621 P6.VO.NK.17053167
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.
  1. What is the capacity of Tank B?
  2. What is the volume of water in the tank now in litres?
5 m
Volume of cube Height of cuboid Filling tank Fraction of a whole Unit conversion More than or less than Units method
622 P6.RD.TL.16010129
Level 3
Wendy had $779 more than Hazel. Wendy spent 0.6 of her money and Hazel spent 50% of her money. In the end, Wendy and Hazel had the same amount of money left. Find the amount of money that Wendy had in the end.
5 m
Decimal to units Percent to units More than or less than Equal stage after All change Model & units table
623 P6.FR.TL.16010139
Level 3
Three girls gave an equal amount of money to buy a souvenir for Oscar. Diana used 13 of her money. Fiona used 34 of her money and Ruth used 12 of hers. They had a total of $190 at first. How much was the souvenir?
4 m
Fraction to units Equal stage before Common numerator All change Units table Units manipulation
624 P6.RD.JC.16010123
Level 3
A store owner had 130 more oranges than lemons. After he sold 80% of the oranges and 30% of the lemons, he was left 19 more lemons than oranges. What fraction of the fruits left were lemons?
5 m
Fraction of a set Percent to units Percent of different bases More than or less than All change Model & units table
625 P6.FR.TL.16010154
Level 3
The museum tickets are priced at $10 and $5. The number of $10-dollar tickets available is 289 that of the number of $5-dollar tickets. 2 out of 3 of the $10-dollar tickets and all the $5-dollar tickets were sold. The ticket sales amounted to $8515. How much more would have been collected if all the tickets were sold?
4 m
Improper fractions Mixed numbers Fraction to units Money More than or less than Number x value All change Units table Units manipulation
626 P6.RD.TL.16010184
Level 3
Yvonne and George collect pens and stickers. George has 70 more stickers than pens. George has 3 times the number of pens Yvonne has, and Yvonne has 40% more stickers than George. After Yvonne gives George all of her pens and George gives Yvonne 60% of his stickers, George has 64 more pens than stickers. Find the number of stickers Yvonne has at first.
5 m
Percent to units Percent of different bases More than or less than Times as many Internal transfer All change Model & units table Decimal units
627 P6.DA.TL.18011920
Level 3
The average points accumulated by 6 children is 91.5. They have all attained different points which are whole numbers. The lowest point is 70 while the highest point is 100.
  1. Find the average points achieved by the 4 children whose marks lie between the highest and the lowest.
  2. Find the smallest possible second lowest mark among these 6 children.
  3. Find the largest possible second lowest mark among these 6 children.
5 m
Average with min-max More than or less than Units method
628 P6.RD.TL.16010133
Level 3
Auntie Zoe baked 45 more strawberry cookies than cheese cookies. After she gave 13 of the strawberry cookies and 0.4 of the cheese cookies to Hazel, she was left with 119 fewer cheese cookies than strawberry cookies. How many cookies did she bake?
5 m
Fraction to units Decimal to units More than or less than All change Units equations Units manipulation Model & units table
629 P6.PC.TL.16010114
Level 3
Sarah had 70% as many candies as Xuan. Sarah gave away 10% of her candies and Xuan bought another 99 candies. As a result, Sarah now has 30% as many candies as Xuan. Find the number of candies that Xuan had at first.
5 m
Percent of a set Percent to units Percent of different bases All change Units table Decimal units Units manipulation
630 P6.FR.TL.16010163
Level 3
Cathy and Queenie have some money. If Cathy spends $7, she will have 45 as much money as Queenie. If Queenie spends $3, Cathy will have 56 as much money as Queenie. How much money does Cathy have?
4 m
Fraction to units Double if Units table Units & parts Elimination
631 P6.RD.TL.16010146
Level 3
At the bird park were some adults. 12 of the number of tourists was equal to 2 times the number of locals. When another 19 tourists entered and 51 tourists left, the ratio of the number of tourists to the number of locals become 7 : 2. Find the number of tourists at the bird park at first.
5 m
Fraction to units Ratio to units Times as many All change Units table Units & parts Elimination
632 P6.FR.TL.16010162
Level 3
Tina and Sarah have some cupcakes each. If Tina gives Sarah 49 cupcakes, Tina will have 34 as many cupcakes as Sarah. If Tina gives Sarah 19 cupcakes, they will have an equal number of cupcakes. How many cupcakes does Tina have at first?
4 m
Fraction to units Equal stage after Unchanged total Double if Units equations Units table Decimal units
633 P6.RD.TL.16010150
Level 3
Mr Yap bought some pizzas for a group of pupils. There is an equal number of girls and boys. The girls received 5 times as many pizzas as the boys. Each boy ate 13 of a pizza and the boys finished all the pizzas given to them. Each girl ate 16 of a pizza and the girls had 18 12 pizzas left. How many pizzas did Mr Yap buy?
5 m
Fraction to units Times as many Equal stage before All change Units table Units & parts Elimination
634 P6.PC.TL.16010122
Level 3
On Monday, there were 320 more adults than children at the funfair. On Tuesday, the number of adults increased by 65% and the number of children increased by 55%. There were 1552 people on Tuesday. How many adults were there on Monday?
5 m
Percent change by Percent to units Percent of different bases More than or less than All change Model & units table
635 P6.SP.TL.18012282
Level 3
Building A and Building B were 360 km apart. A car travelled from Building A towards Building B. At the same time, a bus started from Building B to Building A. After travelling 112 hours, the two vehicles were still 144 km apart. If the ratio of the average speed of the bus to that of the car was 4 : 5, find
  1. the average speed of the bus.
  2. the time taken for them to meet. travelling the rest of the journey
4 m
DST triangle Average speed Different starting point Same starting time Distance apart Direct ratio Common time Duration Units method
636 P6.RD.TL.16010182
Level 3
At a conference made up of speakers and participants, there were 10% more men than women. The ratio of the male speakers to female speakers was 8 : 5. There was an equal number of male and female participants.
  1. Find the ratio of male speakers to male participants at the conference at first.
  2. Halfway, 89 male participants left the conference and another 73 female participants joined the conference. In the end, there were 34 as many male participants as female participants remaining behind. How many speakers were there at the conference?
5 m
Fraction to units Finding ratio Ratio to units Percent to units More than or less than Equal stage before Remainder concept All change Units table Units & parts & boxes Elimination
637 P6.FR.TL.16010105
Level 3
Mrs Lee gave Wendy and Yvonne some money each on Saturday. On Sunday, Wendy gave 15 of the amount she had to Yvonne. On Monday, Yvonne gave 14 of the amount she had to Wendy. In the end, Wendy had $65 and Yvonne had $147. How much did Yvonne had more than Wendy at first?
4 m
Fraction to units Internal transfer Unchanged total Working backwards Units table Units & parts Substitution
638 P6.AP.TL.17090725
Level 3
  1. The figure shows a rectangular field EFGH. Mike walked from E to F to G to H and he covered a distance of 57m. Sandy walked from F to G to H to E and she covered a distance of 48m. What is the perimeter of the field?
  2. Some construction work was undertaken to the same field and a semi-circular part was removed from it. What is the perimeter of the field after the construction? (Take π = 227)
3 m
Rectangle Circumference Semicircle Sets Units & parts
639 P6.RD.TL.16010191
Level 3
A stationery booth sells markers in packs of 4 and 5. At first, there were 4 times as many packs of 4 as packs of 5. After selling half of the packs of 4 and some packs of 5, Mr Zhang packs 15 additional packs of 5. How many packs of 4 are sold if there are 6 times as many packs of 4 as packs of 5 and there is a total of 348 unsold markers?
5 m
Fraction to units Times as many Number x value All change Units table Units manipulation
640 P6.FR.JC.19051501
Level 3
Tom and Jerry had $160 altogether. Jerry gave 47 of his money to Tom. After that, Tom gave 35 of his money to Jerry. In the end, Tom had 14 of the total sum of money. How much did Tom have at first?
4 m
Fraction to units Internal transfer Unchanged total Working backwards Units table Units & parts

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