in terms of j.
  2. If j = 10, find the amount of money that the two ladies had left after shopping.
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution More than or less than Times as many Units method
377 P6.VO.NK.17080920
Level 3
A tank with a square base area of 121 cm2 is 60% filled with water. If 4 pails of water are poured into the tank, 756 cm3 of water would overflow. If 3 pails of water are poured into the tank, 128 cm3 of water would overflow. What is the height of the tank ? Give the answer to one decimal place.
3 m
Base area x height Volume transfer D Place values D Round off Percent of a whole Percent to units
378 P6.DA.NK.21060912
Level 2 PSLE
Bella bought three types of fruit. The prices are given in the table.
The bar graph shows the number of each type of fruit bought.
  1. What fraction of the fruits Bella bought were mango? Give your answer in the simplest form.
  2. On which type of fruit did Bella spend the most? Give your answer in letter. (Eg Apples = A)
  3. How much did she spend on that type of fruit?
3 m
Bar graph Table Money Fraction of a set Min-max Number x value Units table
379 P6.AP.TL.17090761
Level 2
The figure, not drawn to scale, is made up of 3 circles. The ratio of the area of the smallest circle to the largest circle is 2 : 5 while the shaded area is 37 of the unshaded area. What is the ratio of the shaded area to the area of the smallest circle?
2 m
Circle Overlapping area Fraction to units Ratio to units Unchanged total Units table
380 P6.PC.TL.16010138
Level 3
60% of the pupils are boys. 40% of the boys and 40% of the girls wear cardigans. What percentage of the pupils do not wear cardigans?
3 m
Finding percent Percent of a set Percent of different bases Branching Unchanged total Units table

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