91 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
92 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
93 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
94 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
95 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
96 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
97 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
98 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
99 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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