51 P6.AP.TL.17090784
Level 3 PSLE
In the figure, the square LMNO is made up of two parts, X and Y. The part, X, is formed by a semicircle and the line LM. The perimeter of X is 36 cm and the perimeter of the shaded part, Y, is 64 cm.
  1. Find the perimeter of the square LMNO.
  2. Find the area of the shaded part Y. (Take π =227)
3 m
Square Semicircle Composite figure area Units & parts Elimination
52 P6.DE.TL.16010142
Level 3 PSLE
A crate filled with 35 mangosteens has a mass of 16.4 kg. The same crate when filled with 15 durians has a mass of 3.64 kg. The mass of 1 mangosteen is twice the mass of 1 durian. Find the mass of the crate when it is empty. Express the answer in g.
5 m
Mass Unit conversion Times as many Repeated identity Units & parts & boxes Elimination
53 P6.DE.TL.16010143
Level 3
A briefcase with 5 magazines in it has a mass of 2.58 kg. When 6 more magazines and 22 guide books are added, the mass becomes 4.28 kg. Each magazine has a mass 2 times as much as each guide book. Find the mass of the briefcase when it is empty. Express the answer in kg.
5 m
Mass Unit conversion More than or less than Times as many Repeated identity Units & parts & boxes Elimination
54 P6.RA.TL.16010149
Level 3
Henry's salary to Ken's salary is 5 : 7. The former saves $320 while the latter saves $232. If Ken's spending to Henry's spending is in the ratio of 8 : 5, what are Henry's and Ken's salaries respectively?
(a) Henry
(b) Ken
5 m
Ratio to units Money All change Units table Units & parts Elimination
55 P6.RA.TL.16010130
Level 3
Mrs Lu had a total of 520 purple and yellow lilies in the ratio of 8 : 5. After she had given away 6 times as many purple lilies as yellow lilies, the number of purple and yellow lilies left was in the ratio of 10 : 9. How many more purple lilies than yellow lilies did she give away?
5 m
Ratio to units More than or less than Times as many All change Units table Units & parts & boxes Elimination
56 P5.RD.JM.17083335
Level 3
A coin bank contains some twenty-cent and fifty-cent coins in the ratio of 4 : 5. When 16 fifty-cent coins were taken out and replaced by some twenty-cent coins, the ratio became 8 : 7. The total value of the twenty-cent coins added was the same as the total value of the fifty-cent coins taken out. Find the sum of money in the coin box.
5 m
Ratio to units Money Equal stage after Number x value Proportional exchange Units equations Units table Units & parts Elimination
57 P6.RD.TL.16010132
TRY FOR FREE
Level 3 PSLE
Nick had doughnuts and Ethan had scones. Both gave half of what they had to each other. Nick sold 8 doughnuts and Ethan sold 42 scones. In the end, the ratios of doughnuts to scones for Nick and Ethan were 1 : 5 and 1 : 3 respectively. How many doughnuts did Nick have at first?
4 m
VideoAttempt
Fraction to units Ratio to units Equal stage before Internal Transfer All change Model & units table Units & parts Elimination
58 P6.PC.JC.19072702
Level 3 PSLE
Annie and Bindy made some butter muffins and raisin muffins. Annie made 33 more butter muffins than raisin muffins. Bindy made 65 more raisin muffins than butter muffins. The total number of butter muffins made up 42% of the total number of muffins they made. How many raisin muffins did they make altogether?
4 m
Percent of a set More than or less than Units & parts & boxes Elimination
59 P6.RA.TL.16010144
Level 3
Lisa had four baskets, C, D, E and F which contain a total of 351 kiwis. She transferred 7 kiwis from basket C to basket D, 24 kiwis from basket D to basket E and 38 kiwis from basket E to basket F. The ratio of the number of kiwis in basket C to basket D to basket E changed from 4 : 8 : 11 to 1 : 3 : 9. How many kiwis were in basket F at first?
5 m
Ratio to units Internal transfer Units table Units & parts Elimination
60 P6.FR.TL.16010149
Level 3
149 pupils went for a Physical Fitness Test and 25 of them achieved Bronze certificates. 25 of the girls and 13 of the boys achieved Bronze certificates. How many girls did not achieve Bronze certificates?
4 m
Fraction to units Remainder concept Units table Units & parts Elimination

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