21 P6.AG.JC.17080450
Level 1
Sara had 100 sweets. She gave some sweets to k pupils and had 12 sweets left. How many sweets did each pupil get?
2 m
Algebra in 1 variable Algebra fractions
22 P6.AG.JC.17080449
Level 2
The area of each face of the cube in the figure is b2 cm2.
  1. Find the volume of the cube in terms of b.
  2. If b2 = 36, find the volume of the cube.
2 m
Algebra in 1 variable Algebra substitution Square & square root Volume of cube
23 P6.AG.JC.17080448
Level 1
Jimmy and Kenny had $180 in all. Ken had $(12b + 6) more than Jim. How much did Jim have if b = 7?
2 m
Algebra in 1 variable Algebra simplifying Algebra substitution Money More than or less than Units method
24 P6.AG.JC.17080447
Level 2
Tom has a mass of 8r kg. John is 4 kg heavier than Tom. The mass of May is twice the total mass of the Tom and John.
  1. Find the total mass of the 3 children in terms of r.
  2. If r = 2, find the average mass of the 3 children.
2 m
Algebra in 1 variable Algebra simplifying Algebra substitution Mass Average More than or less than Times as many
25 P6.AG.JC.17080446
Level 2
Gary weighs x kg while Jim weighs 2y kg.
  1. Find the average mass of each boy in terms of x and y.
  2. If x = 47 and y = 19, find the average mass of each boy.
2 m
Algebra in more than 1 variable Algebra simplifying Algebra substitution Mass Average
26 P6.AG.JC.17080444
Level 2
Mary baked 400 cookies. She ate 2p of them and divided the remainder equally among her 4 friends.
  1. Find the number of cookies each of her friends received in terms of p?
  2. If p = 12, how many cookies did each of her friends receive?
2 m
Algebra in 1 variable Algebra simplifying Algebra substitution Algebra fractions Units method
27 P6.AG.JC.17080443
Level 1
Find the value of 5a - 9b2 + 3c when a = 10, b = 2 and c = 12.
2 m
Algebra in more than 1 variable Algebra substitution
28 P6.AG.JC.17080442
Level 2
The perimeter of an isosceles triangle is (6k + 21) cm. The longest side is (2k + 7) cm. Find the length of one of the equal sides.
2 m
Algebra in 1 variable Algebra simplifying Length Area Perimeter Triangle
29 P6.AG.JC.17080441
Level 2
Sarah has enough flour to bake either 12s muffins or 9r croissants. If she has finished baking 40 muffins and 3r croissants, how many more muffins can she still bake in terms of s?
2 m
Algebra in 1 variable Algebra simplifying LCM More than or less than Proportion
30 P6.AG.JC.17080440
Level 3
Some oil is leaking from a crack of a bottle. After z minutes, the volume, V, of the oil left in the bottle is given as V = 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

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