61 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
62 P6.AG.JC.17080460
Level 3
Margaret bought 3 kg of mangoes at $k per kg and 2 kg of papayas at $4k per kg.
  1. Find the amount that she paid for the fruits in terms of k.
  2. If k = 7, how much change did Mrs Lim receive if she paid the fruit seller with a $100 note?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Money
63 P6.AG.JC.17080461
Level 3
Tom has $9. Randy has $2m more than Tom. Wayne has $3m less than Randy.
  1. Find the amount of money that Wayne has in terms of m.
  2. Find the total amount of money that the three boys have in terms of m.
  3. If m = 7, how much does Wayne have?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Money More than or less than
64 P6.AG.JC.17080463
Level 3
A plate cost $b. A bowl cost $20 less than the plate.
  1. Mother bought 2 plates and 1 bowl. How much did Mother pay in terms of b?
  2. If b = 98, find the total amount that Mother paid.
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Money More than or less than
65 P6.AG.JC.22050602
Level 3 PSLE
The table shows the number of glass bottles collected by 3 boys.
  1. Find the total number of glass bottles Abe, Bob and Tim collected. Express the answer in terms of m in the simplest form.
  2. If m = 9, find the average number of glass bottles the 3 boys collected.
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Average
66 P6.AG.NK.21061107
Level 3 PSLE
The perimeter of figure ABCDE is (10w + 14) cm. The perimeter of square ABCD is 20 cm.
  1. Find the perimeter of triangle ADE in terms of w.
  2. The perimeter of figure ABCDE is 44 cm. What is the value of w?
3 m
Algebra in 1 variable Algebra substitution Area perimeter Square Triangle
67 P6.AG.JC.17080440
Level 3
Some oil is leaking from a crack of a container. After z minutes, the volume of the oil left in the container is given as Volume = 40(100 - 5z) cm3. How much oil will be left in the tank after 10 minutes? Give your answer in litres.
3 m
Algebra in 1 variable Algebra substitution Volume Unit conversion
68 P6.AG.JC.23030112
Level 3 PSLE
The figure is made up of two rectangles, ABHF and FGDE, and two right-angled isosceles triangles, BCH and DCG. BA = 13 cm, DE = 8 cm and BH = w cm. AFE and CHGF are straight lines.
  1. Find the length of AE in terms of w. Give your answer in the simplest form.
  2. Find the total area of the figure when w = 16.
3 m
Algebra in 1 variable Algebra substitution Length Area perimeter Rectangle Isosceles triangle
69 P6.AG.JC.17080459
Level 3
Mrs Jensen paid a total of $38 for 3n pens and 4 markers. Each pen cost $2.
  1. Express the cost of 1 marker in terms of n.
  2. If n = 4, how much did each marker cost?
3 m
Algebra in 1 variable Algebra simplifying Algebra substitution Algebra fractions Money
70 P6.AG.JC.17080470
Level 3
The figure shows 2 rectangles. The length of the bigger rectangle is (6m + 8) cm and the breadth is half its length. Find the perimeter of the smaller rectangle.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Rectangle
71 P6.AG.JC.17080471
Level 3
The perimeter of triangle A is equal to that of rectangle B.
  1. Find the length of rectangle B in terms of k.
  2. If k = 3, find the area of rectangle B.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Triangle Equal stage
72 P6.AG.JC.17080472
Level 3
One pencil costs $x. One pen costs $(x + 20). One ruler costs $4x.
  1. Vince bought 2 pencils, 3 pens and 1 ruler. How much did he spend? Simplify your answer in terms of x.
  2. If x = 20, how much did Vince spend altogether?
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Money
73 P6.AG.JC.17080469
Level 3
A rectangle has a length of 16 cm and a breadth of 4q cm. Find
  1. its area in terms of q,
  2. its perimeter in terms of q,
  3. the area of the rectangle if q = 3.
4 m
Algebra in 1 variable Algebra simplifying Algebra substitution Length Area Perimeter Rectangle
74 P6.RD.TL.16010183
Level 3 PSLE
Ruth bought some lollipops and gave half of it to Asher. Asher bought some sweets and gave half of it to Ruth. Ruth ate 17 sweets and Asher ate 31 lollipops. The ratio of Ruth's sweets to lollipops became 1 : 5 and the ratio of Asher's sweets to lollipops became 1 : 3. How many sweets did Asher buy?
4 m
Fraction to units Ratio to units All change Units table Units & parts Substitution
75 P6.RD.JC.16010121
Level 3
34 of Eva's money was equal to 12 of Anna's money at first. After Eva spent $1.70 and Anna spent $0.70, Eva had 35 as much money as Anna.
  1. How much did Anna have at first? Express the answer(s) in 2 decimal places.
  2. How much did Eva have in the end? Express the answer(s) in 2 decimal places.
4 m
D Round off Ratio to units Percent to units Common numerator All change Units table Units & parts Substitution
76 P6.RD.JC.16010122
Level 3
14 of the number of sheep that Farmer Yang head was equal to 25 of the number of sheep that Farmer Tan had. When Farmer Yang sold 300 of his sheep and Farmer Tan bought another 40, the ratio of the number of sheep that Farmer Yang had to the number of sheep Farmer Tan had 7 : 5. What was the total number of sheep that the 2 farmers had at first?
4 m
Fraction to units Ratio to units Common numerator All change Units table Units & parts Substitution
77 P6.RD.TL.16010144
Level 3
The ratio of the amount of money that Anna and Yvonne brought along was 4 : 5. For a friend's birthday present, Anna and Yvonne shared the cost in the ratio of 2 : 3. Anna used up 25 of her money to pay for her share. After paying for her share, Yvonne had $78 left. How much was the birthday present?
4 m
Fraction of a whole Ratio to units All change Units table Decimal units Units & parts Substitution
78 P6.RD.TL.16010138
Level 3
15 of the guests at a stadium were women. 80% of the remaining guests were men and the rest were children. The number of men was 476 more than the total number of women and children. After some men left the stadium, 20% of the guests that remained were men. How many men left the stadium?
4 m
Fraction to units Percent to units Percent of different bases More than or less than Remainder concept All change Units table Units manipulation Units & parts Substitution
79 P6.FR.TL.16010151
Level 3
Madam Lin packed some stickers for a party. She packed 34 of the stickers into 6 blue bags and the rest into 26 violet bags. There were 90 stickers altogether in 1 blue and 2 violet bags. How many stickers did Madam Lin have at first?
4 m
Fraction to units Units table Units & parts Substitution
80 P6.RD.TL.16010114
Level 3
Lisa and Gillian had a total of 64 beads. Lisa gave 13 of her beads to Gillian. In return, Gillian gave 15 of the total number of beads that she had to Lisa. In the end, each girl had the same number of beads. How many beads did Gillian have at first?
4 m
Fraction to units Equal stage after Internal transfer Unchanged total Working backwards Units table Units & parts Substitution

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