Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 A car park charges these rates. Read the whole table first. What does it cost to park for 2 hours?
Show worked solution
2 hours falls in the "up to 3 hours" band, so $9.
2 Using the same rates, write the cost of parking for 45 minutes, and the cost of parking for 5 hours.
Show worked solution
45 minutes is within 1 hour, so 4 dollars. 5 hours is within 6 hours, so 15 dollars.
3 Using the same rates, how many dollars does it cost to park for 30 minutes?
Show worked solution
Under an hour, so 4 dollars.
Level 2 · Core
4 Using the same rates, what is the cheapest cost of parking for 7 hours?
Show worked solution
Seven hours exceeds every band except all day, so $22.
5 Using the same rates, write the cost of parking for 4 hours, and how much less that is than the all-day rate.
Show worked solution
4 hours costs 15 dollars, and 22 − 15 = 7 dollars less than all day.
6 Using the same rates, how many dollars does it cost to park for 8 hours?
Show worked solution
Only the all-day rate covers it: 22 dollars.
Level 3 · Challenge
7 Using the same car park rates, consider two separate visits of 3 hours each, against one visit of 6 hours.1 Two 3-hour visits cost $18.
2 One 6-hour visit costs $15.
3 The two separate visits are cheaper.
Which statements are correct?
2 One 6-hour visit costs $15.
3 The two separate visits are cheaper.
Which statements are correct?
Show worked solution
Two 3-hour visits are 2 × $9 = $18 (1 ✓), and one 6-hour visit is $15 (2 ✓). So the single visit is cheaper, not the separate ones (3 ✗). 1 and 2.
8 Using the same rates, two cars park — one for 2 hours and one for 5 hours. Write the total cost, and the difference between the two charges, in dollars.
Show worked solution
2 hours is $9 and 5 hours is $15, so the total is 24 dollars and the difference is 15 − 9 = 6 dollars.
9 Using the same rates, how many dollars are saved by parking once for 6 hours instead of twice for 3 hours?
Show worked solution
2 × $9 = $18 against $15, so 3 dollars are saved.