81 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
82 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
83 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
84 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
85 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
86 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
87 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
88 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
89 P6.AG.JC.17080457
Level 3
A van travels 20 km in 5r minutes. How far will it travel in 2 hours?
3 m
Algebra in 1 variable Algebra simplifying Algebra fractions Unit conversion Distance apart Units method
90 P6.AG.JC.17080468
Level 3
The cost price of a necklace was $9w. Dorothy decided to make 10% profit from the necklace. During a sale, a customer bought the necklace at a discount of 10%. What was Dorothy's loss?
4 m
Algebra in 1 variable Algebra simplifying Profit & loss
91 P6.AG.JC.17080467
Level 3
Ali is b years old. Bill is four times as old as Ali and Calvin is 6 years younger than Bill.
  1. Express Calvin's age in terms of b.
  2. Ali is 10 years old as of now. ln how many years' time will Calvin be 3 times as old as Ali?
4 m
Algebra in 1 variable Algebra simplifying More than or less than Times as many Units method
92 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
93 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
94 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
95 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

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