Question 1: A 500g pack of biscuits costs $3.50. A 750g pack costs $5.25. Which pack has a lower price per gram? Show your calculations.

Answer: The 500g pack costs $0.007 per gram; the 750g pack costs $0.007 per gram. Both are equal.

Question 2: Calculate the unit price of a 2-liter bottle of juice costing $4.80.

Answer: Unit price = $4.80 / 2L = $2.40 per liter.

Question 3: A box of cereal weighs 350g and costs $4.20. Another box weighs 500g and costs $5.00. Which is more economical per gram? Show your working.

Answer: 350g at $0.012 per g; 500g at $0.010 per g. The 500g box is cheaper per gram.

Question 4: A 6-pack of bottled water costs $3.60. A 12-pack costs $6.50. Which pack offers a better unit price? Explain your reasoning.

Answer: 6-pack: $3.60/6 = $0.60 per bottle; 12-pack: $6.50/12 ≈ $0.54 per bottle. The 12-pack is cheaper overall.

Question 5: A 3kg bag of rice costs $9.75. A 5kg bag costs $16.25. Which is more cost-effective per kilogram? Show your calculations.

Answer: 3kg at $3.25/kg; 5kg at $3.25/kg. Both cost the same per kg.

Question 6: Compare the unit prices of two shampoos: one costs $4.80 for 250ml, and the other costs $6.40 for 400ml. Which offers better value?

Answer: 250ml at $0.0192/ml; 400ml at $0.016/ml. The 400ml bottle offers better value.

Question 7: A grocery store sells apples at $2.40 per kilogram. A different store sells apples at $0.35 per 200 grams. Which store offers a better price per kilogram?

Answer: 200g at $0.35; per kg: $1.75. The store selling at $2.40 per kg is more expensive.

Question 8: A customer buys a 1.5kg packet of flour for $2.70. Another packet weighing 2kg costs $3.60. Which is more economical per kilogram? Show your working.

Answer: 1.5kg at $1.80/kg; 2kg at $1.80/kg. Both cost the same per kg.

Question 9: Plot the graph of y=2x for x values from 0 to 5. Use the grid to draw the line.

Answer: Students plot points (0,0), (1,2), (2,4), (3,6), (4,8), (5,10) and draw the line.

Question 10: Construct a rectangle on the grid where the length is 4 units and the width is 2 units. Calculate the perimeter and area.

Answer: Perimeter = 2(4+2)=12 units; Area=4×2=8 square units.

Question 11: A store sells a 1-liter bottle of juice for $1.80 and a 1.5-liter bottle for $2.50. Which is the better deal per liter? Show your calculations.

Answer: 1L at $1.80; 1.5L at $1.67 per liter. The 1.5L bottle is cheaper per liter.

Question 12: A pack of 10 pens costs $4.50. A pack of 15 pens costs $6.30. Which pack provides better value per pen? Show your work.

Answer: 10 pens at $0.45 each; 15 pens at $0.42 each. The 15-pack is better value.

Question 13: A shop offers a discount of 20% on a product originally priced at $25. What is the discounted price? Is it a better deal than paying full price?

Answer: Discounted price = $25 - 20% of $25 = $20; Yes, it is cheaper.