401 P5.DA.JM.17083176
Level 3
The average mass of a group of girls was 37 kg. When Jamie, a girl, joined the group, the average mass of the group became 34 kg. If Jamie had a mass of 22 kg, how many girls were there in the group in the end?
3 m
2 Averages Average with unknown quantity Mass Number x value Units equations Units table
402 P5.ST.JC.18121173
Level 3
Adam has some blue stickers and red stickers.
If 100 blue stickers are removed, 75% of the stickers will be blue stickers.
If 500 red stickers are added, 20% of the stickers will be blue stickers.
  1. How many blue stickers are there?
  2. How many red stickers are there?
4 m
Percent of a set Percent to units All change Double if Units table Units & parts
403 P6.FR.TL.16010120
Level 3
Rael's age is 25 of his granduncle's. His granduncle will be 63 years old in 8 years' time. In how many years' time will Rael's age be 23 that of his granduncle's?
3 m
Fraction to units Unchanged difference Units table
404 P6.PC.JC.18010808
Level 3 PSLE
Mrs Curry bought a bag and a pair of shoes at a discount. She spent a total of $57.60 on these two items. She spent $9.60 more on the shoes than on the bag.
  1. How much did she spend on the shoes?
  2. The total discount given for the two items was $22.40. She was given a 25% discount for the bag. What was the percentage discount given for the shoes?
4 m
Finding percent Discount More than or less than Units table
405 P5.RA.NK.22123018
Level 3
The ratio of the number of $2-notes to $10-notes in Dana's bag was 1 : 3. Dana exchanged 14 pieces of $10-notes for $2-notes. She then had an equal number of $2-notes and $10-notes. What was the total value of $2-notes and $10-notes in Dana's bag at first?
4 m
Ratio to units Money Equal stage after Number x value Proportional exchange Units equations Units table
406 P5.DA.NK.23052625
Level 3
The average height of some boys is 145 cm. When 3 girls, with a total height of 393 cm, are included, the average height if the children becomes 142 cm. How many children are there altogether?
3 m
2 Averages Average with unknown quantity Length Number x value Units equations Units table
407 P6.RD.TL.16010123
Level 3
A fruit seller had apples and durians. The ratio of apples to durians was 5 : 3. After 34 of the apples and 38 durians were sold, there were 2 times as many apples as durians left. How many apples and durians were there at first?
4 m
Fraction to units Ratio to units Times as many All change Units table Decimal units
408 P5.ST.JC.18121174
Level 3
Adam has 300 stickers in 3 colours.
40% of the stickers are blue.
The number of red stickers is 13 that of yellow stickers.
  1. What percentage of the stickers are yellow?
  2. How many red stickers are there?
3 m
Fraction to units Finding percent Percent of a set Percent to units Combined repeated identity Remainder concept Units table Units manipulation
409 P6.PC.JC.21060210
Level 3 PSLE
Lynn wanted to buy a dress. She saw a red dress on sale at 10% discount and a blue dress at 20% discount. Both dresses had the same original price before the discounts. To buy the red dress, Lynn would need $3.50 more that what she had. So Lynn bought the blue dress. After that, she had $1 left.
  1. What was the original price of the red dress?
  2. How much money did Lynn have at first?
4 m
F Multiplication Discount Money Units table
410 P5.DA.NK.23052627
Level 3
Simon has some black and red balls. The total mass of all his balls is 242 g. He has 5 more red balls than black balls. The average mass of the black balls is 6 g. The average mass of the red balls is 10 g. How many balls does Simon have altogether?
3 m
2 averages Average with unknown quantity Mass Number x value More than or less than Units equations Units table

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